| Base | Representation |
|---|---|
| bin | 1110001000101101110… |
| … | …1101111100001100000 |
| 3 | 212012212012011120210200 |
| 4 | 3202023131233201200 |
| 5 | 12434333121422212 |
| 6 | 303322321425200 |
| 7 | 23355150632520 |
| oct | 3421335574140 |
| 9 | 765765146720 |
| 10 | 242857998432 |
| 11 | 93aa5010815 |
| 12 | 3b09879b200 |
| 13 | 19b9452786a |
| 14 | ba7c08d680 |
| 15 | 64b5d006dc |
| hex | 388b76f860 |
242857998432 has 288 divisors, whose sum is σ = 807248332800. Its totient is φ = 67813438464.
The previous prime is 242857998413. The next prime is 242857998457. The reversal of 242857998432 is 234899758242.
242857998432 is a `hidden beast` number, since 2 + 4 + 28 + 579 + 9 + 8 + 4 + 32 = 666.
242857998432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 242857998432.
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 47 ways as a sum of consecutive naturals, for example, 87075694 + ... + 87078482.
It is an arithmetic number, because the mean of its divisors is an integer number (2802945600).
Almost surely, 2242857998432 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 242857998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403624166400).
242857998432 is an abundant number, since it is smaller than the sum of its proper divisors (564390334368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242857998432 is a wasteful number, since it uses less digits than its factorization.
242857998432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3778 (or 3767 counting only the distinct ones).
The product of its digits is 69672960, while the sum is 63.
The spelling of 242857998432 in words is "two hundred forty-two billion, eight hundred fifty-seven million, nine hundred ninety-eight thousand, four hundred thirty-two".
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