Search a number
-
+
2014441214141 is a prime number
BaseRepresentation
bin11101010100000110000…
…011011001000010111101
321010120121212112112120002
4131110012003121002331
5231001033422323031
64141231014204045
7265352505541136
oct35240603310275
97116555475502
102014441214141
11707357604804
122864b4353625
13117c653b4bb5
146d6dc7b8c8d
1537600c15ccb
hex1d5060d90bd

2014441214141 has 2 divisors, whose sum is σ = 2014441214142. Its totient is φ = 2014441214140.

The previous prime is 2014441214131. The next prime is 2014441214161. The reversal of 2014441214141 is 1414121444102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1045291536025 + 969149678116 = 1022395^2 + 984454^2 .

It is a cyclic number.

It is not a de Polignac number, because 2014441214141 - 26 = 2014441214077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2014441214131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007220607070 + 1007220607071.

It is an arithmetic number, because the mean of its divisors is an integer number (1007220607071).

Almost surely, 22014441214141 is an apocalyptic number.

It is an amenable number.

2014441214141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014441214141 is an equidigital number, since it uses as much as digits as its factorization.

2014441214141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 2014441214141 its reverse (1414121444102), we get a palindrome (3428562658243).

The spelling of 2014441214141 in words is "two trillion, fourteen billion, four hundred forty-one million, two hundred fourteen thousand, one hundred forty-one".