| Base | Representation |
|---|---|
| bin | 1111111101011011… |
| … | …0111011001000000 |
| 3 | 102001120110002210020 |
| 4 | 3333112313121000 |
| 5 | 32233222343003 |
| 6 | 1545040533440 |
| 7 | 211110651510 |
| oct | 37726673100 |
| 9 | 12046402706 |
| 10 | 4284184128 |
| 11 | 18a9345a44 |
| 12 | 9b6921280 |
| 13 | 5337726c3 |
| 14 | 2c8dab840 |
| 15 | 1a11acd53 |
| hex | ff5b7640 |
4284184128 has 224 divisors, whose sum is σ = 13511467008. Its totient is φ = 1173496320.
The previous prime is 4284184117. The next prime is 4284184153. The reversal of 4284184128 is 8214814824.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 4284184128.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 40039051 + ... + 40039157.
Almost surely, 24284184128 is an apocalyptic number.
4284184128 is a gapful number since it is divisible by the number (48) 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 4284184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755733504).
4284184128 is an abundant number, since it is smaller than the sum of its proper divisors (9227282880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4284184128 is an equidigital number, since it uses as much as digits as its factorization.
4284184128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 150 counting only the distinct ones).
The product of its digits is 131072, while the sum is 42.
The square root of 4284184128 is about 65453.6792548746. The cubic root of 4284184128 is about 1624.1371833608.
The spelling of 4284184128 in words is "four billion, two hundred eighty-four million, one hundred eighty-four thousand, one hundred twenty-eight".
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