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139394691072 = 2123971319
BaseRepresentation
bin1000000111010010010…
…0100011000000000000
3111022210122201000000000
42001310210203000000
54240440020103242
6144012000000000
713033221216150
oct2016444430000
9438718630000
10139394691072
115413173a62a
1223023000000
13101b6357b30
146a650a2760
15395ca05a4c
hex2074923000

139394691072 has 1040 divisors, whose sum is σ = 541701628160. Its totient is φ = 34828517376.

The previous prime is 139394691031. The next prime is 139394691101. The reversal of 139394691072 is 270196493931.

It is a happy number.

139394691072 is a `hidden beast` number, since 1 + 393 + 94 + 69 + 107 + 2 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 139394691072 = 4323 + 51843 = 38883 + 43203.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7336562679 + ... + 7336562697.

Almost surely, 2139394691072 is an apocalyptic number.

139394691072 is a gapful number since it is divisible by the number (12) 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 139394691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270850814080).

139394691072 is an abundant number, since it is smaller than the sum of its proper divisors (402306937088).

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

139394691072 is an frugal number, since it uses more digits than its factorization.

139394691072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 139394691072 in words is "one hundred thirty-nine billion, three hundred ninety-four million, six hundred ninety-one thousand, seventy-two".