Search a number
-
+
4000424101 is a prime number
BaseRepresentation
bin1110111001110001…
…1010000010100101
3101022210111121012121
43232130122002211
531143102032401
61500542545541
7201064021012
oct35634320245
911283447177
104000424101
111773153923
129378982b1
134b9a3c76b
1429d424709
1518630aca1
hexee71a0a5

4000424101 has 2 divisors, whose sum is σ = 4000424102. Its totient is φ = 4000424100.

The previous prime is 4000424093. The next prime is 4000424143. The reversal of 4000424101 is 1014240004.

4000424101 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., 3183893476 + 816530625 = 56426^2 + 28575^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000424101 - 23 = 4000424093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000424191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000212050 + 2000212051.

It is an arithmetic number, because the mean of its divisors is an integer number (2000212051).

Almost surely, 24000424101 is an apocalyptic number.

It is an amenable number.

4000424101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000424101 is an equidigital number, since it uses as much as digits as its factorization.

4000424101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4000424101 is about 63248.9059272965. The cubic root of 4000424101 is about 1587.4571515167.

Adding to 4000424101 its reverse (1014240004), we get a palindrome (5014664105).

The spelling of 4000424101 in words is "four billion, four hundred twenty-four thousand, one hundred one".