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443423041410000 = 24354232156329803
BaseRepresentation
bin110010011010010100111100…
…0110111100101001111010000
32011011000211101011111200022210
41210310221320313211033100
5431110020342100110000
64211025422200232120
7162254154222633561
oct14464517067451720
92134024334450283
10443423041410000
11119319723952143
124189643346b640
13160567c87b1152
147b6db0adaa168
15363e6b6c27350
hex1934a78de53d0

443423041410000 has 400 divisors, whose sum is σ = 1493784121268736. Its totient is φ = 113095967424000.

The previous prime is 443423041409879. The next prime is 443423041410043. The reversal of 443423041410000 is 14140324344.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 443423041410000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14878455099 + ... + 14878484901.

Almost surely, 2443423041410000 is an apocalyptic number.

443423041410000 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 443423041410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746892060634368).

443423041410000 is an abundant number, since it is smaller than the sum of its proper divisors (1050361079858736).

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

443423041410000 is a wasteful number, since it uses less digits than its factorization.

443423041410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51420 (or 51399 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 443423041410000 its reverse (14140324344), we get a palindrome (443437181734344).

The spelling of 443423041410000 in words is "four hundred forty-three trillion, four hundred twenty-three billion, forty-one million, four hundred ten thousand".