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442378505873244 = 223371409707131289
BaseRepresentation
bin110010010010101110100010…
…1101100101110011101011100
32011000022222020200121120120110
41210211131011230232131130
5430440412140000420434
64204505514030450020
7162115535525234523
oct14445350554563534
92130288220546513
10442378505873244
11118a56741866326
1241747b02663910
1315cac1638c63c5
147b3533bc794ba
15362243071b4e9
hex1925745b2e75c

442378505873244 has 48 divisors (see below), whose sum is σ = 1060866646509600. Its totient is φ = 143372282904576.

The previous prime is 442378505873233. The next prime is 442378505873387.

442378505873244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352940049 + ... + 354191240.

It is an arithmetic number, because the mean of its divisors is an integer number (22101388468950).

Almost surely, 2442378505873244 is an apocalyptic number.

It is an amenable number.

442378505873244 is an abundant number, since it is smaller than the sum of its proper divisors (618488140636356).

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

442378505873244 is a wasteful number, since it uses less digits than its factorization.

442378505873244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707132742 (or 707132740 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 66.

The spelling of 442378505873244 in words is "four hundred forty-two trillion, three hundred seventy-eight billion, five hundred five million, eight hundred seventy-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1409 2818 4227 5636 8454 16908 52133 104266 156399 208532 312798 625596 707131289 1414262578 2121393867 2828525156 4242787734 8485575468 26163857693 52327715386 78491573079 104655430772 156983146158 313966292316 996347986201 1992695972402 2989043958603 3985391944804 5978087917206 11956175834412 36864875489437 73729750978874 110594626468311 147459501957748 221189252936622 442378505873244