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139742051904 = 2633713919967
BaseRepresentation
bin1000001000100101000…
…1100111111001000000
3111100200212022202111000
42002021101213321000
54242142431130104
6144110245052000
713044636562020
oct2021121477100
9440625282430
10139742051904
115429a8219a4
12230bb3b7000
13102402c89a0
146a99283a80
15397d26c639
hex2089467e40

139742051904 has 448 divisors, whose sum is σ = 506693017600. Its totient is φ = 36776871936.

The previous prime is 139742051887. The next prime is 139742051957. The reversal of 139742051904 is 409150247931.

139742051904 is a `hidden beast` number, since 1 + 3 + 97 + 42 + 0 + 519 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 139742051904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144510429 + ... + 144511395.

It is an arithmetic number, because the mean of its divisors is an integer number (1131011200).

Almost surely, 2139742051904 is an apocalyptic number.

139742051904 is a gapful number since it is divisible by the number (14) 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 139742051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253346508800).

139742051904 is an abundant number, since it is smaller than the sum of its proper divisors (366950965696).

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

139742051904 is a wasteful number, since it uses less digits than its factorization.

139742051904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 139742051904 in words is "one hundred thirty-nine billion, seven hundred forty-two million, fifty-one thousand, nine hundred four".