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4027144671 = 32111715715241
BaseRepresentation
bin1111000000001001…
…0101100111011111
3101101122210010221100
43300002111213133
531221422112141
61503335404143
7201540110364
oct36002254737
911348703840
104027144671
111787244440
12944823653
134c2436b54
142a2bbc46b
151888380b6
hexf00959df

4027144671 has 48 divisors (see below), whose sum is σ = 6762326688. Its totient is φ = 2282342400.

The previous prime is 4027144669. The next prime is 4027144691. The reversal of 4027144671 is 1764417204.

It is a happy number.

It is not a de Polignac number, because 4027144671 - 21 = 4027144669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027144691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256611 + ... + 271851.

It is an arithmetic number, because the mean of its divisors is an integer number (140881806).

Almost surely, 24027144671 is an apocalyptic number.

4027144671 is a deficient number, since it is larger than the sum of its proper divisors (2735182017).

4027144671 is a wasteful number, since it uses less digits than its factorization.

4027144671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4027144671 is about 63459.7878266229. The cubic root of 4027144671 is about 1590.9837498273.

The spelling of 4027144671 in words is "four billion, twenty-seven million, one hundred forty-four thousand, six hundred seventy-one".

Divisors: 1 3 9 11 17 33 51 99 153 157 187 471 561 1413 1683 1727 2669 5181 8007 15241 15543 24021 29359 45723 88077 137169 167651 259097 264231 502953 777291 1508859 2331873 2392837 2850067 7178511 8550201 21535533 25650603 26321207 40678229 78963621 122034687 236890863 366104061 447460519 1342381557 4027144671