Search a number
-
+
256003441 is a prime number
BaseRepresentation
bin11110100001001…
…00110101110001
3122211201022200221
433100210311301
51011014102231
641223013041
76225664501
oct1720446561
9584638627
10256003441
111215641a1
127189a181
1341065135
1425ddda01
151771cd11
hexf424d71

256003441 has 2 divisors, whose sum is σ = 256003442. Its totient is φ = 256003440.

The previous prime is 256003439. The next prime is 256003453. The reversal of 256003441 is 144300652.

256003441 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., 255200625 + 802816 = 15975^2 + 896^2 .

It is a cyclic number.

It is not a de Polignac number, because 256003441 - 21 = 256003439 is a prime.

It is a super-3 number, since 3×2560034413 (a number of 26 digits) contains 333 as substring.

Together with 256003439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (256003141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128001720 + 128001721.

It is an arithmetic number, because the mean of its divisors is an integer number (128001721).

Almost surely, 2256003441 is an apocalyptic number.

It is an amenable number.

256003441 is a deficient number, since it is larger than the sum of its proper divisors (1).

256003441 is an equidigital number, since it uses as much as digits as its factorization.

256003441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 256003441 is about 16000.1075308887. The cubic root of 256003441 is about 634.9632656949.

The spelling of 256003441 in words is "two hundred fifty-six million, three thousand, four hundred forty-one".