Search a number
-
+
40400040349 is a prime number
BaseRepresentation
bin100101101000000001…
…111011000110011101
310212021112210200200201
4211220001323012131
51130214402242344
630320505023501
72630102451124
oct455001730635
9125245720621
1040400040349
11161518512a9
1279b5a84b91
133a6ac09326
141d53782abb
1510b6ba74d4
hex96807b19d

40400040349 has 2 divisors, whose sum is σ = 40400040350. Its totient is φ = 40400040348.

The previous prime is 40400040287. The next prime is 40400040361. The reversal of 40400040349 is 94304000404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22708380249 + 17691660100 = 150693^2 + 133010^2 .

It is a cyclic number.

It is not a de Polignac number, because 40400040349 - 29 = 40400039837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40400040749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20200020174 + 20200020175.

It is an arithmetic number, because the mean of its divisors is an integer number (20200020175).

Almost surely, 240400040349 is an apocalyptic number.

It is an amenable number.

40400040349 is a deficient number, since it is larger than the sum of its proper divisors (1).

40400040349 is an equidigital number, since it uses as much as digits as its factorization.

40400040349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 40400040349 in words is "forty billion, four hundred million, forty thousand, three hundred forty-nine".