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138308814 = 23275412029
BaseRepresentation
bin10000011111001…
…10110011001110
3100122020211000200
420033212303032
5240401340224
621420234330
73266414460
oct1017466316
9318224020
10138308814
1171087506
123a39b9a6
1322867647
1414524130
15c2205c9
hex83e6cce

138308814 has 48 divisors (see below), whose sum is σ = 343281120. Its totient is φ = 39424320.

The previous prime is 138308813. The next prime is 138308831. The reversal of 138308814 is 418803831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138308813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67152 + ... + 69180.

It is an arithmetic number, because the mean of its divisors is an integer number (7151690).

Almost surely, 2138308814 is an apocalyptic number.

138308814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138308814 is an abundant number, since it is smaller than the sum of its proper divisors (204972306).

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

138308814 is a wasteful number, since it uses less digits than its factorization.

138308814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 138308814 is about 11760.4767760495. The cubic root of 138308814 is about 517.1501072487.

The spelling of 138308814 in words is "one hundred thirty-eight million, three hundred eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 541 1082 1623 2029 3246 3787 4058 4869 6087 7574 9738 11361 12174 14203 18261 22722 28406 34083 36522 42609 68166 85218 127827 255654 1097689 2195378 3293067 6586134 7683823 9879201 15367646 19758402 23051469 46102938 69154407 138308814