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4140793801 = 22922812
BaseRepresentation
bin1111011011001111…
…0111111111001001
3101200120122010020101
43312303313333021
531440020400201
61522515325401
7204420111064
oct36663677711
911616563211
104140793801
111835408741
129768b0861
1350cb49161
142b3d238db
151937d6d01
hexf6cf7fc9

4140793801 has 9 divisors (see below), whose sum is σ = 4173808053. Its totient is φ = 4108040160.

The previous prime is 4140793793. The next prime is 4140793837. The reversal of 4140793801 is 1083970414.

The square root of 4140793801 is 64349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1718185401 + 2422608400 = 41451^2 + 49220^2 .

It is not a de Polignac number, because 4140793801 - 23 = 4140793793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4140793871) 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 8 ways as a sum of consecutive naturals, for example, 14735781 + ... + 14736061.

Almost surely, 24140793801 is an apocalyptic number.

4140793801 is the 64349-th square number.

4140793801 is the 32175-th centered octagonal number.

It is an amenable number.

4140793801 is a deficient number, since it is larger than the sum of its proper divisors (33014252).

4140793801 is an frugal number, since it uses more digits than its factorization.

4140793801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 4140793801 is about 1605.8113929367.

The spelling of 4140793801 in words is "four billion, one hundred forty million, seven hundred ninety-three thousand, eight hundred one".

Divisors: 1 229 281 52441 64349 78961 14735921 18082069 4140793801