Base | Representation |
---|---|
bin | 1110000100000111011… |
… | …1110101110110111110 |
3 | 212002200010220201211100 |
4 | 3201001313311312332 |
5 | 12424321032414032 |
6 | 303000014233530 |
7 | 23312436246042 |
oct | 3410167656676 |
9 | 762603821740 |
10 | 241623326142 |
11 | 935210831a0 |
12 | 3a9b31b58a6 |
13 | 19a287b3843 |
14 | b9a20d6022 |
15 | 644271697c |
hex | 3841df5dbe |
241623326142 has 96 divisors (see below), whose sum is σ = 586762735104. Its totient is φ = 71213860800.
The previous prime is 241623326129. The next prime is 241623326149.
241623326142 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 2 + 3 + 32 + 614 + 2 = 666.
241623326142 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 241623326097 and 241623326106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241623326149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29351167 + ... + 29359397.
It is an arithmetic number, because the mean of its divisors is an integer number (6112111824).
Almost surely, 2241623326142 is an apocalyptic number.
241623326142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 241623326142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293381367552).
241623326142 is an abundant number, since it is smaller than the sum of its proper divisors (345139408962).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241623326142 is a wasteful number, since it uses less digits than its factorization.
241623326142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12294 (or 12291 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
It can be divided in two parts, 241623 and 326142, that added together give a palindrome (567765).
The spelling of 241623326142 in words is "two hundred forty-one billion, six hundred twenty-three million, three hundred twenty-six thousand, one hundred forty-two".
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