Search a number
-
+
40430647841 is a prime number
BaseRepresentation
bin100101101001110110…
…101011101000100001
310212100200101201021112
4211221312223220201
51130300221212331
630323521033105
72630623556603
oct455166535041
9125320351245
1040430647841
1116168057151
127a04185795
133a7436497c
141d5786d173
1510b970132b
hex969daba21

40430647841 has 2 divisors, whose sum is σ = 40430647842. Its totient is φ = 40430647840.

The previous prime is 40430647781. The next prime is 40430647879. The reversal of 40430647841 is 14874603404.

40430647841 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 can be written as a sum of positive squares in only one way, i.e., 22769301025 + 17661346816 = 150895^2 + 132896^2 .

It is a cyclic number.

It is not a de Polignac number, because 40430647841 - 222 = 40426453537 is a prime.

It is a super-3 number, since 3×404306478413 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (40430647441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20215323920 + 20215323921.

It is an arithmetic number, because the mean of its divisors is an integer number (20215323921).

Almost surely, 240430647841 is an apocalyptic number.

It is an amenable number.

40430647841 is a deficient number, since it is larger than the sum of its proper divisors (1).

40430647841 is an equidigital number, since it uses as much as digits as its factorization.

40430647841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 40430647841 in words is "forty billion, four hundred thirty million, six hundred forty-seven thousand, eight hundred forty-one".