Quinseptingentillion

A quinseptingentillion is equal to \(10^{2118}\) in the short scale and \(10^{4230}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 705th -illion number.
In the long scale, \(10^{2118}\) is called tresquinquagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2118}\) (exact) 	\(1\times10^{2118}\) (exact)
Arrow notation 	\(10\uparrow 2118\) (exact) 	\(10\uparrow 2118\) (exact)
Steinhaus-Moser Notation 	738[3] 	739[3]
Chained arrow notation 	\(10\rightarrow 2118\) (exact) 	\(10\rightarrow 2118\) (exact)
Taro's multivariable Ackermann function	A(3,7032) 	A(3,7033)
BEAF & Bird's array notation 	{10,2118} (exact) 	{10,2118} (exact)
Hyper-E notation 	E2118 (exact) 	E2118 (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)(738) 	m(1)(739)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7023)\) 	\(f_2(7024)\)
Hardy hierarchy 	\(H_{\omega^2}(7023)\) 	\(H_{\omega^2}(7024)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4230}\) (exact) 	\(1\times10^{4230}\) (exact)
Arrow notation 	\(10\uparrow 4230\) (exact) 	\(10\uparrow 4230\) (exact)
Steinhaus-Moser Notation 	1351[3] 	1352[3]
Chained arrow notation 	\(10\rightarrow 4230\) (exact) 	\(10\rightarrow 4230\) (exact)
Taro's multivariable Ackermann function	A(3,14048) 	A(3,14049)
BEAF & Bird's array notation 	{10,4230} (exact) 	{10,4230} (exact)
Hyper-E notation 	E4230 (exact) 	E4230 (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)(1351) 	m(1)(1352)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14037)\) 	\(f_2(14038)\)
Hardy hierarchy 	\(H_{\omega^2}(14037)\) 	\(H_{\omega^2}(14038)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 3}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 3}}(10)\) (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