Search a number
-
+
14441314104 = 2332724093343
BaseRepresentation
bin11010111001100010…
…01111011100111000
31101021102212202201100
431130301033130320
5214033434022404
610344555251400
71020604100400
oct153461173470
941242782640
1014441314104
116140822038
122970449b60
131491b87199
149add53800
15597c57d39
hex35cc4f738

14441314104 has 72 divisors (see below), whose sum is σ = 45497518560. Its totient is φ = 4126088736.

The previous prime is 14441314091. The next prime is 14441314157. The reversal of 14441314104 is 40141314441.

14441314104 is a `hidden beast` number, since 144 + 413 + 1 + 4 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2043144 + ... + 2050199.

It is an arithmetic number, because the mean of its divisors is an integer number (631909980).

Almost surely, 214441314104 is an apocalyptic number.

14441314104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14441314104 is an abundant number, since it is smaller than the sum of its proper divisors (31056204456).

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

14441314104 is a wasteful number, since it uses less digits than its factorization.

14441314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093369 (or 4093355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14441314104 its reverse (40141314441), we get a palindrome (54582628545).

The spelling of 14441314104 in words is "fourteen billion, four hundred forty-one million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 4093343 8186686 12280029 16373372 24560058 28653401 32746744 36840087 49120116 57306802 73680174 85960203 98240232 114613604 147360348 171920406 200573807 229227208 257880609 294720696 343840812 401147614 515761218 601721421 687681624 802295228 1031522436 1203442842 1604590456 1805164263 2063044872 2406885684 3610328526 4813771368 7220657052 14441314104