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138409131 = 3743153277
BaseRepresentation
bin10000011111111…
…11010010101011
3100122102220122010
420033333102223
5240413043011
621422331003
73300313110
oct1017772253
9318386563
10138409131
1171145913
123a429a63
13228a11c3
141454c907
15c2401a6
hex83ff4ab

138409131 has 16 divisors (see below), whose sum is σ = 215815424. Its totient is φ = 77251104.

The previous prime is 138409097. The next prime is 138409157. The reversal of 138409131 is 131904831.

It is not a de Polignac number, because 138409131 - 27 = 138409003 is a prime.

It is a super-2 number, since 2×1384091312 = 38314175088350322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138405131) 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, 75736 + ... + 77541.

It is an arithmetic number, because the mean of its divisors is an integer number (13488464).

Almost surely, 2138409131 is an apocalyptic number.

138409131 is a deficient number, since it is larger than the sum of its proper divisors (77406293).

138409131 is a wasteful number, since it uses less digits than its factorization.

138409131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153330.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 138409131 is about 11764.7410086240. The cubic root of 138409131 is about 517.2751087051.

The spelling of 138409131 in words is "one hundred thirty-eight million, four hundred nine thousand, one hundred thirty-one".

Divisors: 1 3 7 21 43 129 301 903 153277 459831 1072939 3218817 6590911 19772733 46136377 138409131