Search a number
-
+
14366066341 = 112658118041
BaseRepresentation
bin11010110000100100…
…01100011010100101
31101002012021210012011
431120102030122211
5213410203110331
610333310354221
71016001356224
oct153022143245
941065253164
1014366066341
1161022a7300
12294b1bb971
13147c3cbb93
149a3d66cbb
155913423b1
hex35848c6a5

14366066341 has 12 divisors (see below), whose sum is σ = 15794075052. Its totient is φ = 13057352000.

The previous prime is 14366066329. The next prime is 14366066347.

14366066341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1742645025 + 12623421316 = 41745^2 + 112354^2 .

It is not a de Polignac number, because 14366066341 - 215 = 14366033573 is a prime.

It is a super-2 number, since 2×143660663412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14366066294 and 14366066303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14366066347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787281 + ... + 805321.

It is an arithmetic number, because the mean of its divisors is an integer number (1316172921).

Almost surely, 214366066341 is an apocalyptic number.

14366066341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14366066341 is a deficient number, since it is larger than the sum of its proper divisors (1428008711).

14366066341 is a wasteful number, since it uses less digits than its factorization.

14366066341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24644 (or 24633 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 14366066341 in words is "fourteen billion, three hundred sixty-six million, sixty-six thousand, three hundred forty-one".

Divisors: 1 11 121 6581 18041 72391 198451 796301 2182961 118727821 1306006031 14366066341