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13114242204 = 22372178914741
BaseRepresentation
bin11000011011010101…
…10111010010011100
31020211221202112022020
430031222313102130
5203324221222304
610005151420140
7642661135200
oct141552672234
936757675266
1013114242204
11561a7142a8
12265bb24650
13130cc60c3b
148c59c6b00
1551b4bb5d9
hex30dab749c

13114242204 has 144 divisors (see below), whose sum is σ = 38115735840. Its totient is φ = 3486658560.

The previous prime is 13114242179. The next prime is 13114242209. The reversal of 13114242204 is 40224241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114242209) 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, 882274 + ... + 897014.

It is an arithmetic number, because the mean of its divisors is an integer number (264692610).

Almost surely, 213114242204 is an apocalyptic number.

13114242204 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 13114242204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057867920).

13114242204 is an abundant number, since it is smaller than the sum of its proper divisors (25001493636).

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

13114242204 is a wasteful number, since it uses less digits than its factorization.

13114242204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14868 (or 14859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13114242204 its reverse (40224241131), we get a palindrome (53338483335).

The spelling of 13114242204 in words is "thirteen billion, one hundred fourteen million, two hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 89 98 102 119 147 178 196 204 238 267 294 356 357 476 534 588 623 714 833 1068 1246 1428 1513 1666 1869 2492 2499 3026 3332 3738 4361 4539 4998 6052 7476 8722 9078 9996 10591 13083 14741 17444 18156 21182 26166 29482 31773 42364 44223 52332 58964 63546 74137 88446 103187 127092 148274 176892 206374 222411 250597 296548 309561 412748 444822 501194 619122 722309 751791 889644 1002388 1238244 1311949 1444618 1503582 1754179 2166927 2623898 2889236 3007164 3508358 3935847 4333854 5247796 5262537 7016716 7871694 8667708 9183643 10525074 12279253 15743388 18367286 21050148 22303133 24558506 27550929 36734572 36837759 44606266 49117012 55101858 64285501 66909399 73675518 89212532 110203716 128571002 133818798 147351036 156121931 192856503 257142004 267637596 312243862 385713006 468365793 624487724 771426012 936731586 1092853517 1873463172 2185707034 3278560551 4371414068 6557121102 13114242204