Search a number
-
+
14149068193 = 132174924841
BaseRepresentation
bin11010010110101100…
…11010010110100001
31100112001222010200201
431023112122112201
5212434130140233
610255555345201
71010425044451
oct151326322641
940461863621
1014149068193
116000864397
1228aa5b2201
131446472900
149831dbd61
1557c27b77d
hex34b59a5a1

14149068193 has 12 divisors (see below), whose sum is σ = 16222429548. Its totient is φ = 12292400640.

The previous prime is 14149068179. The next prime is 14149068223. The reversal of 14149068193 is 39186094141.

14149068193 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 6 ways, for example, as 49168144 + 14099900049 = 7012^2 + 118743^2 .

It is a de Polignac number, because none of the positive numbers 2k-14149068193 is a prime.

It is a super-2 number, since 2×141490681932 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14149068173) 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 11 ways as a sum of consecutive naturals, for example, 2459548 + ... + 2465293.

It is an arithmetic number, because the mean of its divisors is an integer number (1351869129).

Almost surely, 214149068193 is an apocalyptic number.

14149068193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14149068193 is a deficient number, since it is larger than the sum of its proper divisors (2073361355).

14149068193 is a wasteful number, since it uses less digits than its factorization.

14149068193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924884 (or 4924871 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 14149068193 in words is "fourteen billion, one hundred forty-nine million, sixty-eight thousand, one hundred ninety-three".

Divisors: 1 13 17 169 221 2873 4924841 64022933 83722297 832298129 1088389861 14149068193