| Base | Representation |
|---|---|
| bin | 1000010000010010… |
| … | …11100100100100000 |
| 3 | 102102211221201111100 |
| 4 | 10020021130210200 |
| 5 | 33034001130334 |
| 6 | 2011425514400 |
| 7 | 214551333315 |
| oct | 41011344440 |
| 9 | 12384851440 |
| 10 | 4431661344 |
| 11 | 1974614840 |
| 12 | a381a2a00 |
| 13 | 55819a226 |
| 14 | 3007dad0c |
| 15 | 1ae0dec99 |
| hex | 10825c920 |
4431661344 has 144 divisors (see below), whose sum is σ = 14346206784. Its totient is φ = 1284518400.
The previous prime is 4431661343. The next prime is 4431661427.
4431661344 is a `hidden beast` number, since 4 + 4 + 31 + 6 + 613 + 4 + 4 = 666.
4431661344 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 4431661299 and 4431661308.
It is not an unprimeable number, because it can be changed into a prime (4431661343) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42454 + ... + 103274.
It is an arithmetic number, because the mean of its divisors is an integer number (99626436).
Almost surely, 24431661344 is an apocalyptic number.
4431661344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4431661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173103392).
4431661344 is an abundant number, since it is smaller than the sum of its proper divisors (9914545440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4431661344 is a wasteful number, since it uses less digits than its factorization.
4431661344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 60871 (or 60860 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 4431661344 is about 66570.7243764104. The cubic root of 4431661344 is about 1642.5635773921.
The spelling of 4431661344 in words is "four billion, four hundred thirty-one million, six hundred sixty-one thousand, three hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.084 sec. • engine limits •