Search a number
-
+
405344144040089 is a prime number
BaseRepresentation
bin101110000101010001000100…
…1101101111010000010011001
31222011012112002100002212002212
41130022202021231322002121
5411112124301333240324
63554032310140404505
7151244101521522362
oct13412421155720231
91864175070085085
10405344144040089
11108178539013111
12395664b1846735
1314523a33c07aa7
147214a92c2ab69
1531cdde871e70e
hex170a889b7a099

405344144040089 has 2 divisors, whose sum is σ = 405344144040090. Its totient is φ = 405344144040088.

The previous prime is 405344144040079. The next prime is 405344144040139. The reversal of 405344144040089 is 980040441443504.

It is an a-pointer prime, because the next prime (405344144040139) can be obtained adding 405344144040089 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299722379250064 + 105621764790025 = 17312492^2 + 10277245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405344144040089 is a prime.

It is not a weakly prime, because it can be changed into another prime (405344144040079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202672072020044 + 202672072020045.

It is an arithmetic number, because the mean of its divisors is an integer number (202672072020045).

Almost surely, 2405344144040089 is an apocalyptic number.

It is an amenable number.

405344144040089 is a deficient number, since it is larger than the sum of its proper divisors (1).

405344144040089 is an equidigital number, since it uses as much as digits as its factorization.

405344144040089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 405344144040089 in words is "four hundred five trillion, three hundred forty-four billion, one hundred forty-four million, forty thousand, eighty-nine".