Base | Representation |
---|---|
bin | 10101110101011001… |
… | …011101010100010000 |
3 | 2020111212212011201202 |
4 | 111311121131110100 |
5 | 341003234210212 |
6 | 14434211450332 |
7 | 1456655326643 |
oct | 256531352420 |
9 | 66455764652 |
10 | 23444444432 |
11 | 9a40861112 |
12 | 46635b69a8 |
13 | 2298192236 |
14 | 11c5941a5a |
15 | 9233520c2 |
hex | 57565d510 |
23444444432 has 40 divisors (see below), whose sum is σ = 47928703200. Its totient is φ = 11078698752.
The previous prime is 23444444407. The next prime is 23444444437.
23444444432 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (38).
It is not an unprimeable number, because it can be changed into a prime (23444444437) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 35348 + ... + 219404.
It is an arithmetic number, because the mean of its divisors is an integer number (1198217580).
Almost surely, 223444444432 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 23444444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964351600).
23444444432 is an abundant number, since it is smaller than the sum of its proper divisors (24484258768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23444444432 is a wasteful number, since it uses less digits than its factorization.
23444444432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184503 (or 184497 counting only the distinct ones).
The product of its digits is 589824, while the sum is 38.
The spelling of 23444444432 in words is "twenty-three billion, four hundred forty-four million, four hundred forty-four thousand, four hundred thirty-two".
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