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44001324024 = 23371132317811
BaseRepresentation
bin101000111110101011…
…101110101111111000
311012120112020212011120
4220332223232233320
51210103314332044
632114113025240
73115252040340
oct507653565770
9135515225146
1044001324024
111772a666aa9
12863bb55220
1341c3048808
1421b5b87d20
151227e1e519
hexa3eaeebf8

44001324024 has 64 divisors (see below), whose sum is σ = 126830672640. Its totient is φ = 12460546560.

The previous prime is 44001323969. The next prime is 44001324049. The reversal of 44001324024 is 42042310044.

It is a happy number.

It is a super-2 number, since 2×440013240242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44001323985 and 44001324003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139922 + ... + 1177889.

It is an arithmetic number, because the mean of its divisors is an integer number (1981729260).

Almost surely, 244001324024 is an apocalyptic number.

It is an amenable number.

44001324024 is an abundant number, since it is smaller than the sum of its proper divisors (82829348616).

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

44001324024 is a wasteful number, since it uses less digits than its factorization.

44001324024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317940 (or 2317936 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44001324024 its reverse (42042310044), we get a palindrome (86043634068).

The spelling of 44001324024 in words is "forty-four billion, one million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 18984 2317811 4635622 6953433 9271244 13906866 16224677 18542488 27813732 32449354 48674031 55627464 64898708 97348062 129797416 194696124 261912643 389392248 523825286 785737929 1047650572 1571475858 1833388501 2095301144 3142951716 3666777002 5500165503 6285903432 7333554004 11000331006 14667108008 22000662012 44001324024