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14013422964 = 22324191910331
BaseRepresentation
bin11010000110100001…
…11101110101110100
31100011121201122102100
431003100331311310
5212144414013324
610234312142100
71004160062352
oct150320756564
940147648370
1014013422964
115a412370a2
122871097930
13142432b768
1496d1ac7d2
155703d54c9
hex34343dd74

14013422964 has 72 divisors (see below), whose sum is σ = 36329791680. Its totient is φ = 4551811200.

The previous prime is 14013422959. The next prime is 14013422977. The reversal of 14013422964 is 46922431041.

14013422964 is a `hidden beast` number, since 140 + 1 + 3 + 422 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351279 + ... + 1361609.

It is an arithmetic number, because the mean of its divisors is an integer number (504580440).

Almost surely, 214013422964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013422964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164895840).

14013422964 is an abundant number, since it is smaller than the sum of its proper divisors (22316368716).

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

14013422964 is a wasteful number, since it uses less digits than its factorization.

14013422964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14013422964 in words is "fourteen billion, thirteen million, four hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 919 1476 1838 2757 3676 5514 8271 10331 11028 16542 20662 30993 33084 37679 41324 61986 75358 92979 113037 123972 150716 185958 226074 339111 371916 423571 452148 678222 847142 1270713 1356444 1694284 2541426 3812139 5082852 7624278 9494189 15248556 18988378 28482567 37976756 56965134 85447701 113930268 170895402 341790804 389261749 778523498 1167785247 1557046996 2335570494 3503355741 4671140988 7006711482 14013422964