| Base | Representation |
|---|---|
| bin | 1111011011101000… |
| … | …0110000000100000 |
| 3 | 101200200200221120200 |
| 4 | 3312322012000200 |
| 5 | 31440430032341 |
| 6 | 1523014305200 |
| 7 | 204440011116 |
| oct | 36672060040 |
| 9 | 11620627520 |
| 10 | 4142424096 |
| 11 | 1836321598 |
| 12 | 977358200 |
| 13 | 51029a225 |
| 14 | 2b4229ab6 |
| 15 | 193a09db6 |
| hex | f6e86020 |
4142424096 has 144 divisors (see below), whose sum is σ = 12184263000. Its totient is φ = 1333960704.
The previous prime is 4142424089. The next prime is 4142424107. The reversal of 4142424096 is 6904242414.
It is a happy number.
4142424096 is a `hidden beast` number, since 4 + 1 + 4 + 242 + 409 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3535491600 + 606932496 = 59460^2 + 24636^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×41424240962 = 34319354782242834432, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 4142424096.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586440 + ... + 1589048.
Almost surely, 24142424096 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4142424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092131500).
4142424096 is an abundant number, since it is smaller than the sum of its proper divisors (8041838904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4142424096 is a wasteful number, since it uses less digits than its factorization.
4142424096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 4142424096 is about 64361.6663550595. Note that the first 3 decimals coincide. The cubic root of 4142424096 is about 1606.0221096021.
The spelling of 4142424096 in words is "four billion, one hundred forty-two million, four hundred twenty-four thousand, ninety-six".
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