Quinsexagintaseptingentillion

A quinsexagintaseptingentillion is equal to \(10^{2298}\) in the short scale and \(10^{4590}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 765th -illion number.
In the long scale, \(10^{2298}\) is called tresoctogintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2298}\) (exact) 	\(1\times10^{2298}\) (exact)
Arrow notation 	\(10\uparrow 2298\) (exact) 	\(10\uparrow 2298\) (exact)
Steinhaus-Moser Notation 	792[3] 	793[3]
Chained arrow notation 	\(10\rightarrow 2298\) (exact) 	\(10\rightarrow 2298\) (exact)
Taro's multivariable Ackermann function	A(3,7630) 	A(3,7631)
BEAF & Bird's array notation 	{10,2298} (exact) 	{10,2298} (exact)
Hyper-E notation 	E2298 (exact) 	E2298 (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)(792) 	m(1)(793)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7620)\) 	\(f_2(7621)\)
Hardy hierarchy 	\(H_{\omega^2}(7620)\) 	\(H_{\omega^2}(7621)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 9+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 9+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4590}\) (exact) 	\(1\times10^{4590}\) (exact)
Arrow notation 	\(10\uparrow 4590\) (exact) 	\(10\uparrow 4590\) (exact)
Steinhaus-Moser Notation 	1451[3] 	1452[3]
Chained arrow notation 	\(10\rightarrow 4590\) (exact) 	\(10\rightarrow 4590\) (exact)
Taro's multivariable Ackermann function	A(3,15244) 	A(3,15245)
BEAF & Bird's array notation 	{10,4590} (exact) 	{10,4590} (exact)
Hyper-E notation 	E4590 (exact) 	E4590 (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)(1451) 	m(1)(1452)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15233)\) 	\(f_2(15234)\)
Hardy hierarchy 	\(H_{\omega^2}(15233)\) 	\(H_{\omega^2}(15234)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega 9}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega 9}}(10)\) (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