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10042010344 = 235237239689
BaseRepresentation
bin10010101101000110…
…01110101011101000
3221220211210222111001
421112203032223220
5131031223312334
64340243044344
7503564452042
oct112643165350
927824728431
1010042010344
1142934a9003
121b430706b4
13c40609072
146b397aa92
153db90a714
hex2568ceae8

10042010344 has 16 divisors (see below), whose sum is σ = 18832443300. Its totient is φ = 5020025472.

The previous prime is 10042010333. The next prime is 10042010357. The reversal of 10042010344 is 44301024001.

10042010344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8322912900 + 1719097444 = 91230^2 + 41462^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 77949 + ... + 161740.

Almost surely, 210042010344 is an apocalyptic number.

It is an amenable number.

10042010344 is a deficient number, since it is larger than the sum of its proper divisors (8790432956).

10042010344 is a wasteful number, since it uses less digits than its factorization.

10042010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244932 (or 244928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10042010344 its reverse (44301024001), we get a palindrome (54343034345).

The spelling of 10042010344 in words is "ten billion, forty-two million, ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 5237 10474 20948 41896 239689 479378 958756 1917512 1255251293 2510502586 5021005172 10042010344