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14031992448 = 273338310601
BaseRepresentation
bin11010001000101111…
…10011011010000000
31100012220200001222000
431010113303122000
5212214142224243
610240214144000
71004503652655
oct150427633200
940186601860
1014031992448
115a5076a681
122877352000
131428130a16
14971843c2c
15571d525d3
hex3445f3680

14031992448 has 128 divisors (see below), whose sum is σ = 41525913600. Its totient is φ = 4664678400.

The previous prime is 14031992413. The next prime is 14031992473. The reversal of 14031992448 is 84429913041.

14031992448 is a `hidden beast` number, since 14 + 0 + 3 + 199 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1318348 + ... + 1328948.

It is an arithmetic number, because the mean of its divisors is an integer number (324421200).

Almost surely, 214031992448 is an apocalyptic number.

14031992448 is a gapful number since it is divisible by the number (18) 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 14031992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20762956800).

14031992448 is an abundant number, since it is smaller than the sum of its proper divisors (27493921152).

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

14031992448 is a wasteful number, since it uses less digits than its factorization.

14031992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14031992448 in words is "fourteen billion, thirty-one million, nine hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 383 384 432 576 766 864 1149 1152 1532 1728 2298 3064 3447 3456 4596 6128 6894 9192 10341 10601 12256 13788 18384 20682 21202 24512 27576 31803 36768 41364 42404 49024 55152 63606 73536 82728 84808 95409 110304 127212 147072 165456 169616 190818 220608 254424 286227 330912 339232 381636 441216 508848 572454 661824 678464 763272 1017696 1144908 1323648 1356928 1526544 2035392 2289816 3053088 4060183 4070784 4579632 6106176 8120366 9159264 12180549 12212352 16240732 18318528 24361098 32481464 36541647 36637056 48722196 64962928 73083294 97444392 109624941 129925856 146166588 194888784 219249882 259851712 292333176 389777568 438499764 519703424 584666352 779555136 876999528 1169332704 1559110272 1753999056 2338665408 3507998112 4677330816 7015996224 14031992448