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). 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

See also

Numbers by André Joyce

Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · twelvety-twelves
Googo- series: googoli · googoliji · googoliv · googolv · googolvi · googolvij · googolix · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoolxiv · googoolxix · googoocxexviji · googood · googoodij · googoodiv · googoodvi · googoodvij · googoodix · googoodxi
Googoople- series: googovplev · googovplevi · googovplevij · googovplexi · googovplexij · googovplexiv · googovplexvi · googovplexvij · googovplexix · googovplexxi · googovplexxij
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googodul series: googogoogol
Googolplux series: googolplux · googolpluc · googolplum
Googool-n-plex series: googolundeciplex
Factorial series: lexexfa · lexxifa · lexxijfa · lexxijifa · lexxivfa · lexexvy · lexexvi · lexexvij · lexexviji · lexxixfa · lexxexfa · lexxexifa · lexxexijfa · lexxexijifa · lexxexivfa · lexxexvyfa · lexxexvifa · lexxexvijfa

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