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16141450041 = 34593377579
BaseRepresentation
bin11110000100001101…
…01111101100111001
31112122220222121210000
433002012233230321
5231024202400131
611225411143213
71111000030053
oct170206575471
945586877700
1016141450041
116933478362
1231658a4b09
1316a3180592
14ad1a728d3
15647136ce6
hex3c21afb39

16141450041 has 20 divisors (see below), whose sum is σ = 24521230800. Its totient is φ = 10578574296.

The previous prime is 16141450027. The next prime is 16141450043. The reversal of 16141450041 is 14005414161.

16141450041 is a `hidden beast` number, since 1 + 614 + 1 + 4 + 5 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 16141450041 - 217 = 16141318969 is a prime.

It is a super-3 number, since 3×161414500413 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16141449987 and 16141450014.

It is not an unprimeable number, because it can be changed into a prime (16141450043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1684011 + ... + 1693568.

It is an arithmetic number, because the mean of its divisors is an integer number (1226061540).

Almost surely, 216141450041 is an apocalyptic number.

It is an amenable number.

16141450041 is a deficient number, since it is larger than the sum of its proper divisors (8379780759).

16141450041 is an equidigital number, since it uses as much as digits as its factorization.

16141450041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377650 (or 3377641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 16141450041 in words is "sixteen billion, one hundred forty-one million, four hundred fifty thousand, forty-one".

Divisors: 1 3 9 27 59 81 177 531 1593 4779 3377579 10132737 30398211 91194633 199277161 273583899 597831483 1793494449 5380483347 16141450041