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442135242133 = 1365295209129
BaseRepresentation
bin1100110111100010101…
…00000110010110010101
31120021020011110110001021
412123301110012112111
524220443110222013
6535040352401141
743641344356354
oct6336124062625
91507204413037
10442135242133
111605658aa462
12718322461b1
1332901b9a790
141758419199b
15b77aaa9a8d
hex66f1506595

442135242133 has 8 divisors (see below), whose sum is σ = 476218664600. Its totient is φ = 408062251008.

The previous prime is 442135242121. The next prime is 442135242137. The reversal of 442135242133 is 331242531244.

It can be written as a sum of positive squares in 4 ways, for example, as 54027423844 + 388107818289 = 232438^2 + 622983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442135242133 - 213 = 442135233941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442135242137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2519688 + ... + 2689441.

It is an arithmetic number, because the mean of its divisors is an integer number (59527333075).

Almost surely, 2442135242133 is an apocalyptic number.

It is an amenable number.

442135242133 is a deficient number, since it is larger than the sum of its proper divisors (34083422467).

442135242133 is a wasteful number, since it uses less digits than its factorization.

442135242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215671.

The product of its digits is 69120, while the sum is 34.

Adding to 442135242133 its reverse (331242531244), we get a palindrome (773377773377).

The spelling of 442135242133 in words is "four hundred forty-two billion, one hundred thirty-five million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 13 6529 84877 5209129 67718677 34010403241 442135242133