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138623814 = 23271764717
BaseRepresentation
bin10000100001100…
…11101101000110
3100122211211010100
420100303231012
5240441430224
621431104530
73302166030
oct1020635506
9318754110
10138623814
117128213a
123a512146
1322947b34
14145a6c50
15c283ac9
hex8433b46

138623814 has 48 divisors (see below), whose sum is σ = 363456288. Its totient is φ = 37276416.

The previous prime is 138623809. The next prime is 138623833. The reversal of 138623814 is 418326831.

138623814 is a `hidden beast` number, since 13 + 8 + 623 + 8 + 14 = 666.

It is a congruent number.

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, 30217 + ... + 34500.

It is an arithmetic number, because the mean of its divisors is an integer number (7572006).

Almost surely, 2138623814 is an apocalyptic number.

138623814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138623814 is an abundant number, since it is smaller than the sum of its proper divisors (224832474).

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

138623814 is a wasteful number, since it uses less digits than its factorization.

138623814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64749 (or 64746 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138623814 is about 11773.8614736203. The cubic root of 138623814 is about 517.5424147830.

It can be divided in two parts, 1386 and 23814, that added together give a triangular number (25200 = T224).

The spelling of 138623814 in words is "one hundred thirty-eight million, six hundred twenty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 64717 129434 194151 388302 453019 582453 906038 1100189 1164906 1359057 2200378 2718114 3300567 4077171 6601134 7701323 8154342 9901701 15402646 19803402 23103969 46207938 69311907 138623814