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3931330014 = 23219531072027
BaseRepresentation
bin1110101001010011…
…0101010111011110
3101010222111020221100
43222110311113132
531022410030024
61450034013530
7166264516353
oct35224652736
911128436840
103931330014
111738151477
129187172a6
134a862a3a1
1429419a62a
1518020d7c9
hexea5355de

3931330014 has 96 divisors (see below), whose sum is σ = 9225290880. Its totient is φ = 1206069696.

The previous prime is 3931329991. The next prime is 3931330021. The reversal of 3931330014 is 4100331393.

3931330014 is a `hidden beast` number, since 39 + 313 + 300 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3931330014.

It is a congruent number.

It is an unprimeable number.

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, 1938469 + ... + 1940495.

It is an arithmetic number, because the mean of its divisors is an integer number (96096780).

Almost surely, 23931330014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3931330014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612645440).

3931330014 is an abundant number, since it is smaller than the sum of its proper divisors (5293960866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3931330014 is a wasteful number, since it uses less digits than its factorization.

3931330014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3931330014 is about 62700.3190900971. The cubic root of 3931330014 is about 1578.2646671586.

The spelling of 3931330014 in words is "three billion, nine hundred thirty-one million, three hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 107 114 159 171 214 318 321 342 477 642 954 963 1007 1926 2014 2027 2033 3021 4054 4066 5671 6042 6081 6099 9063 11342 12162 12198 17013 18126 18243 18297 34026 36486 36594 38513 51039 77026 102078 107431 107749 115539 214862 215498 216889 231078 322293 323247 346617 433778 644586 646494 650667 693234 966879 969741 1301334 1933758 1939482 1952001 2041189 3904002 4082378 4120891 6123567 8241782 11495117 12247134 12362673 18370701 22990234 24725346 34485351 36741402 37088019 68970702 74176038 103456053 206912106 218407223 436814446 655221669 1310443338 1965665007 3931330014