Base | Representation |
---|---|
bin | 1110000011010100101… |
… | …1101111101101000000 |
3 | 212002010022022222221102 |
4 | 3200311023233231000 |
5 | 12423402033040000 |
6 | 302522531313532 |
7 | 23304242611532 |
oct | 3406513575500 |
9 | 762108288842 |
10 | 241410440000 |
11 | 93421999734 |
12 | 3a953a4b8a8 |
13 | 199c3667102 |
14 | b981b1b852 |
15 | 642dbb43d5 |
hex | 38352efb40 |
241410440000 has 140 divisors (see below), whose sum is σ = 603002605524. Its totient is φ = 95857152000.
The previous prime is 241410439981. The next prime is 241410440003. The reversal of 241410440000 is 44014142.
It is a happy number.
241410440000 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 10 ways, for example, as 149911449856 + 91498990144 = 387184^2 + 302488^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241410440003) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 5457974 + ... + 5502026.
Almost surely, 2241410440000 is an apocalyptic number.
241410440000 is a gapful number since it is divisible by the number (20) 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 241410440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301501302762).
241410440000 is an abundant number, since it is smaller than the sum of its proper divisors (361592165524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241410440000 is an equidigital number, since it uses as much as digits as its factorization.
241410440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44222 (or 44197 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
Adding to 241410440000 its reverse (44014142), we get a palindrome (241454454142).
The spelling of 241410440000 in words is "two hundred forty-one billion, four hundred ten million, four hundred forty thousand".
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