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14433233441 = 112119282921
BaseRepresentation
bin11010111000100100…
…11010101000100001
31101020212200020010112
431130102122220201
5214024401432231
610344110141105
71020445313534
oct153422325041
941225606115
1014433233441
116137202a00
1229697b1795
1314902b8123
149acc4ca1b
155971ad92b
hex35c49aa21

14433233441 has 6 divisors (see below), whose sum is σ = 15864628626. Its totient is φ = 13121121200.

The previous prime is 14433233429. The next prime is 14433233459.

14433233441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 12438717841 + 1994515600 = 111529^2 + 44660^2 .

It is a de Polignac number, because none of the positive numbers 2k-14433233441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14433233398 and 14433233407.

It is not an unprimeable number, because it can be changed into a prime (14433233341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59641340 + ... + 59641581.

It is an arithmetic number, because the mean of its divisors is an integer number (2644104771).

Almost surely, 214433233441 is an apocalyptic number.

14433233441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14433233441 is a deficient number, since it is larger than the sum of its proper divisors (1431395185).

14433233441 is a wasteful number, since it uses less digits than its factorization.

14433233441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119282943 (or 119282932 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 14433233441 in words is "fourteen billion, four hundred thirty-three million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 11 121 119282921 1312112131 14433233441