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14448084441 = 371016811921
BaseRepresentation
bin11010111010010110…
…00100010111011001
31101021220121201212120
431131023010113121
5214042202200231
610345400331453
71021015456110
oct153513042731
941256551776
1014448084441
11614462675a
122972773b89
1314933b79bb
149b0bd6c77
15598643d96
hex35d2c45d9

14448084441 has 16 divisors (see below), whose sum is σ = 22234113408. Its totient is φ = 8174304000.

The previous prime is 14448084407. The next prime is 14448084487.

It is a happy number.

14448084441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14448084441 - 214 = 14448068057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14448084393 and 14448084402.

It is not an unprimeable number, because it can be changed into a prime (14448084941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3403840 + ... + 3408081.

It is an arithmetic number, because the mean of its divisors is an integer number (1389632088).

Almost surely, 214448084441 is an apocalyptic number.

It is an amenable number.

14448084441 is a deficient number, since it is larger than the sum of its proper divisors (7786028967).

14448084441 is a wasteful number, since it uses less digits than its factorization.

14448084441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812032.

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 14448084441 in words is "fourteen billion, four hundred forty-eight million, eighty-four thousand, four hundred forty-one".

Divisors: 1 3 7 21 101 303 707 2121 6811921 20435763 47683447 143050341 688004021 2064012063 4816028147 14448084441