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A great googolplex is equal to \(10^{10^{100}+1}\), and therefore the largest googolism which is a power of 10 with an exponent coprime to 6.[1] In relative terms, this number is equivalent to a googolplex multiplied by ten.

Approximations

Notation Lower bound Upper bound
Arrow notation \(10\uparrow(1+10\uparrow100)\)
Down-arrow notation \(10\downarrow\downarrow101\) \(269\downarrow\downarrow42\)
Steinhaus-Moser Notation 56[3][3] 57[3][3]
Copy notation 9[9[100]] 1[1[101]]
H* function H(3H(32)) H(4H(32))
Taro's multivariable Ackermann function A(3,A(3,330)) A(3,A(3,331))
Pound-Star Notation #*((1))*(0,6,8,1,1)*8 #*((1))*(0,6,6,3,4)*7
BEAF {10,1+{10,100}}
Hyper-E notation E(1+E100)
Bashicu matrix system (0)(1)[329] (0)(1)[330]
Hyperfactorial array notation (68!)! (69!)!
Fast-growing hierarchy \(f_2(f_2(325))\) \(f_2(f_2(326))\)
Hardy hierarchy \(H_{\omega^22}(325)\) \(H_{\omega^22}(326)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^2}+1}}(10)\)

Sources

  1. Googology

See also