Treseptuagintaquingentillion

A treseptuagintaquingentillion is equal to \(10^{1722}\) in the short scale and \(10^{3438}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 573rd -illion number.
In the long scale, \(10^{1722}\) is called septemoctogintaducentillion.
== Doug's Zillion ==
\(10^{1,722}\) is also called Doug's Zillion. This number originates from an episode of the Nickelodeon animated cartoon Doug, titled "Doug's Mail Order Mania". In this episode, the title character enters a fraudulent sweepstakes which purports to offer this amount in US$ as a prize. Said number is repeatedly referred to as a "zillion" dollars. It is 1,723 digits long.
Notably, the number is written out in full in the episode, taking up several pages of paper. Although it's impossible to see the whole thing at once, the size of the number can be determined by counting the number of zeros on one visible page, multiplying it by the total number of zero-filled pages, and adding the 21 zeros on the first page.
This is quite possibly the largest number ever explicitly referenced in a cartoon.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1722}\) (exact) 	\(1\times10^{1722}\) (exact)
Arrow notation 	\(10\uparrow 1722\) (exact) 	\(10\uparrow 1722\) (exact)
Steinhaus-Moser Notation 	617[3] 	618[3]
Chained arrow notation 	\(10\rightarrow 1722\) (exact) 	\(10\rightarrow 1722\) (exact)
Taro's multivariable Ackermann function	A(3,5717) 	A(3,5718)
BEAF & Bird's array notation 	{10,1722} (exact) 	{10,1722} (exact)
Hyper-E notation 	E1722 (exact) 	E1722 (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)(617) 	m(1)(618)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[1722] 	1[1723]
Pound-Star Notation 	#*((18))*24 	#*((19))*24
Hyperfactorial array notation 	711! 	712!
Fast-growing hierarchy 	\(f_2(5707)\) 	\(f_2(5708)\)
Hardy hierarchy 	\(H_{\omega^2}(5707)\) 	\(H_{\omega^2}(5708)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 2+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3438}\) (exact) 	\(1\times10^{3438}\) (exact)
Arrow notation 	\(10\uparrow 3438\) (exact) 	\(10\uparrow 3438\) (exact)
Steinhaus-Moser Notation 	1126[3] 	1127[3]
Chained arrow notation 	\(10\rightarrow 3438\) (exact) 	\(10\rightarrow 3438\) (exact)
Taro's multivariable Ackermann function	A(3,11417) 	A(3,11418)
BEAF & Bird's array notation 	{10,3438} (exact) 	{10,3438} (exact)
Hyper-E notation 	E3438 (exact) 	E3438 (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)(1126) 	m(1)(1127)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11407)\) 	\(f_2(11408)\)
Hardy hierarchy 	\(H_{\omega^2}(11407)\) 	\(H_{\omega^2}(11408)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 3+8}}(10)\) (exact)
== Sources ==
== See also ==
* Zillion
* Gazillion
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
Category:Numbers in pop culture