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138313644 = 22372956779
BaseRepresentation
bin10000011111001…
…11111110101100
3100122021001122120
420033213332230
5240402014034
621420312540
73266434530
oct1017477654
9318231576
10138313644
11710900a7
123a3a2750
13228698c1
1414525bc0
15c221c49
hex83e7fac

138313644 has 48 divisors (see below), whose sum is σ = 381561600. Its totient is φ = 38154816.

The previous prime is 138313639. The next prime is 138313667. The reversal of 138313644 is 446313831.

138313644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 25954 + ... + 30825.

It is an arithmetic number, because the mean of its divisors is an integer number (7949200).

Almost surely, 2138313644 is an apocalyptic number.

138313644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138313644 is an abundant number, since it is smaller than the sum of its proper divisors (243247956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138313644 is a wasteful number, since it uses less digits than its factorization.

138313644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56822 (or 56820 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 138313644 is about 11760.6821230743. The cubic root of 138313644 is about 517.1561271252.

The spelling of 138313644 in words is "one hundred thirty-eight million, three hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 56779 113558 170337 227116 340674 397453 681348 794906 1192359 1589812 1646591 2384718 3293182 4769436 4939773 6586364 9879546 11526137 19759092 23052274 34578411 46104548 69156822 138313644