Base | Representation |
---|---|
bin | 1111010111101000100… |
… | …0011101110000011000 |
3 | 221020112112200121211021 |
4 | 3311322020131300120 |
5 | 13311224230410230 |
6 | 321144345212224 |
7 | 25035131226556 |
oct | 3657210356030 |
9 | 836475617737 |
10 | 264042044440 |
11 | a1a8593a059 |
12 | 4320b191074 |
13 | 1bb8c2cc025 |
14 | cacb710bd6 |
15 | 6d059a4c7a |
hex | 3d7a21dc18 |
264042044440 has 64 divisors (see below), whose sum is σ = 603293184000. Its totient is φ = 103988976000.
The previous prime is 264042044323. The next prime is 264042044443. The reversal of 264042044440 is 44440240462.
264042044440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2640420444403 (a number of 35 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 264042044396 and 264042044405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264042044443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018065 + ... + 1250815.
It is an arithmetic number, because the mean of its divisors is an integer number (9426456000).
Almost surely, 2264042044440 is an apocalyptic number.
264042044440 is a gapful number since it is divisible by the number (20) 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 264042044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301646592000).
264042044440 is an abundant number, since it is smaller than the sum of its proper divisors (339251139560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264042044440 is a wasteful number, since it uses less digits than its factorization.
264042044440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233200 (or 233196 counting only the distinct ones).
The product of its (nonzero) digits is 98304, while the sum is 34.
The spelling of 264042044440 in words is "two hundred sixty-four billion, forty-two million, forty-four thousand, four hundred forty".
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