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442443311331 = 3721068729111
BaseRepresentation
bin1100111000000111010…
…11010010100011100011
31120022000122010222112120
412130003223102203203
524222110441430311
6535131115355323
743652105044320
oct6340353224343
91508018128476
10442443311331
111607037953aa
12718b9452b43
1332950962348
14175b3065b47
15b797b5e706
hex6703ad28e3

442443311331 has 8 divisors (see below), whose sum is σ = 674199331584. Its totient is φ = 252824749320.

The previous prime is 442443311281. The next prime is 442443311333. The reversal of 442443311331 is 133113344244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 442443311331 - 27 = 442443311203 is a prime.

It is a super-3 number, since 3×4424433113313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 442443311292 and 442443311301.

It is not an unprimeable number, because it can be changed into a prime (442443311333) 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 in 7 ways as a sum of consecutive naturals, for example, 10534364535 + ... + 10534364576.

It is an arithmetic number, because the mean of its divisors is an integer number (84274916448).

Almost surely, 2442443311331 is an apocalyptic number.

442443311331 is a deficient number, since it is larger than the sum of its proper divisors (231756020253).

442443311331 is a wasteful number, since it uses less digits than its factorization.

442443311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21068729121.

The product of its digits is 41472, while the sum is 33.

Adding to 442443311331 its reverse (133113344244), we get a palindrome (575556655575).

The spelling of 442443311331 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 21 21068729111 63206187333 147481103777 442443311331