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441322222223144 = 23142909338601601
BaseRepresentation
bin110010001011000010101011…
…0010010010111111100101000
32010212120222210110120111000002
41210112011112102113330220
5430321110402342120034
64202340344030202132
7161646323035322243
oct14426052622277450
92125528713514002
10441322222223144
11118689781220029
12415b7253353348
1315c33678aca1c2
147ada17677825a
153604c0cb47e7e
hex1916156497f28

441322222223144 has 16 divisors (see below), whose sum is σ = 827479767128820. Its totient is φ = 220660950988800.

The previous prime is 441322222223041. The next prime is 441322222223147.

441322222223144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 428078169002500 + 13244053220644 = 20690050^2 + 3639238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441322222223098 and 441322222223107.

It is not an unprimeable number, because it can be changed into a prime (441322222223147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7868057 + ... + 30733544.

Almost surely, 2441322222223144 is an apocalyptic number.

It is an amenable number.

441322222223144 is a deficient number, since it is larger than the sum of its proper divisors (386157544905676).

441322222223144 is a wasteful number, since it uses less digits than its factorization.

441322222223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40030700 (or 40030696 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 441322222223144 in words is "four hundred forty-one trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 1429093 2858186 5716372 11432744 38601601 77203202 154406404 308812808 55165277777893 110330555555786 220661111111572 441322222223144