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14303014432 = 257471737853
BaseRepresentation
bin11010101001000011…
…01010111000100000
31100220210122102020021
431110201222320200
5213243032430212
610323135123224
71014304421350
oct152441527040
940823572207
1014303014432
11607a751493
122932073514
13146c323a65
14999832b60
1558aa3a307
hex35486ae20

14303014432 has 96 divisors (see below), whose sum is σ = 33060690432. Its totient is φ = 5964002304.

The previous prime is 14303014423. The next prime is 14303014433. The reversal of 14303014432 is 23441030341.

It is a junction number, because it is equal to n+sod(n) for n = 14303014397 and 14303014406.

It is not an unprimeable number, because it can be changed into a prime (14303014433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817418 + ... + 1825270.

It is an arithmetic number, because the mean of its divisors is an integer number (344382192).

Almost surely, 214303014432 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 14303014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530345216).

14303014432 is an abundant number, since it is smaller than the sum of its proper divisors (18757676000).

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

14303014432 is a wasteful number, since it uses less digits than its factorization.

14303014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 14303014432 its reverse (23441030341), we get a palindrome (37744044773).

The spelling of 14303014432 in words is "fourteen billion, three hundred three million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 173 188 224 329 346 376 658 692 752 1211 1316 1384 1504 2422 2632 2768 4844 5264 5536 7853 8131 9688 10528 15706 16262 19376 31412 32524 38752 54971 56917 62824 65048 109942 113834 125648 130096 219884 227668 251296 260192 369091 439768 455336 738182 879536 910672 1358569 1476364 1759072 1821344 2583637 2717138 2952728 5167274 5434276 5905456 9509983 10334548 10868552 11810912 19019966 20669096 21737104 38039932 41338192 43474208 63852743 76079864 82676384 127705486 152159728 255410972 304319456 446969201 510821944 893938402 1021643888 1787876804 2043287776 3575753608 7151507216 14303014432