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10442444144 = 2411531119473
BaseRepresentation
bin10011011100110101…
…10000110101110000
3222221202022010101112
421232122300311300
5132341231203034
64444105452452
7516526211366
oct115632606560
928852263345
1010442444144
11447953a930
1220351a1128
13ca556cc42
14710c15636
15411b577ce
hex26e6b0d70

10442444144 has 40 divisors (see below), whose sum is σ = 22487993712. Its totient is φ = 4657003520.

The previous prime is 10442444143. The next prime is 10442444167. The reversal of 10442444144 is 44144424401.

10442444144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10442444144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442444141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550409 + ... + 569064.

Almost surely, 210442444144 is an apocalyptic number.

It is an amenable number.

10442444144 is an abundant number, since it is smaller than the sum of its proper divisors (12045549568).

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

10442444144 is a wasteful number, since it uses less digits than its factorization.

10442444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119545 (or 1119539 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 10442444144 its reverse (44144424401), we get a palindrome (54586868545).

The spelling of 10442444144 in words is "ten billion, four hundred forty-two million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 1119473 2238946 4477892 8955784 12314203 17911568 24628406 49256812 59332069 98513624 118664138 197027248 237328276 474656552 652652759 949313104 1305305518 2610611036 5221222072 10442444144