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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 has 101 digits and its decimal representation is:

11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000

### Approximations Edit

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 Edit

1. Mathematics Beyond the Googol