Base | Representation |
---|---|
bin | 100000001011010011001… |
… | …1101101000001100010100 |
3 | 120122202202200020102211100 |
4 | 1000112212131220030110 |
5 | 1034423344404212434 |
6 | 13223325535310100 |
7 | 634334031622221 |
oct | 100264635501424 |
9 | 16582680212740 |
10 | 4422314132244 |
11 | 1455547046878 |
12 | 5b50a807b330 |
13 | 26103a394208 |
14 | 114080c94948 |
15 | 7a07b883699 |
hex | 405a6768314 |
4422314132244 has 36 divisors (see below), whose sum is σ = 11198273535540. Its totient is φ = 1471514010240.
The previous prime is 4422314132219. The next prime is 4422314132267.
4422314132244 is a `hidden beast` number, since 4 + 4 + 2 + 231 + 413 + 2 + 2 + 4 + 4 = 666.
4422314132244 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 646676522244 + 3775637610000 = 804162^2 + 1943100^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 4422314132199 and 4422314132208.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 107925087 + ... + 107966054.
It is an arithmetic number, because the mean of its divisors is an integer number (311063153765).
Almost surely, 24422314132244 is an apocalyptic number.
It is an amenable number.
4422314132244 is an abundant number, since it is smaller than the sum of its proper divisors (6775959403296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4422314132244 is a wasteful number, since it uses less digits than its factorization.
4422314132244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 215891720 (or 215891715 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
The spelling of 4422314132244 in words is "four trillion, four hundred twenty-two billion, three hundred fourteen million, one hundred thirty-two thousand, two hundred forty-four".
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