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14414241441 = 337891678737
BaseRepresentation
bin11010110110010011…
…11101111010100001
31101012112221100000010
431123021331322201
5214010021211231
610342151115133
71020125013345
oct153311757241
941175840003
1014414241441
116127510a36
122963372aa9
131489398762
149aa507625
155956ab546
hex35b27dea1

14414241441 has 32 divisors (see below), whose sum is σ = 20082021120. Its totient is φ = 9188315136.

The previous prime is 14414241409. The next prime is 14414241449.

14414241441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14414241441 - 25 = 14414241409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14414241399 and 14414241408.

It is not an unprimeable number, because it can be changed into a prime (14414241449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645425 + ... + 1654161.

It is an arithmetic number, because the mean of its divisors is an integer number (627563160).

Almost surely, 214414241441 is an apocalyptic number.

It is an amenable number.

14414241441 is a deficient number, since it is larger than the sum of its proper divisors (5667779679).

14414241441 is a wasteful number, since it uses less digits than its factorization.

14414241441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033.

The product of its digits is 8192, while the sum is 30.

The spelling of 14414241441 in words is "fourteen billion, four hundred fourteen million, two hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 37 89 111 167 267 501 3293 6179 8737 9879 14863 18537 26211 44589 323269 549931 777593 969807 1459079 1649793 2332779 4377237 28770941 53985923 86312823 129858031 161957769 389574093 4804747147 14414241441