Search a number
-
+
2042330045 = 57319233269
BaseRepresentation
bin111100110111011…
…0111101110111101
312021100000010010112
41321232313232331
513140314030140
6534354115405
7101416343000
oct17156675675
95240003115
102042330045
11958929878
1248bb7bb65
13267178622
14155357537
15be474c65
hex79bb7bbd

2042330045 has 64 divisors (see below), whose sum is σ = 3032640000. Its totient is φ = 1316141568.

The previous prime is 2042329999. The next prime is 2042330047. The reversal of 2042330045 is 5400332402.

It is not a de Polignac number, because 2042330045 - 210 = 2042329021 is a prime.

It is a super-2 number, since 2×20423300452 = 8342224025419404050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042330045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042330047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7592171 + ... + 7592439.

It is an arithmetic number, because the mean of its divisors is an integer number (47385000).

Almost surely, 22042330045 is an apocalyptic number.

It is an amenable number.

2042330045 is a deficient number, since it is larger than the sum of its proper divisors (990309955).

2042330045 is a wasteful number, since it uses less digits than its factorization.

2042330045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2042330045 is about 45192.1458330980. The cubic root of 2042330045 is about 1268.7478192590.

Adding to 2042330045 its reverse (5400332402), we get a palindrome (7442662447).

The spelling of 2042330045 in words is "two billion, forty-two million, three hundred thirty thousand, forty-five".

Divisors: 1 5 7 19 35 49 95 133 233 245 269 343 665 931 1165 1345 1631 1715 1883 4427 4655 5111 6517 8155 9415 11417 13181 22135 25555 30989 32585 35777 57085 62677 65905 79919 92267 154945 178885 216923 250439 313385 399595 438739 461335 1084615 1190863 1252195 1518461 1753073 2193695 3071173 5954315 7592305 8336041 8765365 15355865 21498211 41680205 58352287 107491055 291761435 408466009 2042330045