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41144978061 = 321133434759
BaseRepresentation
bin100110010100011011…
…101000101010001101
310221012110112110010100
4212110123220222031
51133231103244221
630522435401313
72654416354155
oct462433505215
9127173473110
1041144978061
11164a42a4000
127b83453239
133b59350885
141dc4697765
15110c2a4926
hex9946e8a8d

41144978061 has 24 divisors (see below), whose sum is σ = 65370352320. Its totient is φ = 24936343080.

The previous prime is 41144978011. The next prime is 41144978071. The reversal of 41144978061 is 16087944114.

It is not a de Polignac number, because 41144978061 - 27 = 41144977933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41144977998 and 41144978016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144978011) by changing a digit.

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, 1705401 + ... + 1729358.

It is an arithmetic number, because the mean of its divisors is an integer number (2723764680).

Almost surely, 241144978061 is an apocalyptic number.

It is an amenable number.

41144978061 is a deficient number, since it is larger than the sum of its proper divisors (24225374259).

41144978061 is a wasteful number, since it uses less digits than its factorization.

41144978061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434798 (or 3434773 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41144978061 in words is "forty-one billion, one hundred forty-four million, nine hundred seventy-eight thousand, sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 3434759 10304277 30912831 37782349 113347047 340041141 415605839 1246817517 3740452551 4571664229 13714992687 41144978061