Search a number
-
+
14424112332311 = 117959995329077
BaseRepresentation
bin1101000111100110000000…
…0101110111111000010111
31220001221011012002201102012
43101321200011313320113
53342311040224113221
650402202402134435
73016051643606363
oct321714005677027
956057135081365
1014424112332311
114661260415150
12174b5a605141b
13808259c2c436
1437c1b8b4c2a3
151a030e5c665b
hexd1e60177e17

14424112332311 has 32 divisors (see below), whose sum is σ = 15978477312000. Its totient is φ = 12911223386880.

The previous prime is 14424112332281. The next prime is 14424112332313. The reversal of 14424112332311 is 11323321142441.

It is a cyclic number.

It is not a de Polignac number, because 14424112332311 - 210 = 14424112331287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424112332313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496051505 + ... + 496080581.

It is an arithmetic number, because the mean of its divisors is an integer number (499327416000).

Almost surely, 214424112332311 is an apocalyptic number.

14424112332311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14424112332311 is a deficient number, since it is larger than the sum of its proper divisors (1554364979689).

14424112332311 is a wasteful number, since it uses less digits than its factorization.

14424112332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30719.

The product of its digits is 13824, while the sum is 32.

Adding to 14424112332311 its reverse (11323321142441), we get a palindrome (25747433474752).

The spelling of 14424112332311 in words is "fourteen trillion, four hundred twenty-four billion, one hundred twelve million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 11 79 599 869 953 6589 10483 29077 47321 75287 319847 520531 570847 828157 2297083 6279317 17417123 25267913 27710381 45096913 191588353 304814191 496066043 1375952717 2189120099 15135479887 16598518219 24080321089 182583700409 1311282939301 14424112332311