| Base | Representation |
|---|---|
| bin | 1111000011101111… |
| … | …0001101110010000 |
| 3 | 101102201010010201012 |
| 4 | 3300323301232100 |
| 5 | 31234300431000 |
| 6 | 1505034230052 |
| 7 | 202112102324 |
| oct | 36073615620 |
| 9 | 11381103635 |
| 10 | 4042202000 |
| 11 | 1794799211 |
| 12 | 949885328 |
| 13 | 4c55a9605 |
| 14 | 2a4bbb984 |
| 15 | 189d0e735 |
| hex | f0ef1b90 |
4042202000 has 80 divisors (see below), whose sum is σ = 9884300400. Its totient is φ = 1598643200.
The previous prime is 4042201997. The next prime is 4042202009. The reversal of 4042202000 is 2022404.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 3310391296 + 731810704 = 57536^2 + 27052^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (4042202009) 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 15 ways as a sum of consecutive naturals, for example, 166646 + ... + 189354.
It is an arithmetic number, because the mean of its divisors is an integer number (123553755).
Almost surely, 24042202000 is an apocalyptic number.
4042202000 is a gapful number since it is divisible by the number (40) 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 4042202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942150200).
4042202000 is an abundant number, since it is smaller than the sum of its proper divisors (5842098400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4042202000 is a wasteful number, since it uses less digits than its factorization.
4042202000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22821 (or 22805 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 14.
The square root of 4042202000 is about 63578.3139128430. The cubic root of 4042202000 is about 1592.9641580141.
Adding to 4042202000 its reverse (2022404), we get a palindrome (4044224404).
The spelling of 4042202000 in words is "four billion, forty-two million, two hundred two thousand".
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