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442738837244 = 221110118123041
BaseRepresentation
bin1100111000101010100…
…10101000011011111100
31120022210020020020212202
412130111102220123330
524223212120242434
6535220313451032
743662324011024
oct6342522503374
91508706206782
10442738837244
111608455933a0
1271980410a78
1332999c54852
14176003d2a84
15b7b3a87a7e
hex67154a86fc

442738837244 has 72 divisors (see below), whose sum is σ = 858621608208. Its totient is φ = 198086400000.

The previous prime is 442738837237. The next prime is 442738837271.

442738837244 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 442738837244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145588364 + ... + 145591404.

It is an arithmetic number, because the mean of its divisors is an integer number (11925300114).

Almost surely, 2442738837244 is an apocalyptic number.

442738837244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442738837244 is a deficient number, since it is larger than the sum of its proper divisors (415882770964).

442738837244 is a wasteful number, since it uses less digits than its factorization.

442738837244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3336 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 442738837244 in words is "four hundred forty-two billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 101 181 202 362 404 724 1111 1991 2222 3041 3982 4444 6082 7964 12164 18281 32761 33451 36562 65522 66902 73124 131044 133804 201091 307141 360371 402182 550421 614282 720742 804364 1100842 1228564 1441484 2201684 3308861 3378551 6054631 6617722 6757102 12109262 13235444 13514204 24218524 36397471 55592521 72794942 99626201 111185042 145589884 199252402 222370084 398504804 611517731 1095888211 1223035462 2191776422 2446070924 4383552844 10062246301 20124492602 40248985204 110684709311 221369418622 442738837244