- Not to be confused with tetrahectillion.
Tetrehectillion is equal to \(10^{3\cdot10^{312} + 3}\).[1][2] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(1000\uparrow(1+10\uparrow312)\) | |
| Down-arrow notation | \(1000\downarrow\downarrow105\) | \(546\downarrow\downarrow115\) |
| Steinhaus-Moser Notation | 143[3][3] | 144[3][3] |
| Copy notation | 2[2[313]] | 3[3[313]] |
| H* function | H(H(103)) | |
| Taro's multivariable Ackermann function | A(3,A(3,1036)) | A(3,A(3,1037)) |
| Pound-Star Notation | #*((1))*((1))*9 | #*((1))*((2))*9 |
| BEAF | {1000,1+{10,312}} | |
| Hyper-E notation | E(3+3E312) | |
| Bashicu matrix system | (0)(1)[32] | (0)(1)[33] |
| Hyperfactorial array notation | (171!)! | (172!)! |
| Fast-growing hierarchy | \(f_2(f_2(1029))\) | \(f_2(f_2(1030))\) |
| Hardy hierarchy | \(H_{\omega^22}(1029)\) | \(H_{\omega^22}(1030)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^23+\omega+2}3+3}}(10)\) | |