Triotriacontillion is equal to \(10^{3\times 10^{99}+3}\)[1] or \(10^{3\text{ duotrigintillion }3}\) using the short scale definition of duotrigintillion. This number is slightly smaller than a googolplex.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow99)\) | |
Down-arrow notation | \(1000\downarrow\downarrow34\) | \(675\downarrow\downarrow36\) |
Steinhaus-Moser Notation | 55[3][3] | 56[3][3] |
Copy notation | 2[2[100]] | 3[3[100]] |
H* function | H(H(32)) | |
Taro's multivariable Ackermann function | A(3,A(3,329)) | A(3,A(3,330)) |
Pound-Star Notation | #*((1))*(4,1,1,2,4)*7 | #*((1))*(4,2,4,1,1)*8 |
BEAF | {1000,1+{10,99}} | |
Hyper-E notation | E(3+3E99) | |
Bashicu matrix system | (0)(1)[18] | (0)(1)[19] |
Hyperfactorial array notation | (68!)! | (69!)! |
Fast-growing hierarchy | \(f_2(f_2(323))\) | \(f_2(f_2(324))\) |
Hardy hierarchy | \(H_{\omega^22}(323)\) | \(H_{\omega^22}(324)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega9+9}3+3}}(10)\) |