Mehectillion is equal to \(10^{3\times 10^{303} + 3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system. It is the centillionth -illion.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(1000\uparrow(1+10\uparrow303)\) | |
| Down-arrow notation | \(1000\downarrow\downarrow102\) | \(305\downarrow\downarrow123\) |
| Steinhaus-Moser Notation | 140[3][3] | 141[3][3] |
| Copy notation | 2[2[304]] | 3[3[304]] |
| H* function | H(H(100)) | |
| Taro's multivariable Ackermann function | A(3,A(3,1006)) | A(3,A(3,1007)) |
| Pound-Star Notation | #*((1))*((1))*9 | #*((1))*((2))*9 |
| BEAF | {1000,1+{10,303}} | |
| Hyper-E notation | E(3+3E303) | |
| Bashicu matrix system | (0)(1)[31] | (0)(1)[32] |
| Hyperfactorial array notation | (167!)! | (168!)! |
| Fast-growing hierarchy | \(f_2(f_2(999))\) | \(f_2(f_2(1000))\) |
| Hardy hierarchy | \(H_{\omega^22}(999)\) | \(H_{\omega^22}(1000)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^23+3}3+3}}(10)\) | |