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40129189 is a prime number
BaseRepresentation
bin1001100100010…
…1001010100101
32210111202220021
42121011022211
540233113224
63552035141
7665043502
oct231051245
983452807
1040129189
1120719721
1211532ab1
1384105a9
1454884a9
1537ca1e4
hex26452a5

40129189 has 2 divisors, whose sum is σ = 40129190. Its totient is φ = 40129188.

The previous prime is 40129171. The next prime is 40129207. The reversal of 40129189 is 98192104.

It is a balanced prime because it is at equal distance from previous prime (40129171) and next prime (40129207).

It can be written as a sum of positive squares in only one way, i.e., 27384289 + 12744900 = 5233^2 + 3570^2 .

It is a cyclic number.

It is not a de Polignac number, because 40129189 - 217 = 39998117 is a prime.

It is a super-3 number, since 3×401291893 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40129289) 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, 20064594 + 20064595.

It is an arithmetic number, because the mean of its divisors is an integer number (20064595).

Almost surely, 240129189 is an apocalyptic number.

It is an amenable number.

40129189 is a deficient number, since it is larger than the sum of its proper divisors (1).

40129189 is an equidigital number, since it uses as much as digits as its factorization.

40129189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 40129189 is about 6334.7603743157. The cubic root of 40129189 is about 342.3629771389.

The spelling of 40129189 in words is "forty million, one hundred twenty-nine thousand, one hundred eighty-nine".