Base | Representation |
---|---|
bin | 1100010010101000100… |
… | …10110110010111100000 |
3 | 1111101002021111210110100 |
4 | 12021110102312113200 |
5 | 23404403140204212 |
6 | 522002301102400 |
7 | 42340336314111 |
oct | 6112422662740 |
9 | 1441067453410 |
10 | 422321022432 |
11 | 153118230981 |
12 | 69a22557a00 |
13 | 30a94b3ba1a |
14 | 1662482a208 |
15 | aebb2d9bdc |
hex | 62544b65e0 |
422321022432 has 144 divisors (see below), whose sum is σ = 1256324797728. Its totient is φ = 134316441600.
The previous prime is 422321022379. The next prime is 422321022449. The reversal of 422321022432 is 234220123224.
422321022432 is a `hidden beast` number, since 4 + 223 + 2 + 1 + 0 + 2 + 2 + 432 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 422321022396 and 422321022405.
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 23 ways as a sum of consecutive naturals, for example, 2576728 + ... + 2735720.
It is an arithmetic number, because the mean of its divisors is an integer number (8724477762).
Almost surely, 2422321022432 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 422321022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628162398864).
422321022432 is an abundant number, since it is smaller than the sum of its proper divisors (834003775296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422321022432 is a wasteful number, since it uses less digits than its factorization.
422321022432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 159433 (or 159422 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 422321022432 its reverse (234220123224), we get a palindrome (656541145656).
The spelling of 422321022432 in words is "four hundred twenty-two billion, three hundred twenty-one million, twenty-two thousand, four hundred thirty-two".
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