| Base | Representation |
|---|---|
| bin | 1110000101111100110… |
| … | …1100101001011010000 |
| 3 | 212010221110011000120000 |
| 4 | 3201133031211023100 |
| 5 | 12431323041023430 |
| 6 | 303120520450000 |
| 7 | 23330564224404 |
| oct | 3413715451320 |
| 9 | 763843130500 |
| 10 | 242115564240 |
| 11 | 93753a18a40 |
| 12 | 3ab10019900 |
| 13 | 19aa677b9a4 |
| 14 | ba0b62b104 |
| 15 | 6470a49e60 |
| hex | 385f3652d0 |
242115564240 has 400 divisors, whose sum is σ = 948989796480. Its totient is φ = 56670243840.
The previous prime is 242115564217. The next prime is 242115564247. The reversal of 242115564240 is 42465511242.
242115564240 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 5 + 5 + 642 + 4 + 0 = 666.
242115564240 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 242115564195 and 242115564204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242115564247) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 2008557 + ... + 2125683.
Almost surely, 2242115564240 is an apocalyptic number.
242115564240 is a gapful number since it is divisible by the number (20) 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 242115564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474494898240).
242115564240 is an abundant number, since it is smaller than the sum of its proper divisors (706874232240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242115564240 is a wasteful number, since it uses less digits than its factorization.
242115564240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117192 (or 117177 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The spelling of 242115564240 in words is "two hundred forty-two billion, one hundred fifteen million, five hundred sixty-four thousand, two hundred forty".
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