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442213505312244 = 22336851125442687
BaseRepresentation
bin110010010001100001101101…
…0111001100010010111110100
32010222202012100111221121110120
41210203003122321202113310
5430430211224324442434
64204302025124051540
7162100604621506341
oct14443033271422764
92128665314847416
10442213505312244
111189a27702a2726
124171bb34233bb0
1315c99729662763
147b2b3681997c8
15361cec4c66349
hex19230dae625f4

442213505312244 has 12 divisors (see below), whose sum is σ = 1031831512395264. Its totient is φ = 147404501770744.

The previous prime is 442213505312191. The next prime is 442213505312287.

442213505312244 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 442213505312196 and 442213505312205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18425562721332 + ... + 18425562721355.

It is an arithmetic number, because the mean of its divisors is an integer number (85985959366272).

Almost surely, 2442213505312244 is an apocalyptic number.

It is an amenable number.

442213505312244 is an abundant number, since it is smaller than the sum of its proper divisors (589618007083020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442213505312244 is a wasteful number, since it uses less digits than its factorization.

442213505312244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36851125442694 (or 36851125442692 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 44221350 and 5312244, that added together give a palindrome (49533594).

The spelling of 442213505312244 in words is "four hundred forty-two trillion, two hundred thirteen billion, five hundred five million, three hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 36851125442687 73702250885374 110553376328061 147404501770748 221106752656122 442213505312244