Search a number
-
+
41132144205 = 3251972766173
BaseRepresentation
bin100110010011101010…
…101011011001001101
310221011120101102101100
4212103222223121031
51133214312103310
630521300333313
72654202312525
oct462352533115
9127146342340
1041132144205
1116498028809
127b7b0a4239
133b567a9189
141dc2ab6685
15110b0bbec0
hex993aab64d

41132144205 has 48 divisors (see below), whose sum is σ = 75152488320. Its totient is φ = 20753656704.

The previous prime is 41132144203. The next prime is 41132144213. The reversal of 41132144205 is 50244123114.

41132144205 is a `hidden beast` number, since 411 + 3 + 2 + 1 + 44 + 205 = 666.

It is not a de Polignac number, because 41132144205 - 21 = 41132144203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132144203) 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 47 ways as a sum of consecutive naturals, for example, 588499 + ... + 654671.

It is an arithmetic number, because the mean of its divisors is an integer number (1565676840).

Almost surely, 241132144205 is an apocalyptic number.

41132144205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41132144205 is a deficient number, since it is larger than the sum of its proper divisors (34020344115).

41132144205 is a wasteful number, since it uses less digits than its factorization.

41132144205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66930 (or 66927 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41132144205 its reverse (50244123114), we get a palindrome (91376267319).

The spelling of 41132144205 in words is "forty-one billion, one hundred thirty-two million, one hundred forty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 727 855 2181 3635 6543 10905 13813 32715 41439 66173 69065 124317 198519 207195 330865 595557 621585 992595 1257287 2977785 3771861 6286435 11315583 18859305 48107771 56577915 144323313 240538855 432969939 721616565 914047649 2164849695 2742142947 4570238245 8226428841 13710714735 41132144205