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314146798144 = 26700612
BaseRepresentation
bin1001001001001001001…
…10111011101001000000
31010000212102121211111221
410210210212323221000
520121333040020034
6400152252044424
731460564503654
oct4444446735100
91100772554457
10314146798144
11111257750113
1250a73163714
132381598819a
14112c1d0ca64
15828963cbb4
hex49249bba40

314146798144 has 21 divisors (see below), whose sum is σ = 623393950441. Its totient is φ = 157071157120.

The previous prime is 314146798117. The next prime is 314146798169. The reversal of 314146798144 is 441897641413.

The square root of 314146798144 is 560488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81745671744 + 232401126400 = 285912^2 + 482080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314146798091 and 314146798100.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4448874 + ... + 4518934.

Almost surely, 2314146798144 is an apocalyptic number.

314146798144 is the 560488-th square number.

It is an amenable number.

314146798144 is a deficient number, since it is larger than the sum of its proper divisors (309247152297).

314146798144 is an frugal number, since it uses more digits than its factorization.

314146798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140134 (or 70063 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The spelling of 314146798144 in words is "three hundred fourteen billion, one hundred forty-six million, seven hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 70061 140122 280244 560488 1120976 2241952 4483904 4908543721 9817087442 19634174884 39268349768 78536699536 157073399072 314146798144