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40131337 is a prime number
BaseRepresentation
bin1001100100010…
…1101100001001
32210111212211211
42121011230021
540233200322
63552053121
7665052661
oct231055411
983455754
1040131337
11207202a4
12115341a1
13841156c
1454891a1
1537cab77
hex2645b09

40131337 has 2 divisors, whose sum is σ = 40131338. Its totient is φ = 40131336.

The previous prime is 40131323. The next prime is 40131349. The reversal of 40131337 is 73313104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24890121 + 15241216 = 4989^2 + 3904^2 .

It is a cyclic number.

It is not a de Polignac number, because 40131337 - 27 = 40131209 is a prime.

It is a super-2 number, since 2×401313372 = 3221048418815138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20065668 + 20065669.

It is an arithmetic number, because the mean of its divisors is an integer number (20065669).

Almost surely, 240131337 is an apocalyptic number.

It is an amenable number.

40131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40131337 is an equidigital number, since it uses as much as digits as its factorization.

40131337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 40131337 is about 6334.9299127930. The cubic root of 40131337 is about 342.3690855982.

The spelling of 40131337 in words is "forty million, one hundred thirty-one thousand, three hundred thirty-seven".