Search a number
-
+
400334203533353 is a prime number
BaseRepresentation
bin101101100000110100001000…
…1111111100011100000101001
31221111110120112222011122222112
41123001220101333203200221
5404433033422101031403
63535234554424332105
7150216122523042065
oct13301502177434051
91844416488148875
10400334203533353
11106616867226831
1238a9754a914035
131424c47958679b
1470c03c91aaaa5
1531439284929d8
hex16c1a11fe3829

400334203533353 has 2 divisors, whose sum is σ = 400334203533354. Its totient is φ = 400334203533352.

The previous prime is 400334203533337. The next prime is 400334203533371. The reversal of 400334203533353 is 353335302433004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 318226103465449 + 82108100067904 = 17838893^2 + 9061352^2 .

It is a cyclic number.

It is not a de Polignac number, because 400334203533353 - 24 = 400334203533337 is a prime.

It is a super-3 number, since 3×4003342035333533 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400334203533353.

It is not a weakly prime, because it can be changed into another prime (400334203533053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200167101766676 + 200167101766677.

It is an arithmetic number, because the mean of its divisors is an integer number (200167101766677).

Almost surely, 2400334203533353 is an apocalyptic number.

It is an amenable number.

400334203533353 is a deficient number, since it is larger than the sum of its proper divisors (1).

400334203533353 is an equidigital number, since it uses as much as digits as its factorization.

400334203533353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1749600, while the sum is 41.

Adding to 400334203533353 its reverse (353335302433004), we get a palindrome (753669505966357).

The spelling of 400334203533353 in words is "four hundred trillion, three hundred thirty-four billion, two hundred three million, five hundred thirty-three thousand, three hundred fifty-three".