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14113000332 = 2234672712399
BaseRepresentation
bin11010010010011001…
…10100101110001100
31100102120002200220000
431021030310232030
5212400412002312
610252230324300
71006506344364
oct151114645614
940376080800
1014113000332
115a9246a042
12289a4b9690
13143bb54a92
1497c4cd9a4
15579004adc
hex349334b8c

14113000332 has 120 divisors (see below), whose sum is σ = 37598668800. Its totient is φ = 4615094880.

The previous prime is 14113000309. The next prime is 14113000339. The reversal of 14113000332 is 23300031141.

It is a super-2 number, since 2×141130003322 (a number of 21 digits) contains 22 as substring.

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 (14113000339) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5881669 + ... + 5884067.

It is an arithmetic number, because the mean of its divisors is an integer number (313322240).

Almost surely, 214113000332 is an apocalyptic number.

14113000332 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 14113000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799334400).

14113000332 is an abundant number, since it is smaller than the sum of its proper divisors (23485668468).

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

14113000332 is a wasteful number, since it uses less digits than its factorization.

14113000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 14113000332 its reverse (23300031141), we get a palindrome (37413031473).

The spelling of 14113000332 in words is "fourteen billion, one hundred thirteen million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 271 324 402 542 603 804 813 1084 1206 1626 1809 2399 2412 2439 3252 3618 4798 4878 5427 7197 7236 7317 9596 9756 10854 14394 14634 18157 21591 21708 21951 28788 29268 36314 43182 43902 54471 64773 72628 86364 87804 108942 129546 160733 163413 194319 217884 259092 321466 326826 388638 482199 490239 642932 650129 653652 777276 964398 980478 1300258 1446597 1470717 1928796 1950387 1960956 2600516 2893194 2941434 3900774 4339791 5786388 5851161 5882868 7801548 8679582 11702322 13019373 17359164 17553483 23404644 26038746 35106966 43558643 52077492 52660449 70213932 87117286 105320898 130675929 174234572 210641796 261351858 392027787 522703716 784055574 1176083361 1568111148 2352166722 3528250083 4704333444 7056500166 14113000332