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139835707538931 = 32101166619233219
BaseRepresentation
bin11111110010111000001001…
…101011001011110111110011
3200100010011101212222202222200
4133302320021223023313303
5121312032012112221211
61213223345345234243
741311540122306105
oct3762701153136763
9610104355882880
10139835707538931
1140612a9943a5a8
121382511b632983
1360045b2093bb1
142676127693575
1511276aaca8b56
hex7f2e09acbdf3

139835707538931 has 24 divisors (see below), whose sum is σ = 203997026834640. Its totient is φ = 92295247128000.

The previous prime is 139835707538909. The next prime is 139835707538941.

139835707538931 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 3 + 57 + 0 + 7 + 538 + 9 + 31 = 666.

139835707538931 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 139835707538931 - 29 = 139835707538419 is a prime.

It is a super-2 number, since 2×1398357075389312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 139835707538931.

It is not an unprimeable number, because it can be changed into a prime (139835707538941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10528240 + ... + 19761458.

It is an arithmetic number, because the mean of its divisors is an integer number (8499876118110).

Almost surely, 2139835707538931 is an apocalyptic number.

139835707538931 is a deficient number, since it is larger than the sum of its proper divisors (64161319295709).

139835707538931 is a wasteful number, since it uses less digits than its factorization.

139835707538931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249987 (or 9249984 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 139835707538931 in words is "one hundred thirty-nine trillion, eight hundred thirty-five billion, seven hundred seven million, five hundred thirty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 9 101 303 909 16661 49983 149949 1682761 5048283 9233219 15144849 27699657 83098971 932555119 2797665357 8392996071 153834661759 461503985277 1384511955831 15537300837659 46611902512977 139835707538931