Trenonagintacentillion

A trenonagintacentillion is equal to \(10^{582}\) in the short scale and \(10^{1158}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 193rd -illion number.
In the long scale, \(10^{582}\) is called septenonagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{582}\) (exact) 	\(1\times10^{582}\) (exact)
Arrow notation 	\(10\uparrow 582\) (exact) 	\(10\uparrow 582\) (exact)
Steinhaus-Moser Notation 	243[3] 	244[3]
Chained arrow notation 	\(10\rightarrow 582\) (exact) 	\(10\rightarrow 582\) (exact)
Taro's multivariable Ackermann function	A(3,1930) 	A(3,1931)
BEAF & Bird's array notation 	{10,582} (exact) 	{10,582} (exact)
Hyper-E notation 	E582 (exact) 	E582 (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)(243) 	m(1)(244)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[13] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[14]
Fast-growing hierarchy 	\(f_2(1922)\) 	\(f_2(1923)\)
Hardy hierarchy 	\(H_{\omega^2}(1922)\) 	\(H_{\omega^2}(1923)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 8+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 8+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1158}\) (exact) 	\(1\times10^{1158}\) (exact)
Arrow notation 	\(10\uparrow 1158\) (exact) 	\(10\uparrow 1158\) (exact)
Steinhaus-Moser Notation 	438[3] 	439[3]
Chained arrow notation 	\(10\rightarrow 1158\) (exact) 	\(10\rightarrow 1158\) (exact)
Taro's multivariable Ackermann function	A(3,3843) 	A(3,3844)
BEAF & Bird's array notation 	{10,1158} (exact) 	{10,1158} (exact)
Hyper-E notation 	E1158 (exact) 	E1158 (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)(438) 	m(1)(439)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3834)\) 	\(f_2(3835)\)
Hardy hierarchy 	\(H_{\omega^2}(3834)\) 	\(H_{\omega^2}(3835)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2+\omega 5+8}}(10)\) (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