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2042330444 = 2271121931727
BaseRepresentation
bin111100110111011…
…0111110101001100
312021100000010200022
41321232313311030
513140314033234
6534354121312
7101416344110
oct17156676514
95240003608
102042330444
1195892a100
1248bb80238
1326717886b
14155357740
15be474e2e
hex79bb7d4c

2042330444 has 72 divisors (see below), whose sum is σ = 4726202880. Its totient is φ = 753809760.

The previous prime is 2042330429. The next prime is 2042330509. The reversal of 2042330444 is 4440332402.

It is a super-2 number, since 2×20423304442 = 8342227284978474272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48509 + ... + 80235.

Almost surely, 22042330444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042330444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363101440).

2042330444 is an abundant number, since it is smaller than the sum of its proper divisors (2683872436).

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

2042330444 is a wasteful number, since it uses less digits than its factorization.

2042330444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31779 (or 31766 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2042330444 is about 45192.1502475817. The cubic root of 2042330444 is about 1268.7479018820.

Adding to 2042330444 its reverse (4440332402), we get a palindrome (6482662846).

The spelling of 2042330444 in words is "two billion, forty-two million, three hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 209 242 266 308 418 484 532 836 847 1463 1694 2299 2926 3388 4598 5852 9196 16093 31727 32186 63454 64372 126908 222089 348997 444178 602813 697994 888356 1205626 1395988 2411252 2442979 3838967 4219691 4885958 6630943 7677934 8439382 9771916 13261886 15355868 16878764 26523772 26872769 46416601 53745538 72940373 92833202 107491076 145880746 185666404 291761492 510582611 1021165222 2042330444