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The googoliji, coined with the googo- prefix, is a number in the googol series, what Andre Joyce pecularly chose to call  from the Mayan for "three". Others prefer to just make the Roman numeral suffix more easily pronouncable by extending the middle I into a J. The number is equal to $$106^{53}$$ = g(2, 53, 106) in the Ackermann's Generalized Exponential Notation.[1]. It has 108 digits and its decimal representation is:
219386984639832071248205556128061666302954722966170410715869575238347347647223630250623257167041819119190016

## Approximations Edit

Notation Lower bound Upper bound
Scientific notation $$2.193\times10^{107}$$ $$2.194\times10^{107}$$
Arrow notation $$106\uparrow53$$
Steinhaus-Moser Notation 60[3] 61[3]
Copy notation 1[108] 2[108]
Taro's multivariable Ackermann function A(3,353) A(3,354)
Pound-Star Notation #*(7,9,5,8,7,4,5)*9 #*(8,9,5,8,7,4,5)*9
BEAF {106,53}
Hyper-E notation E[106]53
Hyperfactorial array notation 73! 74!
Fast-growing hierarchy $$f_2(348)$$ $$f_2(349)$$
Hardy hierarchy $$H_{\omega^2}(348)$$ $$H_{\omega^2}(349)$$
Slow-growing hierarchy $$g_{\omega^{53}}(106)$$

## Sources Edit

1. Mathematics Beyond the Googol