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14340896724 = 223711128312097
BaseRepresentation
bin11010101101100100…
…01011011111010100
31101000102221000222010
431112302023133110
5213332232143344
610331011104220
71015244416350
oct152662133724
941012830863
1014340896724
11609a075a70
1229428a2070
13147712870b
149a0894460
1558e01e8b9
hex356c8b7d4

14340896724 has 96 divisors (see below), whose sum is σ = 41754940416. Its totient is φ = 3721697280.

The previous prime is 14340896677. The next prime is 14340896747. The reversal of 14340896724 is 42769804341.

It is a super-2 number, since 2×143408967242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179444 + ... + 1191540.

It is an arithmetic number, because the mean of its divisors is an integer number (434947296).

Almost surely, 214340896724 is an apocalyptic number.

14340896724 is a gapful number since it is divisible by the number (14) 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 14340896724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20877470208).

14340896724 is an abundant number, since it is smaller than the sum of its proper divisors (27414043692).

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

14340896724 is a wasteful number, since it uses less digits than its factorization.

14340896724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13403 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 14340896724 in words is "fourteen billion, three hundred forty million, eight hundred ninety-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1283 2566 3849 5132 7698 8981 12097 14113 15396 17962 24194 26943 28226 35924 36291 42339 48388 53886 56452 72582 84678 84679 98791 107772 133067 145164 169356 169358 197582 254037 266134 296373 338716 395164 399201 508074 532268 592746 798402 931469 1016148 1185492 1596804 1862938 2794407 3725876 5588814 11177628 15520451 31040902 46561353 62081804 93122706 108643157 170724961 186245412 217286314 325929471 341449922 434572628 512174883 651858942 682899844 1024349766 1195074727 1303717884 2048699532 2390149454 3585224181 4780298908 7170448362 14340896724