Octogintaoctingentillion

An octogintaoctingentillion is equal to \(10^{2643}\) in the short scale and \(10^{5280}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 880th -illion number.
In the long scale, \(10^{2643}\) is called quadragintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2643}\) (exact) 	\(1\times10^{2643}\) (exact)
Arrow notation 	\(10\uparrow 2643\) (exact) 	\(10\uparrow 2643\) (exact)
Steinhaus-Moser Notation 	895[3] 	896[3]
Chained arrow notation 	\(10\rightarrow 2643\) (exact) 	\(10\rightarrow 2643\) (exact)
Taro's multivariable Ackermann function	A(3,8776) 	A(3,8777)
BEAF & Bird's array notation 	{10,2643} (exact) 	{10,2643} (exact)
Hyper-E notation 	E2643 (exact) 	E2643 (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)(895) 	m(1)(896)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8766)\) 	\(f_2(8767)\)
Hardy hierarchy 	\(H_{\omega^2}(8766)\) 	\(H_{\omega^2}(8767)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5280}\) (exact) 	\(1\times10^{5280}\) (exact)
Arrow notation 	\(10\uparrow 5280\) (exact) 	\(10\uparrow 5280\) (exact)
Steinhaus-Moser Notation 	1642[3] 	1643[3]
Chained arrow notation 	\(10\rightarrow 5280\) (exact) 	\(10\rightarrow 5280\) (exact)
Taro's multivariable Ackermann function	A(3,17536) 	A(3,17537)
BEAF & Bird's array notation 	{10,5280} (exact) 	{10,5280} (exact)
Hyper-E notation 	E5280 (exact) 	E5280 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1642) 	m(1)(1643)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17525)\) 	\(f_2(17526)\)
Hardy hierarchy 	\(H_{\omega^2}(17525)\) 	\(H_{\omega^2}(17526)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 8}}(10)\) (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