Search a number
-
+
10442010144 = 253108770939
BaseRepresentation
bin10011011100110010…
…00110111000100000
3222221201111002001110
421232121012320200
5132341123311034
64444052303320
7516522423156
oct115631067040
928851432043
1010442010144
114479273855
122035011b40
13ca544a537
14710b413d6
15411abdde9
hex26e646e20

10442010144 has 24 divisors (see below), whose sum is σ = 27410276880. Its totient is φ = 3480670016.

The previous prime is 10442010119. The next prime is 10442010179. The reversal of 10442010144 is 44101024401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10442010144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54385374 + ... + 54385565.

It is an arithmetic number, because the mean of its divisors is an integer number (1142094870).

Almost surely, 210442010144 is an apocalyptic number.

It is an amenable number.

10442010144 is an abundant number, since it is smaller than the sum of its proper divisors (16968266736).

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

10442010144 is a wasteful number, since it uses less digits than its factorization.

10442010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108770952 (or 108770944 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10442010144 its reverse (44101024401), we get a palindrome (54543034545).

The spelling of 10442010144 in words is "ten billion, four hundred forty-two million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 108770939 217541878 326312817 435083756 652625634 870167512 1305251268 1740335024 2610502536 3480670048 5221005072 10442010144