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14364846341 = 297313749529
BaseRepresentation
bin11010110000011011…
…00010100100000101
31101002002222210122222
431120031202210011
5213404400040331
610333224302125
71015655115326
oct153015424405
941062883588
1014364846341
11610164373a
12294a911945
13147c0927a1
149a3b2a44d
155911a0b7b
hex358362905

14364846341 has 16 divisors (see below), whose sum is σ = 15174010800. Its totient is φ = 13579388928.

The previous prime is 14364846319. The next prime is 14364846359.

14364846341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 553660900 + 13811185441 = 23530^2 + 117521^2 .

It is a cyclic number.

It is not a de Polignac number, because 14364846341 - 26 = 14364846277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14364846292 and 14364846301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364846941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265265 + ... + 314793.

It is an arithmetic number, because the mean of its divisors is an integer number (948375675).

Almost surely, 214364846341 is an apocalyptic number.

It is an amenable number.

14364846341 is a deficient number, since it is larger than the sum of its proper divisors (809164459).

14364846341 is a wasteful number, since it uses less digits than its factorization.

14364846341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49768.

The product of its digits is 663552, while the sum is 44.

The spelling of 14364846341 in words is "fourteen billion, three hundred sixty-four million, eight hundred forty-six thousand, three hundred forty-one".

Divisors: 1 29 73 137 2117 3973 10001 49529 290029 1436341 3615617 6785473 104852893 196778717 495339529 14364846341