Base | Representation |
---|---|
bin | 1110111011111010… |
… | …0110000100000001 |
3 | 101100102100220221201 |
4 | 3232332212010001 |
5 | 31202400324431 |
6 | 1501503021201 |
7 | 201233135500 |
oct | 35676460401 |
9 | 11312326851 |
10 | 4009386241 |
11 | 1778215253 |
12 | 93a89a801 |
13 | 4bb859ac3 |
14 | 2a06b8837 |
15 | 186ecb461 |
hex | eefa6101 |
4009386241 has 48 divisors (see below), whose sum is σ = 4893281280. Its totient is φ = 3273204480.
The previous prime is 4009386217. The next prime is 4009386253. The reversal of 4009386241 is 1426839004.
4009386241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 4009386241 - 27 = 4009386113 is a prime.
It is a super-2 number, since 2×40093862412 = 32150356059040220162, which contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 4009386241.
It is not an unprimeable number, because it can be changed into a prime (4009386211) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20991456 + ... + 20991646.
It is an arithmetic number, because the mean of its divisors is an integer number (101943360).
Almost surely, 24009386241 is an apocalyptic number.
It is an amenable number.
4009386241 is a deficient number, since it is larger than the sum of its proper divisors (883895039).
4009386241 is a wasteful number, since it uses less digits than its factorization.
4009386241 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 454 (or 447 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 37.
The square root of 4009386241 is about 63319.7144734561. The cubic root of 4009386241 is about 1588.6417261046.
The spelling of 4009386241 in words is "four billion, nine million, three hundred eighty-six thousand, two hundred forty-one".
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