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13399402302 = 232112134710069
BaseRepresentation
bin11000111101010101…
…01010011100111110
31021120211100011102100
430132222222130332
5204420221333202
610053335405530
7653023016556
oct143652523476
937524304370
1013399402302
115756682300
12271b5238a6
131357064220
14911816166
1553654841c
hex31eaaa73e

13399402302 has 144 divisors (see below), whose sum is σ = 35100636480. Its totient is φ = 3667973760.

The previous prime is 13399402279. The next prime is 13399402327. The reversal of 13399402302 is 20320499331.

13399402302 is a `hidden beast` number, since 1 + 339 + 94 + 0 + 230 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1325724 + ... + 1335792.

It is an arithmetic number, because the mean of its divisors is an integer number (243754420).

Almost surely, 213399402302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13399402302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550318240).

13399402302 is an abundant number, since it is smaller than the sum of its proper divisors (21701234178).

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

13399402302 is a wasteful number, since it uses less digits than its factorization.

13399402302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13399402302 in words is "thirteen billion, three hundred ninety-nine million, four hundred two thousand, three hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 47 66 78 94 99 117 121 141 143 198 234 242 282 286 363 423 429 517 611 726 846 858 1034 1089 1222 1287 1551 1573 1833 2178 2574 3102 3146 3666 4653 4719 5499 5687 6721 9306 9438 10069 10998 11374 13442 14157 17061 20138 20163 28314 30207 34122 40326 51183 60414 60489 73931 90621 102366 110759 120978 130897 147862 181242 221518 221793 261794 332277 392691 443586 473243 664554 665379 785382 946486 996831 1178073 1218349 1330758 1419729 1439867 1993662 2356146 2436698 2839458 2879734 3655047 4259187 4319601 5205673 6152159 7310094 8518374 8639202 10411346 10965141 12304318 12958803 15617019 15838537 18456477 21930282 25917606 31234038 31677074 36912954 46851057 47515611 55369431 57262403 67673749 93702114 95031222 110738862 114524806 135347498 142546833 171787209 203021247 285093666 343574418 406042494 515361627 609063741 744411239 1030723254 1218127482 1488822478 2233233717 4466467434 6699701151 13399402302