Base | Representation |
---|---|
bin | 1001000110010001… |
… | …1010000010010000 |
3 | 20022012111122122200 |
4 | 2101210122002100 |
5 | 20000203141034 |
6 | 1042201403200 |
7 | 114343461441 |
oct | 22144320220 |
9 | 6265448580 |
10 | 2442240144 |
11 | 1043643193 |
12 | 581a99500 |
13 | 2cbc88016 |
14 | 1924d72c8 |
15 | e461ba99 |
hex | 9191a090 |
2442240144 has 60 divisors (see below), whose sum is σ = 6839917500. Its totient is φ = 813480192.
The previous prime is 2442240131. The next prime is 2442240149. The reversal of 2442240144 is 4410422442.
It can be written as a sum of positive squares in 2 ways, for example, as 416160000 + 2026080144 = 20400^2 + 45012^2 .
It is not an unprimeable number, because it can be changed into a prime (2442240149) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217582 + ... + 228530.
It is an arithmetic number, because the mean of its divisors is an integer number (113998625).
Almost surely, 22442240144 is an apocalyptic number.
2442240144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
2442240144 is an abundant number, since it is smaller than the sum of its proper divisors (4397677356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442240144 is a wasteful number, since it uses less digits than its factorization.
2442240144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12512 (or 12503 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 27.
The square root of 2442240144 is about 49419.0261336664. The cubic root of 2442240144 is about 1346.6749711390.
Adding to 2442240144 its reverse (4410422442), we get a palindrome (6852662586).
The spelling of 2442240144 in words is "two billion, four hundred forty-two million, two hundred forty thousand, one hundred forty-four".
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