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442424424244 = 22111710122326261
BaseRepresentation
bin1100111000000101000…
…11001111011100110100
31120021222022121102022211
412130002203033130310
524222041123033434
6535125202503204
743651455362035
oct6340243173464
91507868542284
10442424424244
111606a4065240
12718b3064b04
1332949a7b65a
14175b074aa8c
15b79617d464
hex67028cf734

442424424244 has 96 divisors (see below), whose sum is σ = 907251674112. Its totient is φ = 186551040000.

The previous prime is 442424424229. The next prime is 442424424269.

442424424244 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442424424197 and 442424424206.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16834074 + ... + 16860334.

It is an arithmetic number, because the mean of its divisors is an integer number (9450538272).

Almost surely, 2442424424244 is an apocalyptic number.

442424424244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442424424244 is an abundant number, since it is smaller than the sum of its proper divisors (464827249868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442424424244 is a wasteful number, since it uses less digits than its factorization.

442424424244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26617 (or 26615 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 40.

It can be divided in two parts, 442424 and 424244, that added together give a palindrome (866668).

The spelling of 442424424244 in words is "four hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 101 187 202 223 374 404 446 748 892 1111 1717 2222 2453 3434 3791 4444 4906 6868 7582 9812 15164 18887 22523 26261 37774 41701 45046 52522 75548 83402 90092 105044 166804 247753 288871 382891 446437 495506 577742 765782 892874 991012 1155484 1531564 1785748 2652361 4211801 4910807 5304722 5856203 8423602 9821614 10609444 11712406 16847204 19643228 23424812 29175971 45090137 58351942 64418233 90180274 99555451 116703884 128836466 180360548 199110902 257672932 398221804 495991507 591476503 991983014 1095109961 1182953006 1983966028 2190219922 2365906012 4380439844 6506241533 10055100551 13012483066 20110201102 26024966132 40220402204 110606106061 221212212122 442424424244