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442231003430343 = 32174519639610249
BaseRepresentation
bin110010010001101001110110…
…1110111100011110111000111
32010222210212111222202002221200
41210203103231313203313013
5430431003043334232333
64204314041321313543
7162102064344166041
oct14443235567436707
92128725458662850
10442231003430343
111189aa12a552856
12417233b83358b3
1315c9b2878cc4aa
147b2c1480a0a91
15361d69b033c13
hex19234edde3dc7

442231003430343 has 24 divisors (see below), whose sum is σ = 676502969220000. Its totient is φ = 277416873644544.

The previous prime is 442231003430291. The next prime is 442231003430369. The reversal of 442231003430343 is 343034300132244.

442231003430343 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 310 + 0 + 34 + 303 + 4 + 3 = 666.

It is not a de Polignac number, because 442231003430343 - 28 = 442231003430087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442231003430298 and 442231003430307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442231003430383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319113718 + ... + 320496531.

It is an arithmetic number, because the mean of its divisors is an integer number (28187623717500).

Almost surely, 2442231003430343 is an apocalyptic number.

442231003430343 is a deficient number, since it is larger than the sum of its proper divisors (234271965789657).

442231003430343 is a wasteful number, since it uses less digits than its factorization.

442231003430343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639614791 (or 639614788 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 442231003430343 its reverse (343034300132244), we get a palindrome (785265303562587).

The spelling of 442231003430343 in words is "four hundred forty-two trillion, two hundred thirty-one billion, three million, four hundred thirty thousand, three hundred forty-three".

Divisors: 1 3 9 17 51 153 4519 13557 40671 76823 230469 691407 639610249 1918830747 5756492241 10873374233 32620122699 97860368097 2890398715231 8671196145693 26013588437079 49136778158927 147410334476781 442231003430343