Quattuorseptuagintaducentillion

A quattuorseptuagintaducentillion is equal to \(10^{825}\) in the short scale and \(10^{1644}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 274th -illion number.
In the long scale, \(10^{825}\) is called septentrigintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{825}\) (exact) 	\(1\times10^{825}\) (exact)
Arrow notation 	\(10\uparrow 825\) (exact) 	\(10\uparrow 825\) (exact)
Steinhaus-Moser Notation 	327[3] 	328[3]
Chained arrow notation 	\(10\rightarrow 825\) (exact) 	\(10\rightarrow 825\) (exact)
Taro's multivariable Ackermann function	A(3,2737) 	A(3,2738)
BEAF & Bird's array notation 	{10,825} (exact) 	{10,825} (exact)
Hyper-E notation 	E825 (exact) 	E825 (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)(327) 	m(1)(328)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[40] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[41]
Fast-growing hierarchy 	\(f_2(2729)\) 	\(f_2(2730)\)
Hardy hierarchy 	\(H_{\omega^2}(2729)\) 	\(H_{\omega^2}(2730)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 2+5}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 2+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1644}\) (exact) 	\(1\times10^{1644}\) (exact)
Arrow notation 	\(10\uparrow 1644\) (exact) 	\(10\uparrow 1644\) (exact)
Steinhaus-Moser Notation 	592[3] 	593[3]
Chained arrow notation 	\(10\rightarrow 1644\) (exact) 	\(10\rightarrow 1644\) (exact)
Taro's multivariable Ackermann function	A(3,5458) 	A(3,5459)
BEAF & Bird's array notation 	{10,1644} (exact) 	{10,1644} (exact)
Hyper-E notation 	E1644 (exact) 	E1644 (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)(592) 	m(1)(593)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5448)\) 	\(f_2(5449)\)
Hardy hierarchy 	\(H_{\omega^2}(5448)\) 	\(H_{\omega^2}(5449)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 4+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 4+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers