Base | Representation |
---|---|
bin | 110110110110100010001101… |
… | …101111111101100100011110 |
3 | 1011122011112000211011212200212 |
4 | 312312202031233331210132 |
5 | 223110002310404222032 |
6 | 2213025031422052422 |
7 | 101546111105624510 |
oct | 6666421557754436 |
9 | 1148145024155625 |
10 | 241242101242142 |
11 | 6a95a222a89900 |
12 | 2308240371a112 |
13 | a47c056627c30 |
14 | 4380273cc5bb0 |
15 | 1cd53d9b8dbb2 |
hex | db688dbfd91e |
241242101242142 has 48 divisors (see below), whose sum is σ = 489538962005856. Its totient is φ = 86760396043200.
The previous prime is 241242101242123. The next prime is 241242101242157.
241242101242142 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 241242101242099 and 241242101242108.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5477275709 + ... + 5477319752.
It is an arithmetic number, because the mean of its divisors is an integer number (10198728375122).
Almost surely, 2241242101242142 is an apocalyptic number.
241242101242142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
241242101242142 is an abundant number, since it is smaller than the sum of its proper divisors (248296860763714).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241242101242142 is a wasteful number, since it uses less digits than its factorization.
241242101242142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10954595505 (or 10954595494 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 32.
It can be divided in two parts, 24124210 and 1242142, that added together give a palindrome (25366352).
The spelling of 241242101242142 in words is "two hundred forty-one trillion, two hundred forty-two billion, one hundred one million, two hundred forty-two thousand, one hundred forty-two".
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