Names of large numbers
There are two main ways of using words to write large numbers. The American way or "short form" for naming large numbers is different from the European way or "long form" of naming large numbers. This is mainly because of American finance.
Short form numbering is based on thousands and Long form is based on millions. Because of this, in Short form a billion is one thousand millions (109) while in Long form it is one million millions (1012).
The change in the United Kingdom (UK) to short-form numbering happened in 1973. Today, Short form is most commonly used in most English speaking countries.
History
Prehistory
Numbers were first used by prehistoric tribes. Those prehistoric tribes invented numbers as a way to measure and calculate items, something which required counting. More advanced prehistoric tribes later invented mathematics and they started adding, subtracting, and multiplying as a way to measure and calculate more advanced and complex items and certain fields.
Bronze Age
Large numbers were first used by ancient civilizations such as Sumer, Ancient Egypt, Akkad, Babylonia, the Hittite Empire, Rome, and Greece, for measuring and calculating items. As civilizations grew more complex, numbers did as well.
Renaissance
The words billion and trillion, and millions were first written to describe extremely large numbers in 1475 by Jehan Adam. In 1484, Nicolas Chuquet used the words million, billion, trillion, and even further to write and describe much larger numbers.[1] Adam and Chuquet both used long scale. For example, Adam's billion (Chuquet's (bi)llion) was used to write 1012.[2] While these were the first writings that used these words, Adam and Chuquet were probably not the creators of the words. The word million comes from the Old Italian millione.[1][3] These words were also probably commonly used before the books were written.[1]
Names for large numbers
| Scientific notation |
American name
(Short Form) |
Old European name
(Long Form) |
Old-British name | Unit | SI Symbol | Metric prefix |
|---|---|---|---|---|---|---|
| 0 | Zero | Zero | Zero | Z | o | Ouno- |
| 10-111 | Sextrigintillionth | Octodecilliardth | Thousandth Octodecillionth | Sxtgt | vt | Vepkto- |
| 10-108 | Quintrigintillionth | Octodecillionth | Octodecillionth | Qitgt | wx | Wixo- |
| 10-105 | Quattourtrigintillionth | Septendecilliard | Thousand septendecillion | Qatgt | xg | Xego- |
| 10-102 | Tretrigintillionth | Septendecillionth | Septendecillionth | Ttgt | yr | Yuro- |
| 10-99 | Duotrigintillionth | Sexdecilliardth | Thousand sexdecillionth | Dtgt | zr | Ziro- |
| 10-96 | Untrigintillionth | Sexdecillionth | Sexdecillionth | Utgt | at | Arito- |
| 10-93 | Trigintillionth | Quindecilliard | Thousand quindecillionth | Tgt | bt | Broto- |
| 10-90 | Novemvigintillionth | Quindecillionth | Quindecillionth | Novgt | crt | Cerito- |
| 10-87 | Octovigintillionth | Quattuordecilliardth | Thousand quattuordecillionth | Ocvgt | dst | Deseto- |
| 10-84 | Septenvigintillionth | Quattuordecillionth | Quattuordecillionth | Spvgt | est | Esto- |
| 10-81 | Sexvigintillionth | Tredecilliardth | Thousand tredecillionth | Sxvgt | fkt | Fekato- |
| 10-78 | Quinvigintillionth | Tredecillionth | Tredecillionth | Qivgt | grt | Groto- |
| 10-75 | Quattuorvigintillionth | Duodecilliardth | Thousand duodecillionth | Qavgt | hem | Hemmo- |
| 10-72 | Trevigintillionth | Duodecillionth | Duodecillionth | Tvgt | int | Into- |
| 10-69 | Duovigintillionth | Undecilliardth | Thousand undecillionth | Dvgt | jt | Jeto- |
| 10-66 | Unvigintillionth | Undecillionth | Undecillionth | Uvgt | kr | Kentro- |
| 10-63 | Vigintillionth | Decilliardth | Thousand decillionth | Vgt | lt | Lunto- |
| 10-60 | Novemdecillionth | Decillionth | Decillionth | Nodct | mt | Mikto- |
| 10-57 | Octodecillionth | Nonilliardth | Thousand nonillionth | Ocdct | nt | Nekto- |
| 10-54 | Septendecillionth | Nonillionth | Nonillionth | Spdct | or | Otro- |
| 10-51 | Sexdecillionth | Octilliardth | Thousand octillionth | Sxdct | pt | Pekto- |
| 10-48 | Quindecillionth | Octillionth | Octillionth | Qidct | qx | Quexo- |
| 10-45 | Quattuordecillionth | Septilliardth | Thousand septillionth | Qadct | ri | Rinto- |
| 10-42 | Tredecillionth | Septillionth | Septillionth | Tdct | st | Sorto- |
| 10-39 | Duodecillionth | Sextilliardth | Thousand sextillionth | Ddct | tt | Trekto- |
| 10-36 | Undecillionth | Sextillionth | Sextillionth | Udct | ut | Unto- |
| 10-33 | Decillionth | Quintilliardth | Thousand quintillionth | Dct | vt | Vunto- |
| 10-30 | Nonillionth | Quintillionth | Quintillionth | Not | qt | Quecto- |
| 10-27 | Octillionth | Quadrilliardth | Thousand quadrillionth | Oct | rt | Ronto- |
| 10-24 | Septillionth | Quadrillionth | Quadrillionth | Spt | y | Yocto- |
| 10-21 | Sextillionth | Trilliardth | Thousand trillionth | Sxt | z | Zepto- |
| 10-18 | Quintillionth | Trillionth | Trillionth | Qit | a | Atto- |
| 10-15 | Quadrillionth | Billiardth | Thousand billionth | Qat | f | Femto- |
| 10-12 | Trillionth | Billionth | Billionth | Tt | p | Pico- |
| 10-9 | Billionth | Milliardth | Thousand millionth | Bt | n | Nano- |
| 10-6 | Millionth | Millionth | Millionth | Mt | μ | Micro- |
| 10-3 | Thousandth | Thousandth | Thousandth | Kt | m | Milli- |
| 0.01 | Hundredth | Hundredth | Hundredth | Ht | c | Centi- |
| 0.1 | Tenth | Tenth | Tenth | Tt | d | Deci- |
| is small numbers(↑)
is large numbers(↓) | ||||||
| 100 | One | One | One | O | - | |
| 101 | Ten | Ten | Ten | T | da | Deca- |
| 102 | Hundred | Hundred | Hundred | H | h | Hecto- |
| 103 | Thousand | Thousand | Thousand | K | k | Kilo- |
| 106 | Million | Million | Million | M | M | Mega- |
| 109 | Billion | Milliard | Thousand million | B | G | Giga- |
| 1012 | Trillion | Billion | Billion | T | T | Tera- |
| 1015 | Quadrillion | Billiard | Thousand billion | Qa | P | Peta- |
| 1018 | Quintillion | Trillion | Trillion | Qi | E | Exa- |
| 1021 | Sextillion | Trilliard | Thousand trillion | Sx | Z | Zetta- |
| 1024 | Septillion | Quadrillion | Quadrillion | Sp | Y | Yotta- |
| 1027 | Octillion | Quadrilliard | Thousand quadrillion | Oc | Rn | Ronna- |
| 1030 | Nonillion | Quintillion | Quintillion | No | Qu | Quetta- |
| 1033 | Decillion | Quintilliard | Thousand quintillion | Dc | Vd | Vunda- |
| 1036 | Undecillion | Sextillion | Sextillion | Udc | Ud | Uda- |
| 1039 | Duodecillion | Sextilliard | Thousand sextillion | Ddc | Td | Treda- |
| 1042 | Tredecillion | Septillion | Septillion | Tdc | St | Sorta- |
| 1045 | Quattuordecillion | Septilliard | Thousand septillion | Qadc | Rt | Rinta- |
| 1048 | Quindecillion | Octillion | Octillion | Qidc | Qx | Quexa- |
| 1051 | Sexdecillion | Octilliard | Thousand octillion | Sxdc | Pp | Pepta- |
| 1054 | Septendecillion | Nonillion | Nonillion | Spdc | Oc | Ocha- |
| 1057 | Octodecillion | Nonilliard | Thousand nonillion | Ocdc | Nn | Nena- |
| 1060 | Novemdecillion | Decillion | Decillion | Nodc | Mg | Minga- |
| 1063 | Vigintillion | Decilliard | Thousand decillion | Vg | Lm | Luma- |
| 1066 | Unvigintillion | Undecillion | Undecillion | Uvg | Km | Kama- |
| 1069 | Duovigintillion | Undecilliard | Thousand undecillion | Dvg | Jm | Jama- |
| 1072 | Trevigintillion | Duodecillion | Duodecillion | Tvg | Ink | Ianka- |
| 1075 | Quattuorvigintillion | Duodecilliard | Thousand duodecillion | Qavg | Hvt | Hevta- |
| 1078 | Quinvigintillion | Tredecillion | Tredecillion | Qivg | Grn | Grina- |
| 1081 | Sexvigintillion | Tredecilliard | Thousand tredecillion | Sxvg | Frm | Ferma- |
| 1084 | Septenvigintillion | Quattuordecillion | Quattuordecillion | Spvg | Ekc | Ekcha- |
| 1087 | Octovigintillion | Quattuordecilliard | Thousand quattuordecillion | Ocvg | Drn | Druna- |
| 1090 | Novemvigintillion | Quindecillion | Quindecillion | Novg | Cer | Cera- |
| 1093 | Trigintillion | Quindecilliard | Thousand quindecillion | Tg | Bt | Brota- |
| 1096 | Untrigintillion | Sexdecillion | Sexdecillion | Utg | At | Arita- |
| 1099 | Duotrigintillion | Sexdecilliard | Thousand sexdecillion | Dtg | Zr | Zira- |
| 10100 | Googol | Googol | Googol | G | Ggl | Googoly- |
| 10102 | Tretrigintillion | Septendecillion | Septendecillion | Ttg | Yr | Yura- |
| 10105 | Quattuortrigintillion | Septendecilliard | Thousand septendecillion | Qatg | Xg | Xega- |
| 10108 | Quintrigintillion | Octodecillion | Octodecillion | Qitg | Wx | Wixa- |
| 10111 | Sextrigintillion | Octodecilliard | Thousand octodecillion | Sxtg | Vt | Vepta- |
| 10114 | Septentrigintillion | Novemdecillion | Novemdecillion | Sptg | Ut | Uta- |
| 10117 | Octotrigintillion | Novemdecilliard | Thousand novemdecillion | Octg | Tx | Texa- |
| 10120 | Novemtrigintillion | Vigintillion | Vigintillion | Notg | Set | Setta- |
| 10123 | Quadragintillion | Vigintilliard | Thousand vigintillion | Qd | Rot | Rotta- |
| 10126 | Unquadragintillion | Unvigintillion | Unvigintillion | Uqd | Qut | Quotta- |
| 10129 | Duoquadragintillion | Unvigintilliard | Thousand unvigintillion | Dqd | Pet | Petta- |
| 10132 | Trequadragintillion | Duovigintillion | Duovigintillion | Tqd | Onn | Onna- |
| 10135 | Quattuorquadragintillion | Duovigintilliard | Thousand duovigintillion | Qaqd | Nen | Nenna- |
| 10138 | Quinquadragintillion | Trevigintillion | Trevigintillion | Qiqd | Mn | Mina- |
| 10141 | Sexquadragintillion | Trevigintilliard | Thousand trevigintillion | Sxqd | Lk | Lika- |
| 10144 | Septenquadragintillion | Quattuorvigintillion | Quattuorvigintillion | Spqd | Km | Kema- |
| 10147 | Octoquadragintillion | Quattuorvigintilliard | Thousand quattuorvigintillion | Ocqd | Jrt | jretta- |
| 10150 | Novemquadragintillion | Quinvigintillion | Quinvigintillion | Noqd | Iqt | Iqatta- |
| 10153 | Quinquagintillion | Quinvigintilliard | Thousand Quinvigintillion | Qt | Hit | Huitta- |
| 10156 | Unquinquagintillion | Sexvigintillion | Sexvigintillion | Uqt | Gtt | Gatextta- |
| 10159 | Duoquinquagintillion | Sexvigintilliard | Thousand sexvigintillion | Dqt | Fqs | Feqesa- |
| 10162 | Trequinquagintillion | Septenvigintillion | Septenvigintillion | Tqt | Ecd | Enscenda- |
| 10165 | Quattuorquinquagintillion | Septenvigintilliard | Thousand septenvigintillion | Qaqt | Dst | Desyta- |
| 10168 | Quinquinquagintillion | Octovigintillion | Octovigintillion | Qiqt | Cnt | Ceanata- |
| 10171 | Sexquinquagintillion | Octovigintilliard | Thousand octovigintillion | Sxqt | Bvg | Bevvgta- |
| 10174 | Septenquinquagintillion | Novemvigintillion | Novemvigintillion | Spqt | Avt | Avta- |
| 10177 | Octoquinquagintillion | Novemvigintilliard | Thousand novemvigintillion | Ocqt | Zb | Zeba- |
| 10180 | Novemquinquagintillion | Trigintillion | Trigintillion | Noqt | Yb | Yoba- |
| 10183 | Sexagintillion | Trigintilliard | Thousand Trigintillion | Sg | Xb | Xebba- |
| 10186 | Unsexagintillion | Untrigintillion | Untrigintillion | Usg | Wb | Weba- |
| 10189 | Duosexagintillion | Untrigintilliard | Thousand Untrigintillion | Dsg | Vb | Vunba- |
| 10192 | Tresexagintillion | Duotrigintillion | Duotrigintillion | Tsg | Ub | Uba- |
| 10195 | Quattuorsexagintillion | Duotrigintilliard | Thousand duotrigintillion | Qasg | Tb | Treba- |
| 10198 | Quinsexagintillion | Tretrigintillion | Tretrigintillion | Qisg | Sb | Sorba- |
| 10201 | Sexsexagintillion | Tretrigintilliard | Thousand Tretrigintillion | Sxsg | Rb | Rinba- |
| 10204 | Septensexagintillion | Quattuortrigintillion | Quattuortrigintillion | Spsg | Qb | Queba- |
| 10207 | Octosexagintillion | Quattuortrigintilliard | Thousand quattuortrigintillion | Ocsg | Pb | Pepba- |
| 10210 | Novemsexagintillion | Quintrigintillion | Quintrigintillion | Nosg | Ob | Ocba- |
| 10213 | Septuagintillion | Quintrigintilliard | Thousand Quintrigintillion | St | Nb | Neba- |
| 10216 | Unseptuagintillion | Sextrigintillion | Sextrigintillion | Ust | Mb | Minba- |
| 10219 | Duoseptuagintillion | Sextrigintilliard | Thousand sextrigintillion | Dst | Lb | Luba- |
| 10222 | Treseptuagintillion | Septentrigintillion | Septentrigintillion | Tst | Kb | Kaba- |
| 10225 | Quattuorseptuagintillion | Septentrigintilliard | Thousand septentrigintillion | Qast | Jb | Jaba- |
| 10228 | Quinseptuagintillion | Octotrigintillion | Octotrigintillion | Qist | Lab | Laba- |
| 10231 | Sexseptuagintillion | Octotrigintilliard | Thousand octotrigintillion | Sxst | Heb | Heba- |
| 10234 | Septenseptuagintillion | Novemtrigintillion | Novemtrigintillion | Spst | Grb | Griba- |
| 10237 | Octoseptuagintillion | Novemtrigintilliard | Thousand novemtrigintillion | Ocst | Frb | Freba- |
| 10240 | Novemseptuagintillion | Quadragintillion | Quadragintillion | Nost | Ecb | Ecba- |
| 10243 | Octogintillion | Quadragintilliard | Thousand quadragintillion | Og | Drb | Druba- |
| 10246 | Unoctogintillion | Unquadragintillion | Unquadragintillion | Uog | Ceb | Ceba- |
| 10249 | Duooctogintillion | Unquadragintilliard | Thousand unquadragintillion | Dog | Bb | Broba- |
| 10252 | Treoctogintillion | Duoquadragintillion | Duoquadragintillion | Tog | Ab | Ariba- |
| 10255 | Quattuoroctogintillion | Duoquadragintilliard | Thousand duoquadragintillion | Qaog | Ap | Alpha- |
| 10258 | Quinoctogintillion | Trequadragintillion | Trequadragintillion | Qiog | Bt | Beta- |
| 10261 | Sexoctogintillion | Trequadragintilliard | Thousand trequadragintillion | Sxog | Mt | Meta- |
| 10264 | Septenoctogintillion | Quattuorquadragintillion | Quattuorquadragintillion | Spog | Rk | Ronkna- |
| 10267 | Octooctogintillion | Quattuorquadragintilliard | Thousand quattuorquadragintillion | Ocog | Qc | Quecca- |
| 10270 | Novemoctogintillion | Quinquadragintillion | Quinquadragintillion | Noog | Pc | Peca- |
| 10273 | Nonagintillion | Quinquadragintilliard | Thousand quinquadragintillion | Ng | Ht | Hangntta- |
| 10276 | Unnonagintillion | Sexquadragintillion | Sexquadragintillion | Ung | Ydf | Ynadgffiga- |
| 10279 | Duononagintillion | Sexquadragintilliard | Thousand sexquadragintillion | Dng | Efd | Edfusda- |
| 10282 | Trenonagintillion | Septenquadragintillion | Septenquadragintillion | Tng | Xsd | Xesdoa- |
| 10285 | Quattuornonagintillion | Septenquadragintilliard | Thousand septenquadragintillion | Qang | Dsr | Deseria- |
| 10288 | Quinnonagintillion | Octoquadragintillion | Octoquadragintillion | Qing | Shv | Shavia- |
| 10291 | Sexnonagintillion | Octoquadragintilliard | Thousand octoquadragintillion | Sxng | Omn | Osmana- |
| 10294 | Septennonagintillion | Novemquadragintillion | Novemquadragintillion | Spng | Cpr | Cypria- |
| 10297 | Octononagintillion | Novemquadragintilliard | Thousand novemquadragintillion | Ocng | Phen | Phoenia- |
| 10300 | Novemnonagintillion | Quinquagintillion | Quinquagintillion | Nong | Krsh | Kharosha- |
| 10303 | Centillion | Quinquagintilliard | Thousand quinquagintillion | Ce | Cet | Centa- |
| 103,003 | Millinillion | Quingentilliard | Thousand quingentillion | Mn | Ma | Milla- |
| 103,000,003 | Micrillion | Quinquagintillinilliard | Thousand Quinquagintillinillion | Mcr | Mgn | Magna- |
| 103,000,000,003 | Nanillion | Quinquagintimicrilliard | Thousand Quinquagintimicrilliom | NaN | Ign | Ingenia |
| 1010100 | Googolplex | Googolplex | Googolplex | Gp | Ggpx | Googolplexo- |
| 10101034 | Skewes' Number | Skewes' Number | Skewes' Number | Sk'N | Skr | Skewri- |
| 101010100 | Googolduplex | Googolduplex | Googolduplex | Gpx | Ggdpx | Googolduplexo- |
| 1010101,264 | Skewer's Number | Skewer's Number | Skewer's Number | Skr'N | Skrs | Skewrese- |
| 1010101,656 | Skewere's Number | Skewere's Number | Skewere's Number | Skre'N | Skrsr | Skewresri- |
| 101010googol | Googoltriplex | Googoltriplex | Googoltriplex | Gtpx | Ggtpx | Googoltriplexo- |
| 10↑↑100 | Giggol | Giggol | Giggol | Gg | ||
| E100#1000 | Googolmilliplex | Googolmilliplex | Googolmilliplex | Gmlp | ||
| 10↑↑10000 | Giggoltoll | Giggoltoll | Giggoltoll | Ggt | ||
| E100#1,000,000 | Googolmegaplex | Googolmegaplex | Googolmegaplex | Gmgp | ||
| E100#E9 | Googolgigaplex | Googolgigaplex | Googolgigaplex | Ggp | ||
| E100#E100 | Googolstack | Googolstack | Googolstack | Gs | ||
| 10↑↑↑100 | Gaggol | Ga | ||||
| 10↑↑↑↑100 | Geegol | Ge | ||||
| 10↑↑↑↑↑100 | Gigol | Gi | ||||
| 10{100}100 | Boogol | Bg | ||||
| 10{10↑↑100}100 | Goobol | Gb | ||||
| G64 | Graham's Number | Grh'N | ||||
| Rayo(10100) | Rayo's Number | Ry'N | ||||
| ∞ | Infinity | Inf | Ap | Aperio- | ||
| ω | Omega | Omg | ||||
| 0 | Aleph Zero | Alef | ||||
| ℶ1 | Beth One | Bto | ||||
| ℶ2 | Beth Two | Btt | ||||
| ℶω | Beth Omega | BtA | ||||
| ℶ∞ | Beth Infinity | Bt-infa | Sxcycxoniaiea- | |||
| ω∞ | Infinita | Inf-ta | Byxhiscyxo- | |||
| ℵ∞ | Infinitinia | Inf-nia | Cleuroyso- | |||
| I | Inaccessible Cardinal | Inc Cd | ||||
| K | Weakly Compact Cardinal | We Cop Cd | ||||
| Omagi | ˠ | Omg-i | Omgeguagisicolo- | |||
| ⍢ | The Mega Complex | T-M-C | TMC | T-M--C--- | ||
| ת | Absolute Infinity | Ab Inf | Tav | Tavia- | ||
Beyond Absolute Infinity
| Number | What is the number | Unit | level |
|---|---|---|---|
| &1 | 1x more than Ω | A.Aa1 | Omega |
| &10 | 10x more than Ω | B.Aa1 | Omega |
| &100 | 100x more than Ω | C.Aa1 | Omega |
| &999 | 999x more than Ω | C.Aa9.99 | Omega |
| &1000 | 1000x more than Ω | D.Aa1 | Omega |
This is a framework organized from 0 to &100.
The number TREE 3 and SSCG 3-5 is so incomprehensibly big it dwarfs every other number compared to it, far surpassing even exponential growth or the number of atoms in the known universe. It originates from a mathematical game about arranging trees (graph structures) under specific rules, where the challenge is to avoid repeating any previously created tree patterns.[4]
Other websites
- Pointless Big Numbers
- Counting Really,REALLY,REALLY High
- Naming Large Numbers Archived 2022-08-11 at the Wayback Machine
References
- ↑ 1.0 1.1 1.2 Flegg, Graham (1985). Flegg, Cynthia; Moss, Barbara (eds.). Nicolas Chuquet, Renaissance Mathematician. D. Reidel. p. 29. ISBN 978-90-277-1872-3.
- ↑ "Large Numbers -- Notes (page 2) at MROB". www.mrob.com. Retrieved 2024-05-30.
- ↑ "Definition of MILLION". www.merriam-webster.com. 2024-05-26. Retrieved 2024-05-30.
- ↑ "The Enormity of the Number TREE(3) Is Beyond Comprehension". Popular Mechanics. 2017-10-20. Retrieved 2024-12-09.