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14137344 = 211321359
BaseRepresentation
bin110101111011…
…100000000000
3222121020210100
4311323200000
512104343334
61223002400
7231110514
oct65734000
928536710
1014137344
117a86661
124899400
132c0cac0
141c40144
151393c99
hexd7b800

14137344 has 144 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 4276224.

The previous prime is 14137339. The next prime is 14137351. The reversal of 14137344 is 44373141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239587 + ... + 239645.

Almost surely, 214137344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).

14137344 is an abundant number, since it is smaller than the sum of its proper divisors (30580056).

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

14137344 is a wasteful number, since it uses less digits than its factorization.

14137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 14137344 is about 3759.9659572927. The cubic root of 14137344 is about 241.7998025559.

The spelling of 14137344 in words is "fourteen million, one hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 64 72 78 96 104 117 118 128 144 156 177 192 208 234 236 256 288 312 354 384 416 468 472 512 531 576 624 708 767 768 832 936 944 1024 1062 1152 1248 1416 1534 1536 1664 1872 1888 2048 2124 2301 2304 2496 2832 3068 3072 3328 3744 3776 4248 4602 4608 4992 5664 6136 6144 6656 6903 7488 7552 8496 9204 9216 9984 11328 12272 13312 13806 14976 15104 16992 18408 18432 19968 22656 24544 26624 27612 29952 30208 33984 36816 39936 45312 49088 55224 59904 60416 67968 73632 79872 90624 98176 110448 119808 120832 135936 147264 181248 196352 220896 239616 271872 294528 362496 392704 441792 543744 589056 785408 883584 1087488 1178112 1570816 1767168 2356224 3534336 4712448 7068672 14137344