| Base | Representation |
|---|---|
| bin | 110111001101111110110011… |
| … | …111111100110101010000000 |
| 3 | 1011211212112221220112121212000 |
| 4 | 313031332303333212222000 |
| 5 | 223312402133014102200 |
| 6 | 2220301142535104000 |
| 7 | 102103401355042032 |
| oct | 6715766377465200 |
| 9 | 1154775856477760 |
| 10 | 242853355612800 |
| 11 | 70420591084569 |
| 12 | 232a2735512000 |
| 13 | a567c8608b49a |
| 14 | 43d8245179c52 |
| 15 | 1d1228e30b300 |
| hex | dcdfb3fe6a80 |
242853355612800 has 384 divisors, whose sum is σ = 888955194000000. Its totient is φ = 64747824906240.
The previous prime is 242853355612789. The next prime is 242853355612801. The reversal of 242853355612800 is 8216553358242.
242853355612800 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 5 + 3 + 3 + 556 + 1 + 2 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (242853355612801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431632464 + ... + 432194736.
It is an arithmetic number, because the mean of its divisors is an integer number (2314987484375).
Almost surely, 2242853355612800 is an apocalyptic number.
242853355612800 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 242853355612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444477597000000).
242853355612800 is an abundant number, since it is smaller than the sum of its proper divisors (646101838387200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242853355612800 is a wasteful number, since it uses less digits than its factorization.
242853355612800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 567305 (or 567282 counting only the distinct ones).
The product of its (nonzero) digits is 13824000, while the sum is 54.
The spelling of 242853355612800 in words is "two hundred forty-two trillion, eight hundred fifty-three billion, three hundred fifty-five million, six hundred twelve thousand, eight hundred".
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