## FANDOM

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

1,618,033,988,749,894,848,204,586,834,365,638,117,720,309,179,805,762,862,135,448,622,705,260,462,818,902,449,707,207,204,189,391,137

Its prime factorization is 3 × 8,342,699,992,611,683 × 200,346,780,527,216,943,982,143,179,768,801,147 × 322,683,969,787,780,736,862,368,046,487,637,814,725,351,618,779.

## Approximations Edit

Notation Lower bound Upper bound
Scientific notation $$1.618\times10^{99}$$ $$1.619\times10^{99}$$
Arrow notation $$55\uparrow57$$ $$180\uparrow44$$
Steinhaus-Moser Notation 56[3] 57[3]
Copy notation 1[100] 2[100]
Taro's multivariable Ackermann function A(3,326) A(3,327)
Pound-Star Notation #*(1,3,4,9,2,5,1)*9 #*(11,7,10,8,7,3)*11
BEAF {55,57} {180,44}
Hyper-E notation E99 2E99
Bashicu matrix system (0)(0)(0)(0)(0)[1259] (0)(0)(0)(0)(0)[1260]
Bird's array notation {55,57} {180,44}
Hyperfactorial array notation 69! 70!
Strong array notation s(55,57) s(180,44)
Fast-growing hierarchy $$f_2(321)$$ $$f_2(322)$$
Hardy hierarchy $$H_{\omega^2}(321)$$ $$H_{\omega^2}(322)$$
Slow-growing hierarchy $$g_{\omega^{\omega2+4}6}(31)$$ $$g_{\omega^{\omega+16}4}(44)$$

## Sources Edit

1. A googol is a tiny dot