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4141301472 = 253371125659
BaseRepresentation
bin1111011011010111…
…0011111011100000
3101200121120220122000
43312311303323200
531440133121342
61522534244000
7204424324140
oct36665637340
911617526560
104141301472
111835725100
12976ab6600
1350cc96259
142b4016920
1519388744c
hexf6d73ee0

4141301472 has 288 divisors, whose sum is σ = 15176044800. Its totient is φ = 1075472640.

The previous prime is 4141301467. The next prime is 4141301477. The reversal of 4141301472 is 2741031414.

It is an interprime number because it is at equal distance from previous prime (4141301467) and next prime (4141301477).

It is a tau number, because it is divible by the number of its divisors (288).

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 (4141301477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728979 + ... + 734637.

It is an arithmetic number, because the mean of its divisors is an integer number (52694600).

Almost surely, 24141301472 is an apocalyptic number.

4141301472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588022400).

4141301472 is an abundant number, since it is smaller than the sum of its proper divisors (11034743328).

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

4141301472 is a wasteful number, since it uses less digits than its factorization.

4141301472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4141301472 is about 64352.9445480158. The cubic root of 4141301472 is about 1605.8770156652.

Adding to 4141301472 its reverse (2741031414), we get a palindrome (6882332886).

The spelling of 4141301472 in words is "four billion, one hundred forty-one million, three hundred one thousand, four hundred seventy-two".