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41407465711143 = 3712784315423481
BaseRepresentation
bin10010110101000111011010…
…10010001110011000100111
312102121111220110222020011110
421122203231102032120213
520411404442210224033
6224022154355040103
711502406413146340
oct1132435522163047
9172544813866143
1041407465711143
11122148979a3674
1247890645a0033
131a14926b1549c
14a321bc42d0c7
154bc1834d9363
hex25a8ed48e627

41407465711143 has 16 divisors (see below), whose sum is σ = 63097588249856. Its totient is φ = 23661222361920.

The previous prime is 41407465711133. The next prime is 41407465711201. The reversal of 41407465711143 is 34111756470414.

It is a happy number.

41407465711143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41407465711143 - 24 = 41407465711127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41407465711092 and 41407465711101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41407465711123) 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, 5027038 + ... + 10396443.

It is an arithmetic number, because the mean of its divisors is an integer number (3943599265616).

Almost surely, 241407465711143 is an apocalyptic number.

41407465711143 is a deficient number, since it is larger than the sum of its proper divisors (21690122538713).

41407465711143 is a wasteful number, since it uses less digits than its factorization.

41407465711143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551334.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 41407465711143 in words is "forty-one trillion, four hundred seven billion, four hundred sixty-five million, seven hundred eleven thousand, one hundred forty-three".

Divisors: 1 3 7 21 127843 383529 894901 2684703 15423481 46270443 107964367 323893101 1971784081483 5915352244449 13802488570381 41407465711143