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21232144344042 = 2336473571170179
BaseRepresentation
bin1001101001111011111100…
…11010111110001111101010
32210011202212122102111001000
410310331332122332033222
510240331412423002132
6113053525031335430
74320654221110452
oct464757632761752
983152778374030
1021232144344042
116846557a63615
12246ab22221576
13bb024b2a9558
145358d9900d62
1526c46ba7187c
hex134f7e6be3ea

21232144344042 has 64 divisors (see below), whose sum is σ = 47268978969600. Its totient is φ = 7064422328880.

The previous prime is 21232144344013. The next prime is 21232144344067. The reversal of 21232144344042 is 24044344123212.

21232144344042 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 214 + 4 + 34 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21232144343988 and 21232144344006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124678509 + ... + 124848687.

It is an arithmetic number, because the mean of its divisors is an integer number (738577796400).

Almost surely, 221232144344042 is an apocalyptic number.

21232144344042 is an abundant number, since it is smaller than the sum of its proper divisors (26036834625558).

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

21232144344042 is a wasteful number, since it uses less digits than its factorization.

21232144344042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174408 (or 174402 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21232144344042 its reverse (24044344123212), we get a palindrome (45276488467254).

The spelling of 21232144344042 in words is "twenty-one trillion, two hundred thirty-two billion, one hundred forty-four million, three hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 647 1294 1941 3571 3882 5823 7142 10713 11646 17469 21426 32139 34938 64278 96417 170179 192834 340358 510537 1021074 1531611 2310437 3063222 4594833 4620874 6931311 9189666 13862622 20793933 41587866 62381799 110105813 124763598 220211626 330317439 607709209 660634878 990952317 1215418418 1823127627 1981904634 2972856951 3646255254 5469382881 5945713902 10938765762 16408148643 32816297286 393187858223 786375716446 1179563574669 2359127149338 3538690724007 7077381448014 10616072172021 21232144344042