Search a number
-
+
240124357366189 is a prime number
BaseRepresentation
bin110110100110010001001111…
…000001011101000110101101
31011111012122221022212211002021
4312212101033001131012231
5222433144140441204224
62210411335031430141
7101402261265504262
oct6646211701350655
91144178838784067
10240124357366189
116a56919378221a
1222b21861525351
13a3ca8256c739a
14434211c023269
151cb62bb5781e4
hexda644f05d1ad

240124357366189 has 2 divisors, whose sum is σ = 240124357366190. Its totient is φ = 240124357366188.

The previous prime is 240124357366151. The next prime is 240124357366279. The reversal of 240124357366189 is 981663753421042.

240124357366189 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., 227935412100900 + 12188945265289 = 15097530^2 + 3491267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240124357366189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240124357366139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120062178683094 + 120062178683095.

It is an arithmetic number, because the mean of its divisors is an integer number (120062178683095).

It is a 1-persistent number, because it is pandigital, but 2⋅240124357366189 = 480248714732378 is not.

Almost surely, 2240124357366189 is an apocalyptic number.

It is an amenable number.

240124357366189 is a deficient number, since it is larger than the sum of its proper divisors (1).

240124357366189 is an equidigital number, since it uses as much as digits as its factorization.

240124357366189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 240124357366189 in words is "two hundred forty trillion, one hundred twenty-four billion, three hundred fifty-seven million, three hundred sixty-six thousand, one hundred eighty-nine".