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14387282809 = 1925921072
BaseRepresentation
bin11010110011000110…
…01000001101111001
31101010200012200201021
431121203020031321
5213431121022214
610335345222441
71016346612634
oct153143101571
941120180637
1014387282809
116113278579
122956331a21
131483919bc3
149a6acac1b
15593133924
hex3598c8379

14387282809 has 27 divisors (see below), whose sum is σ = 15591791397. Its totient is φ = 13273814808.

The previous prime is 14387282743. The next prime is 14387282843. The reversal of 14387282809 is 90828278341.

It is a happy number.

The square root of 14387282809 is 119947.

It is a perfect power (a square), and thus also a powerful number.

14387282809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14387282809 - 225 = 14353728377 is a prime.

It is a super-2 number, since 2×143872828092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14387282849) 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 26 ways as a sum of consecutive naturals, for example, 134460534 + ... + 134460640.

Almost surely, 214387282809 is an apocalyptic number.

14387282809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14387282809 is the 119947-th square number.

14387282809 is the 59974-th centered octagonal number.

It is an amenable number.

14387282809 is a deficient number, since it is larger than the sum of its proper divisors (1204508588).

14387282809 is an frugal number, since it uses more digits than its factorization.

14387282809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 14387282809 in words is "fourteen billion, three hundred eighty-seven million, two hundred eighty-two thousand, eight hundred nine".

Divisors: 1 19 59 107 361 1121 2033 3481 6313 11449 21299 38627 66139 119947 217531 372467 675491 1256641 2278993 4133089 7076873 12834329 39853969 134460587 243852251 757225411 14387282809