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41134130443441 = 739732611453889
BaseRepresentation
bin10010101101001010010010…
…01110111011010010110001
312101122101101021102221122001
421112211021032323102301
520342420144343142231
6223252431511414001
711443562045542210
oct1126451116732261
9171571337387561
1041134130443441
11121199832a8412
1247440a1084301
1319c4c1639baa9
14a22c8c7b9077
154b4ed6c36b61
hex2569493bb4b1

41134130443441 has 16 divisors (see below), whose sum is σ = 47130398005120. Its totient is φ = 35167859527680.

The previous prime is 41134130443313. The next prime is 41134130443451. The reversal of 41134130443441 is 14434403143114.

41134130443441 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 41134130443441 - 27 = 41134130443313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41134130443441.

It is not an unprimeable number, because it can be changed into a prime (41134130443451) 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 15 ways as a sum of consecutive naturals, for example, 90399025 + ... + 90852913.

It is an arithmetic number, because the mean of its divisors is an integer number (2945649875320).

Almost surely, 241134130443441 is an apocalyptic number.

It is an amenable number.

41134130443441 is a deficient number, since it is larger than the sum of its proper divisors (5996267561679).

41134130443441 is a wasteful number, since it uses less digits than its factorization.

41134130443441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486904.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 41134130443441 its reverse (14434403143114), we get a palindrome (55568533586555).

The spelling of 41134130443441 in words is "forty-one trillion, one hundred thirty-four billion, one hundred thirty million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 7 397 2779 32611 228277 453889 3177223 12946567 90625969 180193933 1261357531 14801774179 103612419253 5876304349063 41134130443441