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41054199145014 = 231123531497974297
BaseRepresentation
bin10010101010110101011001…
…11101001110001000110110
312101100202001201121021110210
421111122230331032020312
520340112444440120024
6223152012210330250
711435032216655556
oct1125325475161066
9171322051537423
1041054199145014
1112098a961558a0
1247306b4289986
1319ba51856c7c3
14a1d068c05166
154b2da97d9129
hex2556acf4e236

41054199145014 has 256 divisors, whose sum is σ = 96012561254400. Its totient is φ = 11579640483840.

The previous prime is 41054199144997. The next prime is 41054199145033.

It is a happy number.

41054199145014 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9554151714 + ... + 9554156010.

It is an arithmetic number, because the mean of its divisors is an integer number (375049067400).

Almost surely, 241054199145014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41054199145014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006280627200).

41054199145014 is an abundant number, since it is smaller than the sum of its proper divisors (54958362109386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41054199145014 is a wasteful number, since it uses less digits than its factorization.

41054199145014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335.

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 41054199145014 in words is "forty-one trillion, fifty-four billion, one hundred ninety-nine million, one hundred forty-five thousand, fourteen".