Base | Representation |
---|---|
bin | 1001000110001110… |
… | …0101000010000000 |
3 | 20022012002121211210 |
4 | 2101203211002000 |
5 | 20000124214130 |
6 | 1042153010120 |
7 | 114341565462 |
oct | 22143450200 |
9 | 6265077753 |
10 | 2442023040 |
11 | 1043505066 |
12 | 5819b3940 |
13 | 2cbc10262 |
14 | 19247c132 |
15 | e45c75b0 |
hex | 918e5080 |
2442023040 has 128 divisors (see below), whose sum is σ = 7828067520. Its totient is φ = 647516160.
The previous prime is 2442023011. The next prime is 2442023053. The reversal of 2442023040 is 403202442.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 2442022998 and 2442023016.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344007 + ... + 351033.
Almost surely, 22442023040 is an apocalyptic number.
2442023040 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 2442023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914033760).
2442023040 is an abundant number, since it is smaller than the sum of its proper divisors (5386044480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442023040 is a wasteful number, since it uses less digits than its factorization.
2442023040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7230 (or 7218 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 2442023040 is about 49416.8295219351. The cubic root of 2442023040 is about 1346.6350655374.
Adding to 2442023040 its reverse (403202442), we get a palindrome (2845225482).
The spelling of 2442023040 in words is "two billion, four hundred forty-two million, twenty-three thousand, forty".
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