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5443822240000 = 28541923072
BaseRepresentation
bin100111100110111110100…
…0101110100000100000000
3201021102110022221221110221
41033031331011310010000
51203142421443140000
615324505111232424
71101205663361614
oct117157505640400
921242408857427
105443822240000
111809791809431
1273b071078714
13306472608121
1414b6a79d7344
159691646261a
hex4f37d174100

5443822240000 has 405 divisors, whose sum is σ = 14377738968747. Its totient is φ = 2056202496000.

The previous prime is 5443822239979. The next prime is 5443822240009. The reversal of 5443822240000 is 422283445.

The square root of 5443822240000 is 2333200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 426795663616 + 5017026576384 = 653296^2 + 2239872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5443822240009) 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 44 ways as a sum of consecutive naturals, for example, 17732319847 + ... + 17732320153.

Almost surely, 25443822240000 is an apocalyptic number.

5443822240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5443822240000 is the 2333200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5443822240000

5443822240000 is an abundant number, since it is smaller than the sum of its proper divisors (8933916728747).

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

5443822240000 is an frugal number, since it uses more digits than its factorization.

5443822240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 5443822240000 in words is "five trillion, four hundred forty-three billion, eight hundred twenty-two million, two hundred forty thousand".