Base | Representation |
---|---|
bin | 11101101111111001110… |
… | …101100001001101010000 |
3 | 21020102200212000221111212 |
4 | 131233321311201031100 |
5 | 231443212030201112 |
6 | 4203050001355252 |
7 | 300460453656503 |
oct | 35577165411520 |
9 | 7212625027455 |
10 | 2044301022032 |
11 | 718a8a6a5395 |
12 | 290248338b28 |
13 | 11aa13703389 |
14 | 70d3236d13a |
15 | 3829c39b522 |
hex | 1dbf9d61350 |
2044301022032 has 80 divisors (see below), whose sum is σ = 4236798448080. Its totient is φ = 952184733696.
The previous prime is 2044301021969. The next prime is 2044301022037. The reversal of 2044301022032 is 2302201034402.
It can be written as a sum of positive squares in 8 ways, for example, as 494315861776 + 1549985160256 = 703076^2 + 1244984^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2044301021989 and 2044301022007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2044301022037) 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 15 ways as a sum of consecutive naturals, for example, 28218368 + ... + 28290720.
It is an arithmetic number, because the mean of its divisors is an integer number (52959980601).
Almost surely, 22044301022032 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 2044301022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118399224040).
2044301022032 is an abundant number, since it is smaller than the sum of its proper divisors (2192497426048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2044301022032 is a wasteful number, since it uses less digits than its factorization.
2044301022032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73440 (or 73434 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
Adding to 2044301022032 its reverse (2302201034402), we get a palindrome (4346502056434).
The spelling of 2044301022032 in words is "two trillion, forty-four billion, three hundred one million, twenty-two thousand, thirty-two".
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