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14242936032 = 2532132292631
BaseRepresentation
bin11010100001111000…
…11111010011100000
31100202121121010011100
431100330133103200
5213132142423112
610313151314400
71012644646563
oct152074372340
940677533140
1014242936032
116049847716
122915b1ba00
13145ca4a200
149918744da
1558561e2dc
hex350f1f4e0

14242936032 has 108 divisors (see below), whose sum is σ = 43858806264. Its totient is φ = 4382426880.

The previous prime is 14242936031. The next prime is 14242936033. The reversal of 14242936032 is 23063924241.

14242936032 is a `hidden beast` number, since 1 + 4 + 2 + 42 + 9 + 3 + 603 + 2 = 666.

14242936032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14242936031) and next prime (14242936033).

It is a super-2 number, since 2×142429360322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242936031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97644 + ... + 194987.

It is an arithmetic number, because the mean of its divisors is an integer number (406100058).

Almost surely, 214242936032 is an apocalyptic number.

14242936032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14242936032 is an abundant number, since it is smaller than the sum of its proper divisors (29615870232).

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

14242936032 is a wasteful number, since it uses less digits than its factorization.

14242936032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292673 (or 292649 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 14242936032 in words is "fourteen billion, two hundred forty-two million, nine hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 292631 585262 877893 1170524 1755786 2341048 2633679 3511572 3804203 4682096 5267358 7023144 7608406 9364192 10534716 11412609 14046288 15216812 21069432 22825218 28092576 30433624 34237827 42138864 45650436 49454639 60867248 68475654 84277728 91300872 98909278 121734496 136951308 148363917 182601744 197818556 273902616 296727834 365203488 395637112 445091751 547805232 593455668 791274224 890183502 1095610464 1186911336 1582548448 1780367004 2373822672 3560734008 4747645344 7121468016 14242936032