Unoctogintacentillion

An unoctogintacentillion is equal to \(10^{546}\) in the short scale and \(10^{1086}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 181st -illion number.
In the long scale, \(10^{546}\) is called unnonagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{546}\) (exact) 	\(1\times10^{546}\) (exact)
Arrow notation 	\(10\uparrow 546\) (exact) 	\(10\uparrow 546\) (exact)
Steinhaus-Moser Notation 	231[3] 	232[3]
Chained arrow notation 	\(10\rightarrow 546\) (exact) 	\(10\rightarrow 546\) (exact)
Taro's multivariable Ackermann function	A(3,1810) 	A(3,1811)
BEAF & Bird's array notation 	{10,546} (exact) 	{10,546} (exact)
Hyper-E notation 	E546 (exact) 	E546 (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)(231) 	m(1)(232)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[11] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[12]
Fast-growing hierarchy 	\(f_2(1802)\) 	\(f_2(1803)\)
Hardy hierarchy 	\(H_{\omega^2}(1802)\) 	\(H_{\omega^2}(1803)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 4+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1086}\) (exact) 	\(1\times10^{1086}\) (exact)
Arrow notation 	\(10\uparrow 1086\) (exact) 	\(10\uparrow 1086\) (exact)
Steinhaus-Moser Notation 	414[3] 	415[3]
Chained arrow notation 	\(10\rightarrow 1086\) (exact) 	\(10\rightarrow 1086\) (exact)
Taro's multivariable Ackermann function	A(3,3604) 	A(3,3605)
BEAF & Bird's array notation 	{10,1086} (exact) 	{10,1086} (exact)
Hyper-E notation 	E1086 (exact) 	E1086 (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)(414) 	m(1)(415)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3595)\) 	\(f_2(3596)\)
Hardy hierarchy 	\(H_{\omega^2}(3595)\) 	\(H_{\omega^2}(3596)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 8+6}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers