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39354004131 = 3137340933797
BaseRepresentation
bin100100101001101011…
…100111001010100011
310202120122111112202120
4210221223213022203
51121044111113011
630025020515323
72562141341631
oct445153471243
9122518445676
1039354004131
1115765344862
1277636abb43
1339322a0ca0
141c94890351
151054e30a06
hex929ae72a3

39354004131 has 32 divisors (see below), whose sum is σ = 57424153920. Its totient is φ = 23826991104.

The previous prime is 39354004007. The next prime is 39354004153. The reversal of 39354004131 is 13140045393.

It is a happy number.

39354004131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-39354004131 is a prime.

It is a super-2 number, since 2×393540041312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39354004092 and 39354004101.

It is not an unprimeable number, because it can be changed into a prime (39354004171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147525 + ... + 1181321.

It is an arithmetic number, because the mean of its divisors is an integer number (1794504810).

Almost surely, 239354004131 is an apocalyptic number.

39354004131 is a deficient number, since it is larger than the sum of its proper divisors (18070149789).

39354004131 is a wasteful number, since it uses less digits than its factorization.

39354004131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34295.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 39354004131 in words is "thirty-nine billion, three hundred fifty-four million, four thousand, one hundred thirty-one".

Divisors: 1 3 13 39 73 219 409 949 1227 2847 5317 15951 29857 33797 89571 101391 388141 439361 1164423 1318083 2467181 7401543 13822973 32073353 41468919 96220059 179698649 539095947 1009077029 3027231087 13118001377 39354004131