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14942324664 = 23368330869
BaseRepresentation
bin11011110101010000…
…11100011110111000
31102120100121202000000
431322220130132320
5221100213342124
610510413513000
71036166443521
oct157250343670
942510552000
1014942324664
116378609753
122a901a2760
131541904237
14a1a6cd848
155c6c206c9
hex37aa1c7b8

14942324664 has 112 divisors (see below), whose sum is σ = 42513546600. Its totient is φ = 4920606144.

The previous prime is 14942324659. The next prime is 14942324669. The reversal of 14942324664 is 46642324941.

14942324664 is a `hidden beast` number, since 149 + 42 + 3 + 2 + 466 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14942324659) and next prime (14942324669).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14942324669) 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 27 ways as a sum of consecutive naturals, for example, 468622 + ... + 499490.

Almost surely, 214942324664 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 14942324664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256773300).

14942324664 is an abundant number, since it is smaller than the sum of its proper divisors (27571221936).

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

14942324664 is an equidigital number, since it uses as much as digits as its factorization.

14942324664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30976 (or 30957 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 14942324664 in words is "fourteen billion, nine hundred forty-two million, three hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 729 747 972 996 1458 1494 1944 1992 2241 2916 2988 4482 5832 5976 6723 8964 13446 17928 20169 26892 30869 40338 53784 60507 61738 80676 92607 121014 123476 161352 185214 242028 246952 277821 370428 484056 555642 740856 833463 1111284 1666926 2222568 2500389 2562127 3333852 5000778 5124254 6667704 7501167 7686381 10001556 10248508 15002334 15372762 20003112 20497016 22503501 23059143 30004668 30745524 45007002 46118286 60009336 61491048 69177429 90014004 92236572 138354858 180028008 184473144 207532287 276709716 415064574 553419432 622596861 830129148 1245193722 1660258296 1867790583 2490387444 3735581166 4980774888 7471162332 14942324664