Search a number
-
+
314239135 = 57172112503
BaseRepresentation
bin10010101110101…
…110100010011111
3210220022000001111
4102232232202133
51120421123020
651103122451
710533663040
oct2256564237
9726260044
10314239135
1115141a571
12892a3427
1350145022
142da3c8c7
151c8c2d5a
hex12bae89f

314239135 has 32 divisors (see below), whose sum is σ = 458652672. Its totient is φ = 201761280.

The previous prime is 314239117. The next prime is 314239147. The reversal of 314239135 is 531932413.

It is not a de Polignac number, because 314239135 - 215 = 314206367 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314239097 and 314239106.

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 31 ways as a sum of consecutive naturals, for example, 124294 + ... + 126796.

It is an arithmetic number, because the mean of its divisors is an integer number (14332896).

Almost surely, 2314239135 is an apocalyptic number.

314239135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

314239135 is a deficient number, since it is larger than the sum of its proper divisors (144413537).

314239135 is a wasteful number, since it uses less digits than its factorization.

314239135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743.

The product of its digits is 9720, while the sum is 31.

The square root of 314239135 is about 17726.7914468468. The cubic root of 314239135 is about 679.8609397013.

The spelling of 314239135 in words is "three hundred fourteen million, two hundred thirty-nine thousand, one hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 211 595 1055 1477 2503 3587 7385 12515 17521 17935 25109 42551 87605 125545 212755 297857 528133 1489285 2640665 3696931 8978261 18484655 44891305 62847827 314239135