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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

See also Edit

Numbers from A googol is a tiny dot

Hypermathematics: bigoogol · trigoogol · quadrigoogol · ggoogol · biggoogol · gggoogol · gwgoogol · coogol(plex)
Hyperlicious: wakoogol(plex) · wakamoogol(plex) · wonkapoogol(plex) · ultron
Numbers with a W: woogol · wiggol · waggol · weegol · wigol · woggol · wagol · bwoogol · bwiggol · bwaggol · bweegol · bwigol · bwoggol · bwagol
Primes: Gooprol · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)