Search a number
-
+
41431000337 is a prime number
BaseRepresentation
bin100110100101011110…
…101110010100010001
310221221101201212220222
4212211132232110101
51134322314002322
631011054042425
72664461456306
oct464536562421
9127841655828
1041431000337
11166307a0851
1280431a9415
133ba369641c
14201066d0ad
151127451e42
hex9a57ae511

41431000337 has 2 divisors, whose sum is σ = 41431000338. Its totient is φ = 41431000336.

The previous prime is 41431000327. The next prime is 41431000361. The reversal of 41431000337 is 73300013414.

41431000337 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., 41218744576 + 212255761 = 203024^2 + 14569^2 .

It is a cyclic number.

It is not a de Polignac number, because 41431000337 - 216 = 41430934801 is a prime.

It is a super-2 number, since 2×414310003372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41431000327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20715500168 + 20715500169.

It is an arithmetic number, because the mean of its divisors is an integer number (20715500169).

Almost surely, 241431000337 is an apocalyptic number.

It is an amenable number.

41431000337 is a deficient number, since it is larger than the sum of its proper divisors (1).

41431000337 is an equidigital number, since it uses as much as digits as its factorization.

41431000337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 41431000337 in words is "forty-one billion, four hundred thirty-one million, three hundred thirty-seven", and thus it is an aban number.