Base | Representation |
---|---|
bin | 110111000110011000101000… |
… | …010111110011011010010010 |
3 | 1011210000122111111101122221100 |
4 | 313012120220113303122102 |
5 | 223230324021424302232 |
6 | 2215221250021205230 |
7 | 102020601032320635 |
oct | 6706305027633222 |
9 | 1153018444348840 |
10 | 242331322103442 |
11 | 7023a155843400 |
12 | 23219525560816 |
13 | a52a990188310 |
14 | 43bac81971c1c |
15 | 1d038d917ac7c |
hex | dc66285f3692 |
242331322103442 has 288 divisors, whose sum is σ = 629132626257408. Its totient is φ = 66954666240000.
The previous prime is 242331322103411. The next prime is 242331322103459. The reversal of 242331322103442 is 244301223133242.
242331322103442 is a `hidden beast` number, since 2 + 42 + 3 + 31 + 32 + 210 + 344 + 2 = 666.
242331322103442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 242331322103397 and 242331322103406.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18426829567 + ... + 18426842717.
It is an arithmetic number, because the mean of its divisors is an integer number (2184488285616).
Almost surely, 2242331322103442 is an apocalyptic number.
242331322103442 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 242331322103442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314566313128704).
242331322103442 is an abundant number, since it is smaller than the sum of its proper divisors (386801304153966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242331322103442 is a wasteful number, since it uses less digits than its factorization.
242331322103442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21118 (or 21104 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 36.
Adding to 242331322103442 its reverse (244301223133242), we get a palindrome (486632545236684).
The spelling of 242331322103442 in words is "two hundred forty-two trillion, three hundred thirty-one billion, three hundred twenty-two million, one hundred three thousand, four hundred forty-two".
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