Search a number
-
+
14130130404 = 223132917917449
BaseRepresentation
bin11010010100011100…
…01010110111100100
31100110202022222221010
431022032022313210
5212414303133104
610254041422220
71010105061315
oct151216126744
940422288833
1014130130404
115aa10aa125
1228a419a970
131442571b10
149808ac60c
1557a78a489
hex34a38ade4

14130130404 has 96 divisors (see below), whose sum is σ = 36938160000. Its totient is φ = 4174119936.

The previous prime is 14130130403. The next prime is 14130130409. The reversal of 14130130404 is 40403103141.

14130130404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14130130403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 801072 + ... + 818520.

It is an arithmetic number, because the mean of its divisors is an integer number (384772500).

Almost surely, 214130130404 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 14130130404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469080000).

14130130404 is an abundant number, since it is smaller than the sum of its proper divisors (22808029596).

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

14130130404 is a wasteful number, since it uses less digits than its factorization.

14130130404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17677 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14130130404 its reverse (40403103141), we get a palindrome (54533233545).

The spelling of 14130130404 in words is "fourteen billion, one hundred thirty million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 179 348 358 377 537 716 754 1074 1131 1508 2148 2262 2327 4524 4654 5191 6981 9308 10382 13962 15573 17449 20764 27924 31146 34898 52347 62292 67483 69796 104694 134966 202449 209388 226837 269932 404898 453674 506021 680511 809796 907348 1012042 1361022 1518063 2024084 2722044 3036126 3123371 6072252 6246742 6578273 9370113 12493484 13156546 18740226 19734819 26313092 37480452 39469638 40603823 78939276 81207646 90577759 121811469 162415292 181155518 243622938 271733277 362311036 487245876 543466554 1086933108 1177510867 2355021734 3532532601 4710043468 7065065202 14130130404