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40124129 is a prime number
BaseRepresentation
bin1001100100001…
…1111011100001
32210111111221212
42121003323201
540232433004
63551555505
7665022653
oct231037341
983444855
1040124129
1120715941
121152bb95
13840b1b6
1454866d3
1537c896e
hex2643ee1

40124129 has 2 divisors, whose sum is σ = 40124130. Its totient is φ = 40124128.

The previous prime is 40124087. The next prime is 40124191. The reversal of 40124129 is 92142104.

40124129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36966400 + 3157729 = 6080^2 + 1777^2 .

It is a cyclic number.

It is not a de Polignac number, because 40124129 - 212 = 40120033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20062064 + 20062065.

It is an arithmetic number, because the mean of its divisors is an integer number (20062065).

Almost surely, 240124129 is an apocalyptic number.

It is an amenable number.

40124129 is a deficient number, since it is larger than the sum of its proper divisors (1).

40124129 is an equidigital number, since it uses as much as digits as its factorization.

40124129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 40124129 is about 6334.3609780309. The cubic root of 40124129 is about 342.3485867037.

The spelling of 40124129 in words is "forty million, one hundred twenty-four thousand, one hundred twenty-nine".