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14132143404 = 22328319923767
BaseRepresentation
bin11010010100101011…
…10110010100101100
31100110220010021020200
431022111312110230
5212420312042104
610254152513500
71010131144161
oct151225662454
940426107220
1014132143404
115aa2254565
1228a49ab890
131442ac8142
14980c74068
1557aa36b39
hex34a57652c

14132143404 has 72 divisors (see below), whose sum is σ = 36336518400. Its totient is φ = 4630377312.

The previous prime is 14132143397. The next prime is 14132143411. The reversal of 14132143404 is 40434123141.

14132143404 is a `hidden beast` number, since 1 + 41 + 3 + 214 + 3 + 404 = 666.

14132143404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14132143397) and next prime (14132143411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582729 + ... + 606495.

Almost surely, 214132143404 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 14132143404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168259200).

14132143404 is an abundant number, since it is smaller than the sum of its proper divisors (22204374996).

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

14132143404 is a wasteful number, since it uses less digits than its factorization.

14132143404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24059 (or 24054 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14132143404 its reverse (40434123141), we get a palindrome (54566266545).

The spelling of 14132143404 in words is "fourteen billion, one hundred thirty-two million, one hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 199 249 332 398 498 597 747 796 996 1194 1494 1791 2388 2988 3582 7164 16517 23767 33034 47534 49551 66068 71301 95068 99102 142602 148653 198204 213903 285204 297306 427806 594612 855612 1972661 3945322 4729633 5917983 7890644 9459266 11835966 14188899 17753949 18918532 23671932 28377798 35507898 42566697 56755596 71015796 85133394 170266788 392559539 785119078 1177678617 1570238156 2355357234 3533035851 4710714468 7066071702 14132143404