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14132440352 = 2510113013361
BaseRepresentation
bin11010010100101101…
…11110110100100000
31100110220200100120202
431022112332310200
5212420401042402
610254203124332
71010133522002
oct151226766440
940426610522
1014132440352
115aa2437678
1228a4b136a8
131442ba0354
14980d10372
1557aa94b02
hex34a5bed20

14132440352 has 48 divisors (see below), whose sum is σ = 28128684024. Its totient is φ = 6988800000.

The previous prime is 14132440351. The next prime is 14132440379. The reversal of 14132440352 is 25304423141.

14132440352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12544896016 + 1587544336 = 112004^2 + 39844^2 .

It is not an unprimeable number, because it can be changed into a prime (14132440351) 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 7 ways as a sum of consecutive naturals, for example, 4203152 + ... + 4206512.

Almost surely, 214132440352 is an apocalyptic number.

It is an amenable number.

14132440352 is a deficient number, since it is larger than the sum of its proper divisors (13996243672).

14132440352 is a wasteful number, since it uses less digits than its factorization.

14132440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 14132440352 its reverse (25304423141), we get a palindrome (39436863493).

The spelling of 14132440352 in words is "fourteen billion, one hundred thirty-two million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 101 202 404 808 1301 1616 2602 3232 3361 5204 6722 10408 13444 20816 26888 41632 53776 107552 131401 262802 339461 525604 678922 1051208 1357844 2102416 2715688 4204832 4372661 5431376 8745322 10862752 17490644 34981288 69962576 139925152 441638761 883277522 1766555044 3533110088 7066220176 14132440352