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13921412931 = 32173359877
BaseRepresentation
bin11001111011100011…
…11110011101000011
31022221012121001101100
430331301332131003
5212002340203211
610221224105443
71001662025466
oct147561763503
938835531340
1013921412931
1159a4302648
122846305283
13140b25495a
14960c9b2dd
155672ad156
hex33dc7e743

13921412931 has 48 divisors (see below), whose sum is σ = 21449188800. Its totient is φ = 8700740352.

The previous prime is 13921412899. The next prime is 13921412963.

It is a happy number.

13921412931 is a `hidden beast` number, since 139 + 21 + 412 + 93 + 1 = 666.

13921412931 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13921412899) and next prime (13921412963).

It is not a de Polignac number, because 13921412931 - 25 = 13921412899 is a prime.

It is a super-2 number, since 2×139214129312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13921412971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15873465 + ... + 15874341.

It is an arithmetic number, because the mean of its divisors is an integer number (446858100).

Almost surely, 213921412931 is an apocalyptic number.

13921412931 is a deficient number, since it is larger than the sum of its proper divisors (7527775869).

13921412931 is an equidigital number, since it uses as much as digits as its factorization.

13921412931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1256 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 13921412931 in words is "thirteen billion, nine hundred twenty-one million, four hundred twelve thousand, nine hundred thirty-one".

Divisors: 1 3 9 17 51 153 289 359 867 877 1077 2601 2631 3231 4913 6103 7893 14739 14909 18309 44217 44727 54927 103751 134181 253453 311253 314843 760359 933759 944529 1763767 2281077 2833587 4308701 5291301 5352331 12926103 15873903 16056993 38778309 48170979 90989627 272968881 818906643 1546823659 4640470977 13921412931