Base | Representation |
---|---|
bin | 1110000011011101110… |
… | …0000110111000000000 |
3 | 212002012221112122200000 |
4 | 3200313130012320000 |
5 | 12423441230034043 |
6 | 302530402400000 |
7 | 23305212356055 |
oct | 3406734067000 |
9 | 762187478600 |
10 | 241448283648 |
11 | 93441297180 |
12 | 3a964660000 |
13 | 199cb4572c0 |
14 | b986b6d02c |
15 | 643218c2d3 |
hex | 3837706e00 |
241448283648 has 960 divisors, whose sum is σ = 872315668224. Its totient is φ = 65691648000.
The previous prime is 241448283623. The next prime is 241448283667. The reversal of 241448283648 is 846382844142.
It is a happy number.
241448283648 is a `hidden beast` number, since 2 + 41 + 4 + 482 + 83 + 6 + 48 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 241448283594 and 241448283603.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729450843 + ... + 729451173.
Almost surely, 2241448283648 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 241448283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436157834112).
241448283648 is an abundant number, since it is smaller than the sum of its proper divisors (630867384576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241448283648 is a wasteful number, since it uses less digits than its factorization.
241448283648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 429 (or 401 counting only the distinct ones).
The product of its digits is 9437184, while the sum is 54.
The spelling of 241448283648 in words is "two hundred forty-one billion, four hundred forty-eight million, two hundred eighty-three thousand, six hundred forty-eight".
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