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14132804004 = 223211172123491
BaseRepresentation
bin11010010100110000…
…10111100110100100
31100110221100211102100
431022120113212210
5212420444212004
610254215012100
71010136565134
oct151230274644
940427324370
1014132804004
115aa2665910
1228a506a030
131442c99a27
14980da6ac4
1557ab17739
hex34a6179a4

14132804004 has 108 divisors (see below), whose sum is σ = 41399952048. Its totient is φ = 4030713600.

The previous prime is 14132803973. The next prime is 14132804033. The reversal of 14132804004 is 40040823141.

It is a super-2 number, since 2×141328040042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52699 + ... + 176189.

Almost surely, 214132804004 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 14132804004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699976024).

14132804004 is an abundant number, since it is smaller than the sum of its proper divisors (27267148044).

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

14132804004 is a wasteful number, since it uses less digits than its factorization.

14132804004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123546 (or 123524 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14132804004 in words is "fourteen billion, one hundred thirty-two million, eight hundred four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 28611 38148 57222 114444 123491 246982 370473 493964 740946 1111419 1358401 1481892 2099347 2222838 2716802 4075203 4198694 4445676 5433604 6298041 8150406 8397388 12225609 12596082 16300812 18894123 23092817 24451218 25192164 35688899 37788246 46185634 48902436 69278451 71377798 75576492 92371268 107066697 138556902 142755596 207835353 214133394 277113804 321200091 392577889 415670706 428266788 642400182 785155778 831341412 1177733667 1284800364 1570311556 2355467334 3533201001 4710934668 7066402002 14132804004