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 CE)[3]. It's equal to \(10^{7 \times 2^{122}}\) or \(10^{37,218,383,881,977,644,441,306,597,687,849,648,128}\),[4][5] 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)[6] also has 不可說不可說轉[7] as the largest number but it has different value of \(10^{7\times2^{142}}=10^{39026304097428590497687506977134632635465728}\).[8]
The version which was translated by Buddhabhadra (佛馱跋陀羅, 359-429 CE)[9] which has different value of the largest number, which is \(10^{5 \times 2^{121}} = 10^{13292279957849158729038070602803445760}\),[10] was translated to English by Thomas Cleary[11], 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.[12] 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[]
- ↑ 大方広仏華厳経巻第四十五 阿僧祇品第三十
- ↑ 華厳経とは, コトバンク. (A Japanese online service collecting descriptions in peer-reviewed dictionaries)
- ↑ Śikṣānanda
- ↑ 鈴木真治. (2016) "巨大数". 岩波書店. p.25
- ↑ Fish. Avatamsaka Sutra's number: Śikṣānanda's translation. 2023-08-11.
- ↑ 般若
- ↑ 大方廣佛華嚴經卷第十 入不思議解脫境界普賢行願品
- ↑ Fish. Avatamsaka Sutra's number: Prājñā's translation. 2023-08-11.
- ↑ 大方広仏華厳経卷第二十九 心王菩薩問阿僧祇品第二十五
- ↑ Fish. Avatamsaka Sutra's number: Buddhabhadra's translation. 2023-08-10.
- ↑ Cleary, T. (1993) The flower ornament scripture: a translation of the Avatamsaka Sutra. Shambhala, Colorado, USA. (full text)
- ↑ Fish. Avatamsaka Sutra's number: Cleary's translation 2023-08-11
See also[]
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