Search a number
-
+
14433033441 = 3191072366459
BaseRepresentation
bin11010111000100011…
…01001110011100001
31101020212022001210010
431130101221303201
5214024324032231
610344101555133
71020443521461
oct153421516341
941225261703
1014433033441
116137086712
122969715aa9
131490248098
149acbd9ba1
1559716e546
hex35c469ce1

14433033441 has 16 divisors (see below), whose sum is σ = 20446214400. Its totient is φ = 9030403728.

The previous prime is 14433033401. The next prime is 14433033457.

14433033441 is nontrivially palindromic in base 10.

14433033441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14433033441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14433033399 and 14433033408.

It is not an unprimeable number, because it can be changed into a prime (14433033401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177131 + ... + 1189328.

It is an arithmetic number, because the mean of its divisors is an integer number (1277888400).

Almost surely, 214433033441 is an apocalyptic number.

It is an amenable number.

14433033441 is a deficient number, since it is larger than the sum of its proper divisors (6013180959).

14433033441 is a wasteful number, since it uses less digits than its factorization.

14433033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366588.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 144330 and 33441, that added together give a palindrome (177771).

The spelling of 14433033441 in words is "fourteen billion, four hundred thirty-three million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 19 57 107 321 2033 6099 2366459 7099377 44962721 134888163 253211113 759633339 4811011147 14433033441