Base | Representation |
---|---|
bin | 1110001000001101100… |
… | …0010001111101001100 |
3 | 212012111201220212121001 |
4 | 3202003120101331030 |
5 | 12434043410131001 |
6 | 303301034150044 |
7 | 23351612632000 |
oct | 3420330217514 |
9 | 765451825531 |
10 | 242722348876 |
11 | 93a35490247 |
12 | 3b05b282324 |
13 | 19b723b1757 |
14 | ba6805c700 |
15 | 64a8e58001 |
hex | 3883611f4c |
242722348876 has 96 divisors (see below), whose sum is σ = 525058934400. Its totient is φ = 97798643712.
The previous prime is 242722348861. The next prime is 242722348889. The reversal of 242722348876 is 678843227242.
It is a happy number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23622076 + ... + 23632348.
It is an arithmetic number, because the mean of its divisors is an integer number (5469363900).
Almost surely, 2242722348876 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 242722348876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262529467200).
242722348876 is an abundant number, since it is smaller than the sum of its proper divisors (282336585524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242722348876 is a wasteful number, since it uses less digits than its factorization.
242722348876 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11328 (or 11312 counting only the distinct ones).
The product of its digits is 14450688, while the sum is 55.
It can be divided in two parts, 2427223 and 48876, that added together give a 5-th power (2476099 = 195).
The spelling of 242722348876 in words is "two hundred forty-two billion, seven hundred twenty-two million, three hundred forty-eight thousand, eight hundred seventy-six".
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