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14102040204 = 22327675231597
BaseRepresentation
bin11010010001000110…
…00000111010001100
31100101210110212102100
431020203000322030
5212340110241304
610251155355100
71006314235560
oct151043007214
940353425370
1014102040204
115a8726358a
1228968b2a90
1314397b81b5
1497ac796a0
1557808c439
hex3488c0e8c

14102040204 has 144 divisors (see below), whose sum is σ = 41452273408. Its totient is φ = 3958948224.

The previous prime is 14102040203. The next prime is 14102040233. The reversal of 14102040204 is 40204020141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14102040203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8829534 + ... + 8831130.

Almost surely, 214102040204 is an apocalyptic number.

14102040204 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 14102040204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726136704).

14102040204 is an abundant number, since it is smaller than the sum of its proper divisors (27350233204).

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

14102040204 is a wasteful number, since it uses less digits than its factorization.

14102040204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14102040204 its reverse (40204020141), we get a palindrome (54306060345).

The spelling of 14102040204 in words is "fourteen billion, one hundred two million, forty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 523 603 804 938 1046 1206 1407 1569 1597 1876 2092 2412 2814 3138 3194 3661 4221 4707 4791 5628 6276 6388 7322 8442 9414 9582 10983 11179 14373 14644 16884 18828 19164 21966 22358 28746 32949 33537 35041 43932 44716 57492 65898 67074 70082 100611 105123 106999 131796 134148 140164 201222 210246 213998 245287 315369 320997 402444 420492 427996 490574 630738 641994 735861 748993 835231 962991 981148 1261476 1283988 1471722 1497986 1670462 1925982 2207583 2246979 2505693 2943444 2995972 3340924 3851964 4415166 4493958 5011386 5846617 6740937 7517079 8830332 8987916 10022772 11693234 13481874 15034158 17539851 23386468 26963748 30068316 35079702 52619553 55960477 70159404 105239106 111920954 167881431 210478212 223841908 335762862 391723339 503644293 671525724 783446678 1007288586 1175170017 1566893356 2014577172 2350340034 3525510051 4700680068 7051020102 14102040204