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41541141376031 = 1127125799540149
BaseRepresentation
bin10010111001000000011001…
…11110011010110000011111
312110002021221120022121002212
421130200030332122300133
520421102224143013111
6224203423100311035
711515151131435013
oct1134401476326037
9173067846277085
1041541141376031
1112266554371180
1247aab5024247b
131a2440b37024b
14a3885db42543
154c08a8da898b
hex25c80cf9ac1f

41541141376031 has 16 divisors (see below), whose sum is σ = 45486679680000. Its totient is φ = 37623792880800.

The previous prime is 41541141375977. The next prime is 41541141376069. The reversal of 41541141376031 is 13067314114514.

41541141376031 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 a de Polignac number, because none of the positive numbers 2k-41541141376031 is a prime.

It is a super-2 number, since 2×415411413760312 (a number of 28 digits) contains 22 as substring.

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 41541141376031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41541146376031) 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, 76636745 + ... + 77176893.

It is an arithmetic number, because the mean of its divisors is an integer number (2842917480000).

Almost surely, 241541141376031 is an apocalyptic number.

41541141376031 is a deficient number, since it is larger than the sum of its proper divisors (3945538303969).

41541141376031 is a wasteful number, since it uses less digits than its factorization.

41541141376031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566230.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 41541141376031 in words is "forty-one trillion, five hundred forty-one billion, one hundred forty-one million, three hundred seventy-six thousand, thirty-one".

Divisors: 1 11 271 2981 25799 283789 540149 5941639 6991529 76906819 146380379 1610184169 13935304051 153288344561 3776467397821 41541141376031