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442443124330220 = 2251327712281500231
BaseRepresentation
bin110010010011001100101000…
…1010000100100111011101100
32011000120011001001122022020202
41210212121101100210323230
5430442442004312031340
64204555322040333032
7162123314035116416
oct14446312120447354
92130504031568222
10442443124330220
11118a81091241482
1241758537174178
1315cb5291133870
147b3850bc719b6
153623e6365ac15
hex1926651424eec

442443124330220 has 96 divisors (see below), whose sum is σ = 1004298202244736. Its totient is φ = 162760275302400.

The previous prime is 442443124330201. The next prime is 442443124330297. The reversal of 442443124330220 is 22033421344244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884227505 + ... + 884727735.

It is an arithmetic number, because the mean of its divisors is an integer number (10461439606716).

Almost surely, 2442443124330220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442443124330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502149101122368).

442443124330220 is an abundant number, since it is smaller than the sum of its proper divisors (561855077914516).

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

442443124330220 is a wasteful number, since it uses less digits than its factorization.

442443124330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512811 (or 512809 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 442443124330220 its reverse (22033421344244), we get a palindrome (464476545674464).

The spelling of 442443124330220 in words is "four hundred forty-two trillion, four hundred forty-three billion, one hundred twenty-four million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 554 1108 1385 2770 3601 5540 7202 12281 14404 18005 24562 36010 49124 61405 72020 122810 159653 245620 319306 500231 638612 798265 1000462 1596530 2000924 2501155 3193060 3401837 5002310 6503003 6803674 10004620 13006006 13607348 17009185 26012012 32515015 34018370 44223881 65030030 68036740 88447762 130060060 138563987 176895524 221119405 277127974 442238810 554255948 692819935 884477620 1385639870 1801331831 2771279740 3602663662 6143336911 7205327324 9006659155 12286673822 18013318310 24573347644 30716684555 36026636620 61433369110 79863379843 122866738220 159726759686 319453519372 399316899215 798633798430 1597267596860 1701704324347 3403408648694 6806817297388 8508521621735 17017043243470 22122156216511 34034086486940 44244312433022 88488624866044 110610781082555 221221562165110 442443124330220