Quattuorvigintiducentillion

A quattuorvigintiducentillion is equal to \(10^{675}\) in the short scale and \(10^{1344}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 224th -illion number.
In the long scale, \(10^{675}\) is called duodecicentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{675}\) (exact) 	\(1\times10^{675}\) (exact)
Arrow notation 	\(10\uparrow 675\) (exact) 	\(10\uparrow 675\) (exact)
Steinhaus-Moser Notation 	276[3] 	277[3]
Chained arrow notation 	\(10\rightarrow 675\) (exact) 	\(10\rightarrow 675\) (exact)
Taro's multivariable Ackermann function	A(3,2239) 	A(3,2240)
BEAF & Bird's array notation 	{10,675} (exact) 	{10,675} (exact)
Hyper-E notation 	E675 (exact) 	E675 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(276) 	m(1)(277)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[20] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[21]
Fast-growing hierarchy 	\(f_2(2231)\) 	\(f_2(2232)\)
Hardy hierarchy 	\(H_{\omega^2}(2231)\) 	\(H_{\omega^2}(2232)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 7+5}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 7+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1344}\) (exact) 	\(1\times10^{1344}\) (exact)
Arrow notation 	\(10\uparrow 1344\) (exact) 	\(10\uparrow 1344\) (exact)
Steinhaus-Moser Notation 	498[3] 	499[3]
Chained arrow notation 	\(10\rightarrow 1344\) (exact) 	\(10\rightarrow 1344\) (exact)
Taro's multivariable Ackermann function	A(3,4461) 	A(3,4462)
BEAF & Bird's array notation 	{10,1344} (exact) 	{10,1344} (exact)
Hyper-E notation 	E1344 (exact) 	E1344 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(498) 	m(1)(499)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4452)\) 	\(f_2(4453)\)
Hardy hierarchy 	\(H_{\omega^2}(4452)\) 	\(H_{\omega^2}(4453)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 4+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 4+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers