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4140005331 = 371117922101
BaseRepresentation
bin1111011011000011…
…0111011111010011
3101200112011001122210
43312300313133103
531434320132311
61522450403203
7204410315250
oct36660673723
911615131583
104140005331
111834a1a310
12976590503
1350c9312c7
142b3b9a427
151936cd3a6
hexf6c377d3

4140005331 has 16 divisors (see below), whose sum is σ = 6882087168. Its totient is φ = 2150652000.

The previous prime is 4140005327. The next prime is 4140005333. The reversal of 4140005331 is 1335000414.

It is not a de Polignac number, because 4140005331 - 22 = 4140005327 is a prime.

It is a super-2 number, since 2×41400053312 = 34279288281416839122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4140005298 and 4140005307.

It is not an unprimeable number, because it can be changed into a prime (4140005333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8960820 + ... + 8961281.

It is an arithmetic number, because the mean of its divisors is an integer number (430130448).

Almost surely, 24140005331 is an apocalyptic number.

4140005331 is a deficient number, since it is larger than the sum of its proper divisors (2742081837).

4140005331 is a wasteful number, since it uses less digits than its factorization.

4140005331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17922122.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4140005331 is about 64342.8731950944. The cubic root of 4140005331 is about 1605.7094628446.

Adding to 4140005331 its reverse (1335000414), we get a palindrome (5475005745).

The spelling of 4140005331 in words is "four billion, one hundred forty million, five thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 17922101 53766303 125454707 197143111 376364121 591429333 1380001777 4140005331