Search a number
-
+
14431001553 = 34377167819
BaseRepresentation
bin11010111000010011…
…11001101111010001
31101020201110211120000
431130021321233101
5214023314022203
610343550240213
71020420326553
oct153411715721
941221424500
1014431001553
116135a19071
122968ab6069
13148c9b6297
149ac82b4d3
15596dbc4a3
hex35c279bd1

14431001553 has 40 divisors (see below), whose sum is σ = 22452217920. Its totient is φ = 9228673440.

The previous prime is 14431001537. The next prime is 14431001591. The reversal of 14431001553 is 35510013441.

It is a happy number.

14431001553 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 100 + 1 + 553 = 666.

It is not a de Polignac number, because 14431001553 - 24 = 14431001537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14431001513) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 178878 + ... + 246696.

It is an arithmetic number, because the mean of its divisors is an integer number (561305448).

Almost surely, 214431001553 is an apocalyptic number.

It is an amenable number.

14431001553 is a deficient number, since it is larger than the sum of its proper divisors (8021216367).

14431001553 is an equidigital number, since it uses as much as digits as its factorization.

14431001553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67939 (or 67930 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14431001553 its reverse (35510013441), we get a palindrome (49941014994).

The spelling of 14431001553 in words is "fourteen billion, four hundred thirty-one million, one thousand, five hundred fifty-three".

Divisors: 1 3 9 27 37 71 81 111 213 333 639 999 1917 2627 2997 5751 7881 23643 67819 70929 203457 212787 610371 1831113 2509303 4815149 5493339 7527909 14445447 22583727 43336341 67751181 130009023 178160513 203253543 390027069 534481539 1603444617 4810333851 14431001553