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14229323808 = 2537154313723
BaseRepresentation
bin11010100000010001…
…00100000000100000
31100201122222112200220
431100020210000200
5213120201330213
610311543443040
71012421154030
oct152010440040
940648875626
1014229323808
11604209a647
122911456480
131459c9243b
1498db2d8c0
15584330e23
hex350224020

14229323808 has 96 divisors (see below), whose sum is σ = 42718749696. Its totient is φ = 4062590208.

The previous prime is 14229323777. The next prime is 14229323813. The reversal of 14229323808 is 80832392241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14229323808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030035 + ... + 1043757.

It is an arithmetic number, because the mean of its divisors is an integer number (444986976).

Almost surely, 214229323808 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 14229323808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359374848).

14229323808 is an abundant number, since it is smaller than the sum of its proper divisors (28489425888).

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

14229323808 is a wasteful number, since it uses less digits than its factorization.

14229323808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15286 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 14229323808 in words is "fourteen billion, two hundred twenty-nine million, three hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1543 3086 4629 6172 9258 10801 12344 13723 18516 21602 24688 27446 32403 37032 41169 43204 49376 54892 64806 74064 82338 86408 96061 109784 129612 148128 164676 172816 192122 219568 259224 288183 329352 345632 384244 439136 518448 576366 658704 768488 1036896 1152732 1317408 1536976 2305464 3073952 4610928 9221856 21174589 42349178 63523767 84698356 127047534 148222123 169396712 254095068 296444246 338793424 444666369 508190136 592888492 677586848 889332738 1016380272 1185776984 1778665476 2032760544 2371553968 3557330952 4743107936 7114661904 14229323808