## FANDOM

10,225 Pages

The integral-dekapetaseptemdecile is $$\frac{10^{16}-1}{17} = 588,235,294,117,647$$. The name was coined by Andre Joyce.[1]

## EtymologyEdit

"integral" floors "dekapetaseptemdecile" where "dekapeta" = $$10^{16}$$ and septemdecile = $$\frac{1}{17}$$.

## ApproximationsEdit

Notation Lower bound Upper bound
Scientific notation $$5.882\times10^{14}$$ $$5.883\times10^{14}$$
Arrow notation $$22\uparrow11$$ $$30\uparrow10$$
Steinhaus-Moser Notation 13[3] 14[3]
Copy notation 5[15] 6[15]
Taro's multivariable Ackermann function A(3,46) A(3,47)
Pound-Star Notation #*(5,1,1)*6 #*(2,1,3)*5
BEAF {22,11} {30,10}
Hyper-E notation 5E14 6E14
Bashicu matrix system (0)(0)[4924] (0)(0)[4925]
Hyperfactorial array notation 17! 18!
Fast-growing hierarchy $$f_2(43)$$ $$f_2(44)$$
Hardy hierarchy $$H_{\omega^2}(43)$$ $$H_{\omega^2}(44)$$
Slow-growing hierarchy $$g_{\omega^{\omega+3}+\omega^{\omega+2}6}(11)$$ $$g_{\omega^{\omega+1}5+\omega^\omega6}(12)$$

## Sources Edit

1. http://michaelhalm.tripod.com/mathematics_beyond_the_googol.htm