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 comparable to 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 \(g_{\omega^{\omega^{\omega9+9}3+3}}(10)\)

Sources

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