Search a number
-
+
14341344432 = 2431731095653
BaseRepresentation
bin11010101101100111…
…11000110010110000
31101000110202210002220
431112303320302300
5213332341010212
610331024441040
71015251262542
oct152663706260
941013683086
1014341344432
11609a351378
122942a79180
13147725442c
149a096d692
1558e0ac38c
hex356cf8cb0

14341344432 has 80 divisors (see below), whose sum is σ = 39247354080. Its totient is φ = 4497002496.

The previous prime is 14341344431. The next prime is 14341344463. The reversal of 14341344432 is 23444314341.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14341344393 and 14341344402.

It is not an unprimeable number, because it can be changed into a prime (14341344431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534118 + ... + 2539770.

It is an arithmetic number, because the mean of its divisors is an integer number (490591926).

Almost surely, 214341344432 is an apocalyptic number.

14341344432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14341344432 is an abundant number, since it is smaller than the sum of its proper divisors (24906009648).

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

14341344432 is a wasteful number, since it uses less digits than its factorization.

14341344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 8784 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 14341344432 its reverse (23444314341), we get a palindrome (37785658773).

The spelling of 14341344432 in words is "fourteen billion, three hundred forty-one million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 3109 5653 6218 9327 11306 12436 16959 18654 22612 24872 33918 37308 45224 49744 52853 67836 74616 90448 96101 105706 135672 149232 158559 192202 211412 271344 288303 317118 384404 422824 576606 634236 768808 845648 1153212 1268472 1537616 2306424 2536944 4612848 17575177 35150354 52725531 70300708 105451062 140601416 210902124 281202832 298778009 421804248 597556018 843608496 896334027 1195112036 1792668054 2390224072 3585336108 4780448144 7170672216 14341344432