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14200712604 = 223213411494967
BaseRepresentation
bin11010011100110110…
…11010110110011100
31100122200010221111200
431032123122312130
5213040340300404
610305042315500
71011623031321
oct151633326634
940580127450
1014200712604
116027a28621
122903958b90
131454085630
1498a002b48
15581a7d839
hex34e6dad9c

14200712604 has 144 divisors (see below), whose sum is σ = 39874161600. Its totient is φ = 4233415680.

The previous prime is 14200712597. The next prime is 14200712653. The reversal of 14200712604 is 40621700241.

14200712604 is a `hidden beast` number, since 1 + 42 + 0 + 0 + 7 + 12 + 604 = 666.

It is a super-2 number, since 2×142007126042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856529 + ... + 2861495.

It is an arithmetic number, because the mean of its divisors is an integer number (276903900).

Almost surely, 214200712604 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 14200712604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937080800).

14200712604 is an abundant number, since it is smaller than the sum of its proper divisors (25673448996).

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

14200712604 is a wasteful number, since it uses less digits than its factorization.

14200712604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14200712604 in words is "fourteen billion, two hundred million, seven hundred twelve thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 149 156 164 234 246 298 369 447 468 492 533 596 738 894 1066 1341 1476 1599 1788 1937 2132 2682 3198 3874 4797 4967 5364 5811 6109 6396 7748 9594 9934 11622 12218 14901 17433 18327 19188 19868 23244 24436 29802 34866 36654 44703 54981 59604 64571 69732 73308 79417 89406 109962 129142 158834 178812 193713 203647 219924 238251 258284 317668 387426 407294 476502 581139 610941 714753 740083 774852 814588 953004 1162278 1221882 1429506 1480166 1832823 2220249 2324556 2443764 2647411 2859012 2960332 3665646 4440498 5294822 6660747 7331292 7942233 8880996 9621079 10589644 13321494 15884466 19242158 23826699 26642988 28863237 30343403 31768932 38484316 47653398 57726474 60686806 86589711 91030209 95306796 115452948 121373612 173179422 182060418 273090627 346358844 364120836 394464239 546181254 788928478 1092362508 1183392717 1577856956 2366785434 3550178151 4733570868 7100356302 14200712604