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13999602204 = 223271710331727
BaseRepresentation
bin11010000100111000…
…01111101000011100
31100010122201110220100
431002130033220130
5212132344232304
610233100021100
71003631440530
oct150234175034
940118643810
1013999602204
115a34457385
122868531790
1314214ccab3
1496b411bc0
1556e0a5439
hex34270fa1c

13999602204 has 144 divisors (see below), whose sum is σ = 43239426048. Its totient is φ = 3727931904.

The previous prime is 13999602203. The next prime is 13999602209. The reversal of 13999602204 is 40220699931.

It is a happy number.

13999602204 is a `hidden beast` number, since 1 + 39 + 9 + 9 + 602 + 2 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13999602204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13999602203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425389 + ... + 457115.

It is an arithmetic number, because the mean of its divisors is an integer number (300273792).

Almost surely, 213999602204 is an apocalyptic number.

13999602204 is a gapful number since it is divisible by the number (14) 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 13999602204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21619713024).

13999602204 is an abundant number, since it is smaller than the sum of its proper divisors (29239823844).

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

13999602204 is a wasteful number, since it uses less digits than its factorization.

13999602204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31864 (or 31859 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13999602204 in words is "thirteen billion, nine hundred ninety-nine million, six hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 103 119 126 153 204 206 238 252 306 309 357 412 476 612 618 714 721 927 1071 1236 1428 1442 1751 1854 2142 2163 2884 3502 3708 4284 4326 5253 6489 7004 8652 10506 12257 12978 15759 21012 24514 25956 31518 31727 36771 49028 63036 63454 73542 95181 110313 126908 147084 190362 220626 222089 285543 380724 441252 444178 539359 571086 666267 888356 1078718 1142172 1332534 1618077 1998801 2157436 2665068 3236154 3267881 3775513 3997602 4854231 6472308 6535762 7551026 7995204 9708462 9803643 11326539 13071524 15102052 19416924 19607286 22653078 22875167 29410929 33979617 39214572 45306156 45750334 55553977 58821858 67959234 68625501 91500668 111107954 117643716 135918468 137251002 166661931 205876503 222215908 274502004 333323862 388877839 411753006 499985793 666647724 777755678 823506012 999971586 1166633517 1555511356 1999943172 2333267034 3499900551 4666534068 6999801102 13999602204