The integral-megaseptile is defined as \(\frac{10^6-1}{7} = 142,857\). The name was coined by Andre Joyce.[1]

In the German language, 142,857 ⅐ is sometimes called "Siebtelmillion".[2]


"integral" is used to floor "megaseptile", where "mega" = 1,000,000 and "septile" = 1/7.

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(1.42857\times10^5\)
Arrow notation \(52\uparrow3\) \(53\uparrow3\)
Steinhaus-Moser Notation 6[3] 7[3]
Copy notation 1[6] 2[6]
Taro's multivariable Ackermann function A(3,14) A(3,15)
Pound-Star Notation #*(36)*3 #*(37)*3
BEAF {52,3} {53,3}
Hyper-E notation E5 E[53]3
Bashicu matrix system (0)[377] (0)[378]
Hyperfactorial array notation 8! 4!1
Fast-growing hierarchy \(f_2(13)\) \(f_2(14)\)
Hardy hierarchy \(H_{\omega^2}(13)\) \(H_{\omega^2}(14)\)
Slow-growing hierarchy \(g_{\omega^4\times5+\omega\times4}(13)\)


  1. Mathematics beyond the googol by Andre Joyce
  2. Deutsches Medizin Forum - Foren