## FANDOM

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Googolex is a number in the googol family with the addition of the -ex suffix, a verbalized X, to raise the -L (50) to -LX (60). The number is also called googolx. It is equal to $$120^{60}$$, or $$g(2,60,120)$$ in the Ackermann's Generalized Exponential Notation.[1] It is 125 digits long. Its decimal expression is

56347514353166785389812313795980500551139163800306781874894667776000000000000000000000000000000000000000000000000000000000000

## Approximations

Notation Lower bound Upper bound
Scientific notation $$5.634\times10^{124}$$ $$5.635\times10^{124}$$
Arrow notation $$120\uparrow60$$
Steinhaus-Moser Notation 68[3] 69[3]
Copy notation 5[125] 6[125]
Taro's multivariable Ackermann function A(3,411) A(3,412)
Pound-Star Notation #*(4,9,2,7,5,0,0,10)*8 #*(5,9,2,7,5,0,0,10)*8
BEAF {120,60}
Hyper-E notation E[120]60
Bashicu matrix system (0)(0)(0)(0)(0)[7915] (0)(0)(0)(0)(0)[7916]
Hyperfactorial array notation 83! 84!
Fast-growing hierarchy $$f_2(405)$$ $$f_2(406)$$
Hardy hierarchy $$H_{\omega^2}(405)$$ $$H_{\omega^2}(406)$$
Slow-growing hierarchy $$g_{\omega^{60}}(120)$$

## Sources

1. Mathematics Beyond the Googol