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444442201020 = 223354357133521
BaseRepresentation
bin1100111011110101101…
…00011100101110111100
31120111011221102002201000
412131322310130232330
524240204200413040
6540101322450300
744052456243126
oct6357264345674
91514157362630
10444442201020
1116153a043854
1272176963990
1332babb0b1cc
1417722712216
15b8633a3130
hex677ad1cbbc

444442201020 has 192 divisors, whose sum is σ = 1417385249280. Its totient is φ = 115555507200.

The previous prime is 444442200971. The next prime is 444442201043. The reversal of 444442201020 is 20102244444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13241860 + ... + 13275380.

It is an arithmetic number, because the mean of its divisors is an integer number (7382214840).

Almost surely, 2444442201020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444442201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708692624640).

444442201020 is an abundant number, since it is smaller than the sum of its proper divisors (972943048260).

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

444442201020 is a wasteful number, since it uses less digits than its factorization.

444442201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34153 (or 34145 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444442201020 its reverse (20102244444), we get a palindrome (464544445464).

The spelling of 444442201020 in words is "four hundred forty-four billion, four hundred forty-two million, two hundred one thousand, twenty".