Search a number
-
+
14331430432 = 2511277146983
BaseRepresentation
bin11010101100011100…
…00100011000100000
31100222210010002122201
431112032010120200
5213322321233212
610330032142544
71015101102004
oct152616043040
940883102581
1014331430432
11609479a890
12293b697a54
131475192a67
1499d50c704
1558d29eb57
hex356384620

14331430432 has 48 divisors (see below), whose sum is σ = 30891333312. Its totient is φ = 6490725120.

The previous prime is 14331430429. The next prime is 14331430439. The reversal of 14331430432 is 23403413341.

It is a self number, because there is not a number n which added to its sum of digits gives 14331430432.

It is not an unprimeable number, because it can be changed into a prime (14331430439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24013 + ... + 170995.

It is an arithmetic number, because the mean of its divisors is an integer number (643569444).

Almost surely, 214331430432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14331430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445666656).

14331430432 is an abundant number, since it is smaller than the sum of its proper divisors (16559902880).

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

14331430432 is a wasteful number, since it uses less digits than its factorization.

14331430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147281 (or 147273 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 14331430432 its reverse (23403413341), we get a palindrome (37734843773).

The spelling of 14331430432 in words is "fourteen billion, three hundred thirty-one million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 277 352 554 1108 2216 3047 4432 6094 8864 12188 24376 48752 97504 146983 293966 587932 1175864 1616813 2351728 3233626 4703456 6467252 12934504 25869008 40714291 51738016 81428582 162857164 325714328 447857201 651428656 895714402 1302857312 1791428804 3582857608 7165715216 14331430432