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314241135 = 351321131097
BaseRepresentation
bin10010101110101…
…111000001101111
3210220022002210120
4102232233001233
51120421204020
651103140023
710534001625
oct2256570157
9726262716
10314241135
1115142101a
12892a4613
1350145c00
142da3d515
151c8c3740
hex12baf06f

314241135 has 48 divisors (see below), whose sum is σ = 549755424. Its totient is φ = 153194496.

The previous prime is 314241127. The next prime is 314241143. The reversal of 314241135 is 531142413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314241127) and next prime (314241143).

It is not a de Polignac number, because 314241135 - 23 = 314241127 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285907 + ... + 287003.

It is an arithmetic number, because the mean of its divisors is an integer number (11453238).

Almost surely, 2314241135 is an apocalyptic number.

314241135 is a deficient number, since it is larger than the sum of its proper divisors (235514289).

314241135 is a wasteful number, since it uses less digits than its factorization.

314241135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1231 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 314241135 is about 17726.8478585450. The cubic root of 314241135 is about 679.8623820413.

Adding to 314241135 its reverse (531142413), we get a palindrome (845383548).

The spelling of 314241135 in words is "three hundred fourteen million, two hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 113 169 195 339 507 565 845 1097 1469 1695 2535 3291 4407 5485 7345 14261 16455 19097 22035 42783 57291 71305 95485 123961 185393 213915 286455 371883 556179 619805 926965 1611493 1859415 2780895 4834479 8057465 20949409 24172395 62848227 104747045 314241135