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44244142443000 = 233253103316915061
BaseRepresentation
bin10100000111101011001000…
…11001001100100111111000
312210122200212100200211202100
422003311210121030213320
521244344000431134000
6234033251202103400
712214351044425013
oct1203654431144770
9183580770624670
1044244142443000
1113108920a6a695
124b6698994ab60
131b8c287a3a606
14acd5dc2da37a
1551ad59643a00
hex283d6464c9f8

44244142443000 has 384 divisors, whose sum is σ = 151054773667200. Its totient is φ = 11679427584000.

The previous prime is 44244142442959. The next prime is 44244142443013. The reversal of 44244142443000 is 34424144244.

It is a happy number.

44244142443000 is a `hidden beast` number, since 4 + 42 + 44 + 142 + 4 + 430 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2937655470 + ... + 2937670530.

It is an arithmetic number, because the mean of its divisors is an integer number (393371806425).

Almost surely, 244244142443000 is an apocalyptic number.

44244142443000 is a gapful number since it is divisible by the number (40) 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 44244142443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75527386833600).

44244142443000 is an abundant number, since it is smaller than the sum of its proper divisors (106810631224200).

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

44244142443000 is a wasteful number, since it uses less digits than its factorization.

44244142443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18360 (or 18343 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 44244142443000 its reverse (34424144244), we get a palindrome (44278566587244).

The spelling of 44244142443000 in words is "forty-four trillion, two hundred forty-four billion, one hundred forty-two million, four hundred forty-three thousand".