Quinvigintiducentillion

A quinvigintiducentillion is equal to \(10^{678}\) in the short scale and \(10^{1350}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 225th -illion number.
In the long scale, \(10^{678}\) is called tredecicentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{678}\) (exact) 	\(1\times10^{678}\) (exact)
Arrow notation 	\(10\uparrow 678\) (exact) 	\(10\uparrow 678\) (exact)
Steinhaus-Moser Notation 	277[3] 	278[3]
Chained arrow notation 	\(10\rightarrow 678\) (exact) 	\(10\rightarrow 678\) (exact)
Taro's multivariable Ackermann function	A(3,2249) 	A(3,2250)
BEAF & Bird's array notation 	{10,678} (exact) 	{10,678} (exact)
Hyper-E notation 	E678 (exact) 	E678 (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)(277) 	m(1)(278)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[21] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[22]
Fast-growing hierarchy 	\(f_2(2241)\) 	\(f_2(2242)\)
Hardy hierarchy 	\(H_{\omega^2}(2241)\) 	\(H_{\omega^2}(2242)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 7+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1350}\) (exact) 	\(1\times10^{1350}\) (exact)
Arrow notation 	\(10\uparrow 1350\) (exact) 	\(10\uparrow 1350\) (exact)
Steinhaus-Moser Notation 	500[3] 	501[3]
Chained arrow notation 	\(10\rightarrow 1350\) (exact) 	\(10\rightarrow 1350\) (exact)
Taro's multivariable Ackermann function	A(3,4481) 	A(3,4482)
BEAF & Bird's array notation 	{10,1350} (exact) 	{10,1350} (exact)
Hyper-E notation 	E1350 (exact) 	E1350 (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)(500) 	m(1)(501)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4472)\) 	\(f_2(4473)\)
Hardy hierarchy 	\(H_{\omega^2}(4472)\) 	\(H_{\omega^2}(4473)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 5}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers