Search a number
-
+
14024441312 = 25731775161
BaseRepresentation
bin11010000111110101…
…11111110111100000
31100012101110102202022
431003322333313200
5212210224110222
610235344241012
71004352533000
oct150372776740
940171412668
1014024441312
115a47482372
122874910168
1314266b89ab
1497083a000
15571360042
hex343ebfde0

14024441312 has 96 divisors (see below), whose sum is σ = 34093483200. Its totient is φ = 5656842240.

The previous prime is 14024441311. The next prime is 14024441341. The reversal of 14024441312 is 21314442041.

It is a super-2 number, since 2×140244413122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024441311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149012 + ... + 224172.

It is an arithmetic number, because the mean of its divisors is an integer number (355140450).

Almost surely, 214024441312 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 14024441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046741600).

14024441312 is an abundant number, since it is smaller than the sum of its proper divisors (20069041888).

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

14024441312 is an equidigital number, since it uses as much as digits as its factorization.

14024441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75209 (or 75187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14024441312 its reverse (21314442041), we get a palindrome (35338883353).

The spelling of 14024441312 in words is "fourteen billion, twenty-four million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 343 392 476 544 686 784 833 952 1372 1568 1666 1904 2744 3332 3808 5488 5831 6664 10976 11662 13328 23324 26656 46648 75161 93296 150322 186592 300644 526127 601288 1052254 1202576 1277737 2104508 2405152 2555474 3682889 4209016 5110948 7365778 8418032 8944159 10221896 14731556 16836064 17888318 20443792 25780223 29463112 35776636 40887584 51560446 58926224 62609113 71553272 103120892 117852448 125218226 143106544 206241784 250436452 286213088 412483568 438263791 500872904 824967136 876527582 1001745808 1753055164 2003491616 3506110328 7012220656 14024441312