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14441214441 = 337415331327
BaseRepresentation
bin11010111001100001…
…10111000111101001
31101021102200201000010
431130300313013221
5214033422330231
610344553202133
71020603204003
oct153460670751
941242621003
1014441214441
116140764175
122970400349
131491b50a04
149add29373
15597c38546
hex35cc371e9

14441214441 has 16 divisors (see below), whose sum is σ = 19780749824. Its totient is φ = 9364719744.

The previous prime is 14441214439. The next prime is 14441214497.

14441214441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14441214441 - 21 = 14441214439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14441214399 and 14441214408.

It is not an unprimeable number, because it can be changed into a prime (14441214241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445320 + ... + 476646.

It is an arithmetic number, because the mean of its divisors is an integer number (1236296864).

Almost surely, 214441214441 is an apocalyptic number.

It is an amenable number.

14441214441 is a deficient number, since it is larger than the sum of its proper divisors (5339535383).

14441214441 is a wasteful number, since it uses less digits than its factorization.

14441214441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35520.

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

The spelling of 14441214441 in words is "fourteen billion, four hundred forty-one million, two hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 37 111 4153 12459 31327 93981 153661 460983 1159099 3477297 130101031 390303093 4813738147 14441214441