Search a number
-
+
41319781779105 = 36519231401709
BaseRepresentation
bin10010110010100100000101…
…11010100100011010100001
312102022010120122011222000000
421121102002322210122201
520403440403113412410
6223514013512050213
711463153466055454
oct1131220272443241
9172263518158000
1041319781779105
1112190691678735
124774073393969
131a09591aa2b2b
14a2bc60d8349b
154b9c50654dc0
hex259482ea46a1

41319781779105 has 84 divisors (see below), whose sum is σ = 78460249802580. Its totient is φ = 20877362760384.

The previous prime is 41319781779019. The next prime is 41319781779127. The reversal of 41319781779105 is 50197718791314.

41319781779105 is a `hidden beast` number, since 41 + 319 + 7 + 8 + 177 + 9 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32518597490064 + 8801184289041 = 5702508^2 + 2966679^2 .

It is not a de Polignac number, because 41319781779105 - 227 = 41319647561377 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14385010 + ... + 17016699.

Almost surely, 241319781779105 is an apocalyptic number.

41319781779105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41319781779105 is a deficient number, since it is larger than the sum of its proper divisors (37140468023475).

41319781779105 is an equidigital number, since it uses as much as digits as its factorization.

41319781779105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31401770 (or 31401736 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 63.

The spelling of 41319781779105 in words is "forty-one trillion, three hundred nineteen billion, seven hundred eighty-one million, seven hundred seventy-nine thousand, one hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 361 405 513 729 855 1083 1215 1539 1805 2565 3249 3645 4617 5415 7695 9747 13851 16245 23085 29241 48735 69255 87723 146205 263169 438615 1315845 31401709 94205127 157008545 282615381 471025635 596632471 847846143 1413076905 1789897413 2543538429 2983162355 4239230715 5369692239 7630615287 8949487065 11336016949 12717692145 16109076717 22891845861 26848461195 34008050847 38153076435 48327230151 56680084745 80545383585 102024152541 114459229305 144981690453 170040254235 241636150755 306072457623 434945071359 510120762705 724908452265 918217372869 1530362288115 2174725356795 2754652118607 4591086864345 8263956355821 13773260593035 41319781779105