Search a number
-
+
240415442412053 is a prime number
BaseRepresentation
bin110110101010100000010101…
…000010110010001000010101
31011112020111021112202020210212
4312222200111002302020111
5223002431311224141203
62211153155102255205
7101432304532535666
oct6652402502621025
91145214245666725
10240415442412053
116a670686695527
1222b6a159287505
13a41c1045819ac
14435225316b36d
151cbdb562591d8
hexdaa8150b2215

240415442412053 has 2 divisors, whose sum is σ = 240415442412054. Its totient is φ = 240415442412052.

The previous prime is 240415442412043. The next prime is 240415442412091. The reversal of 240415442412053 is 350214244514042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120292592968804 + 120122849443249 = 10967798^2 + 10960057^2 .

It is a cyclic number.

It is not a de Polignac number, because 240415442412053 - 210 = 240415442411029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240415442412053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240415442412043) 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, 120207721206026 + 120207721206027.

It is an arithmetic number, because the mean of its divisors is an integer number (120207721206027).

Almost surely, 2240415442412053 is an apocalyptic number.

It is an amenable number.

240415442412053 is a deficient number, since it is larger than the sum of its proper divisors (1).

240415442412053 is an equidigital number, since it uses as much as digits as its factorization.

240415442412053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 614400, while the sum is 41.

Adding to 240415442412053 its reverse (350214244514042), we get a palindrome (590629686926095).

The spelling of 240415442412053 in words is "two hundred forty trillion, four hundred fifteen billion, four hundred forty-two million, four hundred twelve thousand, fifty-three".