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4042133310303 = 3211192148927863
BaseRepresentation
bin111010110100100001111…
…010111000101101011111
3112022102110012221122000100
4322310201322320231133
51012211242111412203
612332532545032143
7565014555144354
oct72644172705537
915272405848010
104042133310303
11131929396a280
12553486325653
1323422cb2c78a
14dd8d6d8862b
1570229dd8ea3
hex3ad21eb8b5f

4042133310303 has 24 divisors (see below), whose sum is σ = 6704654935680. Its totient is φ = 2320842090960.

The previous prime is 4042133310253. The next prime is 4042133310343. The reversal of 4042133310303 is 3030133312404.

4042133310303 is a `hidden beast` number, since 4 + 0 + 4 + 21 + 3 + 331 + 0 + 303 = 666.

4042133310303 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042133310303 - 216 = 4042133244767 is a prime.

It is a super-2 number, since 2×40421333103032 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042133310343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074462051 + ... + 1074465812.

It is an arithmetic number, because the mean of its divisors is an integer number (279360622320).

Almost surely, 24042133310303 is an apocalyptic number.

4042133310303 is a deficient number, since it is larger than the sum of its proper divisors (2662521625377).

4042133310303 is a wasteful number, since it uses less digits than its factorization.

4042133310303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148927899 (or 2148927896 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 4042133310303 its reverse (3030133312404), we get a palindrome (7072266622707).

The spelling of 4042133310303 in words is "four trillion, forty-two billion, one hundred thirty-three million, three hundred ten thousand, three hundred three".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 2148927863 6446783589 19340350767 23638206493 40829629397 70914619479 122488888191 212743858437 367466664573 449125923367 1347377770101 4042133310303