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41143010032341 = 35731780243311
BaseRepresentation
bin10010101101011010110100…
…11111110111101011010101
312101200020022002221210200000
421112231122133313223111
520343041341032013331
6223300500552041513
711444325100030410
oct1126553237675325
9171606262853600
1041143010032341
111212271a626a38
12474595a993299
1319c59ccc0ccc9
14a23491c08b77
154b535657b0e6
hex256b5a7f7ad5

41143010032341 has 48 divisors (see below), whose sum is σ = 72706192785408. Its totient is φ = 22751894919600.

The previous prime is 41143010032307. The next prime is 41143010032351. The reversal of 41143010032341 is 14323001034114.

41143010032341 is a `hidden beast` number, since 4 + 1 + 14 + 301 + 0 + 0 + 3 + 2 + 341 = 666.

It is not a de Polignac number, because 41143010032341 - 26 = 41143010032277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41143010032301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390068925 + ... + 390174386.

It is an arithmetic number, because the mean of its divisors is an integer number (1514712349696).

Almost surely, 241143010032341 is an apocalyptic number.

It is an amenable number.

41143010032341 is a deficient number, since it is larger than the sum of its proper divisors (31563182753067).

41143010032341 is an equidigital number, since it uses as much as digits as its factorization.

41143010032341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780243364 (or 780243352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41143010032341 its reverse (14323001034114), we get a palindrome (55466011066455).

The spelling of 41143010032341 in words is "forty-one trillion, one hundred forty-three billion, ten million, thirty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 243 279 567 651 837 1701 1953 2511 5859 7533 17577 52731 780243311 2340729933 5461703177 7022189799 16385109531 21066569397 24187542641 49155328593 63199708191 72562627923 147465985779 169312798487 189599124573 217687883769 442397957337 507938395461 653063651307 1327193872011 1523815186383 1959190953921 4571445559149 5877572861763 13714336677447 41143010032341