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Trialogue is equal to E1#3 = EEE1 = 101010, using Hyper-E notation.[1][2] The term was coined by Sbiis Saibian. It is also equal to 1010,000,000,000, or 1 followed by dialogue (10 billion) zeroes. This number is also equal to 310, or 10↑↑3 using arrow notation. It is 10,000,000,000 digits long.

The number appears in the Schoolhouse Rock! song "My Hero, Zero", although it is not specifically named.[3]

Written out it would take approximately 1,000 books of 300 pages each.

Names in -illion systems

In the short scale, it is also called:

ten trimillitrestrigintatrecenmillitrestrigintatrecenmilliduotrigintatrecentillion

According to Landon Curt Noll's The English name of a number, trialogue is also known as:

ten tremilliamilliamilliatrecentretriginmilliamilliatrecentretriginmilliatrecenduotrigintillion

Aarex Tiaokhiao calls this number gooquadr-hol or doocolplex.[4]

Username5243 calls this number goodcolplex or dootol, and it's equal to 10[2]3 = 10[1]10[1]10 in Username5243's Array Notation.[5]

Etymology

The name of this number is based on Greek prefix "tria-" and the suffix "-logue" for "logarithm".

Approximations in other notations

Notation Lower bound Upper bound
Scientific notation $$1\times10^{10\,000\,000\,000}$$
Down-arrow notation $$10\downarrow\downarrow11$$
Steinhaus-Moser Notation 9[3][3] 10[3][3]
Copy notation 9[9[10]] 1[1[11]]
Chained arrow notation $$10→3→2$$
H* function H(3H(2)) H(4H(2))
Taro's multivariable Ackermann function A(3,A(3,31)) A(3,A(3,32))
Pound-Star Notation #*((1))*32679 #*((1))*32680
BEAF {10,3,2}
Bashicu matrix system (0)(1)[5] (0)(1)[6]
Hyperfactorial array notation (12!)! (13!)!
Fast-growing hierarchy $$f_2(f_2(30))$$ $$f_2(f_2(31))$$
Hardy hierarchy $$H_{\omega^22}(30)$$ $$H_{\omega^22}(31)$$
Slow-growing hierarchy $$g_{\omega^{\omega^\omega}}(10)$$