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314270117604 = 223223324012
BaseRepresentation
bin1001001001010111111…
…01010110111011100100
31010001012000200010000100
410210223331112323210
520122111122230404
6400212415144100
731463622631632
oct4445375267344
91101160603010
10314270117604
11111310319923
1250aa8515030
13238353a4c91
14112d4450352
15829539bd39
hex492bf56ee4

314270117604 has 81 divisors (see below), whose sum is σ = 799823676379. Its totient is φ = 104046988800.

The previous prime is 314270117593. The next prime is 314270117659. The reversal of 314270117604 is 406711072413.

The square root of 314270117604 is 560598.

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

314270117604 is a `hidden beast` number, since 3 + 1 + 42 + 7 + 0 + 1 + 1 + 7 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40582102500 + 273688015104 = 201450^2 + 523152^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 783715804 + ... + 783716204.

Almost surely, 2314270117604 is an apocalyptic number.

314270117604 is the 560598-th square number.

It is an amenable number.

314270117604 is an abundant number, since it is smaller than the sum of its proper divisors (485553558775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314270117604 is an equidigital number, since it uses as much as digits as its factorization.

314270117604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 314270117604 by its sum of digits (36), we get a square (11313724233744 = 33635882).

314270117604 divided by its sum of digits (36) gives a square (8729725489 = 934332).

The spelling of 314270117604 in words is "three hundred fourteen billion, two hundred seventy million, one hundred seventeen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 233 401 466 699 802 932 1203 1398 1604 2097 2406 2796 3609 4194 4812 7218 8388 14436 54289 93433 108578 160801 162867 186866 217156 280299 321602 325734 373732 482403 488601 560598 643204 651468 840897 964806 977202 1121196 1447209 1681794 1929612 1954404 2894418 3363588 5788836 21769889 37466633 43539778 65309667 74933266 87079556 112399899 130619334 149866532 195929001 224799798 261238668 337199697 391858002 449599596 674399394 783716004 1348798788 8729725489 17459450978 26189176467 34918901956 52378352934 78567529401 104756705868 157135058802 314270117604