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138138714 = 23271318369
BaseRepresentation
bin10000011101111…
…01010001011010
3100121221011200200
420032331101122
5240330414324
621412443030
73265105530
oct1016752132
9317834620
10138138714
1170a8072a
123a319476
13228080ac
14144bc150
15c1d9ec9
hex83bd45a

138138714 has 48 divisors (see below), whose sum is σ = 344710080. Its totient is φ = 39162240.

The previous prime is 138138701. The next prime is 138138731. The reversal of 138138714 is 417831831.

138138714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12322 + ... + 20690.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2138138714 is an apocalyptic number.

138138714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138138714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

138138714 is an abundant number, since it is smaller than the sum of its proper divisors (206571366).

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

138138714 is a wasteful number, since it uses less digits than its factorization.

138138714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8512 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 138138714 is about 11753.2427014846. The cubic root of 138138714 is about 516.9380134621.

The spelling of 138138714 in words is "one hundred thirty-eight million, one hundred thirty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 8253 8369 16506 16738 25107 50214 58583 75321 117166 150642 175749 351498 527247 1054494 1096339 2192678 3289017 6578034 7674373 9867051 15348746 19734102 23023119 46046238 69069357 138138714