Search a number
-
+
14344243232 = 2511257158563
BaseRepresentation
bin11010101101111101…
…11100100000100000
31101000200020001111212
431112332330200200
5213334111240412
610331210525252
71015315025054
oct152676744040
941020201455
1014344243232
1160a0a51280
122943a36828
131477a2a9b7
149a10c5c64
1558e481222
hex356fbc820

14344243232 has 48 divisors (see below), whose sum is σ = 30927591072. Its totient is φ = 6494699520.

The previous prime is 14344243217. The next prime is 14344243241. The reversal of 14344243232 is 23234244341.

14344243232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11183 + ... + 169745.

It is an arithmetic number, because the mean of its divisors is an integer number (644324814).

Almost surely, 214344243232 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 14344243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463795536).

14344243232 is an abundant number, since it is smaller than the sum of its proper divisors (16583347840).

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

14344243232 is a wasteful number, since it uses less digits than its factorization.

14344243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158841 (or 158833 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 14344243232 its reverse (23234244341), we get a palindrome (37578487573).

The spelling of 14344243232 in words is "fourteen billion, three hundred forty-four million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 257 352 514 1028 2056 2827 4112 5654 8224 11308 22616 45232 90464 158563 317126 634252 1268504 1744193 2537008 3488386 5074016 6976772 13953544 27907088 40750691 55814176 81501382 163002764 326005528 448257601 652011056 896515202 1304022112 1793030404 3586060808 7172121616 14344243232