Search a number
-
+
441436560013 is a prime number
BaseRepresentation
bin1100110110001111010…
…10110101101010001101
31120012102110202201100201
412123013222311222031
524213030224410023
6534443153253501
743615131564301
oct6330752655215
91505373681321
10441436560013
11160237480219
1271678264291
13328202001c7
141751947bd01
15b739597bad
hex66c7ab5a8d

441436560013 has 2 divisors, whose sum is σ = 441436560014. Its totient is φ = 441436560012.

The previous prime is 441436560001. The next prime is 441436560053. The reversal of 441436560013 is 310065634144.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230862952324 + 210573607689 = 480482^2 + 458883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441436560013 is a prime.

It is a super-3 number, since 3×4414365600133 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (441436560053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220718280006 + 220718280007.

It is an arithmetic number, because the mean of its divisors is an integer number (220718280007).

Almost surely, 2441436560013 is an apocalyptic number.

It is an amenable number.

441436560013 is a deficient number, since it is larger than the sum of its proper divisors (1).

441436560013 is an equidigital number, since it uses as much as digits as its factorization.

441436560013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 441436560013 in words is "four hundred forty-one billion, four hundred thirty-six million, five hundred sixty thousand, thirteen".