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138314177 = 372711423
BaseRepresentation
bin10000011111010…
…00000111000001
3100122021002101022
420033220013001
5240402023202
621420315225
73266436221
oct1017500701
9318232338
10138314177
1171090541
123a3a2b15
1322869c11
1414526081
15c221ea2
hex83e81c1

138314177 has 12 divisors (see below), whose sum is σ = 144256896. Its totient is φ = 132587280.

The previous prime is 138314173. The next prime is 138314179. The reversal of 138314177 is 771413831.

It is not a de Polignac number, because 138314177 - 22 = 138314173 is a prime.

It is a Duffinian number.

Its product of digits (14112) is a multiple of the sum of its prime factors (1568).

It is not an unprimeable number, because it can be changed into a prime (138314173) 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 11 ways as a sum of consecutive naturals, for example, 96488 + ... + 97910.

It is an arithmetic number, because the mean of its divisors is an integer number (12021408).

Almost surely, 2138314177 is an apocalyptic number.

It is an amenable number.

138314177 is a deficient number, since it is larger than the sum of its proper divisors (5942719).

138314177 is an equidigital number, since it uses as much as digits as its factorization.

138314177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1531 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 138314177 is about 11760.7047833027. The cubic root of 138314177 is about 517.1567914218.

The spelling of 138314177 in words is "one hundred thirty-eight million, three hundred fourteen thousand, one hundred seventy-seven".

Divisors: 1 37 71 1369 1423 2627 52651 97199 101033 1948087 3738221 138314177