| Base | Representation |
|---|---|
| bin | 1111110011011110… |
| … | …0011000100100000 |
| 3 | 101221122212021011200 |
| 4 | 3330313203010200 |
| 5 | 32142024420000 |
| 6 | 1540545441200 |
| 7 | 210062655300 |
| oct | 37467430440 |
| 9 | 11848767150 |
| 10 | 4242420000 |
| 11 | 188780aa35 |
| 12 | 9a4940200 |
| 13 | 527c0bbc0 |
| 14 | 2c3619600 |
| 15 | 19c6ad500 |
| hex | fcde3120 |
4242420000 has 1080 divisors, whose sum is σ = 19396413036. Its totient is φ = 870912000.
The previous prime is 4242419999. The next prime is 4242420089. The reversal of 4242420000 is 242424.
4242420000 is a `hidden beast` number, since 4 + 242 + 420 + 0 + 0 + 0 = 666.
4242420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 262828944 + 3979591056 = 16212^2 + 63084^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 114659982 + ... + 114660018.
Almost surely, 24242420000 is an apocalyptic number.
4242420000 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 4242420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698206518).
4242420000 is an abundant number, since it is smaller than the sum of its proper divisors (15153993036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4242420000 is a wasteful number, since it uses less digits than its factorization.
4242420000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 100 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 4242420000 is about 65133.8621609375. The cubic root of 4242420000 is about 1618.8423370751.
Adding to 4242420000 its reverse (242424), we get a palindrome (4242662424).
The spelling of 4242420000 in words is "four billion, two hundred forty-two million, four hundred twenty thousand".
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