Search a number
-
+
241404611827 is a prime number
BaseRepresentation
bin1110000011010011010…
…1100000110011110011
3212002002220100220012011
43200310311200303303
512423344040034302
6302522202343351
723304142226011
oct3406465406363
9762086326164
10241404611827
1193419678965
123a951abab57
13199c23a63a2
14b9810418b1
15642d4125d7
hex3834d60cf3

241404611827 has 2 divisors, whose sum is σ = 241404611828. Its totient is φ = 241404611826.

The previous prime is 241404611759. The next prime is 241404611831. The reversal of 241404611827 is 728116404142.

It is a happy number.

241404611827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 241404611827 - 211 = 241404609779 is a prime.

It is a super-2 number, since 2×2414046118272 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241404611827.

It is not a weakly prime, because it can be changed into another prime (241404611857) 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, 120702305913 + 120702305914.

It is an arithmetic number, because the mean of its divisors is an integer number (120702305914).

Almost surely, 2241404611827 is an apocalyptic number.

241404611827 is a deficient number, since it is larger than the sum of its proper divisors (1).

241404611827 is an equidigital number, since it uses as much as digits as its factorization.

241404611827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 241404611827 in words is "two hundred forty-one billion, four hundred four million, six hundred eleven thousand, eight hundred twenty-seven".