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34231313613 = 3723149115299
BaseRepresentation
bin11111111000010110…
…000110010011001101
310021100122020220110010
4133320112012103031
51030101204013423
623420423503433
72321166236100
oct377026062315
9107318226403
1034231313613
1113576758632
126773bb7b79
1332c6bb5973
14192a3b2737
15d55341693
hex7f85864cd

34231313613 has 48 divisors (see below), whose sum is σ = 54921369600. Its totient is φ = 18889970400.

The previous prime is 34231313581. The next prime is 34231313621. The reversal of 34231313613 is 31631313243.

It is not a de Polignac number, because 34231313613 - 25 = 34231313581 is a prime.

It is a super-2 number, since 2×342313136132 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231313213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229838 + ... + 2245136.

It is an arithmetic number, because the mean of its divisors is an integer number (1144195200).

Almost surely, 234231313613 is an apocalyptic number.

It is an amenable number.

34231313613 is a deficient number, since it is larger than the sum of its proper divisors (20690055987).

34231313613 is a wasteful number, since it uses less digits than its factorization.

34231313613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15831 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 34231313613 its reverse (31631313243), we get a palindrome (65862626856).

The spelling of 34231313613 in words is "thirty-four billion, two hundred thirty-one million, three hundred thirteen thousand, six hundred thirteen".

Divisors: 1 3 7 21 31 49 93 147 217 491 651 1473 1519 3437 4557 10311 15221 15299 24059 45663 45897 72177 106547 107093 319641 321279 474269 745829 749651 1422807 2237487 2248953 3319883 7511809 9959649 22535427 23239181 52582663 69717543 157747989 232866079 368078641 698598237 1104235923 1630062553 4890187659 11410437871 34231313613