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444043431 = 33131265081
BaseRepresentation
bin11010011101111…
…001000010100111
31010221112202002000
4122131321002213
51402133342211
6112021220343
714001210156
oct3235710247
91127482060
10444043431
11208718447
121048616b3
1370cc26c0
1442d8b59d
1528eb3656
hex1a7790a7

444043431 has 16 divisors (see below), whose sum is σ = 708445920. Its totient is φ = 273257280.

The previous prime is 444043429. The next prime is 444043477. The reversal of 444043431 is 134340444.

It is not a de Polignac number, because 444043431 - 21 = 444043429 is a prime.

It is a super-2 number, since 2×4440434312 = 394349137228503522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 444043395 and 444043404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444043421) 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, 632190 + ... + 632891.

It is an arithmetic number, because the mean of its divisors is an integer number (44277870).

Almost surely, 2444043431 is an apocalyptic number.

444043431 is a deficient number, since it is larger than the sum of its proper divisors (264402489).

444043431 is a wasteful number, since it uses less digits than its factorization.

444043431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265103 (or 1265097 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 444043431 is about 21072.3380525275. The cubic root of 444043431 is about 762.9132364023.

Adding to 444043431 its reverse (134340444), we get a palindrome (578383875).

The spelling of 444043431 in words is "four hundred forty-four million, forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 1265081 3795243 11385729 16446053 34157187 49338159 148014477 444043431