Base | Representation |
---|---|
bin | 100111011110111101… |
… | …111000110100100000 |
3 | 11001102121120002010200 |
4 | 213132331320310200 |
5 | 1143311220034021 |
6 | 31250510025200 |
7 | 3030412362444 |
oct | 473675706440 |
9 | 131377502120 |
10 | 42395471136 |
11 | 16a86157a57 |
12 | 82721a8200 |
13 | 3cc84439c5 |
14 | 20a27ac824 |
15 | 1181e66126 |
hex | 9def78d20 |
42395471136 has 144 divisors (see below), whose sum is σ = 121637880000. Its totient is φ = 14006214144.
The previous prime is 42395471123. The next prime is 42395471137. The reversal of 42395471136 is 63117459324.
42395471136 is a `hidden beast` number, since 42 + 3 + 9 + 5 + 471 + 136 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 42395471091 and 42395471100.
It is not an unprimeable number, because it can be changed into a prime (42395471137) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22561845 + ... + 22563723.
It is an arithmetic number, because the mean of its divisors is an integer number (844707500).
Almost surely, 242395471136 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 42395471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60818940000).
42395471136 is an abundant number, since it is smaller than the sum of its proper divisors (79242408864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42395471136 is a wasteful number, since it uses less digits than its factorization.
42395471136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2551 (or 2540 counting only the distinct ones).
The product of its digits is 544320, while the sum is 45.
The spelling of 42395471136 in words is "forty-two billion, three hundred ninety-five million, four hundred seventy-one thousand, one hundred thirty-six".
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