| Base | Representation |
|---|---|
| bin | 1111010010011111… |
| … | …1010100001000100 |
| 3 | 101121000121002022000 |
| 4 | 3310213322201010 |
| 5 | 31401122312004 |
| 6 | 1515125105300 |
| 7 | 203463210540 |
| oct | 36447724104 |
| 9 | 11530532260 |
| 10 | 4104104004 |
| 11 | 18167290a0 |
| 12 | 966558230 |
| 13 | 505371210 |
| 14 | 2ad0d2a20 |
| 15 | 19048ac39 |
| hex | f49fa844 |
4104104004 has 192 divisors, whose sum is σ = 14286612480. Its totient is φ = 983975040.
The previous prime is 4104103963. The next prime is 4104104009. The reversal of 4104104004 is 4004014014.
4104104004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
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 (4104104009) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89127 + ... + 127089.
It is an arithmetic number, because the mean of its divisors is an integer number (74409440).
Almost surely, 24104104004 is an apocalyptic number.
4104104004 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 4104104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143306240).
4104104004 is an abundant number, since it is smaller than the sum of its proper divisors (10182508476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4104104004 is a wasteful number, since it uses less digits than its factorization.
4104104004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38007 (or 37999 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 4104104004 is about 64063.2812459680. The cubic root of 4104104004 is about 1601.0545137020.
Adding to 4104104004 its reverse (4004014014), we get a palindrome (8108118018).
It can be divided in two parts, 410410 and 4004, that added together give a palindrome (414414).
The spelling of 4104104004 in words is "four billion, one hundred four million, one hundred four thousand, four".
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