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14331120041 = 725716094951
BaseRepresentation
bin11010101100011001…
…11000100110101001
31100222202112022212202
431112030320212221
5213322231320131
610330021345545
71015065340040
oct152614704651
940882468782
1014331120041
1160945a8667
12293b5682b5
1314750b46b4
1499d46b557
1558d23cbcb
hex3563389a9

14331120041 has 16 divisors (see below), whose sum is σ = 16455694080. Its totient is φ = 12225945600.

The previous prime is 14331120029. The next prime is 14331120043. The reversal of 14331120041 is 14002113341.

14331120041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14331120041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14331119995 and 14331120022.

It is not an unprimeable number, because it can be changed into a prime (14331120043) 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 15 ways as a sum of consecutive naturals, for example, 2892116 + ... + 2897066.

It is an arithmetic number, because the mean of its divisors is an integer number (1028480880).

Almost surely, 214331120041 is an apocalyptic number.

It is an amenable number.

14331120041 is a deficient number, since it is larger than the sum of its proper divisors (2124574039).

14331120041 is a wasteful number, since it uses less digits than its factorization.

14331120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14331120041 its reverse (14002113341), we get a palindrome (28333233382).

The spelling of 14331120041 in words is "fourteen billion, three hundred thirty-one million, one hundred twenty thousand, forty-one".

Divisors: 1 7 257 1609 1799 4951 11263 34657 413513 1272407 2894591 7966159 8906849 55763113 2047302863 14331120041