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442231132244 = 2211181178931039
BaseRepresentation
bin1100110111101110000…
…01111001000001010100
31120021110211220011112212
412123313001321001110
524221142132212434
6535054055532552
743643620413356
oct6336701710124
91507424804485
10442231132244
11160604a44090
127185a38a158
1332918a026a5
1417592bd30d6
15b7841eb8ce
hex66f7079054

442231132244 has 48 divisors (see below), whose sum is σ = 849425740800. Its totient is φ = 199785398400.

The previous prime is 442231132241. The next prime is 442231132249.

It is a happy number.

442231132244 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 442231132244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442231132241) 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, 14232077 + ... + 14263115.

It is an arithmetic number, because the mean of its divisors is an integer number (17696369600).

Almost surely, 2442231132244 is an apocalyptic number.

442231132244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442231132244 is a deficient number, since it is larger than the sum of its proper divisors (407194608556).

442231132244 is a wasteful number, since it uses less digits than its factorization.

442231132244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33024 (or 33022 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 442231 and 132244, that added together give a palindrome (574475).

The spelling of 442231132244 in words is "four hundred forty-two billion, two hundred thirty-one million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 181 362 724 1789 1991 3578 3982 7156 7964 19679 31039 39358 62078 78716 124156 323809 341429 647618 682858 1295236 1365716 3561899 5618059 7123798 11236118 14247596 22472236 55528771 61798649 111057542 123597298 222115084 247194596 610816481 1221632962 2443265924 10050707551 20101415102 40202830204 110557783061 221115566122 442231132244