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442200233345 = 51341165928793
BaseRepresentation
bin1100110111101010011…
…00000001010110000001
31120021101200202100020012
412123311030001112001
524221111224431340
6535051033354305
743643063652203
oct6336514012601
91507350670205
10442200233345
1116059955a302
127184bb68995
13329124a4510
141758ca6c773
15b781646565
hex66f5301581

442200233345 has 16 divisors (see below), whose sum is σ = 585396785232. Its totient is φ = 318583280640.

The previous prime is 442200233317. The next prime is 442200233399. The reversal of 442200233345 is 543332002244.

It can be written as a sum of positive squares in 8 ways, for example, as 191724006769 + 250476226576 = 437863^2 + 500476^2 .

It is not a de Polignac number, because 442200233345 - 26 = 442200233281 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82961732 + ... + 82967061.

It is an arithmetic number, because the mean of its divisors is an integer number (36587299077).

Almost surely, 2442200233345 is an apocalyptic number.

It is an amenable number.

442200233345 is a deficient number, since it is larger than the sum of its proper divisors (143196551887).

442200233345 is a wasteful number, since it uses less digits than its factorization.

442200233345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165928852.

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 442200233345 its reverse (543332002244), we get a palindrome (985532235589).

The spelling of 442200233345 in words is "four hundred forty-two billion, two hundred million, two hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 5 13 41 65 205 533 2665 165928793 829643965 2157074309 6803080513 10785371545 34015402565 88440046669 442200233345