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314066125 = 536141189
BaseRepresentation
bin10010101110000…
…100010011001101
3210212222012201201
4102232010103031
51120400104000
651055305501
710532342452
oct2256042315
9725865651
10314066125
1115131158a
128921b291
13500b4359
142d9d5829
151c88b96a
hex12b844cd

314066125 has 16 divisors (see below), whose sum is σ = 398389680. Its totient is φ = 247128000.

The previous prime is 314066119. The next prime is 314066141. The reversal of 314066125 is 521660413.

It can be written as a sum of positive squares in 8 ways, for example, as 289918729 + 24147396 = 17027^2 + 4914^2 .

It is not a de Polignac number, because 314066125 - 23 = 314066117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314066093 and 314066102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12970 + ... + 28219.

It is an arithmetic number, because the mean of its divisors is an integer number (24899355).

Almost surely, 2314066125 is an apocalyptic number.

It is an amenable number.

314066125 is a deficient number, since it is larger than the sum of its proper divisors (84323555).

314066125 is an equidigital number, since it uses as much as digits as its factorization.

314066125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41265 (or 41255 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 314066125 is about 17721.9108732665. The cubic root of 314066125 is about 679.7361469123.

The spelling of 314066125 in words is "three hundred fourteen million, sixty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 1525 7625 41189 205945 1029725 2512529 5148625 12562645 62813225 314066125