Octogintacentillion

An octogintacentillion is equal to \(10^{543}\) in the short scale and \(10^{1080}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 180th -illion number.
In the long scale, \(10^{543}\) is called nonagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{543}\) (exact) 	\(1\times10^{543}\) (exact)
Arrow notation 	\(10\uparrow 543\) (exact) 	\(10\uparrow 543\) (exact)
Steinhaus-Moser Notation 	229[3] 	230[3]
Chained arrow notation 	\(10\rightarrow 543\) (exact) 	\(10\rightarrow 543\) (exact)
Taro's multivariable Ackermann function	A(3,1800) 	A(3,1801)
BEAF & Bird's array notation 	{10,543} (exact) 	{10,543} (exact)
Hyper-E notation 	E543 (exact) 	E543 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(229) 	m(1)(230)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[11] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[12]
Copy notation 	9[423] 	10[212]
H* function 	H(180) 	H(180)
Hyperfactorial array notation 	270! 	271!
Fast-growing hierarchy 	\(f_2(1792)\) 	\(f_2(1793)\)
Hardy hierarchy 	\(H_{\omega^2}(1792)\) 	\(H_{\omega^2}(1793)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 4+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 4+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1080}\) (exact) 	\(1\times10^{1080}\) (exact)
Arrow notation 	\(10\uparrow 1080\) (exact) 	\(10\uparrow 1080\) (exact)
Steinhaus-Moser Notation 	412[3] 	413[3]
Chained arrow notation 	\(10\rightarrow 1080\) (exact) 	\(10\rightarrow 1080\) (exact)
Taro's multivariable Ackermann function	A(3,3584) 	A(3,3585)
BEAF & Bird's array notation 	{10,1080} (exact) 	{10,1080} (exact)
Hyper-E notation 	E1080 (exact) 	E1080 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(412) 	m(1)(413)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3575)\) 	\(f_2(3576)\)
Hardy hierarchy 	\(H_{\omega^2}(3575)\) 	\(H_{\omega^2}(3576)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent