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14311242432 = 263337223837
BaseRepresentation
bin11010101010000010…
…00011101011000000
31100221101010102221000
431111001003223000
5213302134224212
610324031332000
71014434360604
oct152501035300
940841112830
1014311242432
116084361293
122934981000
131470c44bb6
1499a975504
1558b6131dc
hex355043ac0

14311242432 has 112 divisors (see below), whose sum is σ = 43209687520. Its totient is φ = 4641463296.

The previous prime is 14311242431. The next prime is 14311242457. The reversal of 14311242432 is 23424211341.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 14311242396 and 14311242405.

It is not an unprimeable number, because it can be changed into a prime (14311242431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47983 + ... + 175854.

Almost surely, 214311242432 is an apocalyptic number.

14311242432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14311242432 is an abundant number, since it is smaller than the sum of its proper divisors (28898445088).

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

14311242432 is a wasteful number, since it uses less digits than its factorization.

14311242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223895 (or 223879 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14311242432 its reverse (23424211341), we get a palindrome (37735453773).

The spelling of 14311242432 in words is "fourteen billion, three hundred eleven million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 21312 31968 63936 223837 447674 671511 895348 1343022 1790696 2014533 2686044 3581392 4029066 5372088 6043599 7162784 8058132 8281969 10744176 12087198 14325568 16116264 16563938 21488352 24174396 24845907 32232528 33127876 42976704 48348792 49691814 64465056 66255752 74537721 96697584 99383628 128930112 132511504 149075442 193395168 198767256 223613163 265023008 298150884 386790336 397534512 447226326 530046016 596301768 795069024 894452652 1192603536 1590138048 1788905304 2385207072 3577810608 4770414144 7155621216 14311242432