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444302322021 = 32152897322877
BaseRepresentation
bin1100111011100100111…
…10110110100101100101
31120110211012012111210100
412131302132312211211
524234412343301041
6540035404414313
744046140265465
oct6356236664545
91513735174710
10444302322021
11161478094678
1272137b47399
1332b88b43c7c
141770bcddba5
15b855e726b6
hex67727b6965

444302322021 has 12 divisors (see below), whose sum is σ = 641776205772. Its totient is φ = 296198693376.

The previous prime is 444302322017. The next prime is 444302322059. The reversal of 444302322021 is 120223203444.

444302322021 is a `hidden beast` number, since 4 + 4 + 430 + 2 + 3 + 220 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327768845121 + 116533476900 = 572511^2 + 341370^2 .

It is not a de Polignac number, because 444302322021 - 22 = 444302322017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444302322001) 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 11 ways as a sum of consecutive naturals, for example, 1214635 + ... + 1537511.

It is an arithmetic number, because the mean of its divisors is an integer number (53481350481).

Almost surely, 2444302322021 is an apocalyptic number.

It is an amenable number.

444302322021 is a deficient number, since it is larger than the sum of its proper divisors (197473883751).

444302322021 is a wasteful number, since it uses less digits than its factorization.

444302322021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475780 (or 475777 counting only the distinct ones).

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

Adding to 444302322021 its reverse (120223203444), we get a palindrome (564525525465).

The spelling of 444302322021 in words is "four hundred forty-four billion, three hundred two million, three hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 152897 322877 458691 968631 1376073 2905893 49366924669 148100774007 444302322021