## FANDOM

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Egol is equal to $$\lfloor 10^{99}e \rfloor$$, or the first 100 digits of e without the decimal point.[1] Its full decimal expansion is:

2,718,281,828,459,045,235,360,287,471,352,662,497,757,247,093,699,959,574,966,967,627,724,076,630,353,547,594,571,382,178,525,166,427

Its prime factorization is 29 × 61 × 19,593,819,737 × 3,342,441,565,210,469 × 13,932,047,451,386,272,306,472,790,809 × 1,684,103,476,737,232,696,586,957,297,712,240,202,601,879.

## Approximations

Notation Lower bound Upper bound
Scientific notation $$2.718\times10^{99}$$ $$2.719\times10^{99}$$
Arrow notation $$162\uparrow45$$ $$107\uparrow49$$
Steinhaus-Moser Notation 56[3] 57[3]
Copy notation 2[100] 3[100]
Taro's multivariable Ackermann function A(3,327) A(3,328)
Pound-Star Notation #*(6,10,7,9,7,5,1)*9 #*(10,9,13,8,1,1)*12
BEAF {162,45} {107,49}
Hyper-E notation 2E99 3E99
Bashicu matrix system (0)(0)(0)(0)(0)[1280] (0)(0)(0)(0)(0)[1281]
Bird's array notation {162,45} {107,49}
Hyperfactorial array notation 69! 70!
Strong array notation s(162,45) s(107,49)
Fast-growing hierarchy $$f_2(321)$$ $$f_2(322)$$
Hardy hierarchy $$H_{\omega^2}(321)$$ $$H_{\omega^2}(322)$$
Slow-growing hierarchy $$g_{\omega^{53}44}(70)$$ $$g_{\omega^{50}6}(94)$$

## Sources

1. A googol is a tiny dot