Base | Representation |
---|---|
bin | 1110000011010001110… |
… | …1011001011110011000 |
3 | 212002002110110201201120 |
4 | 3200310131121132120 |
5 | 12423340430242303 |
6 | 302521415045240 |
7 | 23304034416666 |
oct | 3406435313630 |
9 | 762073421646 |
10 | 241398290328 |
11 | 93416050488 |
12 | 3a94b970820 |
13 | 199c0ca1c60 |
14 | b980277c36 |
15 | 642cab4553 |
hex | 3834759798 |
241398290328 has 128 divisors (see below), whose sum is σ = 656377344000. Its totient is φ = 73539680256.
The previous prime is 241398290317. The next prime is 241398290351. The reversal of 241398290328 is 823092893142.
241398290328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 4913232-1.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38320123 + ... + 38326421.
It is an arithmetic number, because the mean of its divisors is an integer number (5127948000).
Almost surely, 2241398290328 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 241398290328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328188672000).
241398290328 is an abundant number, since it is smaller than the sum of its proper divisors (414979053672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241398290328 is a wasteful number, since it uses less digits than its factorization.
241398290328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7521 (or 7517 counting only the distinct ones).
The product of its (nonzero) digits is 1492992, while the sum is 51.
The spelling of 241398290328 in words is "two hundred forty-one billion, three hundred ninety-eight million, two hundred ninety thousand, three hundred twenty-eight".
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