Base | Representation |
---|---|
bin | 100011100010101101011… |
… | …111101110101001000000 |
3 | 22122111101200201102110121 |
4 | 203202231133232221000 |
5 | 310004120230400000 |
6 | 5110014055110024 |
7 | 341314146103021 |
oct | 43425537565100 |
9 | 8574350642417 |
10 | 2442452200000 |
11 | 86192465739a |
12 | 335444372314 |
13 | 149425cb9487 |
14 | 86302b8ac48 |
15 | 438017e5b1a |
hex | 238ad7eea40 |
2442452200000 has 168 divisors, whose sum is σ = 6157381480488. Its totient is φ = 960960000000.
The previous prime is 2442452199973. The next prime is 2442452200003. The reversal of 2442452200000 is 22542442.
2442452200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 1780559309376 + 661892890624 = 1334376^2 + 813568^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (2442452200003) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12099900 + ... + 12300100.
It is an arithmetic number, because the mean of its divisors is an integer number (36651080241).
Almost surely, 22442452200000 is an apocalyptic number.
2442452200000 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 2442452200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078690740244).
2442452200000 is an abundant number, since it is smaller than the sum of its proper divisors (3714929280488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442452200000 is an frugal number, since it uses more digits than its factorization.
2442452200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200299 (or 200269 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 25.
Adding to 2442452200000 its reverse (22542442), we get a palindrome (2442474742442).
The spelling of 2442452200000 in words is "two trillion, four hundred forty-two billion, four hundred fifty-two million, two hundred thousand".
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