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10442145344 = 26163158521
BaseRepresentation
bin10011011100110011…
…00111111001000000
3222221201201221111212
421232121213321000
5132341142122334
64444055225252
7516523525301
oct115631477100
928851657455
1010442145344
114479356394
122035078228
13ca5496c37
14710b787a8
15411ae8ece
hex26e667e40

10442145344 has 14 divisors (see below), whose sum is σ = 20721132294. Its totient is φ = 5221072640.

The previous prime is 10442145341. The next prime is 10442145347. The reversal of 10442145344 is 44354124401.

10442145344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10442145341) and next prime (10442145347).

It can be written as a sum of positive squares in only one way, i.e., 8333498944 + 2108646400 = 91288^2 + 45920^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10442145344.

It is not an unprimeable number, because it can be changed into a prime (10442145341) 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 as a sum of consecutive naturals, namely, 81579197 + ... + 81579324.

Almost surely, 210442145344 is an apocalyptic number.

It is an amenable number.

10442145344 is a deficient number, since it is larger than the sum of its proper divisors (10278986950).

10442145344 is an equidigital number, since it uses as much as digits as its factorization.

10442145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163158533 (or 163158523 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 10442145344 its reverse (44354124401), we get a palindrome (54796269745).

The spelling of 10442145344 in words is "ten billion, four hundred forty-two million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 163158521 326317042 652634084 1305268168 2610536336 5221072672 10442145344