Search a number
-
+
405350007041953 is a prime number
BaseRepresentation
bin101110000101010011110011…
…1001011011110111110100001
31222011020002012221101012200001
41130022213213023132332201
5411112223303300320303
63554035120021100001
7151244400023312311
oct13412474713367641
91864202187335601
10405350007041953
1110817aa775821a6
1239567669257601
13145244597a796c
14721508b777441
1531ce13d2e531d
hex170a9e72defa1

405350007041953 has 2 divisors, whose sum is σ = 405350007041954. Its totient is φ = 405350007041952.

The previous prime is 405350007041897. The next prime is 405350007041971. The reversal of 405350007041953 is 359140700053504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380931713270784 + 24418293771169 = 19517472^2 + 4941487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405350007041953 is a prime.

It is a super-2 number, since 2×4053500070419532 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (405350007041983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202675003520976 + 202675003520977.

It is an arithmetic number, because the mean of its divisors is an integer number (202675003520977).

Almost surely, 2405350007041953 is an apocalyptic number.

It is an amenable number.

405350007041953 is a deficient number, since it is larger than the sum of its proper divisors (1).

405350007041953 is an equidigital number, since it uses as much as digits as its factorization.

405350007041953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 405350007041953 in words is "four hundred five trillion, three hundred fifty billion, seven million, forty-one thousand, nine hundred fifty-three".