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139314069504 = 218312
BaseRepresentation
bin1000000110111111000…
…1000000000000000000
3111022121001000000000000
42001233301000000000
54240303400211004
6144000000000000
713031222023641
oct2015761000000
9438531000000
10139314069504
11540a0184435
1223000000000
13101a273a86c
146a584b76c8
1539558ccc39
hex206fc40000

139314069504 has 247 divisors, whose sum is σ = 417941149207. Its totient is φ = 46438023168.

The previous prime is 139314069491. The next prime is 139314069577. The reversal of 139314069504 is 405960413931.

The square root of 139314069504 is 373248.

The cubic root of 139314069504 is 5184.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (3!)9.

139314069504 is a `hidden beast` number, since 13 + 9 + 31 + 40 + 69 + 504 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=432.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 139314069504.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 46438023167 + 46438023168 + 46438023169.

Almost surely, 2139314069504 is an apocalyptic number.

139314069504 is a droll number since its even prime factors and its odd prime factors have the same sum.

139314069504 is the 373248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139314069504

139314069504 is an abundant number, since it is smaller than the sum of its proper divisors (278627079703).

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

139314069504 is an frugal number, since it uses more digits than its factorization.

139314069504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 139314069504 in words is "one hundred thirty-nine billion, three hundred fourteen million, sixty-nine thousand, five hundred four".