Search a number
-
+
14400051050 = 25271111033391
BaseRepresentation
bin11010110100100111…
…10101011101101010
31101011120020101110002
431122103311131222
5213442403113200
610340523023002
71016563262060
oct153223653552
941146211402
1014400051050
11611a4a9540
12295a66aa62
13148646a788
149a8692030
15594306bd5
hex35a4f576a

14400051050 has 96 divisors (see below), whose sum is σ = 33433288704. Its totient is φ = 4482936000.

The previous prime is 14400051049. The next prime is 14400051067. The reversal of 14400051050 is 5015000441.

14400051050 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144000510502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4244855 + ... + 4248245.

It is an arithmetic number, because the mean of its divisors is an integer number (348263424).

Almost surely, 214400051050 is an apocalyptic number.

14400051050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14400051050 is an abundant number, since it is smaller than the sum of its proper divisors (19033237654).

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

14400051050 is a wasteful number, since it uses less digits than its factorization.

14400051050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 14400051050 its reverse (5015000441), we get a palindrome (19415051491).

The spelling of 14400051050 in words is "fourteen billion, four hundred million, fifty-one thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1103 1925 2206 3391 3850 5515 6782 7721 11030 12133 15442 16955 23737 24266 27575 33910 37301 38605 47474 55150 60665 74602 77210 84775 84931 118685 121330 169550 169862 186505 193025 237370 261107 303325 373010 386050 424655 522214 593425 606650 849310 932525 1186850 1305535 1865050 2123275 2611070 3740273 4246550 6527675 7480546 13055350 18701365 26181911 37402730 41143003 52363822 82286006 93506825 130909555 187013650 205715015 261819110 288001021 411430030 576002042 654547775 1028575075 1309095550 1440005105 2057150150 2880010210 7200025525 14400051050