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14204134032 = 24311173151047
BaseRepresentation
bin11010011101010000…
…11110001010010000
31100122220120202211020
431032220132022100
5213042224242112
610305243515440
71011664101324
oct151650361220
940586522736
1014204134032
116029955150
122904b28b80
1314549b2a4a
1498a653984
1558200748c
hex34ea1e290

14204134032 has 160 divisors (see below), whose sum is σ = 43752628224. Its totient is φ = 3920332800.

The previous prime is 14204134031. The next prime is 14204134039. The reversal of 14204134032 is 23043140241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14204133993 and 14204134011.

It is not an unprimeable number, because it can be changed into a prime (14204134031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252733 + ... + 303779.

Almost surely, 214204134032 is an apocalyptic number.

14204134032 is a gapful number since it is divisible by the number (12) 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 14204134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876314112).

14204134032 is an abundant number, since it is smaller than the sum of its proper divisors (29548494192).

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

14204134032 is a wasteful number, since it uses less digits than its factorization.

14204134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51117 (or 51111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14204134032 its reverse (23043140241), we get a palindrome (37247274273).

The spelling of 14204134032 in words is "fourteen billion, two hundred four million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 124 132 136 176 186 187 204 248 264 272 341 372 374 408 496 527 528 561 682 744 748 816 1023 1054 1122 1364 1488 1496 1581 2046 2108 2244 2728 2992 3162 4092 4216 4488 5456 5797 6324 8184 8432 8976 11594 12648 16368 17391 23188 25296 34782 46376 51047 69564 92752 102094 139128 153141 204188 278256 306282 408376 561517 612564 816752 867799 1123034 1225128 1582457 1684551 1735598 2246068 2450256 2603397 3164914 3369102 3471196 4492136 4747371 5206794 6329828 6738204 6942392 8984272 9494742 9545789 10413588 12659656 13476408 13884784 17407027 18989484 19091578 20827176 25319312 26901769 26952816 28637367 34814054 37978968 38183156 41654352 52221081 53803538 57274734 69628108 75957936 76366312 80705307 104442162 107607076 114549468 139256216 152732624 161410614 208884324 215214152 229098936 278512432 295919459 322821228 417768648 430428304 458197872 591838918 645642456 835537296 887758377 1183677836 1291284912 1775516754 2367355672 3551033508 4734711344 7102067016 14204134032