Search a number
-
+
14244002024 = 2371757725931
BaseRepresentation
bin11010100010000001…
…00011100011101000
31100202200121021102112
431101000203203220
5213132431031044
610313230221452
71012660006460
oct152100434350
940680537375
1014244002024
11604a4055aa
122916354888
131460031485
14991a70ba0
1558578009e
hex3510238e8

14244002024 has 64 divisors (see below), whose sum is σ = 32375583360. Its totient is φ = 5735301120.

The previous prime is 14244002011. The next prime is 14244002033. The reversal of 14244002024 is 42020044241.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 536339 + ... + 562269.

It is an arithmetic number, because the mean of its divisors is an integer number (505868490).

Almost surely, 214244002024 is an apocalyptic number.

14244002024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187791680).

14244002024 is an abundant number, since it is smaller than the sum of its proper divisors (18131581336).

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

14244002024 is a wasteful number, since it uses less digits than its factorization.

14244002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26538 (or 26534 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14244002024 its reverse (42020044241), we get a palindrome (56264046265).

The spelling of 14244002024 in words is "fourteen billion, two hundred forty-four million, two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 577 952 1154 2308 4039 4616 8078 9809 16156 19618 25931 32312 39236 51862 68663 78472 103724 137326 181517 207448 274652 363034 440827 549304 726068 881654 1452136 1763308 3085789 3526616 6171578 12343156 14962187 24686312 29924374 59848748 104735309 119697496 209470618 254357179 418941236 508714358 837882472 1017428716 1780500253 2034857432 3561000506 7122001012 14244002024