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14441041013 = 759142924469
BaseRepresentation
bin11010111001100000…
…01100110001110101
31101021102100220002212
431130300030301311
5214033401303023
610344545343205
71020601552250
oct153460146165
941242326085
1014441041013
116140655943
122970337b05
131491abcaa9
149adcc2097
15597c01e78
hex35cc0cc75

14441041013 has 16 divisors (see below), whose sum is σ = 16796208000. Its totient is φ = 12159225792.

The previous prime is 14441040989. The next prime is 14441041037. The reversal of 14441041013 is 31014014441.

14441041013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14441040989) and next prime (14441041037).

It is not a de Polignac number, because 14441041013 - 210 = 14441039989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14441041013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441041513) 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, 577943 + ... + 602411.

It is an arithmetic number, because the mean of its divisors is an integer number (1049763000).

Almost surely, 214441041013 is an apocalyptic number.

It is an amenable number.

14441041013 is a deficient number, since it is larger than the sum of its proper divisors (2355166987).

14441041013 is a wasteful number, since it uses less digits than its factorization.

14441041013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14441041013 its reverse (31014014441), we get a palindrome (45455055454).

The spelling of 14441041013 in words is "fourteen billion, four hundred forty-one million, forty-one thousand, thirteen".

Divisors: 1 7 59 413 1429 10003 24469 84311 171283 590177 1443671 10105697 34966201 244763407 2063005859 14441041013