Base | Representation |
---|---|
bin | 101111111111100000010000… |
… | …1010000000010010101001000 |
3 | 2001100200121020022221211001211 |
4 | 1133333000201100002111020 |
5 | 420312403013140104344 |
6 | 4053454225445422504 |
7 | 154626630241326430 |
oct | 13777004120022510 |
9 | 2040617208854054 |
10 | 422144303441224 |
11 | 112565437016751 |
12 | 3b41a48910aa34 |
13 | 151720633b0760 |
14 | 7635c713252c0 |
15 | 33c0e1e8c7334 |
hex | 17ff021402548 |
422144303441224 has 128 divisors (see below), whose sum is σ = 978849500428800. Its totient is φ = 166202402549760.
The previous prime is 422144303441183. The next prime is 422144303441239.
422144303441224 is nontrivially palindromic in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272751754 + ... + 274295110.
It is an arithmetic number, because the mean of its divisors is an integer number (7647261722100).
Almost surely, 2422144303441224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 422144303441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489424750214400).
422144303441224 is an abundant number, since it is smaller than the sum of its proper divisors (556705196987576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422144303441224 is a wasteful number, since it uses less digits than its factorization.
422144303441224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1545183 (or 1545179 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 40.
It can be divided in two parts, 42214430 and 3441224, that added together give a palindrome (45655654).
The spelling of 422144303441224 in words is "four hundred twenty-two trillion, one hundred forty-four billion, three hundred three million, four hundred forty-one thousand, two hundred twenty-four".
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