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241106041875413 = 111324123029137363
BaseRepresentation
bin110110110100100011011111…
…111110101010101111010101
31011121200111211121110220120002
4312310203133332222233111
5223100240133210003123
62212442330405421045
7101533223324243111
oct6664433776525725
91147614747426502
10241106041875413
116a907553020880
122305bb7170a785
13a46c28229ca00
144377847b96741
151cd1ac4db7528
hexdb48dffaabd5

241106041875413 has 48 divisors (see below), whose sum is σ = 291775278997440. Its totient is φ = 197381941286400.

The previous prime is 241106041875409. The next prime is 241106041875443. The reversal of 241106041875413 is 314578140601142.

It is a happy number.

It is not a de Polignac number, because 241106041875413 - 22 = 241106041875409 is a prime.

It is a super-3 number, since 3×2411060418754133 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241106041875443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755178670 + ... + 1755316032.

It is an arithmetic number, because the mean of its divisors is an integer number (6078651645780).

Almost surely, 2241106041875413 is an apocalyptic number.

It is an amenable number.

241106041875413 is a deficient number, since it is larger than the sum of its proper divisors (50669237122027).

241106041875413 is a wasteful number, since it uses less digits than its factorization.

241106041875413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160470 (or 160457 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 241106041875413 in words is "two hundred forty-one trillion, one hundred six billion, forty-one million, eight hundred seventy-five thousand, four hundred thirteen".

Divisors: 1 11 13 41 143 169 451 533 1859 5863 6929 23029 76219 137363 253319 299377 944189 1510993 1785719 3293147 3891901 5631883 10386079 12274457 19642909 23214347 42810911 61950713 73214479 135019027 159567941 255357817 805359269 951788227 1755247351 3163332527 10469670497 34796657797 41123322851 129696633607 452356551361 534603197063 1426662969677 1686056236891 5880635167693 18546618605801 21918731079583 241106041875413