Search a number
-
+
14444111104 = 2885765837
BaseRepresentation
bin11010111001110111…
…11010010100000000
31101021122010212110221
431130323322110000
5214040143023404
610345135232424
71020636630043
oct153473722400
941248125427
1014444111104
116142362505
122971378714
131492626307
149b0480c5a
1559810b954
hex35cefa500

14444111104 has 36 divisors (see below), whose sum is σ = 28865881044. Its totient is φ = 7213518848.

The previous prime is 14444111093. The next prime is 14444111179. The reversal of 14444111104 is 40111144441.

14444111104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7842873600 + 6601237504 = 88560^2 + 81248^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 186474 + ... + 252310.

It is an arithmetic number, because the mean of its divisors is an integer number (801830029).

Almost surely, 214444111104 is an apocalyptic number.

It is an amenable number.

14444111104 is a deficient number, since it is larger than the sum of its proper divisors (14421769940).

14444111104 is an frugal number, since it uses more digits than its factorization.

14444111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66710 (or 66696 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 14444111104 its reverse (40111144441), we get a palindrome (54555255545).

The spelling of 14444111104 in words is "fourteen billion, four hundred forty-four million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 857 1714 3428 6856 13712 27424 54848 65837 109696 131674 219392 263348 526696 1053392 2106784 4213568 8427136 16854272 56422309 112844618 225689236 451378472 902756944 1805513888 3611027776 7222055552 14444111104