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14040524928 = 2732910312241
BaseRepresentation
bin11010001001110000…
…10110100010000000
31100020111201120022210
431010320112202000
5212223333244203
610241121102120
71004636331003
oct150470264200
940214646283
1014040524928
115a55568211
12287a187940
131429b2a621
14972a2553a
1557298a803
hex344e16880

14040524928 has 128 divisors (see below), whose sum is σ = 38958940800. Its totient is φ = 4474552320.

The previous prime is 14040524909. The next prime is 14040525017. The reversal of 14040524928 is 82942504041.

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

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, 1140888 + ... + 1153128.

It is an arithmetic number, because the mean of its divisors is an integer number (304366725).

Almost surely, 214040524928 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 14040524928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479470400).

14040524928 is an abundant number, since it is smaller than the sum of its proper divisors (24918415872).

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

14040524928 is a wasteful number, since it uses less digits than its factorization.

14040524928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12390 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 14040524928 in words is "fourteen billion, forty million, five hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 103 116 128 174 192 206 232 309 348 384 412 464 618 696 824 928 1236 1392 1648 1856 2472 2784 2987 3296 3712 4944 5568 5974 6592 8961 9888 11136 11948 12241 13184 17922 19776 23896 24482 35844 36723 39552 47792 48964 71688 73446 95584 97928 143376 146892 191168 195856 286752 293784 354989 382336 391712 573504 587568 709978 783424 1064967 1147008 1175136 1260823 1419956 1566848 2129934 2350272 2521646 2839912 3782469 4259868 4700544 5043292 5679824 7564938 8519736 10086584 11359648 15129876 17039472 20173168 22719296 30259752 34078944 36563867 40346336 45438592 60519504 68157888 73127734 80692672 109691601 121039008 136315776 146255468 161385344 219383202 242078016 292510936 438766404 484156032 585021872 877532808 1170043744 1755065616 2340087488 3510131232 4680174976 7020262464 14040524928