Search a number
-
+
404941144343 is a prime number
BaseRepresentation
bin1011110010010000101…
…11111000000100010111
31102201020001012111202212
411321020113320010113
523113304413104333
6510005530024035
741153550635441
oct5711027700427
91381201174685
10404941144343
111468097a026a
1266591b7801b
132c255230aa8
1415856503491
15a8005c6448
hex5e485f8117

404941144343 has 2 divisors, whose sum is σ = 404941144344. Its totient is φ = 404941144342.

The previous prime is 404941144319. The next prime is 404941144369. The reversal of 404941144343 is 343441149404.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 404941144343 - 210 = 404941143319 is a prime.

It is a super-3 number, since 3×4049411443433 (a number of 36 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404941144343.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404941144313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202470572171 + 202470572172.

It is an arithmetic number, because the mean of its divisors is an integer number (202470572172).

Almost surely, 2404941144343 is an apocalyptic number.

404941144343 is a deficient number, since it is larger than the sum of its proper divisors (1).

404941144343 is an equidigital number, since it uses as much as digits as its factorization.

404941144343 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 404941144343 in words is "four hundred four billion, nine hundred forty-one million, one hundred forty-four thousand, three hundred forty-three".