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4442113300041 = 32798277554653
BaseRepresentation
bin100000010100100001010…
…0101011101011001001001
3120201122212111212101002100
41000221002211131121021
51040234422001100131
613240402332224013
7635634465024414
oct100510245353111
916648774771070
104442113300041
11146298717466a
125b8ab290b009
13262b74282b11
14114ddc61cb7b
157a839b7d7e6
hex40a4295d649

4442113300041 has 24 divisors (see below), whose sum is σ = 6505463652480. Its totient is φ = 2920386714336.

The previous prime is 4442113300007. The next prime is 4442113300061. The reversal of 4442113300041 is 1400033112444.

4442113300041 is a `hidden beast` number, since 444 + 211 + 3 + 3 + 0 + 0 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 4442113300041 - 218 = 4442113037897 is a prime.

It is a super-2 number, since 2×44421133000412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4442113299978 and 4442113300014.

It is not an unprimeable number, because it can be changed into a prime (4442113300061) 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 in 23 ways as a sum of consecutive naturals, for example, 3189330 + ... + 4365323.

It is an arithmetic number, because the mean of its divisors is an integer number (271060985520).

Almost surely, 24442113300041 is an apocalyptic number.

It is an amenable number.

4442113300041 is a deficient number, since it is larger than the sum of its proper divisors (2063350352439).

4442113300041 is a wasteful number, since it uses less digits than its factorization.

4442113300041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555565 (or 7555562 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4442113300041 its reverse (1400033112444), we get a palindrome (5842146412485).

The spelling of 4442113300041 in words is "four trillion, four hundred forty-two billion, one hundred thirteen million, three hundred thousand, forty-one".

Divisors: 1 3 9 79 237 711 827 2481 7443 65333 195999 587997 7554653 22663959 67991877 596817587 1790452761 5371358283 6247698031 18743094093 56229282279 493568144449 1480704433347 4442113300041