The mahakathana is equal to \(10^{133}\), or 1 followed by 133 zeroes.[1] It is also equal to 10 tresquadragintillion in short scale, or 10 duovigintillion in long scale. It is 134 digits long.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{133}\) | |
| Arrow notation | \(10\uparrow133\) | |
| Steinhaus-Moser Notation | 71[3] | 72[3] |
| Copy notation | 9[133] | 10[67] |
| Taro's multivariable Ackermann function | A(3,438) | A(3,439) |
| Pound-Star Notation | #*(3,8,10,0,2,9,2,5)*9 | #*(0,7,12,0,1,4,2)*12 |
| BEAF & Bird's array notation | {10,133} | |
| Hyper-E notation | E133 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[14330] | (0)(0)(0)(0)(0)[14331] |
| Hyperfactorial array notation | 87! | 88! |
| Fast-growing hierarchy | \(f_2(433)\) | \(f_2(434)\) |
| Hardy hierarchy | \(H_{\omega^2}(433)\) | \(H_{\omega^2}(434)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega3+3}}(10)\) | |
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