Nirabhilapya nirabhilapya parivarta (Bukeshuo bukeshuo zhuan 不可說不可說轉)[1] which appeared as Bodhisattva's math in Avatamsaka Sutra[2] is a large number in Bodhisattva's sutra which was translated by Śikṣānanda (實叉難陀, 652–710)[3]. It's equal to \(10^{7 \times 2^{122}}\) or \(10^{37,218,383,881,977,644,441,306,597,687,849,648,128}\), where complete list of calculated numbers are available in the Chinese version of this page.

Other versions

As described in Avatamsaka Sutra, Avatamsaka Sutra has other versions of translations to Chinese. The version translated by Prajñā (般若)[4] also has 不可說不可說轉[5] as the largest number but it has different value of \(10^{7\times2^{142}}=10^{39026304097428590497687506977134632635465728}\).

The version which was translated by Buddhabhadra (佛馱跋陀羅, 359-429)[6] which has different value of the largest number, which is \(10^{5 \times 2^{121}} = 10^{13292279957849158729038070602803445760}\) , was translated to English by Thomas Cleary[7], which has a different value of the highest value "untold" which is supposed to have the value of \(10^{5 \times 2^{123}}\), where "square untold" \(10^{5 \times 2^{124}}\) is also mentioned. Chinese name of this number is also different (不可說轉轉). This number is larger than centyllion, but smaller than gogolplex.

Approximation in other notations

Notation Lower bound Upper bound
Arrow notation \((10\uparrow7)\uparrow4\uparrow61\)
Down-arrow notation \(716\downarrow\downarrow14\) \(301\downarrow\downarrow16\)
Steinhaus-Moser Notation 25[3][3] 26[3][3]
Copy notation 3[3[38]] 4[4[38]]
H* function H(12H(11)) H(13H(11))
Taro's multivariable Ackermann function A(3,A(3,123)) A(3,A(3,124))
Pound-Star Notation #*((1))*(3,1)*13 #*((1))*(1,2,1,2)*4
BEAF {{10,7},{4,61}}
Hyper-E notation E(7E[4]61)
Bashicu matrix system (0)(1)[11] (0)(1)[12]
Hyperfactorial array notation (32!)! (33!)!
Fast-growing hierarchy \(f_2(f_2(119))\) \(f_2(f_2(120))\)
Hardy hierarchy \(H_{\omega^22}(119)\) \(H_{\omega^22}(120)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega3+7}3}}(10)\) \(g_{\omega^{\omega^{\omega3+7}4}}(10)\)

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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