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139904856000 = 263253713131163
BaseRepresentation
bin1000001001001011111…
…0101010111111000000
3111101010012200001201100
42002102332222333000
54243011120343000
6144134342334400
713051654440360
oct2022276527700
9441105601640
10139904856000
115437370a038
1223145a2a400
1310267c5b880
146ab2b429a0
15398c6caa00
hex2092faafc0

139904856000 has 1344 divisors, whose sum is σ = 624464096256. Its totient is φ = 29113344000.

The previous prime is 139904855989. The next prime is 139904856017. The reversal of 139904856000 is 658409931.

It is a happy number.

139904856000 is a `hidden beast` number, since 1 + 39 + 9 + 0 + 4 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 858311919 + ... + 858312081.

It is an arithmetic number, because the mean of its divisors is an integer number (464631024).

Almost surely, 2139904856000 is an apocalyptic number.

139904856000 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 139904856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312232048128).

139904856000 is an abundant number, since it is smaller than the sum of its proper divisors (484559240256).

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

139904856000 is a wasteful number, since it uses less digits than its factorization.

139904856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 139904856000 in words is "one hundred thirty-nine billion, nine hundred four million, eight hundred fifty-six thousand".