Quadringentillion

A quadringentillion is equal to \(10^{1203}\) in the short scale and \(10^{2400}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus and Jonathan Bowers naming systemIllion Numbers by Jonathan Bowers as it is the 400th -illion number.
In the long scale, \(10^{1203}\) is called ducentilliard.
==Decimal expansion==
Written out in decimal form quadringentillion (in the short scale) is:
In the long scale:
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1203}\) (exact) 	\(1\times10^{1203}\) (exact)
Arrow notation 	\(10\uparrow 1203\) (exact) 	\(10\uparrow 1203\) (exact)
Steinhaus-Moser Notation 	452[3] 	453[3]
Chained arrow notation 	\(10\rightarrow 1203\) (exact) 	\(10\rightarrow 1203\) (exact)
Taro's multivariable Ackermann function	A(3,3993) 	A(3,3994)
BEAF & Bird's array notation 	{10,1203} (exact) 	{10,1203} (exact)
Hyper-E notation 	E1203 (exact) 	E1203 (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)(452) 	m(1)(453)
Copy notation 	9[1203] 	10[602]
Pound-Star Notation 	#*((1411))*20 	#*((1412))*20
Hyperfactorial array notation 	525! 	526!
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3984)\) 	\(f_2(3985)\)
Hardy hierarchy 	\(H_{\omega^2}(3984)\) 	\(H_{\omega^2}(3985)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2400}\) (exact) 	\(1\times10^{2400}\) (exact)
Arrow notation 	\(10\uparrow 2400\) (exact) 	\(10\uparrow 2400\) (exact)
Steinhaus-Moser Notation 	823[3] 	824[3]
Chained arrow notation 	\(10\rightarrow 2400\) (exact) 	\(10\rightarrow 2400\) (exact)
Taro's multivariable Ackermann function	A(3,7969) 	A(3,7970)
BEAF & Bird's array notation 	{10,2400} (exact) 	{10,2400} (exact)
Hyper-E notation 	E2400 (exact) 	E2400 (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)(823) 	m(1)(824)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[2400] 	1[2401]
Pound-Star Notation 	#*((8572))*27 	#*((8573))*27
Hyperfactorial array notation 	943! 	944!
Fast-growing hierarchy 	\(f_2(7959)\) 	\(f_2(7960)\)
Hardy hierarchy 	\(H_{\omega^2}(7959)\) 	\(H_{\omega^2}(7960)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4}}(10)\) (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