Base | Representation |
---|---|
bin | 1110000010101010011… |
… | …1110010100000000000 |
3 | 212001122221220102010200 |
4 | 3200222213302200000 |
5 | 12423021202221422 |
6 | 302453201325200 |
7 | 23266661503602 |
oct | 3405247624000 |
9 | 761587812120 |
10 | 241233242112 |
11 | 933409702a5 |
12 | 3a904636800 |
13 | 19995a347a5 |
14 | b966393172 |
15 | 641d3612ac |
hex | 382a9f2800 |
241233242112 has 144 divisors (see below), whose sum is σ = 697192816320. Its totient is φ = 80357203968.
The previous prime is 241233242101. The next prime is 241233242119. The reversal of 241233242112 is 211242332142.
241233242112 is a `hidden beast` number, since 2 + 4 + 1 + 233 + 2 + 421 + 1 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (241233242119) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35146393 + ... + 35153255.
It is an arithmetic number, because the mean of its divisors is an integer number (4841616780).
Almost surely, 2241233242112 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 241233242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348596408160).
241233242112 is an abundant number, since it is smaller than the sum of its proper divisors (455959574208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241233242112 is a wasteful number, since it uses less digits than its factorization.
241233242112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8798 (or 8775 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
Adding to 241233242112 its reverse (211242332142), we get a palindrome (452475574254).
The spelling of 241233242112 in words is "two hundred forty-one billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred twelve".
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