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4444303134012 = 22372335910336203
BaseRepresentation
bin100000010101100010100…
…0111000000110100111100
3120201212112010102110120020
41000223011013000310330
51040303413100242022
613241403520052140
7636042655223130
oct100530507006474
916655463373506
104444303134012
111463900290305
125b9404164050
13263132b65171
141151693b13c0
157a91703d35c
hex40ac51c0d3c

4444303134012 has 192 divisors, whose sum is σ = 12415210536960. Its totient is φ = 1209841307136.

The previous prime is 4444303134001. The next prime is 4444303134013. The reversal of 4444303134012 is 2104313034444.

It is a super-2 number, since 2×44443031340122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444303134013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716473303 + ... + 716479505.

It is an arithmetic number, because the mean of its divisors is an integer number (64662554880).

Almost surely, 24444303134012 is an apocalyptic number.

4444303134012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444303134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207605268480).

4444303134012 is an abundant number, since it is smaller than the sum of its proper divisors (7970907402948).

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

4444303134012 is a wasteful number, since it uses less digits than its factorization.

4444303134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4444303134012 its reverse (2104313034444), we get a palindrome (6548616168456).

The spelling of 4444303134012 in words is "four trillion, four hundred forty-four billion, three hundred three million, one hundred thirty-four thousand, twelve".