Unoctogintaseptingentillion

An unoctogintaseptingentillion is equal to \(10^{2346}\) in the short scale and \(10^{4686}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 781st -illion number.
In the long scale, \(10^{2346}\) is called unnonagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2346}\) (exact) 	\(1\times10^{2346}\) (exact)
Arrow notation 	\(10\uparrow 2346\) (exact) 	\(10\uparrow 2346\) (exact)
Steinhaus-Moser Notation 	807[3] 	808[3]
Chained arrow notation 	\(10\rightarrow 2346\) (exact) 	\(10\rightarrow 2346\) (exact)
Taro's multivariable Ackermann function	A(3,7790) 	A(3,7791)
BEAF & Bird's array notation 	{10,2346} (exact) 	{10,2346} (exact)
Hyper-E notation 	E2346 (exact) 	E2346 (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)(807) 	m(1)(808)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7780)\) 	\(f_2(7781)\)
Hardy hierarchy 	\(H_{\omega^2}(7780)\) 	\(H_{\omega^2}(7781)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 4+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4686}\) (exact) 	\(1\times10^{4686}\) (exact)
Arrow notation 	\(10\uparrow 4686\) (exact) 	\(10\uparrow 4686\) (exact)
Steinhaus-Moser Notation 	1478[3] 	1479[3]
Chained arrow notation 	\(10\rightarrow 4686\) (exact) 	\(10\rightarrow 4686\) (exact)
Taro's multivariable Ackermann function	A(3,15563) 	A(3,15564)
BEAF & Bird's array notation 	{10,4686} (exact) 	{10,4686} (exact)
Hyper-E notation 	E4686 (exact) 	E4686 (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)(1478) 	m(1)(1479)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15552)\) 	\(f_2(15553)\)
Hardy hierarchy 	\(H_{\omega^2}(15552)\) 	\(H_{\omega^2}(15553)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 8+6}}(10)\) (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