Japanese characters for gougasha. (Note that Chinese has several graphical differenecs.)
A gougasha (Hepburn: gōgasha) or henghesha (恒河沙 'sands of the Ganges') is \(10^{52}\) . The number was used in Buddhist sutras, and it was adopted in the traditional Japanese and Chinese numbering systems. [1][2]
In English, it is ten sexdecillion in short scale or ten octilliard in long scale.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{52}\) | |
| Arrow notation | \(10\uparrow52\) | |
| Steinhaus-Moser Notation | 33[3] | 34[3] |
| Copy notation | 9[52] | 1[53] |
| Taro's multivariable Ackermann function | A(3,169) | A(3,170) |
| Pound-Star Notation | #*(4,7,4,3,2,1)*6 | #*(5,7,4,3,2,1)*6 |
| BEAF | {10,52} | |
| Hyper-E notation | E52 | |
| Bashicu matrix system | (0)(0)(0)(0)[1778] | (0)(0)(0)(0)[1779] |
| Hyperfactorial array notation | 42! | 43! |
| Fast-growing hierarchy | \(f_2(165)\) | \(f_2(166)\) |
| Hardy hierarchy | \(H_{\omega^2}(165)\) | \(H_{\omega^2}(166)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega5+2}}(10)\) | |
Sources[]
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