| Base | Representation |
|---|---|
| bin | 10011011110010100101000… |
| … | …11011111100010000000000 |
| 3 | 12121121212110101212102211200 |
| 4 | 21233022110123330100000 |
| 5 | 21103104121424400020 |
| 6 | 231024431535541200 |
| 7 | 12006611435424540 |
| oct | 1157122433742000 |
| 9 | 177555411772750 |
| 10 | 42823314293760 |
| 11 | 127102a1576620 |
| 12 | 497754138a800 |
| 13 | 1ab82b4ccb4a0 |
| 14 | a80933833320 |
| 15 | 4e3decbd0590 |
| hex | 26f2946fc400 |
42823314293760 has 4224 divisors, whose sum is σ = 211878672445440. Its totient is φ = 7701449932800.
The previous prime is 42823314293759. The next prime is 42823314293777. The reversal of 42823314293760 is 6739241332824.
It is a happy number.
42823314293760 is a `hidden beast` number, since 4 + 2 + 8 + 233 + 14 + 29 + 376 + 0 = 666.
42823314293760 is digitally balanced in base 6, 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 (4224).
It is a junction number, because it is equal to n+sod(n) for n = 42823314293697 and 42823314293706.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114807812934 + ... + 114807813306.
It is an arithmetic number, because the mean of its divisors is an integer number (50160670560).
Almost surely, 242823314293760 is an apocalyptic number.
42823314293760 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 42823314293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105939336222720).
42823314293760 is an abundant number, since it is smaller than the sum of its proper divisors (169055358151680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42823314293760 is a wasteful number, since it uses less digits than its factorization.
42823314293760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 585 (or 564 counting only the distinct ones).
The product of its (nonzero) digits is 10450944, while the sum is 54.
The spelling of 42823314293760 in words is "forty-two trillion, eight hundred twenty-three billion, three hundred fourteen million, two hundred ninety-three thousand, seven hundred sixty".
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