Marioplex

Marioplex is a large number named by the YouTuber in a video called "Game Theory: Super Mario Maker, BIGGER than the UNIVERSE!".Game Theory: Super Mario Maker, BIGGER than the UNIVERSE! It is equal to 1012,431. It is 12,432 digits long.
MatPat coined this number on August 6, 2017, when trying to calculate the number of possible, completable, and fun levels in the game Super Mario Maker.
This number was calculated by the repeated use of the , and represents, very roughly, the number of possible levels in the aforementioned game that are both fun and completable. As the exact number of levels with said properties is impossible to calculate, a was used to define the number.
The value 1.8×1012,431 was given as the result of the Fermi estimate. However, the number that was actually named "Marioplex" at the end of the video was 1012,431, without the 1.8. 1.8 was likely omitted due to the Fermi estimate only being accurate, according to MatPat, within an order of magnitude.
== Size ==
As it is larger than the googol to the 100th power, Marioplex far surpasses the number of atoms in the (estimated at between 1078 and 1082 atoms).
In fact, many googols of copies of the observable universe would be needed to have even an extremely small fraction of a Marioplex of Planck volumes, the smallest possible amount of volume that is thought to exist.
Marioplex is also known as "one hundred quattuormilliacenduoquadragintillion" according to Landon Curt Noll's The English name of a number.
== Decimal expansion ==
== Approximations ==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{12\,431}\) 	\(1\times10^{12\,431}\)
Arrow notation 	\(10\uparrow12\,431\) 	\(10\uparrow12\,431\)
Steinhaus-Moser Notation 	5[3][3] 	6[3][3]
Copy notation 	9[12431] 	10[6216]
Chained arrow notation 	\(10\rightarrow12\,431\) 	\(10\rightarrow12\,431\)
Taro's multivariable Ackermann function	A(3,41291) 	A(3,41292)
Pound-Star Notation 	#*((346))*57 	#*((347))*57
BEAF 	{10,12431} 	{10,12431}
Hyper-E notation 	E12,431 	E12,431
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Hyperfactorial array notation 	3,932! 	3,933!
Fast-growing hierarchy 	\(f_2(41\,279)\) 	\(f_2(41\,280)\)
Hardy hierarchy 	\(H_{\omega^2}(41\,279)\) 	\(H_{\omega^2}(41\,280)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^4+\omega^32+\omega^24+\omega3+1}}(10)\)	\(g_{\omega^{\omega^4+\omega^32+\omega^24+\omega3+1}}(10)\)
== Trivia ==
In a later video, "We Built A Computer in Mario Maker!", 1.8×1012,431 was used rather than simply 1012,431.Game Theory: We Built A Computer in Mario Maker! This may have been a mistake, as, in the original video, MatPat specifically dubbed the Marioplex as "ten to the twelve thousand four hundred thirty-first power".
== See also ==
*Minecraftplex
== Sources ==
Category:Class 2
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10
Category:Video games