Search a number
-
+
41449356585 = 3357132259537
BaseRepresentation
bin100110100110100100…
…101111110100101001
310221222200021110222000
4212212210233310221
51134342013402320
631012551321213
72665103501130
oct464644576451
9127880243860
1041449356585
11166400990aa
128049380209
133ba7422600
142012c8a917
151128d7ac90
hex9a692fd29

41449356585 has 96 divisors (see below), whose sum is σ = 91191271680. Its totient is φ = 17490650112.

The previous prime is 41449356563. The next prime is 41449356587. The reversal of 41449356585 is 58565394414.

41449356585 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 9 + 3 + 56 + 585 = 666.

It is not a de Polignac number, because 41449356585 - 27 = 41449356457 is a prime.

It is a super-2 number, since 2×414493565852 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41449356587) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29937 + ... + 289473.

It is an arithmetic number, because the mean of its divisors is an integer number (949909080).

Almost surely, 241449356585 is an apocalyptic number.

41449356585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41449356585 is an abundant number, since it is smaller than the sum of its proper divisors (49741915095).

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

41449356585 is a wasteful number, since it uses less digits than its factorization.

41449356585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259584 (or 259565 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 41449356585 in words is "forty-one billion, four hundred forty-nine million, three hundred fifty-six thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 169 189 195 273 315 351 455 507 585 819 845 945 1183 1365 1521 1755 2457 2535 3549 4095 4563 5915 7605 10647 12285 17745 22815 31941 53235 159705 259537 778611 1297685 1816759 2335833 3373981 3893055 5450277 7007499 9083795 10121943 11679165 16350831 16869905 23617867 27251385 30365829 35037495 43861753 49052493 50609715 70853601 81754155 91097487 118089335 131585259 151829145 212560803 219308765 245262465 307032271 354268005 394755777 455487435 637682409 657926295 921096813 1062804015 1184267331 1535161355 1973778885 2763290439 3188412045 4605484065 5921336655 8289871317 13816452195 41449356585