Search a number
-
+
41031643331441 = 7194710761345913
BaseRepresentation
bin10010101010001011011001…
…00001100111101101110001
312101021120211202212020010002
421111011230201213231301
520334230301143101231
6223133402101115345
711433303241503260
oct1125055441475561
9171246752766102
1041031643331441
111208a470a71254
12472825a3b8b55
1319b8362523159
14a1bd293005d7
154b24d94ba0cb
hex25516c867b71

41031643331441 has 32 divisors (see below), whose sum is σ = 50882754908160. Its totient is φ = 32305248026496.

The previous prime is 41031643331431. The next prime is 41031643331443. The reversal of 41031643331441 is 14413334613014.

41031643331441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41031643331441 - 226 = 41031576222577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41031643331395 and 41031643331404.

It is not an unprimeable number, because it can be changed into a prime (41031643331443) 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, 30004100 + ... + 31341813.

It is an arithmetic number, because the mean of its divisors is an integer number (1590086090880).

Almost surely, 241031643331441 is an apocalyptic number.

It is an amenable number.

41031643331441 is a deficient number, since it is larger than the sum of its proper divisors (9851111576719).

41031643331441 is a wasteful number, since it uses less digits than its factorization.

41031643331441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61346093.

The product of its (nonzero) digits is 124416, while the sum is 38.

Adding to 41031643331441 its reverse (14413334613014), we get a palindrome (55444977944455).

The spelling of 41031643331441 in words is "forty-one trillion, thirty-one billion, six hundred forty-three million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 7 19 47 107 133 329 749 893 2033 5029 6251 14231 35203 95551 668857 61345913 429421391 1165572347 2883257911 6564012691 8159006429 20182805377 45948088837 54781900309 124716241129 308508596477 383473302163 873013687903 2159560175339 5861663333063 41031643331441