Search a number
-
+
1316222141256 = 233211313734683
BaseRepresentation
bin10011001001110100111…
…101000000001101001000
311122211101210011121112200
4103021310331000031020
5133031110332010011
62444355240240200
7164044132414011
oct23116475001510
94584353147480
101316222141256
114682300a3000
12193114170060
1397171bba8a9
14479c3c24008
152438819a856
hex13274f40348

1316222141256 has 96 divisors (see below), whose sum is σ = 3920977588320. Its totient is φ = 398855165280.

The previous prime is 1316222141239. The next prime is 1316222141261. The reversal of 1316222141256 is 6521412226131.

1316222141256 is a `hidden beast` number, since 1 + 3 + 1 + 622 + 2 + 1 + 4 + 1 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1316222141256.

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, 6771510 + ... + 6963173.

It is an arithmetic number, because the mean of its divisors is an integer number (40843516545).

Almost surely, 21316222141256 is an apocalyptic number.

It is an amenable number.

1316222141256 is an abundant number, since it is smaller than the sum of its proper divisors (2604755447064).

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

1316222141256 is a wasteful number, since it uses less digits than its factorization.

1316222141256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13734728 (or 13734699 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 1316222141256 its reverse (6521412226131), we get a palindrome (7837634367387).

The spelling of 1316222141256 in words is "one trillion, three hundred sixteen billion, two hundred twenty-two million, one hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 13734683 27469366 41204049 54938732 82408098 109877464 123612147 151081513 164816196 247224294 302163026 329632392 453244539 494448588 604326052 906489078 988897176 1208652104 1359733617 1661896643 1812978156 2719467234 3323793286 3625956312 4985689929 5438934468 6647586572 9971379858 10877868936 13295173144 14957069787 18280863073 19942759716 29914139574 36561726146 39885519432 54842589219 59828279148 73123452292 109685178438 119656558296 146246904584 164527767657 219370356876 329055535314 438740713752 658111070628 1316222141256