place value intl and hindu arabic
[https://simple.wikipedia.org/wiki/Names_of_large_numbers]
[http://www.lekno.ws/A/bignumb.html]
| Scientific Notation | American Name (Short Form) | Old European Name (Long Form) | Old British Name | SI Symbol | Metric Prefix |
|---|---|---|---|---|---|
| 1 | One | One | One | ||
| 10 | Ten | Ten | Ten | da | Deca- |
| 100 | Hundred | Hundred | Hundred | c | Cent- |
| 1,000 | Thousand | Thousand | Thousand | k | Kilo- |
| 10,000 | Ten thousand | Ten thousand | Ten thousand | ||
| 100,000 | Hundred thousand | Hundred thousand | Hundred thousand | ||
| 1,000,000 | Million | Million | Million | M | Mega- |
| 10^9 | Billion | Milliard | Thousand million | G | Giga- |
| 10^12 | Trillion | Billion | Billion | T | Tera- |
| 10^15 | Quadrillion | Billiard | Thousand billion | P | Peta- |
| 10^18 | Quintillion | Trillion | Trillion | E | Exa- |
| 10^21 | Sextillion | Trilliard | Thousand trillion | Z | Zetta- |
| 10^24 | Septillion | Quadrillion | Quadrillion | Y | Yotta- |
| 10^27 | Octillion | Quadrilliard | Thousand quadrillion | R | Ronna- |
| 10^30 | Nonillion | Quintillion | Quintillion | Q | Quetta- |
| 10^33 | Decillion | Quintilliard | Thousand quintillion | ||
| 10^36 | Undecillion | Sextillion | Sextillion | ||
| 10^39 | Duodecillion | Sextilliard | Thousand sextillion | ||
| 10^42 | Tredecillion | Septillion | Septillion | ||
| 10^45 | Quattuordecillion | Septilliard | Thousand septillion | ||
| 10^48 | Quindecillion | Octillion | Octillion | ||
| 10^51 | Sexdecillion | Octilliard | Thousand octillion | ||
| 10^54 | Septendecillion | Nonillion | Nonillion | ||
| 10^57 | Octodecillion | Nonilliard | Thousand nonillion | ||
| 10^60 | Novemdecillion | Decillion | Decillion | ||
| 10^63 | Vigintillion | Decilliard | Thousand decillion | ||
| 10^66 | Unvigintillion | Undecillion | Unvigintillion | ||
| 10^69 | Duovigintillion | Undecilliard | Thousand undecillion | ||
| 10^72 | Trevigintillion | Duodecillion | Duodecillion | ||
| 10^75 | Quattuorvigintillion | Duodecilliard | Thousand duodecillion | ||
| 10^78 | Quinvigintillion | Tredecillion | Tredecillion | ||
| 10^81 | Sexvigintillion | Tredecilliard | Thousand tredecillion | ||
| 10^84 | Septenvigintillion | Quattuordecillion | Quattuordecillion | ||
| 10^87 | Octovigintillion | Quattuordecilliard | Thousand quattuordecillion | ||
| 10^90 | Novemvigintillion | Quindecillion | Quindecillion | ||
| 10^93 | Trigintillion | Quindecilliard | Thousand quindecillion | ||
| 10^96 | Untrigintillion | Sexdecillion | Sexdecillion | ||
| 10^99 | Duotrigintillion | Sexdecilliard | Thousand sexdecillion | ||
| 10^100 | Googol | Googol | Googol | ||
| 10^102 | Tretrigintillion | Septendecillion | Septendecillion | ||
| 10^105 | Quattuortrigintillion | Septendecilliard | Thousand septendecillion | ||
| 10^108 | Quintrigintillion | Octillion | Octillion | ||
| 10^111 | Sextrigintillion | Octodecilliard | Thousand octodecillion | ||
| 10^114 | Septentrigintillion | Novemdecillion | Novemdecillion | ||
| 10^117 | Octotrigintillion | Novemdecilliard | Thousand novemdecillion | ||
| 10^120 | Novemtrigintillion | Vigintillion | Vigintillion | ||
| 10^123 | Quadragintillion | Vigintilliard | Thousand vigintillion | ||
| 10^126 | Unquadragintillion | Unvigintillion | Unvigintillion | ||
| 10^153 | Quinquagintillion | Quinvigintilliard | |||
| 10^183 | Sexagintillion | Trigintilliard | |||
| 10^213 | Septuagintillion | Quintrigintilliard | |||
| 10^243 | Octogintillion | Quadragintilliard | |||
| 10^273 | Nonagintillion | Quinquadragintilliard | |||
| 10^303 | Centillion | Quinquagintilliard | |||
| 10^306 | Cenuntillion | Quinquagintilliard | Unquinquagintillion | ||
| 10^603 | Ducentillion | ||||
| 10^903 | Trecentillion | ||||
| 10^1203 | Quadringentillion | ||||
| 10^1503 | Quingentillion | ||||
| 10^1803 | Sescentillion | ||||
| 10^2103 | Septingentillion | ||||
| 10^2403 | Octingentillion | ||||
| 10^2703 | Nongentillion | ||||
| 10^3003 | Millinillion | ||||
| 10^10100 | Googolplex | ||||
| 10^101034 | Skewes' Number | ||||
| 10^googolplex | Googolplexplex |
other
| Number Name | Expression |
|---|---|
| Moser's Number | F^64(9) |
| Graham's Number | g_64 or approximated as F^{g_63}(3) |
| Tree(3) | F^{F^{F^{...}}}(3) |
| Rayo's Number | F^{F^{F^{...}}}(R) |
| Busy Beaver | BB(n) |
| Feigenbaum Constant | δ ≈ 4.669201609102990... |
| Chaitin's Omega | A real number, representing the halting probability of a Turing machine. |
Fast-Growing Notations:
F notation: Fn(a)Fn(a) indicates an iterated exponential function, where F1(a)=aaF1(a)=aa, F2(a)=aaaF2(a)=aaa, and so on, with each step building an exponential tower.
For example:
F2(9)=999F2(9)=999
F3(9)=9999F3(9)=9999, and so on.
[https://www.hellenicaworld.com/Science/Mathematics/en/HistoryLargenumbers.html] old hindu/buddhist
| Name | Value |
|---|---|
| lakṣá (लक्ष) | 10^5 |
| kōṭi (कोटि) | 10^7 |
| ayuta (अयुत) | 10^9 |
| niyuta (नियुत) | 10^13 |
| pakoti (पकोटि) | 10^14 |
| vivara (विवारा) | 10^15 |
| kshobhya (क्षोभ्या) | 10^17 |
| vivaha (विवाहा) | 10^19 |
| kotippakoti (कोटिपकोटी) | 10^21 |
| bahula (बहुल) | 10^23 |
| nagabala (नागाबाला) | 10^25 |
| nahuta (नाहूटा) | 10^28 |
| titlambha (तीतलम्भा) | 10^29 |
| vyavasthanapajnapati (व्यवस्थानापज्नापति) | 10^31 |
| hetuhila (हेतुहीला) | 10^33 |
| ninnahuta (निन्नाहुता) | 10^35 |
| hetvindriya (हेत्विन्द्रिय) | 10^37 |
| samaptalambha (समाप्तलम्भ) | 10^39 |
| gananagati (गनानागती) | 10^41 |
| akkhobini (अक्खोबिनि) | 10^42 |
| niravadya (निरावाद्य) | 10^43 |
| mudrabala (मुद्राबाला) | 10^45 |
| sarvabala (सर्वबाला) | 10^47 |
| bindu (बिंदु or बिन्दु) | 10^49 |
| sarvajna (सर्वज्ञ) | 10^51 |
| vibhutangama (विभुतन्गमा) | 10^53 |
| abbuda (अब्बुद) | 10^56 |
| nirabbuda (निर्बुद्ध) | 10^63 |
| ahaha (अहाहा) | 10^70 |
| ababa (अबाबा) | 10^77 |
| atata (अटाटा) | 10^84 |
| soganghika (सोगान्घीक) | 10^91 |
| uppala (उप्पल) | 10^98 |
| kumuda (कुमुद) | 10^105 |
| pundarika (पुन्डरीक) | 10^112 |
| paduma (पद्म) | 10^119 |
| kathana (कथन) | 10^126 |
| mahakathana (महाकथन) | 10^133 |
| asaṃkhyeya (असंख्येय) | 10^140 |
| dhvajagranishamani (ध्वजाग्रनिशमनी) | 10^421 |
| bodhisattva (बोधिसत्व) | 10^37218383881977644441306597687849648128 |
| lalitavistarautra (ललितातुलनातारासूत्र) | 10^200 infinities |
| matsya (मत्स्य) | 10^600 infinities |
| kurma (कूर्म) | 10^2000 infinities |
| varaha (वराह) | 10^3600 infinities |
| narasimha (नरसिम्हा) | 10^4800 infinities |
| vamana (वामन) | 10^5800 infinities |
| parashurama (परशुराम) | 10^6000 infinities |
| rama (राम) | 10^6800 infinities |
| khrishnaraja (खृष्णराज) | 10^infinities |
| kalki (कल्कि) | 10^8000 infinities |
| balarama (बलराम) | 10^9800 infinities |
| dasavatara (दशावतार) | 10^10000 infinities |
| bhagavatapurana (भागवतपुराण) | 10^18000 infinities |
| avatamsakasutra (अवतांशकासूत्र) | 10^30000 infinities |
| mahadeva (महादेव) | 10^50000 infinities |
| prajapati (प्रजापति) | 10^60000 infinities |
| jyotiba (ज्योतिबा) | 10^80000 infinities |
| parvati (पार्वती) | 10^2000000000000 infinities |
| paro (पॅरो) | 10^40000000000000000000 infinities |