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314151140 = 22553296369
BaseRepresentation
bin10010101110011…
…001000011100100
3210220010112100102
4102232121003210
51120410314030
651101203232
710533145352
oct2256310344
9726115312
10314151140
1115136a446
1289260518
1350113c64
142da187d2
151c8a6c45
hex12b990e4

314151140 has 24 divisors (see below), whose sum is σ = 672167160. Its totient is φ = 123289088.

The previous prime is 314151139. The next prime is 314151161. The reversal of 314151140 is 41151413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67535524 + 246615616 = 8218^2 + 15704^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147125 + ... + 149244.

It is an arithmetic number, because the mean of its divisors is an integer number (28006965).

Almost surely, 2314151140 is an apocalyptic number.

It is an amenable number.

314151140 is an abundant number, since it is smaller than the sum of its proper divisors (358016020).

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

314151140 is a wasteful number, since it uses less digits than its factorization.

314151140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296431 (or 296429 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 314151140 is about 17724.3092954281. The cubic root of 314151140 is about 679.7974742894.

The spelling of 314151140 in words is "three hundred fourteen million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 296369 592738 1185476 1481845 2963690 5927380 15707557 31415114 62830228 78537785 157075570 314151140