| Base | Representation |
|---|---|
| bin | 1111101010011010… |
| … | …0001110100100000 |
| 3 | 101212000022212000200 |
| 4 | 3322212201310200 |
| 5 | 32102311412000 |
| 6 | 1533110545200 |
| 7 | 206121562416 |
| oct | 37246416440 |
| 9 | 11760285020 |
| 10 | 4204404000 |
| 11 | 1868304a55 |
| 12 | 994068200 |
| 13 | 52008b424 |
| 14 | 2bc5612b6 |
| 15 | 19919e500 |
| hex | fa9a1d20 |
4204404000 has 144 divisors (see below), whose sum is σ = 14921557560. Its totient is φ = 1121164800.
The previous prime is 4204403993. The next prime is 4204404007. The reversal of 4204404000 is 4044024.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (4204403993) and next prime (4204404007).
It can be written as a sum of positive squares in 4 ways, for example, as 191434896 + 4012969104 = 13836^2 + 63348^2 .
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 (18).
It is not an unprimeable number, because it can be changed into a prime (4204404007) 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, 22395 + ... + 94394.
Almost surely, 24204404000 is an apocalyptic number.
4204404000 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 4204404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460778780).
4204404000 is an abundant number, since it is smaller than the sum of its proper divisors (10717153560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4204404000 is a wasteful number, since it uses less digits than its factorization.
4204404000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116820 (or 116799 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 4204404000 is about 64841.3756794225. The cubic root of 4204404000 is about 1613.9923807585.
Adding to 4204404000 its reverse (4044024), we get a palindrome (4208448024).
The spelling of 4204404000 in words is "four billion, two hundred four million, four hundred four thousand".
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