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10442412440 = 23512716312611
BaseRepresentation
bin10011011100110101…
…01001000110011000
3222221202020111220022
421232122221012120
5132341224144230
64444105050012
7516526020065
oct115632510630
928852214808
1010442412440
114479519029
122035186908
13ca555b695
14710c07c6c
15411b4d1e5
hex26e6a9198

10442412440 has 64 divisors (see below), whose sum is σ = 23827599360. Its totient is φ = 4118325120.

The previous prime is 10442412439. The next prime is 10442412473. The reversal of 10442412440 is 4421424401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821735 + ... + 834345.

It is an arithmetic number, because the mean of its divisors is an integer number (372306240).

Almost surely, 210442412440 is an apocalyptic number.

10442412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442412440 is an abundant number, since it is smaller than the sum of its proper divisors (13385186920).

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

10442412440 is a wasteful number, since it uses less digits than its factorization.

10442412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12912 (or 12908 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 10442412440 its reverse (4421424401), we get a palindrome (14863836841).

The spelling of 10442412440 in words is "ten billion, four hundred forty-two million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 127 163 254 326 508 635 652 815 1016 1270 1304 1630 2540 3260 5080 6520 12611 20701 25222 41402 50444 63055 82804 100888 103505 126110 165608 207010 252220 414020 504440 828040 1601597 2055593 3203194 4111186 6406388 8007985 8222372 10277965 12812776 16015970 16444744 20555930 32031940 41111860 64063880 82223720 261060311 522120622 1044241244 1305301555 2088482488 2610603110 5221206220 10442412440