Unoctingentillion

An unoctingentillion is equal to \(10^{2406}\) in the short scale and \(10^{4806}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 801st -illion number.
In the long scale, \(10^{2406}\) is called unquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2406}\) (exact) 	\(1\times10^{2406}\) (exact)
Arrow notation 	\(10\uparrow 2406\) (exact) 	\(10\uparrow 2406\) (exact)
Steinhaus-Moser Notation 	824[3] 	825[3]
Chained arrow notation 	\(10\rightarrow 2406\) (exact) 	\(10\rightarrow 2406\) (exact)
Taro's multivariable Ackermann function	A(3,7989) 	A(3,7990)
BEAF & Bird's array notation 	{10,2406} (exact) 	{10,2406} (exact)
Hyper-E notation 	E2406 (exact) 	E2406 (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)(824) 	m(1)(825)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7979)\) 	\(f_2(7980)\)
Hardy hierarchy 	\(H_{\omega^2}(7979)\) 	\(H_{\omega^2}(7980)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4806}\) (exact) 	\(1\times10^{4806}\) (exact)
Arrow notation 	\(10\uparrow 4806\) (exact) 	\(10\uparrow 4806\) (exact)
Steinhaus-Moser Notation 	1511[3] 	1512[3]
Chained arrow notation 	\(10\rightarrow 4806\) (exact) 	\(10\rightarrow 4806\) (exact)
Taro's multivariable Ackermann function	A(3,15962) 	A(3,15963)
BEAF & Bird's array notation 	{10,4806} (exact) 	{10,4806} (exact)
Hyper-E notation 	E4806 (exact) 	E4806 (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)(1511) 	m(1)(1512)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15951)\) 	\(f_2(15952)\)
Hardy hierarchy 	\(H_{\omega^2}(15951)\) 	\(H_{\omega^2}(15952)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+6}}(10)\) (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