Lexexfa is in Joyce's factorial series formed with a verbalized -x- and the -fa suffix, \(70! = g(1, g(69, 0, -1, 70), 70)\) in the Ackermann's Generalized Exponential Notation.[1] It is the smallest factorial number larger than googol, it can be a good upper bound for a googol. It has 101 digits and its decimal representation is:

11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000

Approximations

Notation Lower bound Upper bound
Scientific notation \(1.197\times10^{100}\) \(1.198\times10^{100}\)
Arrow notation \(66\uparrow55\) \(57\uparrow\uparrow2\)
Steinhaus-Moser Notation 56[3] 57[3]
Copy notation 1[101] 2[101]
Chained arrow notation \(66→55\) \(57→2→2\)
Taro's multivariable Ackermann function A(3,329) A(3,330)
Pound-Star Notation #*(13,5,8,2,3,7,1)*9 #*(2,7,12,1,2,4)*11
BEAF {66,55} {57,2,2}
Hyper-E notation E2#2 2E2#2
Bashicu matrix system (0)(0)(0)(0)(0)[1341] (0)(0)(0)(0)(0)[1342]
Bird's array notation {66,55} {57,2,2}
Hyperfactorial array notation 70!
Strong array notation s(66,55) s(57,2,2)
Fast-growing hierarchy \(f_2(324)\) \(f_2(325)\)
Hardy hierarchy \(H_{\omega^2}(324)\) \(H_{\omega^2}(325)\)
Slow-growing hierarchy \(g_{\omega^{53}21}(73)\) \(g_{\omega^{52}49}(78)\)

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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