FANDOM


The ggoogol is equal to 100\(\cdot\)googol using hypermathematics.[1] . In normal mathematics, it is exactly \(\sum^{99}_{i=0}10^{100+101i}=10^{100}\left(\frac{10^{10,100}-1}{10^{101}-1}\right)\). It is therefore somewhat bigger than \(10^{10,099}\) using normal mathematics.

Approximations

Notation Lower bound Upper bound
Scientific notation \(1\times10^{10099}\) \(1.001\times10^{10099}\)
Arrow notation \(10\uparrow10099\) \(624\uparrow3613\)
Steinhaus-Moser Notation 2914[3] 2915[3]
Copy notation 9[10099] 10[5050]
Taro's multivariable Ackermann function A(3,33545) A(3,33546)
Pound-Star Notation #*((169))*52 #*((170))*52
BEAF {10,10099} {624,3613}
Hyper-E notation E10099 2E10099
Bashicu matrix system (0)(1)[12] (0)(1)[13]
Hyperfactorial array notation 3276! 3277!
Fast-growing hierarchy \(f_2(33533)\) \(f_2(33534)\)
Hardy hierarchy \(H_{\omega^2}(33533)\) \(H_{\omega^2}(33534)\)
Slow-growing hierarchy \(g_{\omega^{\omega^4+\omega9+9}}(10)\) \(g_{\omega^{\omega^2+\omega37+38}40}(59)\)

Sources

  1. A googol is a tiny dot

See also

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)