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21442544220032 = 271316217949503
BaseRepresentation
bin1001110000000011110110…
…01110110011011110000000
32210220212221202220121101122
410320001323032303132000
510302303312310020112
6113334322511051412
74342113143413565
oct470017316633600
983825852817348
1021442544220032
11691780622a551
1224a3860810b68
13bc703c0b2bb0
14541b78cb686c
15272b83040872
hex13807b3b3780

21442544220032 has 64 divisors (see below), whose sum is σ = 46031920892160. Its totient is φ = 9890452408320.

The previous prime is 21442544219977. The next prime is 21442544220043. The reversal of 21442544220032 is 23002244524412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21442544219974 and 21442544220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277408 + ... + 6672095.

It is an arithmetic number, because the mean of its divisors is an integer number (719248763940).

Almost surely, 221442544220032 is an apocalyptic number.

It is an amenable number.

21442544220032 is an abundant number, since it is smaller than the sum of its proper divisors (24589376672128).

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

21442544220032 is a wasteful number, since it uses less digits than its factorization.

21442544220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951151 (or 7951139 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 21442544220032 its reverse (23002244524412), we get a palindrome (44444788744444).

The spelling of 21442544220032 in words is "twenty-one trillion, four hundred forty-two billion, five hundred forty-four million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1621 1664 3242 6484 12968 21073 25936 42146 51872 84292 103744 168584 207488 337168 674336 1348672 2697344 7949503 15899006 31798012 63596024 103343539 127192048 206687078 254384096 413374156 508768192 826748312 1017536384 1653496624 3306993248 6613986496 12886144363 13227972992 25772288726 51544577452 103089154904 167519876719 206178309808 335039753438 412356619616 670079506876 824713239232 1340159013752 1649426478464 2680318027504 5360636055008 10721272110016 21442544220032