Search a number
-
+
14033343432 = 2334319370457
BaseRepresentation
bin11010001000111001…
…11101001111001000
31100020000012201011110
431010130331033020
5212220013442212
610240303130320
71004521310463
oct150434751710
940200181143
1014033343432
115a51502699
1228778a39a0
1314284b4914
14971ab62da
1557201ca3c
hex34473d3c8

14033343432 has 64 divisors (see below), whose sum is σ = 36085769280. Its totient is φ = 4545257472.

The previous prime is 14033343403. The next prime is 14033343451. The reversal of 14033343432 is 23434333041.

14033343432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14033343432.

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 15 ways as a sum of consecutive naturals, for example, 163948 + ... + 234404.

It is an arithmetic number, because the mean of its divisors is an integer number (563840145).

Almost surely, 214033343432 is an apocalyptic number.

14033343432 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 14033343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042884640).

14033343432 is an abundant number, since it is smaller than the sum of its proper divisors (22052425848).

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

14033343432 is a wasteful number, since it uses less digits than its factorization.

14033343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70702 (or 70698 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 14033343432 its reverse (23434333041), we get a palindrome (37467676473).

The spelling of 14033343432 in words is "fourteen billion, thirty-three million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 193 258 344 386 516 579 772 1032 1158 1544 2316 4632 8299 16598 24897 33196 49794 66392 70457 99588 140914 199176 211371 281828 422742 563656 845484 1690968 3029651 6059302 9088953 12118604 13598201 18177906 24237208 27196402 36355812 40794603 54392804 72711624 81589206 108785608 163178412 326356824 584722643 1169445286 1754167929 2338890572 3508335858 4677781144 7016671716 14033343432