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44222244441144 = 23371161705755589
BaseRepresentation
bin10100000111000010010110…
…01010111100110000111000
312210120121100020202002102120
422003201023022330300320
521244014124034104034
6234015230232001240
712212644304453010
oct1203411312746070
9183517306662376
1044222244441144
11130aa60412a7a0
124b62698230220
131b8a1a807b773
14acc521d0ac40
1551a4c6e61c49
hex28384b2bcc38

44222244441144 has 256 divisors, whose sum is σ = 140117539046400. Its totient is φ = 11296193126400.

The previous prime is 44222244441121. The next prime is 44222244441169. The reversal of 44222244441144 is 44114444222244.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44222244441096 and 44222244441105.

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, 795493702 + ... + 795549290.

It is an arithmetic number, because the mean of its divisors is an integer number (547334136900).

Almost surely, 244222244441144 is an apocalyptic number.

44222244441144 is a gapful number since it is divisible by the number (44) 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 44222244441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70058769523200).

44222244441144 is an abundant number, since it is smaller than the sum of its proper divisors (95895294605256).

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

44222244441144 is a wasteful number, since it uses less digits than its factorization.

44222244441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62734 (or 62730 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

Adding to 44222244441144 its reverse (44114444222244), we get a palindrome (88336688663388).

The spelling of 44222244441144 in words is "forty-four trillion, two hundred twenty-two billion, two hundred forty-four million, four hundred forty-one thousand, one hundred forty-four".