| Base | Representation |
|---|---|
| bin | 10011000111010011110000… |
| … | …01011010110011110110000 |
| 3 | 12111211021101210211020121000 |
| 4 | 21203221320023112132300 |
| 5 | 21002130143421401430 |
| 6 | 225221254440002000 |
| 7 | 11565516113506020 |
| oct | 1143517013263660 |
| 9 | 174737353736530 |
| 10 | 42032566200240 |
| 11 | 12435a02919130 |
| 12 | 486a239460300 |
| 13 | 1a5b866a614b5 |
| 14 | a5455c137a80 |
| 15 | 4cd56bc78e60 |
| hex | 263a782d67b0 |
42032566200240 has 640 divisors, whose sum is σ = 180559140618240. Its totient is φ = 8731346918400.
The previous prime is 42032566200173. The next prime is 42032566200271. The reversal of 42032566200240 is 4200266523024.
42032566200240 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 2 + 5 + 6 + 620 + 0 + 24 + 0 = 666.
42032566200240 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 = 42032566200195 and 42032566200204.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 563953857 + ... + 564028383.
It is an arithmetic number, because the mean of its divisors is an integer number (282123657216).
Almost surely, 242032566200240 is an apocalyptic number.
42032566200240 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 42032566200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90279570309120).
42032566200240 is an abundant number, since it is smaller than the sum of its proper divisors (138526574418000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42032566200240 is a wasteful number, since it uses less digits than its factorization.
42032566200240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77958 (or 77946 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The spelling of 42032566200240 in words is "forty-two trillion, thirty-two billion, five hundred sixty-six million, two hundred thousand, two hundred forty".
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