Octoseptuagintaquadringentillion

An octoseptuagintaquadringentillion is equal to \(10^{1437}\) in the short scale and \(10^{2868}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 478th -illion number.
In the long scale, \(10^{1437}\) is called noventrigintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1437}\) (exact) 	\(1\times10^{1437}\) (exact)
Arrow notation 	\(10\uparrow 1437\) (exact) 	\(10\uparrow 1437\) (exact)
Steinhaus-Moser Notation 	527[3] 	528[3]
Chained arrow notation 	\(10\rightarrow 1437\) (exact) 	\(10\rightarrow 1437\) (exact)
Taro's multivariable Ackermann function	A(3,4770) 	A(3,4771)
BEAF & Bird's array notation 	{10,1437} (exact) 	{10,1437} (exact)
Hyper-E notation 	E1437 (exact) 	E1437 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(527) 	m(1)(528)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4761)\) 	\(f_2(4762)\)
Hardy hierarchy 	\(H_{\omega^2}(4761)\) 	\(H_{\omega^2}(4762)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 4+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 4+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2868}\) (exact) 	\(1\times10^{2868}\) (exact)
Arrow notation 	\(10\uparrow 2868\) (exact) 	\(10\uparrow 2868\) (exact)
Steinhaus-Moser Notation 	961[3] 	962[3]
Chained arrow notation 	\(10\rightarrow 2868\) (exact) 	\(10\rightarrow 2868\) (exact)
Taro's multivariable Ackermann function	A(3,9524) 	A(3,9525)
BEAF & Bird's array notation 	{10,2868} (exact) 	{10,2868} (exact)
Hyper-E notation 	E2868 (exact) 	E2868 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(961) 	m(1)(962)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9514)\) 	\(f_2(9515)\)
Hardy hierarchy 	\(H_{\omega^2}(9514)\) 	\(H_{\omega^2}(9515)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 8+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 8+\omega 6+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers