Search a number
-
+
124144440401 is a prime number
BaseRepresentation
bin111001110011110010…
…1011101010001010001
3102212102211122222221002
41303213211131101101
54013221434043101
6133010422111345
711653262222012
oct1634745352121
9385384588832
10124144440401
1148716333583
122008787b555
13b925a0c277
146019939009
153368c5cd6b
hex1ce795d451

124144440401 has 2 divisors, whose sum is σ = 124144440402. Its totient is φ = 124144440400.

The previous prime is 124144440373. The next prime is 124144440443. The reversal of 124144440401 is 104044441421.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63542309776 + 60602130625 = 252076^2 + 246175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-124144440401 is a prime.

It is not a weakly prime, because it can be changed into another prime (124144440701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62072220200 + 62072220201.

It is an arithmetic number, because the mean of its divisors is an integer number (62072220201).

Almost surely, 2124144440401 is an apocalyptic number.

It is an amenable number.

124144440401 is a deficient number, since it is larger than the sum of its proper divisors (1).

124144440401 is an equidigital number, since it uses as much as digits as its factorization.

124144440401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 124144440401 its reverse (104044441421), we get a palindrome (228188881822).

The spelling of 124144440401 in words is "one hundred twenty-four billion, one hundred forty-four million, four hundred forty thousand, four hundred one".