Tresoctogintaquingentillion

A tresoctogintaquingentillion is equal to \(10^{1752}\) in the short scale and \(10^{3498}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 583rd -illion number.
In the long scale, \(10^{1752}\) is called duononagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1752}\) (exact) 	\(1\times10^{1752}\) (exact)
Arrow notation 	\(10\uparrow 1752\) (exact) 	\(10\uparrow 1752\) (exact)
Steinhaus-Moser Notation 	626[3] 	627[3]
Chained arrow notation 	\(10\rightarrow 1752\) (exact) 	\(10\rightarrow 1752\) (exact)
Taro's multivariable Ackermann function	A(3,5817) 	A(3,5818)
BEAF & Bird's array notation 	{10,1752} (exact) 	{10,1752} (exact)
Hyper-E notation 	E1752 (exact) 	E1752 (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)(626) 	m(1)(627)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5807)\) 	\(f_2(5808)\)
Hardy hierarchy 	\(H_{\omega^2}(5807)\) 	\(H_{\omega^2}(5808)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 5+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 5+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3498}\) (exact) 	\(1\times10^{3498}\) (exact)
Arrow notation 	\(10\uparrow 3498\) (exact) 	\(10\uparrow 3498\) (exact)
Steinhaus-Moser Notation 	1143[3] 	1144[3]
Chained arrow notation 	\(10\rightarrow 3498\) (exact) 	\(10\rightarrow 3498\) (exact)
Taro's multivariable Ackermann function	A(3,11617) 	A(3,11618)
BEAF & Bird's array notation 	{10,3498} (exact) 	{10,3498} (exact)
Hyper-E notation 	E3498 (exact) 	E3498 (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)(1143) 	m(1)(1144)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11606)\) 	\(f_2(11607)\)
Hardy hierarchy 	\(H_{\omega^2}(11606)\) 	\(H_{\omega^2}(11607)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 9+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 9+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers