Search a number
-
+
138642363 = 3243675347
BaseRepresentation
bin10000100001110…
…00001110111011
3100122212202120100
420100320032323
5240443023423
621431330443
73302304066
oct1020701673
9318782510
10138642363
1171295072
123a520a23
1322953402
14145ad8dd
15c289343
hex84383bb

138642363 has 24 divisors (see below), whose sum is σ = 208015808. Its totient is φ = 88914672.

The previous prime is 138642349. The next prime is 138642407. The reversal of 138642363 is 363246831.

138642363 is a `hidden beast` number, since 1 + 3 + 8 + 642 + 3 + 6 + 3 = 666.

It is not a de Polignac number, because 138642363 - 24 = 138642347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138640363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23256 + ... + 28602.

Almost surely, 2138642363 is an apocalyptic number.

138642363 is a deficient number, since it is larger than the sum of its proper divisors (69373445).

138642363 is a wasteful number, since it uses less digits than its factorization.

138642363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5460 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 138642363 is about 11774.6491667480. The cubic root of 138642363 is about 517.5654975560.

The spelling of 138642363 in words is "one hundred thirty-eight million, six hundred forty-two thousand, three hundred sixty-three".

Divisors: 1 3 9 43 67 129 201 387 603 2881 5347 8643 16041 25929 48123 229921 358249 689763 1074747 2069289 3224241 15404707 46214121 138642363