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14232716472 = 23313177933967
BaseRepresentation
bin11010100000101011…
…00000010010111000
31100201220100220120010
431100111200102320
5213122033411342
610312144301520
71012462044132
oct152025402270
940656326503
1014232716472
116043aa75a7
1229126118a0
13145a8ac730
14990374052
155847a129c
hex3505604b8

14232716472 has 128 divisors (see below), whose sum is σ = 41087692800. Its totient is φ = 4069398528.

The previous prime is 14232716471. The next prime is 14232716527. The reversal of 14232716472 is 27461723241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14232716472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14232716471) 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 31 ways as a sum of consecutive naturals, for example, 402033 + ... + 435999.

It is an arithmetic number, because the mean of its divisors is an integer number (320997600).

Almost surely, 214232716472 is an apocalyptic number.

14232716472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14232716472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543846400).

14232716472 is an abundant number, since it is smaller than the sum of its proper divisors (26854976328).

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

14232716472 is a wasteful number, since it uses less digits than its factorization.

14232716472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34085 (or 34081 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The spelling of 14232716472 in words is "fourteen billion, two hundred thirty-two million, seven hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 79 102 104 136 156 158 204 221 237 312 316 408 442 474 632 663 884 948 1027 1326 1343 1768 1896 2054 2652 2686 3081 4029 4108 5304 5372 6162 8058 8216 10744 12324 16116 17459 24648 32232 33967 34918 52377 67934 69836 101901 104754 135868 139672 203802 209508 271736 407604 419016 441571 577439 815208 883142 1154878 1324713 1732317 1766284 2309756 2649426 2683393 3464634 3532568 4619512 5298852 5366786 6929268 7506707 8050179 10597704 10733572 13858536 15013414 16100358 21467144 22520121 30026828 32200716 34884109 45040242 45617681 60053656 64401432 69768218 90080484 91235362 104652327 136853043 139536436 180160968 182470724 209304654 273706086 279072872 364941448 418609308 547412172 593029853 837218616 1094824344 1186059706 1779089559 2372119412 3558179118 4744238824 7116358236 14232716472