Search a number
-
+
4142440230 = 2351913753047
BaseRepresentation
bin1111011011101000…
…1001111100100110
3101200200201202201020
43312322021330212
531440431041410
61523014512010
7204440106135
oct36672117446
911620652636
104142440230
111836332725
12977365606
135102a4686
142b423191c
15193a0ea70
hexf6e89f26

4142440230 has 64 divisors (see below), whose sum is σ = 10541698560. Its totient is φ = 1038852864.

The previous prime is 4142440223. The next prime is 4142440241. The reversal of 4142440230 is 320442414.

It is a happy number.

It is a super-2 number, since 2×41424402302 = 34319622118244905800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4142440230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51567 + ... + 104613.

It is an arithmetic number, because the mean of its divisors is an integer number (164714040).

Almost surely, 24142440230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142440230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270849280).

4142440230 is an abundant number, since it is smaller than the sum of its proper divisors (6399258330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4142440230 is a wasteful number, since it uses less digits than its factorization.

4142440230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53213.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4142440230 is about 64361.7916935195. The cubic root of 4142440230 is about 1606.0241946555.

Adding to 4142440230 its reverse (320442414), we get a palindrome (4462882644).

The spelling of 4142440230 in words is "four billion, one hundred forty-two million, four hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 137 190 274 285 411 570 685 822 1370 2055 2603 4110 5206 7809 13015 15618 26030 39045 53047 78090 106094 159141 265235 318282 530470 795705 1007893 1591410 2015786 3023679 5039465 6047358 7267439 10078930 14534878 15118395 21802317 30236790 36337195 43604634 72674390 109011585 138081341 218023170 276162682 414244023 690406705 828488046 1380813410 2071220115 4142440230