| Base | Representation |
|---|---|
| bin | 111101101111000010101… |
| … | …111101011100000000000 |
| 3 | 120000120101011001112222221 |
| 4 | 331233002233223200000 |
| 5 | 1024001413400000000 |
| 6 | 13004533123140424 |
| 7 | 615334425004351 |
| oct | 75570257534000 |
| 9 | 16016334045887 |
| 10 | 4242400000000 |
| 11 | 1396212223388 |
| 12 | 586257214714 |
| 13 | 24a097485ab6 |
| 14 | 10949464bd28 |
| 15 | 7554b98c61a |
| hex | 3dbc2beb800 |
4242400000000 has 216 divisors, whose sum is σ = 10605404726280. Its totient is φ = 1696640000000.
The previous prime is 4242399999997. The next prime is 4242400000019. The reversal of 4242400000000 is 42424.
4242400000000 is digitally balanced in base 2, because in such base 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 (16).
It is a self number, because there is not a number n which added to its sum of digits gives 4242400000000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 799997349 + ... + 800002651.
It is an arithmetic number, because the mean of its divisors is an integer number (49099095955).
Almost surely, 24242400000000 is an apocalyptic number.
4242400000000 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 4242400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302702363140).
4242400000000 is an abundant number, since it is smaller than the sum of its proper divisors (6363004726280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4242400000000 is an frugal number, since it uses more digits than its factorization.
4242400000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5365 (or 5310 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
Adding to 4242400000000 its reverse (42424), we get a palindrome (4242400042424).
4242400000000 divided by its reverse (42424) gives a 8-th power (100000000 = 108).
The spelling of 4242400000000 in words is "four trillion, two hundred forty-two billion, four hundred million", and thus it is an aban number.
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