Trecentillion

A trecentillion is equal to \(10^{903}\) in the short scale and \(10^{1800}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 300th -illion number.
In the long scale, \(10^{903}\) is called quinquagintacentilliard.
In the modified Conway system, \(10^{312}\) in the short scale is also called trecentillion. Meauk pointed out that trecentillion has 2 meanings of \(10^{312}\) and \(10^{903}\) in the modified Conway system.Meauk's tweet In the Conway's system, \(10^{312}\) is distinguished as trescentillion.
== Decimal expansion ==
Written out in decimal form trecentillion (in the short scale) is:
In long scale:
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{903}\) (exact) 	\(1\times10^{903}\) (exact)
Arrow notation 	\(10\uparrow 903\) (exact) 	\(10\uparrow 903\) (exact)
Steinhaus-Moser Notation 	354[3] 	355[3]
Chained arrow notation 	\(10\rightarrow 903\) (exact) 	\(10\rightarrow 903\) (exact)
Taro's multivariable Ackermann function	A(3,2996) 	A(3,2997)
BEAF & Bird's array notation 	{10,903} (exact) 	{10,903} (exact)
Hyper-E notation 	E903 (exact) 	E903 (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)(354) 	m(1)(355)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[58] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[59]
Copy notation 	9[903] 	10[452]
Pound-Star Notation 	#*((64))*18 	#*((65))*18
Hyperfactorial array notation 	413! 	414!
Fast-growing hierarchy 	\(f_2(2988)\) 	\(f_2(2989)\)
Hardy hierarchy 	\(H_{\omega^2}(2988)\) 	\(H_{\omega^2}(2989)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 9+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 9+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1800}\) (exact) 	\(1\times10^{1800}\) (exact)
Arrow notation 	\(10\uparrow 1800\) (exact) 	\(10\uparrow 1800\) (exact)
Steinhaus-Moser Notation 	641[3] 	642[3]
Chained arrow notation 	\(10\rightarrow 1800\) (exact) 	\(10\rightarrow 1800\) (exact)
Taro's multivariable Ackermann function	A(3,5976) 	A(3,5977)
BEAF & Bird's array notation 	{10,1800} (exact) 	{10,1800} (exact)
Hyper-E notation 	E1800 (exact) 	E1800 (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)(641) 	m(1)(642)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[1800] 	1[1801]
Pound-Star Notation 	#*((823))*24 	#*((824))*24
Hyperfactorial array notation 	738! 	739!
Fast-growing hierarchy 	\(f_2(5966)\) 	\(f_2(5967)\)
Hardy hierarchy 	\(H_{\omega^2}(5966)\) 	\(H_{\omega^2}(5967)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8}}(10)\) (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