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22042414344330 = 23251714406806761
BaseRepresentation
bin1010000001100001001100…
…10001101110100010001010
32220001020022202101021220200
411000300212101232202022
510342120331033004310
6114514051221433030
74433340401346342
oct500604621564212
986036282337820
1022042414344330
117029154286556
12257bb73b6b776
13c3b78ab69373
14562c03bcdd22
152835917a69c0
hex140c2646e88a

22042414344330 has 48 divisors (see below), whose sum is σ = 60681470081544. Its totient is φ = 5532213795840.

The previous prime is 22042414344323. The next prime is 22042414344437. The reversal of 22042414344330 is 3344341424022.

22042414344330 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 241 + 43 + 44 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18337570853121 + 3704843491209 = 4282239^2 + 1924797^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7203401851 + ... + 7203404910.

Almost surely, 222042414344330 is an apocalyptic number.

22042414344330 is an abundant number, since it is smaller than the sum of its proper divisors (38639055737214).

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

22042414344330 is a wasteful number, since it uses less digits than its factorization.

22042414344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406806791 (or 14406806788 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 22042414344330 its reverse (3344341424022), we get a palindrome (25386755768352).

The spelling of 22042414344330 in words is "twenty-two trillion, forty-two billion, four hundred fourteen million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 14406806761 28813613522 43220420283 72034033805 86440840566 129661260849 144068067610 216102101415 244915714937 259322521698 432204202830 489831429874 648306304245 734747144811 1224578574685 1296612608490 1469494289622 2204241434433 2449157149370 3673735724055 4408482868866 7347471448110 11021207172165 22042414344330