Asougi in Japanese characters.

Asougi (阿僧祇 in Japanese, Sanskrit for "uncountably large number") is \(10^{56}\)[1] in Japanese counting system. The word is in Buddhism's sutra, and it was adopted in Chinese counting system and in Japanese counting system. It is read as Asankhyeya in Sanskrit or Chinese, and it is read as Asougi in Japanese. It means different numbers in different Buddism's sutra, and it means different numbers in different Chinese counting system[2]. In Japan, there was different meaning of numbers for Asougi, but now it is unified and it means \(10^{56}\).

In English, it is one hundred septendecillion in short scale or one hundred nonillion in long scale.

Approximations in other notations Edit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{56}\)
Arrow notation \(10\uparrow56\)
Steinhaus-Moser Notation 35[3] 36[3]
Copy notation 9[56] 1[57]
Taro's multivariable Ackermann function A(3,183) A(3,184)
Pound-Star Notation #*(7,4,5,4,1,3)*6 #*(1,1,9,4)*11
BEAF {10,56}
Strong array notation s(10,56)
Hyper-E notation E56
Hyperfactorial array notation 44! 45!
Fast-growing hierarchy \(f_2(178)\) \(f_2(179)\)
Hardy hierarchy \(H_{\omega^2}(178)\) \(H_{\omega^2}(179)\)
Slow-growing hierarchy \(g_{\omega^{\omega5+6}}(10)\)

Sources Edit

  1. 大数の名前
  2. 無量大数の彼方へ

See also Edit

Googology in Asia

Fish numbers: Fish number 1 · Fish number 2 · Fish number 3 · Fish number 4 · Fish number 5 · Fish number 6 · Fish number 7
Mapping functions: S map · SS map · S(n) map · M(n) map · M(m,n) map
By Aeton: Okojo numbers · N-growing hierarchy
By BashicuHyudora: Pair sequence number · Bashicu matrix system
Indian counting system: Lakh · Crore · Uppala · Bodhisattva
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
Buddhist text: Tallakshana · Dvajagravati · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra
Other: Taro's multivariable Ackermann function · Sushi Kokuuhen