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13939493931 = 331159297139
BaseRepresentation
bin11001111101101101…
…11100110000101011
31022222110121122212000
430332312330300223
5212022002301211
610223111422043
71002301512666
oct147666746053
938873548760
1013939493931
115a03532120
122850384923
131411c1577c
149634466dd
15568b80656
hex33edbcc2b

13939493931 has 96 divisors (see below), whose sum is σ = 23319609600. Its totient is φ = 8160238080.

The previous prime is 13939493929. The next prime is 13939493933.

13939493931 is a `hidden beast` number, since 1 + 39 + 39 + 493 + 93 + 1 = 666.

13939493931 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13939493929) and next prime (13939493933).

It is not a de Polignac number, because 13939493931 - 21 = 13939493929 is a prime.

It is a super-2 number, since 2×139394939312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13939493933) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100284060 + ... + 100284198.

It is an arithmetic number, because the mean of its divisors is an integer number (242912600).

Almost surely, 213939493931 is an apocalyptic number.

13939493931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13939493931 is a deficient number, since it is larger than the sum of its proper divisors (9380115669).

13939493931 is a wasteful number, since it uses less digits than its factorization.

13939493931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 309 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The spelling of 13939493931 in words is "thirteen billion, nine hundred thirty-nine million, four hundred ninety-three thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 27 33 59 97 99 139 177 291 297 417 531 649 873 1067 1251 1529 1593 1947 2619 3201 3481 3753 4587 5723 5841 8201 9603 10443 13483 13761 17169 17523 24603 28809 31329 38291 40449 41283 51507 62953 73809 90211 93987 114873 121347 148313 154521 188859 221427 270633 337657 344619 364041 444939 483859 566577 795497 811899 1012971 1033857 1334817 1451577 1699731 2386491 2435697 3038913 3714227 4004451 4354731 5322449 7159473 8750467 9116739 11142681 13064193 15967347 21478419 26251401 33428043 46934323 47902041 78754203 100284129 140802969 143706123 236262609 422408907 516277553 1267226721 1548832659 4646497977 13939493931