Base | Representation |
---|---|
bin | 110110110110100010010110… |
… | …000110011001001011110000 |
3 | 1011122011112101120210121000202 |
4 | 312312202112012121023300 |
5 | 223110003102240341034 |
6 | 2213025053344534332 |
7 | 101546114426503502 |
oct | 6666422606311360 |
9 | 1148145346717022 |
10 | 241242241340144 |
11 | 6a95a295078580 |
12 | 230824426213a8 |
13 | a47c07966aa65 |
14 | 4380288753d72 |
15 | 1cd53e711447e |
hex | db68961992f0 |
241242241340144 has 160 divisors (see below), whose sum is σ = 544548483452160. Its totient is φ = 102316733542400.
The previous prime is 241242241340143. The next prime is 241242241340167. The reversal of 241242241340144 is 441043142242142.
It is a super-2 number, since 2×2412422413401442 (a number of 30 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 241242241340098 and 241242241340107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241242241340143) 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 31 ways as a sum of consecutive naturals, for example, 399097082 + ... + 399701094.
It is an arithmetic number, because the mean of its divisors is an integer number (3403428021576).
Almost surely, 2241242241340144 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 241242241340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272274241726080).
241242241340144 is an abundant number, since it is smaller than the sum of its proper divisors (303306242112016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241242241340144 is a wasteful number, since it uses less digits than its factorization.
241242241340144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 605199 (or 605193 counting only the distinct ones).
The product of its (nonzero) digits is 196608, while the sum is 38.
Adding to 241242241340144 its reverse (441043142242142), we get a palindrome (682285383582286).
The spelling of 241242241340144 in words is "two hundred forty-one trillion, two hundred forty-two billion, two hundred forty-one million, three hundred forty thousand, one hundred forty-four".
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