Base | Representation |
---|---|
bin | 100111010101110001… |
… | …110100101010101000 |
3 | 11001000212111001112200 |
4 | 213111301310222220 |
5 | 1143002234012243 |
6 | 31223321540200 |
7 | 3023531145225 |
oct | 472561645250 |
9 | 131025431480 |
10 | 42241313448 |
11 | 16a07136004 |
12 | 822a644660 |
13 | 3ca251a539 |
14 | 208a12094c |
15 | 1173664ad3 |
hex | 9d5c74aa8 |
42241313448 has 96 divisors (see below), whose sum is σ = 121226961960. Its totient is φ = 13241917440.
The previous prime is 42241313447. The next prime is 42241313453. The reversal of 42241313448 is 84431314224.
42241313448 is a `hidden beast` number, since 42 + 241 + 31 + 344 + 8 = 666.
42241313448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 31963003524 + 10278309924 = 178782^2 + 101382^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (42241313441) 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, 1653186 + ... + 1678542.
Almost surely, 242241313448 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 42241313448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60613480980).
42241313448 is an abundant number, since it is smaller than the sum of its proper divisors (78985648512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42241313448 is a wasteful number, since it uses less digits than its factorization.
42241313448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26747 (or 26740 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The spelling of 42241313448 in words is "forty-two billion, two hundred forty-one million, three hundred thirteen thousand, four hundred forty-eight".
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