Base | Representation |
---|---|
bin | 1100110111100001000… |
… | …01101011010110001010 |
3 | 1120021012020120220122000 |
4 | 12123300201223112022 |
5 | 24220431214234310 |
6 | 535035201211430 |
7 | 43641124125450 |
oct | 6336041532612 |
9 | 1507166526560 |
10 | 442122024330 |
11 | 1605593a1758 |
12 | 71829930b76 |
13 | 328cc2203ac |
14 | 175825109d0 |
15 | b7798484c0 |
hex | 66f086b58a |
442122024330 has 128 divisors (see below), whose sum is σ = 1406003097600. Its totient is φ = 96662693952.
The previous prime is 442122024329. The next prime is 442122024361. The reversal of 442122024330 is 33420221244.
442122024330 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 220 + 2 + 433 + 0 = 666.
It is a super-2 number, since 2×4421220243302 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 442122024294 and 442122024303.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 5041900 + ... + 5128839.
It is an arithmetic number, because the mean of its divisors is an integer number (10984399200).
Almost surely, 2442122024330 is an apocalyptic number.
442122024330 is an abundant number, since it is smaller than the sum of its proper divisors (963881073270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442122024330 is a wasteful number, since it uses less digits than its factorization.
442122024330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10170785 (or 10170779 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 442122024330 its reverse (33420221244), we get a palindrome (475542245574).
The spelling of 442122024330 in words is "four hundred forty-two billion, one hundred twenty-two million, twenty-four thousand, three hundred thirty".
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