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442430102433313 = 6531775533815957
BaseRepresentation
bin110010010011000110100100…
…1000101111110111000100001
32011000111220102112122101212201
41210212031021011332320201
5430442233322210331223
64204545325544053201
7162122343244612411
oct14446151105767041
92130456375571781
10442430102433313
11118a76609770605
1241755b02164201
1315cb3c97366217
147b37a34646641
153623950330ead
hex192634917ee21

442430102433313 has 8 divisors (see below), whose sum is σ = 443110248802728. Its totient is φ = 441749964052224.

The previous prime is 442430102433307. The next prime is 442430102433349. The reversal of 442430102433313 is 313334201034244.

It can be written as a sum of positive squares in 4 ways, for example, as 18999765112384 + 423430337320929 = 4358872^2 + 20577423^2 .

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 442430102433313 - 225 = 442430068878881 is a prime.

It is a super-2 number, since 2×4424301024333132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442430102433383) 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 7 ways as a sum of consecutive naturals, for example, 114034131 + ... + 117850087.

It is an arithmetic number, because the mean of its divisors is an integer number (55388781100341).

Almost surely, 2442430102433313 is an apocalyptic number.

It is an amenable number.

442430102433313 is a deficient number, since it is larger than the sum of its proper divisors (680146369415).

442430102433313 is a wasteful number, since it uses less digits than its factorization.

442430102433313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994163.

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 442430102433313 its reverse (313334201034244), we get a palindrome (755764303467557).

The spelling of 442430102433313 in words is "four hundred forty-two trillion, four hundred thirty billion, one hundred two million, four hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 653 177553 3815957 115942109 2491819921 677534613221 442430102433313