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41133402441241 = 1122937617513481
BaseRepresentation
bin10010101101001000111011…
…10101110100011000011001
312101122022111112120121100121
421112210131311310120121
520342412202011104431
6223252231344033241
711443535025612625
oct1126443565643031
9171568445517317
1041133402441241
111211963a372600
124743b19302821
1319c4b2b606b66
14a22c1dc32185
154b4e92d82611
hex25691dd74619

41133402441241 has 48 divisors (see below), whose sum is σ = 48113859039120. Its totient is φ = 35071752038400.

The previous prime is 41133402441211. The next prime is 41133402441277. The reversal of 41133402441241 is 14214420433114.

41133402441241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2329909171216 + 38803493270025 = 1526404^2 + 6229245^2 .

It is not a de Polignac number, because 41133402441241 - 27 = 41133402441113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41133402441197 and 41133402441206.

It is not an unprimeable number, because it can be changed into a prime (41133402441211) 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 47 ways as a sum of consecutive naturals, for example, 79850221 + ... + 80363701.

It is an arithmetic number, because the mean of its divisors is an integer number (1002372063315).

Almost surely, 241133402441241 is an apocalyptic number.

It is an amenable number.

41133402441241 is a deficient number, since it is larger than the sum of its proper divisors (6980456597879).

41133402441241 is a wasteful number, since it uses less digits than its factorization.

41133402441241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514186 (or 514175 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 41133402441241 its reverse (14214420433114), we get a palindrome (55347822874355).

The spelling of 41133402441241 in words is "forty-one trillion, one hundred thirty-three billion, four hundred two million, four hundred forty-one thousand, two hundred forty-one".

Divisors: 1 11 29 37 121 319 407 617 1073 3509 4477 6787 11803 17893 22829 74657 129833 196823 251119 513481 662041 2165053 2762309 5648291 7282451 14890949 18998797 62131201 80106961 163800439 208986767 316817777 550965113 1801804829 2298854437 3484995547 6060616243 9187715533 11722257749 38334951017 66666778673 101064870863 128944835239 339945474721 1111713579493 1418393187629 3739400221931 41133402441241