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138942328704 = 2731732091497
BaseRepresentation
bin1000000101100110011…
…0111010111110000000
3111021122010111121111020
42001121212322332000
54234023214004304
6143455040145440
713016056210344
oct2013146727600
9437563447436
10138942328704
1153a1a360033
1222b17608280
1310143711aaa
146a20d8b624
153932e4c5d9
hex20599baf80

138942328704 has 64 divisors (see below), whose sum is σ = 371199065040. Its totient is φ = 46046375936.

The previous prime is 138942328691. The next prime is 138942328709. The reversal of 138942328704 is 407823249831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1389423287043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138942328709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979317 + ... + 1112180.

Almost surely, 2138942328704 is an apocalyptic number.

It is an amenable number.

138942328704 is an abundant number, since it is smaller than the sum of its proper divisors (232256736336).

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

138942328704 is a wasteful number, since it uses less digits than its factorization.

138942328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091687 (or 2091675 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 138942328704 in words is "one hundred thirty-eight billion, nine hundred forty-two million, three hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 66432 2091497 4182994 6274491 8365988 12548982 16731976 25097964 33463952 50195928 66927904 100391856 133855808 200783712 267711616 361828981 401567424 723657962 803134848 1085486943 1447315924 2170973886 2894631848 4341947772 5789263696 8683895544 11578527392 17367791088 23157054784 34735582176 46314109568 69471164352 138942328704