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138650424433920 = 2833571941735719
BaseRepresentation
bin11111100001101000010001…
…010010111101110100000000
3200011220211222110201101122000
4133201220101102331310000
5121133122032123341140
61210515043050544000
741130106525200330
oct3741502122756400
9604824873641560
10138650424433920
11401a6350a90543
121367346a738000
135c498a9791499
142634a059370c0
15110693810ea30
hex7e1a114bdd00

138650424433920 has 1152 divisors, whose sum is σ = 606336869376000. Its totient is φ = 29291229020160.

The previous prime is 138650424433891. The next prime is 138650424433933. The reversal of 138650424433920 is 29334424056831.

138650424433920 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 5 + 0 + 4 + 244 + 3 + 392 + 0 = 666.

138650424433920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188087821 + ... + 188823539.

It is an arithmetic number, because the mean of its divisors is an integer number (526334088000).

Almost surely, 2138650424433920 is an apocalyptic number.

138650424433920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138650424433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303168434688000).

138650424433920 is an abundant number, since it is smaller than the sum of its proper divisors (467686444942080).

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

138650424433920 is a wasteful number, since it uses less digits than its factorization.

138650424433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735816 (or 735796 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 138650424433920 in words is "one hundred thirty-eight trillion, six hundred fifty billion, four hundred twenty-four million, four hundred thirty-three thousand, nine hundred twenty".