Base | Representation |
---|---|
bin | 1110001000101101000… |
… | …1110111110111100000 |
3 | 212012211222022111120000 |
4 | 3202023101313313200 |
5 | 12434331322340010 |
6 | 303322131020000 |
7 | 23355112323114 |
oct | 3421321676740 |
9 | 765758274500 |
10 | 242854886880 |
11 | 93aa3285a91 |
12 | 3b09773a600 |
13 | 19b939a84c8 |
14 | ba7b8bd744 |
15 | 64b58d87c0 |
hex | 388b477de0 |
242854886880 has 240 divisors, whose sum is σ = 865090361520. Its totient is φ = 64155691008.
The previous prime is 242854886873. The next prime is 242854886887. The reversal of 242854886880 is 88688458242.
242854886880 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 548 + 8 + 6 + 8 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (242854886873) and next prime (242854886887).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2428548868802 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242854886887) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1299156 + ... + 1474284.
It is an arithmetic number, because the mean of its divisors is an integer number (3604543173).
Almost surely, 2242854886880 is an apocalyptic number.
242854886880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 242854886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432545180760).
242854886880 is an abundant number, since it is smaller than the sum of its proper divisors (622235474640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242854886880 is a wasteful number, since it uses less digits than its factorization.
242854886880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 175263 (or 175246 counting only the distinct ones).
The product of its (nonzero) digits is 62914560, while the sum is 63.
The spelling of 242854886880 in words is "two hundred forty-two billion, eight hundred fifty-four million, eight hundred eighty-six thousand, eight hundred eighty".
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