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14441114441 = 136118210737
BaseRepresentation
bin11010111001100000…
…11110101101001001
31101021102111121211102
431130300132231021
5214033411130231
610344551111145
71020602306315
oct153460365511
941242447742
1014441114441
1161406a6026
1229703724b5
131491b17340
149add00b45
15597c18acb
hex35cc1eb49

14441114441 has 8 divisors (see below), whose sum is σ = 15806920584. Its totient is φ = 13111729920.

The previous prime is 14441114417. The next prime is 14441114531.

14441114441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 910772041 + 13530342400 = 30179^2 + 116320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14441114441 - 26 = 14441114377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14441114041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9104576 + ... + 9106161.

It is an arithmetic number, because the mean of its divisors is an integer number (1975865073).

Almost surely, 214441114441 is an apocalyptic number.

It is an amenable number.

14441114441 is a deficient number, since it is larger than the sum of its proper divisors (1365806143).

14441114441 is a wasteful number, since it uses less digits than its factorization.

14441114441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210811.

The product of its digits is 4096, while the sum is 29.

The spelling of 14441114441 in words is "fourteen billion, four hundred forty-one million, one hundred fourteen thousand, four hundred forty-one".

Divisors: 1 13 61 793 18210737 236739581 1110854957 14441114441