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14431413441 = 317282968891
BaseRepresentation
bin11010111000010110…
…11110010011000001
31101020202020202120010
431130023132103001
5214023420212231
610344003135133
71020423663444
oct153413362301
941222222503
1014431413441
11613617a575
1229690744a9
13148cacb8c3
149ac8d765b
15596e4e546
hex35c2de4c1

14431413441 has 8 divisors (see below), whose sum is σ = 20373760224. Its totient is φ = 9055004480.

The previous prime is 14431413419. The next prime is 14431413443.

14431413441 is nontrivially palindromic in base 10.

14431413441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14431413441 - 213 = 14431405249 is a prime.

It is a super-3 number, since 3×144314134413 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14431413399 and 14431413408.

It is not an unprimeable number, because it can be changed into a prime (14431413443) 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 7 ways as a sum of consecutive naturals, for example, 141484395 + ... + 141484496.

It is an arithmetic number, because the mean of its divisors is an integer number (2546720028).

Almost surely, 214431413441 is an apocalyptic number.

It is an amenable number.

14431413441 is a deficient number, since it is larger than the sum of its proper divisors (5942346783).

14431413441 is a wasteful number, since it uses less digits than its factorization.

14431413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282968911.

The product of its digits is 9216, while the sum is 30.

The spelling of 14431413441 in words is "fourteen billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 17 51 282968891 848906673 4810471147 14431413441