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

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}
Hyper-E notation E56
Bashicu matrix system (0)(0)(0)(0)[3162] (0)(0)(0)(0)[3163]
Hyperfactorial array notation 44! 45!
Strong array notation s(10,56)
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

See also

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: Primitive sequence number · Pair sequence number · Bashicu matrix system
By Kanrokoti: KumaKuma ψ function
By 巨大数大好きbot: Flan numbers
By Jason: Irrational arrow notation · δOCF · δφ · ε function
By mrna: 段階配列表記 · 降下段階配列表記 · 多変数段階配列表記 · SSAN · S-σ
By Nayuta Ito: N primitive
By p進大好きbot: Large Number Garden Number
By Yukito: Hyper primitive sequence system · Y sequence · YY sequence · Y function
Indian counting system: Lakh · Crore · Tallakshana · Uppala · Dvajagravati · Paduma · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
Other: Taro's multivariable Ackermann function · TR function · Arai's \(\psi\) · Sushi Kokuu Hen

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