| Base | Representation |
|---|---|
| bin | 1111000011110001… |
| … | …0100101111100000 |
| 3 | 101102201101102110210 |
| 4 | 3300330110233200 |
| 5 | 31234320023230 |
| 6 | 1505041254120 |
| 7 | 202113240450 |
| oct | 36074245740 |
| 9 | 11381342423 |
| 10 | 4042345440 |
| 11 | 1794886a61 |
| 12 | 949934340 |
| 13 | 4c56299a3 |
| 14 | 2a4c17d60 |
| 15 | 189d3beb0 |
| hex | f0f14be0 |
4042345440 has 288 divisors, whose sum is σ = 15098517504. Its totient is φ = 889620480.
The previous prime is 4042345421. The next prime is 4042345441. The reversal of 4042345440 is 445432404.
4042345440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 4042345398 and 4042345407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4042345441) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20519422 + ... + 20519618.
It is an arithmetic number, because the mean of its divisors is an integer number (52425408).
Almost surely, 24042345440 is an apocalyptic number.
4042345440 is a gapful number since it is divisible by the number (40) 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 4042345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549258752).
4042345440 is an abundant number, since it is smaller than the sum of its proper divisors (11056172064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4042345440 is a wasteful number, since it uses less digits than its factorization.
4042345440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 450 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 30.
The square root of 4042345440 is about 63579.4419604325. The cubic root of 4042345440 is about 1592.9830002257.
Adding to 4042345440 its reverse (445432404), we get a palindrome (4487777844).
The spelling of 4042345440 in words is "four billion, forty-two million, three hundred forty-five thousand, four hundred forty".
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