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138314751 = 31911991213
BaseRepresentation
bin10000011111010…
…00001111111111
3100122021010011120
420033220033333
5240402033001
621420322023
73266441001
oct1017501777
9318233146
10138314751
1171090a13
123a3a3313
132286a263
1414526371
15c222236
hex83e83ff

138314751 has 16 divisors (see below), whose sum is σ = 186470400. Its totient is φ = 91190880.

The previous prime is 138314747. The next prime is 138314773. The reversal of 138314751 is 157413831.

It is not a de Polignac number, because 138314751 - 22 = 138314747 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138314731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113421 + ... + 114633.

It is an arithmetic number, because the mean of its divisors is an integer number (11654400).

Almost surely, 2138314751 is an apocalyptic number.

138314751 is a deficient number, since it is larger than the sum of its proper divisors (48155649).

138314751 is a wasteful number, since it uses less digits than its factorization.

138314751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606.

The product of its digits is 10080, while the sum is 33.

The square root of 138314751 is about 11760.7291865768. The cubic root of 138314751 is about 517.1575068163.

The spelling of 138314751 in words is "one hundred thirty-eight million, three hundred fourteen thousand, seven hundred fifty-one".

Divisors: 1 3 191 199 573 597 1213 3639 38009 114027 231683 241387 695049 724161 46104917 138314751