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443244442344 = 233111678956221
BaseRepresentation
bin1100111001100110110…
…11010111001011101000
31120101002110121122200120
412130303123113023220
524230231034123334
6535342414403240
744011003411254
oct6346333271350
91511073548616
10443244442344
11160a84a28a50
1271aa1800520
1332a4a91cc72
141764b607264
15b7e315b949
hex67336d72e8

443244442344 has 32 divisors (see below), whose sum is σ = 1208848479840. Its totient is φ = 134316497600.

The previous prime is 443244442343. The next prime is 443244442379.

443244442344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 443244442296 and 443244442305.

It is not an unprimeable number, because it can be changed into a prime (443244442343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839477847 + ... + 839478374.

It is an arithmetic number, because the mean of its divisors is an integer number (37776514995).

Almost surely, 2443244442344 is an apocalyptic number.

443244442344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443244442344 is an abundant number, since it is smaller than the sum of its proper divisors (765604037496).

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

443244442344 is a wasteful number, since it uses less digits than its factorization.

443244442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678956241 (or 1678956237 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 443244 and 442344, that added together give a palindrome (885588).

The spelling of 443244442344 in words is "four hundred forty-three billion, two hundred forty-four million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1678956221 3357912442 5036868663 6715824884 10073737326 13431649768 18468518431 20147474652 36937036862 40294949304 55405555293 73874073724 110811110586 147748147448 221622221172 443244442344