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14144259012 = 223131712834157
BaseRepresentation
bin11010010110001000…
…00100001111000100
31100111201220210201220
431023010010033010
5212431412242022
610255304320340
71010336134512
oct151304041704
940451823656
1014144259012
115aa907a164
1228a8a730b0
13144547a940
149827094b2
1557bb2b85c
hex34b1043c4

14144259012 has 96 divisors (see below), whose sum is σ = 37671080832. Its totient is φ = 4091897856.

The previous prime is 14144258941. The next prime is 14144259043. The reversal of 14144259012 is 21095244141.

It is a super-2 number, since 2×141442590122 (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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3400438 + ... + 3404594.

It is an arithmetic number, because the mean of its divisors is an integer number (392407092).

Almost surely, 214144259012 is an apocalyptic number.

14144259012 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 14144259012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835540416).

14144259012 is an abundant number, since it is smaller than the sum of its proper divisors (23526821820).

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

14144259012 is a wasteful number, since it uses less digits than its factorization.

14144259012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 14144259012 in words is "fourteen billion, one hundred forty-four million, two hundred fifty-nine thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1283 1326 2566 2652 3849 4157 5132 7698 8314 12471 15396 16628 16679 21811 24942 33358 43622 49884 50037 54041 65433 66716 70669 87244 100074 108082 130866 141338 162123 200148 212007 216164 261732 282676 283543 324246 424014 567086 648492 848028 850629 918697 1134172 1701258 1837394 2756091 3402516 3674788 5333431 5512182 10666862 11024364 16000293 21333724 32000586 64001172 69334603 90668327 138669206 181336654 208003809 272004981 277338412 362673308 416007618 544009962 832015236 1088019924 1178688251 2357376502 3536064753 4714753004 7072129506 14144259012