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13540022244 = 2232765981533
BaseRepresentation
bin11001001110000110…
…00101011111100100
31021221121221101201100
430213003011133210
5210212221202434
610115321400100
7656351201340
oct144703053744
937847841640
1013540022244
115818a98131
12275a639030
13137a22a7a8
1492637c620
15543a73699
hex3270c57e4

13540022244 has 72 divisors (see below), whose sum is σ = 39175456320. Its totient is φ = 3862660032.

The previous prime is 13540022219. The next prime is 13540022257. The reversal of 13540022244 is 44222004531.

13540022244 is a `hidden beast` number, since 1 + 35 + 400 + 2 + 224 + 4 = 666.

13540022244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 125302 + ... + 206834.

It is an arithmetic number, because the mean of its divisors is an integer number (544103560).

Almost surely, 213540022244 is an apocalyptic number.

13540022244 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 13540022244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587728160).

13540022244 is an abundant number, since it is smaller than the sum of its proper divisors (25635434076).

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

13540022244 is a wasteful number, since it uses less digits than its factorization.

13540022244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82209 (or 82204 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13540022244 its reverse (44222004531), we get a palindrome (57762026775).

The spelling of 13540022244 in words is "thirteen billion, five hundred forty million, twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 659 1318 1977 2636 3954 4613 5931 7908 9226 11862 13839 18452 23724 27678 41517 55356 81533 83034 163066 166068 244599 326132 489198 570731 733797 978396 1141462 1467594 1712193 2282924 2935188 3424386 5136579 6848772 10273158 20546316 53730247 107460494 161190741 214920988 322381482 376111729 483572223 644762964 752223458 967144446 1128335187 1504446916 1934288892 2256670374 3385005561 4513340748 6770011122 13540022244