Untrigintacentillion

An untrigintacentillion is equal to \(10^{396}\) in the short scale and \(10^{786}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 131st -illion number.
In the long scale, \(10^{396}\) is called sesexagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{396}\) (exact) 	\(1\times10^{396}\) (exact)
Arrow notation 	\(10\uparrow 396\) (exact) 	\(10\uparrow 396\) (exact)
Steinhaus-Moser Notation 	176[3] 	177[3]
Chained arrow notation 	\(10\rightarrow 396\) (exact) 	\(10\rightarrow 396\) (exact)
Taro's multivariable Ackermann function	A(3,1312) 	A(3,1313)
BEAF & Bird's array notation 	{10,396} (exact) 	{10,396} (exact)
Hyper-E notation 	E396 (exact) 	E396 (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)(176) 	m(1)(177)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[35] 	(0)(0)(0)(0)(0)(0)(0)(0)[36]
Fast-growing hierarchy 	\(f_2(1305)\) 	\(f_2(1306)\)
Hardy hierarchy 	\(H_{\omega^2}(1305)\) 	\(H_{\omega^2}(1306)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 3+\omega 9+6}}(10)\) (exact)	\(g_{\omega^{\omega^2 3+\omega 9+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{786}\) (exact) 	\(1\times10^{786}\) (exact)
Arrow notation 	\(10\uparrow 786\) (exact) 	\(10\uparrow 786\) (exact)
Steinhaus-Moser Notation 	314[3] 	315[3]
Chained arrow notation 	\(10\rightarrow 786\) (exact) 	\(10\rightarrow 786\) (exact)
Taro's multivariable Ackermann function	A(3,2608) 	A(3,2609)
BEAF & Bird's array notation 	{10,786} (exact) 	{10,786} (exact)
Hyper-E notation 	E786 (exact) 	E786 (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)(314) 	m(1)(315)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[34] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[35]
Fast-growing hierarchy 	\(f_2(2599)\) 	\(f_2(2600)\)
Hardy hierarchy 	\(H_{\omega^2}(2599)\) 	\(H_{\omega^2}(2600)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 8+6}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers