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41541436142041 = 11831011672697571
BaseRepresentation
bin10010111001000000111101…
…00010110111000111011001
312110002022201002222021001111
421130200132202313013121
520421103330123021131
6224203512230220321
711515161341055103
oct1134403642670731
9173068632867044
1041541436142041
11122666957a0250
1247ab012ab46a1
131a244574578c4
14a3888ad52573
154c08c4bd1ab1
hex25c81e8b71d9

41541436142041 has 32 divisors (see below), whose sum is σ = 46595398542336. Its totient is φ = 36719322840000.

The previous prime is 41541436142039. The next prime is 41541436142071. The reversal of 41541436142041 is 14024163414514.

41541436142041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41541436142041 - 21 = 41541436142039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41541436141985 and 41541436142003.

It is not an unprimeable number, because it can be changed into a prime (41541436142071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14050786 + ... + 16748356.

It is an arithmetic number, because the mean of its divisors is an integer number (1456106204448).

Almost surely, 241541436142041 is an apocalyptic number.

It is an amenable number.

41541436142041 is a deficient number, since it is larger than the sum of its proper divisors (5053962400295).

41541436142041 is a wasteful number, since it uses less digits than its factorization.

41541436142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697933.

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 41541436142041 its reverse (14024163414514), we get a palindrome (55565599556555).

The spelling of 41541436142041 in words is "forty-one trillion, five hundred forty-one billion, four hundred thirty-six million, one hundred forty-two thousand, forty-one".

Divisors: 1 11 83 101 167 913 1111 1837 8383 13861 16867 92213 152471 185537 1399961 2697571 15399571 29673281 223898393 272454671 450494357 2462882323 2997001381 4955437927 22613737693 37391031631 45499930057 248751114623 411301347941 500499230627 3776494194731 41541436142041