Search a number
-
+
45140429 is a prime number
BaseRepresentation
bin1010110000110…
…0100111001101
310010221101000202
42230030213031
543023443204
64251303245
71055454515
oct254144715
9103841022
1045140429
1123531744
121314ab25
139476519
145dd0845
153e69e1e
hex2b0c9cd

45140429 has 2 divisors, whose sum is σ = 45140430. Its totient is φ = 45140428.

The previous prime is 45140419. The next prime is 45140437. The reversal of 45140429 is 92404154.

45140429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41538025 + 3602404 = 6445^2 + 1898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45140429 is a prime.

It is a super-3 number, since 3×451404293 (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45140419) 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, 22570214 + 22570215.

It is an arithmetic number, because the mean of its divisors is an integer number (22570215).

Almost surely, 245140429 is an apocalyptic number.

It is an amenable number.

45140429 is a deficient number, since it is larger than the sum of its proper divisors (1).

45140429 is an equidigital number, since it uses as much as digits as its factorization.

45140429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 45140429 is about 6718.6627389682. The cubic root of 45140429 is about 356.0589395534.

The spelling of 45140429 in words is "forty-five million, one hundred forty thousand, four hundred twenty-nine".