Search a number
-
+
13412422230525 = 3252412909499801
BaseRepresentation
bin1100001100101101001010…
…1010011010000111111101
31202111012210202200121000100
43003023102222122013331
53224222120042334100
644305325352151313
72553005216620053
oct303132252320775
952435722617010
1013412422230525
1143011a376280a
121607501098539
13763a2aa84306
14345243d161d3
15183d4b906400
hexc32d2a9a1fd

13412422230525 has 72 divisors (see below), whose sum is σ = 24617577577320. Its totient is φ = 6976408320000.

The previous prime is 13412422230517. The next prime is 13412422230541. The reversal of 13412422230525 is 52503222421431.

13412422230525 is a `hidden beast` number, since 1 + 3 + 4 + 124 + 2 + 2 + 2 + 3 + 0 + 525 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1648763857764 + 11763658372761 = 1284042^2 + 3429819^2 .

It is not a de Polignac number, because 13412422230525 - 23 = 13412422230517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13412422230525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26585625 + ... + 27085425.

It is an arithmetic number, because the mean of its divisors is an integer number (341910799685).

Almost surely, 213412422230525 is an apocalyptic number.

13412422230525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13412422230525 is a deficient number, since it is larger than the sum of its proper divisors (11205155346795).

13412422230525 is a wasteful number, since it uses less digits than its factorization.

13412422230525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502767 (or 502759 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13412422230525 its reverse (52503222421431), we get a palindrome (65915644651956).

The spelling of 13412422230525 in words is "thirteen trillion, four hundred twelve billion, four hundred twenty-two million, two hundred thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 2909 3075 8727 9225 14545 26181 43635 72725 119269 130905 218175 357807 499801 596345 654525 1073421 1499403 1789035 2499005 2981725 4498209 5367105 7497015 8945175 12495025 20491841 22491045 26835525 37485075 61475523 102459205 112455225 184426569 307377615 512296025 922132845 1453921109 1536888075 4361763327 4610664225 7269605545 13085289981 21808816635 36348027725 59610765469 65426449905 109044083175 178832296407 298053827345 327132249525 536496889221 894161482035 1490269136725 2682484446105 4470807410175 13412422230525