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442504405244 = 2211113461193057
BaseRepresentation
bin1100111000001110101…
…00010110000011111100
31120022011220002212122002
412130013110112003330
524222222111431434
6535141141041432
743653446245556
oct6340724260374
91508156085562
10442504405244
11160735223140
12719159b6278
13329605031a5
14175bb20a4d6
15b79d1cb57e
hex67075160fc

442504405244 has 48 divisors (see below), whose sum is σ = 854110214496. Its totient is φ = 198924902400.

The previous prime is 442504405207. The next prime is 442504405247.

442504405244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442504405198 and 442504405207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442504405247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195564 + ... + 2388620.

It is an arithmetic number, because the mean of its divisors is an integer number (17793962802).

Almost surely, 2442504405244 is an apocalyptic number.

442504405244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442504405244 is a deficient number, since it is larger than the sum of its proper divisors (411605809252).

442504405244 is a wasteful number, since it uses less digits than its factorization.

442504405244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193646 (or 193644 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 442504 and 405244, that added together give a palindrome (847748).

The spelling of 442504405244 in words is "four hundred forty-two billion, five hundred four million, four hundred five thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 113 226 452 461 922 1243 1844 2486 4972 5071 10142 20284 52093 104186 193057 208372 386114 573023 772228 1146046 2123627 2292092 4247254 8494508 21815441 43630882 87261764 88999277 177998554 239969851 355997108 479939702 959879404 978992047 1957984094 3915968188 10056918301 20113836602 40227673204 110626101311 221252202622 442504405244