Quintrigintaseptingentillion

A quintrigintaseptingentillion is equal to \(10^{2208}\) in the short scale and \(10^{4410}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 735th -illion number.
In the long scale, \(10^{2208}\) is called octosexagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2208}\) (exact) 	\(1\times10^{2208}\) (exact)
Arrow notation 	\(10\uparrow 2208\) (exact) 	\(10\uparrow 2208\) (exact)
Steinhaus-Moser Notation 	765[3] 	766[3]
Chained arrow notation 	\(10\rightarrow 2208\) (exact) 	\(10\rightarrow 2208\) (exact)
Taro's multivariable Ackermann function	A(3,7331) 	A(3,7332)
BEAF & Bird's array notation 	{10,2208} (exact) 	{10,2208} (exact)
Hyper-E notation 	E2208 (exact) 	E2208 (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)(765) 	m(1)(766)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7321)\) 	\(f_2(7322)\)
Hardy hierarchy 	\(H_{\omega^2}(7321)\) 	\(H_{\omega^2}(7322)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4410}\) (exact) 	\(1\times10^{4410}\) (exact)
Arrow notation 	\(10\uparrow 4410\) (exact) 	\(10\uparrow 4410\) (exact)
Steinhaus-Moser Notation 	1401[3] 	1402[3]
Chained arrow notation 	\(10\rightarrow 4410\) (exact) 	\(10\rightarrow 4410\) (exact)
Taro's multivariable Ackermann function	A(3,14646) 	A(3,14647)
BEAF & Bird's array notation 	{10,4410} (exact) 	{10,4410} (exact)
Hyper-E notation 	E4410 (exact) 	E4410 (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)(1401) 	m(1)(1402)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14635)\) 	\(f_2(14636)\)
Hardy hierarchy 	\(H_{\omega^2}(14635)\) 	\(H_{\omega^2}(14636)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers