Search a number
-
+
4042140101 is a prime number
BaseRepresentation
bin1111000011101110…
…0010100111000101
3101102200222222210122
43300323202213011
531234241440401
61505033031325
7202111424006
oct36073424705
911380888718
104042140101
11179475675a
12949855545
134c558739c
142a4ba31ad
15189ceb21b
hexf0ee29c5

4042140101 has 2 divisors, whose sum is σ = 4042140102. Its totient is φ = 4042140100.

The previous prime is 4042140079. The next prime is 4042140119. The reversal of 4042140101 is 1010412404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3708201025 + 333939076 = 60895^2 + 18274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4042140101 is a prime.

It is a super-2 number, since 2×40421401012 = 32677793192224580402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4042140101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042140181) 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, 2021070050 + 2021070051.

It is an arithmetic number, because the mean of its divisors is an integer number (2021070051).

Almost surely, 24042140101 is an apocalyptic number.

It is an amenable number.

4042140101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042140101 is an equidigital number, since it uses as much as digits as its factorization.

4042140101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4042140101 is about 63577.8271176359. The cubic root of 4042140101 is about 1592.9560268526.

Adding to 4042140101 its reverse (1010412404), we get a palindrome (5052552505).

The spelling of 4042140101 in words is "four billion, forty-two million, one hundred forty thousand, one hundred one".