## FANDOM

10,130 Pages

7,625,597,484,987 is a positive integer equal to $$3^{27} = 3^{3^3} = 3 \uparrow\uparrow 3 = 3 \uparrow\uparrow\uparrow 2$$. It is the largest power tower of 3's expressible in compact digital form ($$^43 = 3^{3^{3^3}}$$ has 3 trillion digits). It appears frequently when inputting threes into functions based on the hyper operators. Tritri, for example, is a 7,625,597,484,987-sized power tower of threes.

In the short scale number-naming system, it is seven trillion, six hundred twenty-five billion, five hundred ninety-seven million, four hundred eighty-four thousand, nine hundred eighty-seven.

In the long scale, it is seven billion, six hundred twenty-five milliard, five hundred ninety-seven million, four hundred eighty-four thousand, nine hundred eighty-seven.

Using Alistair Cockburn's megafuga- prefix, 7,625,597,484,987 can be named "megafugathree".[1]

Wiki user Hyp cos calls this number a tribo, and it's equal to s(3,3,2), s(3,2,3), s(3,2,1,2), and s(3,2{2}2) in his strong array notation.[2]

## In other notations Edit

There are many notations where 7,625,597,484,987 can be expressed:

Notation Expression
Scientific notation $$7.625597484987 \times 10^{12}$$ (exact)
Up-arrow notation $$3 \uparrow\uparrow 3$$, $$3 \uparrow^{2} 3$$, $$3 \uparrow^{3} 2$$ (all exact)
BEAF $$\{3,3,2\}$$, $$\{3,2,3\}$$ (both exact)
Chained arrow notation $$3 \rightarrow 3 \rightarrow 2$$, $$3 \rightarrow 2 \rightarrow 3$$ (both exact)
Hyper-E notation $$E(3)1\#3$$, $$E(3)3\#2$$ (both exact)
Hyperfactorial array notation $$3!3$$ or $$3![1]$$ (both exact)
Factorial $$16!$$
Down-arrow notation $$3 \downarrow\downarrow 4$$ (exact)
Notation Array Notation $$(3\{3,2\}3)$$ or $$(3\{3,3\}2)$$ (both are exact)
Strong array notation $$s(3,3,2)$$, $$s(3,2,3)$$, $$s(3,2,1,2)$$, $$s(3,2\{2\}2)$$ (all exact)
Fast-growing hierarchy $$f_{2} (37)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega}}} (3)$$, $$g_{\varepsilon_0} (3)$$ (both are exact)
Hardy hierarchy $$H_{\omega^2} (37)$$