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14007870041 = 112115767521
BaseRepresentation
bin11010000101110111…
…10010001001011001
31100011020021112020112
431002323302021121
5212142003320131
610233553134105
71004061634154
oct150273621131
940136245215
1014007870041
115a39094100
12286b25a335
1314231360c9
1496c564c9b
1556eb8a02b
hex342ef2259

14007870041 has 6 divisors (see below), whose sum is σ = 15397080426. Its totient is φ = 12734427200.

The previous prime is 14007869999. The next prime is 14007870049.

14007870041 is nontrivially palindromic in base 10.

14007870041 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 only one way, i.e., 8213615641 + 5794254400 = 90629^2 + 76120^2 .

It is not a de Polignac number, because 14007870041 - 230 = 12934128217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14007870049) 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 5 ways as a sum of consecutive naturals, for example, 57883640 + ... + 57883881.

It is an arithmetic number, because the mean of its divisors is an integer number (2566180071).

Almost surely, 214007870041 is an apocalyptic number.

14007870041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14007870041 is a deficient number, since it is larger than the sum of its proper divisors (1389210385).

14007870041 is a wasteful number, since it uses less digits than its factorization.

14007870041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115767543 (or 115767532 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 14007870041 in words is "fourteen billion, seven million, eight hundred seventy thousand, forty-one".

Divisors: 1 11 121 115767521 1273442731 14007870041