Search a number
-
+
13342640302035 = 32511376710873267
BaseRepresentation
bin1100001000101001001101…
…0101011110011111010011
31202020112200112200100000100
43002022103111132133103
53222101211404131120
644213305131223443
72544655031202312
oct302122325363723
952215615610010
1013342640302035
114284644677030
1215b5a872a7b83
1375a289880675
14341b04268279
1518211551e490
hexc229355e7d3

13342640302035 has 96 divisors (see below), whose sum is σ = 26298346943232. Its totient is φ = 6200371203840.

The previous prime is 13342640302003. The next prime is 13342640302051. The reversal of 13342640302035 is 53020304624331.

13342640302035 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 640 + 3 + 0 + 2 + 0 + 3 + 5 = 666.

It is not a de Polignac number, because 13342640302035 - 25 = 13342640302003 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 4209529 + ... + 6663738.

It is an arithmetic number, because the mean of its divisors is an integer number (273941113992).

Almost surely, 213342640302035 is an apocalyptic number.

13342640302035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13342640302035 is a deficient number, since it is larger than the sum of its proper divisors (12955706641197).

13342640302035 is a wasteful number, since it uses less digits than its factorization.

13342640302035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873393 (or 10873390 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13342640302035 its reverse (53020304624331), we get a palindrome (66362944926366).

The spelling of 13342640302035 in words is "thirteen trillion, three hundred forty-two billion, six hundred forty million, three hundred two thousand, thirty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 67 99 111 165 185 201 333 335 407 495 555 603 737 1005 1221 1665 2035 2211 2479 3015 3663 3685 6105 6633 7437 11055 12395 18315 22311 27269 33165 37185 81807 111555 136345 245421 409035 1227105 10873267 32619801 54366335 97859403 119605937 163099005 358817811 402310879 489297015 598029685 728508889 1076453433 1206932637 1794089055 2011554395 2185526667 3620797911 3642544445 4425419669 5382267165 6034663185 6556580001 8013597779 10927633335 13276259007 18103989555 22127098345 24040793337 26954828893 32782900005 39828777021 40067988895 66381295035 72122380011 80864486679 120203966685 134774144465 199143885105 242593460037 296503117823 360611900055 404322433395 889509353469 1212967300185 1482515589115 2668528060407 4447546767345 13342640302035