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138643281 = 32719711171
BaseRepresentation
bin10000100001110…
…00011101010001
3100122212210211100
420100320131101
5240443041111
621431335013
73302306550
oct1020703521
9318783740
10138643281
1171295827
123a521469
132295395a
14145add97
15c289756
hex8438751

138643281 has 24 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 78815520.

The previous prime is 138643261. The next prime is 138643321. The reversal of 138643281 is 182346831.

138643281 is a `hidden beast` number, since 1 + 3 + 8 + 643 + 2 + 8 + 1 = 666.

It is not a de Polignac number, because 138643281 - 214 = 138626897 is a prime.

It is a super-2 number, since 2×1386432812 = 38443918732889922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138643231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6826 + ... + 17996.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 2138643281 is an apocalyptic number.

It is an amenable number.

138643281 is a deficient number, since it is larger than the sum of its proper divisors (91410543).

138643281 is a wasteful number, since it uses less digits than its factorization.

138643281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381 (or 11378 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138643281 is about 11774.6881487367. The cubic root of 138643281 is about 517.5666398814.

The spelling of 138643281 in words is "one hundred thirty-eight million, six hundred forty-three thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 11171 12411 33513 78197 100539 234591 703773 2200687 6602061 15404809 19806183 46214427 138643281