Tresvigintiseptingentillion

A tresvigintiseptingentillion is equal to \(10^{2172}\) in the short scale and \(10^{4338}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 723rd -illion number.
In the long scale, \(10^{2172}\) is called duosexagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2172}\) (exact) 	\(1\times10^{2172}\) (exact)
Arrow notation 	\(10\uparrow 2172\) (exact) 	\(10\uparrow 2172\) (exact)
Steinhaus-Moser Notation 	754[3] 	755[3]
Chained arrow notation 	\(10\rightarrow 2172\) (exact) 	\(10\rightarrow 2172\) (exact)
Taro's multivariable Ackermann function	A(3,7212) 	A(3,7213)
BEAF & Bird's array notation 	{10,2172} (exact) 	{10,2172} (exact)
Hyper-E notation 	E2172 (exact) 	E2172 (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)(754) 	m(1)(755)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7202)\) 	\(f_2(7203)\)
Hardy hierarchy 	\(H_{\omega^2}(7202)\) 	\(H_{\omega^2}(7203)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 7+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4338}\) (exact) 	\(1\times10^{4338}\) (exact)
Arrow notation 	\(10\uparrow 4338\) (exact) 	\(10\uparrow 4338\) (exact)
Steinhaus-Moser Notation 	1381[3] 	1382[3]
Chained arrow notation 	\(10\rightarrow 4338\) (exact) 	\(10\rightarrow 4338\) (exact)
Taro's multivariable Ackermann function	A(3,14407) 	A(3,14408)
BEAF & Bird's array notation 	{10,4338} (exact) 	{10,4338} (exact)
Hyper-E notation 	E4338 (exact) 	E4338 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1381) 	m(1)(1382)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14396)\) 	\(f_2(14397)\)
Hardy hierarchy 	\(H_{\omega^2}(14396)\) 	\(H_{\omega^2}(14397)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 3+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 3+\omega 3+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers