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138466314 = 2337366313
BaseRepresentation
bin10000100000011…
…01010000001010
3100122112211002000
420100031100022
5240421410224
621423451430
73300641610
oct1020152012
9318484060
10138466314
1171184878
123a456b76
13228c123c
14145656b0
15c2520c9
hex840d40a

138466314 has 32 divisors (see below), whose sum is σ = 351661440. Its totient is φ = 39561696.

The previous prime is 138466313. The next prime is 138466337. The reversal of 138466314 is 413664831.

It is a happy number.

138466314 is a `hidden beast` number, since 13 + 8 + 4 + 6 + 631 + 4 = 666.

It is a super-2 number, since 2×1384663142 = 38345840225493192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138466313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182779 + ... + 183534.

It is an arithmetic number, because the mean of its divisors is an integer number (10989420).

Almost surely, 2138466314 is an apocalyptic number.

138466314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138466314 is an abundant number, since it is smaller than the sum of its proper divisors (213195126).

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

138466314 is a wasteful number, since it uses less digits than its factorization.

138466314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366331 (or 366325 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138466314 is about 11767.1710279064. The cubic root of 138466314 is about 517.3463353883.

The spelling of 138466314 in words is "one hundred thirty-eight million, four hundred sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 366313 732626 1098939 2197878 2564191 3296817 5128382 6593634 7692573 9890451 15385146 19780902 23077719 46155438 69233157 138466314