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14357191332 = 22311478872609
BaseRepresentation
bin11010101111100000…
…10101101010100100
31101001120120212222010
431113300111222210
5213400420110312
610332352234220
71015533053451
oct152760255244
941046525863
1014357191332
1160a8295390
12294823b970
13147a6123b3
149a2ad6828
1559068c93c
hex357c15aa4

14357191332 has 96 divisors (see below), whose sum is σ = 37379543040. Its totient is φ = 4251665920.

The previous prime is 14357191313. The next prime is 14357191349. The reversal of 14357191332 is 23319175341.

14357191332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143571913322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5501644 + ... + 5504252.

It is an arithmetic number, because the mean of its divisors is an integer number (389370240).

Almost surely, 214357191332 is an apocalyptic number.

14357191332 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 14357191332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18689771520).

14357191332 is an abundant number, since it is smaller than the sum of its proper divisors (23022351708).

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

14357191332 is a wasteful number, since it uses less digits than its factorization.

14357191332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3559 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The spelling of 14357191332 in words is "fourteen billion, three hundred fifty-seven million, one hundred ninety-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 887 1034 1551 1774 2068 2609 2661 3102 3548 5218 5322 6204 7827 9757 10436 10644 15654 19514 28699 29271 31308 39028 41689 57398 58542 83378 86097 114796 117084 122623 125067 166756 172194 245246 250134 344388 367869 458579 490492 500268 735738 917158 1348853 1375737 1471476 1834316 2314183 2697706 2751474 4046559 4628366 5395412 5502948 6942549 8093118 9256732 13885098 16186236 25456013 27770196 50912026 76368039 101824052 108766601 152736078 217533202 305472156 326299803 435066404 652599606 1196432611 1305199212 2392865222 3589297833 4785730444 7178595666 14357191332