Search a number
-
+
240420214240201 is a prime number
BaseRepresentation
bin110110101010100100110001…
…011101110111001111001001
31011112020221121002210020102201
4312222210301131313033021
5223003021044321141301
62211155304403200201
7101432534014443262
oct6652446135671711
91145227532706381
10240420214240201
116a672705218656
1222b6b06b376061
13a41c6b5071448
144352586bd5969
151cbdd3513e201
hexdaa9317773c9

240420214240201 has 2 divisors, whose sum is σ = 240420214240202. Its totient is φ = 240420214240200.

The previous prime is 240420214240187. The next prime is 240420214240253. The reversal of 240420214240201 is 102042412024042.

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., 229281708486601 + 11138505753600 = 15142051^2 + 3337440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240420214240201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240420214240201.

It is not a weakly prime, because it can be changed into another prime (240420214243201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120210107120100 + 120210107120101.

It is an arithmetic number, because the mean of its divisors is an integer number (120210107120101).

Almost surely, 2240420214240201 is an apocalyptic number.

It is an amenable number.

240420214240201 is a deficient number, since it is larger than the sum of its proper divisors (1).

240420214240201 is an equidigital number, since it uses as much as digits as its factorization.

240420214240201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 240420214240201 its reverse (102042412024042), we get a palindrome (342462626264243).

The spelling of 240420214240201 in words is "two hundred forty trillion, four hundred twenty billion, two hundred fourteen million, two hundred forty thousand, two hundred one".