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The integral-exaundevigintile is equal to \(\frac{10^{18}-1}{19}\) = 52,631,578,947,368,421. It was coined by Andre Joyce.[1][2]

Note that Joyce made a computation error and computed this number as 52,631,578,947,368,424. Hypercalc also returns this value.

["Well, excooose me. The typo made many years ago, when computers were still Human, has long since been corrected." -- André Joyce]

EtymologyEdit

"integral" floors "exaundevigintile" where "exa" is \(10^{18}\) and "undevigintile" = \(\frac{1}{19}\).

ApproximationsEdit

Notation Lower bound Upper bound
Scientific notation \(5.263\times10^{16}\) \(5.264\times10^{16}\)
Arrow notation \(47\uparrow10\) \(73\uparrow9\)
Steinhaus-Moser Notation 14[3] 15[3]
Copy notation 4[17] 5[17]
Taro's multivariable Ackermann function A(3,52) A(3,53)
Pound-Star Notation #*(5)*22 #*(4,1,2)*6
BEAF {47,10} {73,9}
Bashicu matrix system (0)(0)[15146] (0)(0)[15147]
Hyperfactorial array notation 18! 19!
Fast-growing hierarchy \(f_2(49)\) \(f_2(50)\)
Hardy hierarchy \(H_{\omega^2}(49)\) \(H_{\omega^2}(50)\)
Slow-growing hierarchy \(g_{\omega^{14}+\omega^{13}12}(15)\) \(g_{\omega^{\omega+3}3+\omega^{\omega+2}5}(12)\)

Sources Edit

  1. http://michaelhalm.tripod.com/mathematics_beyond_the_googol.htm
  2. https://sites.google.com/site/largenumbers/home/appendix/a/numbers