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14039796624 = 2437413313079
BaseRepresentation
bin11010001001101011…
…00100101110010000
31100020110100120021120
431010311210232100
5212223141442444
610241053322240
71004630205450
oct150465445620
940213316246
1014039796624
115a55110007
122879a96380
131429933c89
149728b5d60
15572894b19
hex344d64b90

14039796624 has 160 divisors (see below), whose sum is σ = 42603939840. Its totient is φ = 3900441600.

The previous prime is 14039796611. The next prime is 14039796637. The reversal of 14039796624 is 42669793041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14039796611) and next prime (14039796637).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4558317 + ... + 4561395.

It is an arithmetic number, because the mean of its divisors is an integer number (266274624).

Almost surely, 214039796624 is an apocalyptic number.

14039796624 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 14039796624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301969920).

14039796624 is an abundant number, since it is smaller than the sum of its proper divisors (28564143216).

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

14039796624 is a wasteful number, since it uses less digits than its factorization.

14039796624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 14039796624 in words is "fourteen billion, thirty-nine million, seven hundred ninety-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 331 336 492 574 656 662 861 984 993 1148 1324 1722 1968 1986 2296 2317 2648 3079 3444 3972 4592 4634 5296 6158 6888 6951 7944 9237 9268 12316 13571 13776 13902 15888 18474 18536 21553 24632 27142 27804 36948 37072 40713 43106 49264 54284 55608 64659 73896 81426 86212 94997 108568 111216 126239 129318 147792 162852 172424 189994 217136 252478 258636 284991 325704 344848 378717 379988 504956 517272 569982 651408 757434 759976 883673 1009912 1019149 1034544 1139964 1514868 1519952 1767346 2019824 2038298 2279928 2651019 3029736 3057447 3534692 4076596 4559856 5302038 6059472 6114894 7069384 7134043 8153192 10604076 12229788 14138768 14268086 16306384 21208152 21402129 24459576 28536172 41785109 42416304 42804258 48919152 57072344 83570218 85608516 114144688 125355327 167140436 171217032 250710654 292495763 334280872 342434064 501421308 584991526 668561744 877487289 1002842616 1169983052 1754974578 2005685232 2339966104 3509949156 4679932208 7019898312 14039796624