Names of large numbers

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Numbers that are larger than one million are usually either represented using scientific notation, or by words.[1]

Overview

United States

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).[source?]

United Kingdom

The change in the United Kingdom to short form numbering happened in 1974. Today, Short form is most commonly used in most English speaking countries.[source?]

Names for large numbers

Scientific
notation
American name

(Short Form)

Old European name

(Long Form)

Old-British nameSI SymbolMetric prefix
100OneOneOne
101TenTenTendaDeca-
102HundredHundredHundredhHecto-
103ThousandThousandThousandkKilo-
104Ten thousandTen thousandTen thousand
105Hundred thousandHundred thousandHundred thousand
106MillionMillionMillionMMega-
109BillionMilliardThousand millionGGiga-
1012TrillionBillionBillionTTera-
1015QuadrillionBilliardThousand billionPPeta-
1018QuintillionTrillionTrillionEExa-
1021SextillionTrilliardThousand trillionZZetta-
1024SeptillionQuadrillionQuadrillionYYotta-
1027OctillionQuadrilliardThousand quadrillionRRonna-
1030NonillionQuintillionQuintillionQQuetta-
1033DecillionQuintilliardThousand quintillion
1036UndecillionSextillionSextillion
1039DuodecillionSextilliardThousand sextillion
1042TredecillionSeptillionSeptillion
1045QuattuordecillionSeptilliardThousand septillion
1048QuindecillionOctillionOctillion
1051SexdecillionOctilliardThousand octillion
1054SeptendecillionNonillionNonillion
1057OctodecillionNonilliardThousand nonillion
1060NovemdecillionDecillionDecillion
1063VigintillionDecilliardThousand decillion
1066UnvigintillionUndecillionUndecillion
1069DuovigintillionUndecilliardThousand undecillion
1072TrevigintillionDuodecillionDuodecillion
1075QuattuorvigintillionDuodecilliardThousand duodecillion
1078QuinvigintillionTredecillionTredecillion
1081SexvigintillionTredecilliardThousand tredecillion
1084SeptenvigintillionQuattuordecillionQuattuordecillion
1087OctovigintillionQuattuordecilliardThousand quattuordecillion
1090NovemvigintillionQuindecillionQuindecillion
1093TrigintillionQuindecilliardThousand quindecillion
1096UntrigintillionSexdecillionSexdecillion
1099DuotrigintillionSexdecilliardThousand sexdecillion
10100GoogolGoogolGoogol
10101GoogoltyGoogoltyGoogolty
10102TretrigintillionSeptendecillionSeptendecillion
10105QuattuortrigintillionSeptendecilliardThousand septendecillion
10108QuintrigintillionOctodecillionOctodecillion
10111SextrigintillionOctodecilliardThousand octodecillion
10114SeptentrigintillionNovemdecillionNovemdecillion
10117OctotrigintillionNovemdecilliardThousand novemdecillion
10120NovemtrigintillionVigintillionVigintillion
10123QuadragintillionVigintilliardThousand vigintillion
10126UnquadragintillionUnvigintillionUnvigintillion
10129DuoquadragintillionUnvigintilliardThousand unvigintillion
10132TrequadragintillionDuovigintillionDuovigintillion
10135QuattuorquadragintillionDuovigintilliardThousand duovigintillion
10138QuinquadragintillionTrevigintillionTrevigintillion
10141SexquadragintillionTrevigintilliardThousand trevigintillion
10144SeptenquadragintillionQuattuorvigintillionQuattuorvigintillion
10147OctoquadragintillionQuattuorvigintilliardThousand quattuorvigintillion
10150NovemquadragintillionQuinvigintillionQuinvigintillion
10153QuinquagintillionQuinvigintilliardThousand Quinvigintillion
10156UnquinquagintillionSexvigintillionSexvigintillion
10159DuoquinquagintillionSexvigintilliardThousand sexvigintillion
10162TrequinquagintillionSeptenvigintillionSeptenvigintillion
10165QuattuorquinquagintillionSeptenvigintilliardThousand septenvigintillion
10168QuinquinquagintillionOctovigintillionOctovigintillion
10171SexquinquagintillionOctovigintilliardThousand octovigintillion
10174SeptenquinquagintillionNovemvigintillionNovemvigintillion
10177OctoquinquagintillionNovemvigintilliardThousand novemvigintillion
10180NovemquinquagintillionTrigintillionTrigintillion
10183SexagintillionTrigintilliardThousand Trigintillion
10186UnsexagintillionUntrigintillionUntrigintillion
10189DuosexagintillionUntrigintilliardThousand Untrigintillion
10192TresexagintillionDuotrigintillionDuotrigintillion
10195QuattuorsexagintillionDuotrigintilliardThousand duotrigintillion
10198QuinsexagintillionTretrigintillionTretrigintillion
10201SexsexagintillionTretrigintilliardThousand Tretrigintillion
10204SeptensexagintillionQuattuortrigintillionQuattuortrigintillion
10207OctosexagintillionQuattuortrigintilliardThousand quattuortrigintillion
10210NovemsexagintillionQuintrigintillionQuintrigintillion
10213SeptuagintillionQuintrigintilliardThousand Quintrigintillion
10216UnseptuagintillionSextrigintillionSextrigintillion
10219DuoseptuagintillionSextrigintilliardThousand sextrigintillion
10222TreseptuagintillionSeptentrigintillionSeptentrigintillion
10225QuattuorseptuagintillionSeptentrigintilliardThousand septentrigintillion
10228QuinseptuagintillionOctotrigintillionOctotrigintillion
10231SexseptuagintillionOctotrigintilliardThousand octotrigintillion
10234SeptenseptuagintillionNovemtrigintillionNovemtrigintillion
10237OctoseptuagintillionNovemtrigintilliardThousand novemtrigintillion
10240NovemseptuagintillionQuadragintillionQuadragintillion
10243OctogintillionQuadragintilliardThousand quadragintillion
10246UnoctogintillionUnquadragintillionUnquadragintillion
10249DuooctogintillionUnquadragintilliardThousand unquadragintillion
10252TreoctogintillionDuoquadragintillionDuoquadragintillion
10255QuattuoroctogintillionDuoquadragintilliardThousand duoquadragintillion
10258QuinoctogintillionTrequadragintillionTrequadragintillion
10261SexoctogintillionTrequadragintilliardThousand trequadragintillion
10264SeptenoctogintillionQuattuorquadragintillionQuattuorquadragintillion
10267OctooctogintillionQuattuorquadragintilliardThousand quattuorquadragintillion
10270NovemoctogintillionQuinquadragintillionQuinquadragintillion
10273NonagintillionQuinquadragintilliardThousand quinquadragintillion
10276UnnonagintillionSexquadragintillionSexquadragintillion
10279DuononagintillionSexquadragintilliardThousand sexquadragintillion
10282TrenonagintillionSeptenquadragintillionSeptenquadragintillion
10285QuattuornonagintillionSeptenquadragintilliardThousand septenquadragintillion
10288QuinnonagintillionOctoquadragintillionOctoquadragintillion
10291SexnonagintillionOctoquadragintilliardThousand octoquadragintillion
10294SeptennonagintillionNovemquadragintillionNovemquadragintillion
10297OctononagintillionNovemquadragintilliardThousand novemquadragintillion
10300NovemnonagintillionQuinquagintillionQuinquagintillion
10303CentillionQuinquagintilliardThousand quinquagintillion
10306UncentillionUnquinquagintillionUnquinquagintillion
10309DuocentillionUnquinquagintilliardThousand unquinquagintillion
10312Trescentillion
10315Quattuorcentillion
10318Quincentillion
10321Sexcentillion
10324Septencentillion
10327Octocentillion
10330Novemcentillion
10333Decicentillion
10363Viginticentillion
10393Triginticentillion
10423Quadragintacentillion
10453Quinquagintacentillion
10483Sexagintacentillion
10513Septuacentillion
10543Octogintacentillion
10573Nonagintacentillion
10603Ducentillion
10903Trecentillion
101203Quadringentillion
101503Quingentillion
101803Sescentillion
102103Septingentillion
102403Octingentillion
102703Nongentillion
103003Millinillion
106003Billinillion
109003Trillinillion
1010100Googolplex
10101034Skewes' Number
10GoogolplexGoogolplexian
10GoogolplexianGoogolplexianth
3↑↑...↑↑3Graham's Number

There is also the number googol, which is a 1 with 100 zeros behind it (10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000), and the number googolplex, which is a 1 with a googol of zeros behind it, (10Googol). There is also Googolplexian (10Googolplex) and Googolplexianth (10Googolplexian)

The name centillion was devised in the 19th century for the 100th "illion", being 10303 in short form and 10600 in long form, and is much bigger than googol.

The number TREE 3 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.[2]

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.[source?]

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.[source?]

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 way much larger numbers.[3][better source needed] Adam and Chuquet both used long scale. For example, Adam's billion (Chuquet's (bi)llion) was used to write 1012.[4][better source needed] 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.[3][5] These words were also probably commonly used before the books were written.[3]

Other websites

References

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