- Not to be confused with Trillion.
Tryllion is equal to \(10^{32}\) in the -yllion system by Donald Knuth[1][2][3], or 10 squared 5 times. It is equal to 100 nonillion in the short scale and 100 quintillion in the long scale.
In the Knuth-Pelletier -yllion system, 1032 is called a byllion, while tryllion is equal to 10128 which is equal to quintyllion in the normal -yllion system.
It is also called Gou (溝，沟 in Chinese) or Kou (溝 in Japanese) in Japanese counting system and Chinese counting system.[4]
CompactStar gave the name octyriad for this number as part of the -yriad system, referring to it being myriad8.[5]
Decimal expansion[]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{32}\) | |
| Arrow notation | \(10\uparrow32\) or \(10000\uparrow8\) | |
| Steinhaus-Moser Notation | 23[3] | 24[3] |
| Copy notation | 9[32] | 1[33] |
| Taro's multivariable Ackermann function | A(3,103) | A(3,104) |
| Pound-Star Notation | #*(7,1,2,3,1)*5 | #*(8,3,3,2)*7 |
| BEAF | {10,32} | |
| Hyper-E notation | E32 or E[10000]8 | |
| Bashicu matrix system | (0)(0)(0)[10000] | |
| Hyperfactorial array notation | 29! | 30! |
| Fast-growing hierarchy | \(f_2(99)\) | \(f_2(100)\) |
| Hardy hierarchy | \(H_{\omega^2}(99)\) | \(H_{\omega^2}(100)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega3+2}}(10)\) | |
Sources[]
- ↑ Donald E. Knuth, Supernatural numbers. Appears as pp. 310-325 in The Mathematical Gardner, ed. David A. Klarner (1981). ISBN 1468466887
- ↑ Myriad system on Wikipedia
- ↑ Large numbers By Robert Munafo
- ↑ 大数の名前
- ↑ -yriad numbers. Retrieved Apr 21, 2023
See also[]
-Yllion System Numbers myllion · byllion · tryllion · quadryllion · quintyllion · sextyllion · septyllion · octyllion · nonyllion · decyllion · undecyllion · duodecyllion · tredecyllion · quattuordecyllion · quindecyllion · sexdecyllion · septendecyllion · octodecyllion · novemdecyllion · vigintyllion · unvigintyllion · duovigintyllion · trevigintyllion · trigintyllion · quadragintyllion · quinquagintyllion · sexagintyllion · septuagintyllion · octogintyllion · nonagintyllion · centyllion · myryllion · latinmyllionyllion · latinbyllionyllion · yoctyllion · Googolyllion · latinlatinlatinbyllionyllionyllionyllion
Indian counting system: Lakh · Crore · Padma · Tallakshana · Ogha · Ababa · Atata · Sogandhika · Uppala · Dvajagravati · Kumuda · Pundarika · Paduma · Kathana · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta · Jaghanya Parīta Asaṃkhyāta
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
See also: Template:Googology in Japan