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4441040230200 = 23352717611019663
BaseRepresentation
bin100000010100000001010…
…1000000001011100111000
3120201120002201200202222220
41000220002220001130320
51040230222244331300
613240104040444040
7635566055053050
oct100500250013470
916646081622886
104441040230200
111462486483392
125b8853479620
13262a32b70a52
14114d39cd0560
157a7c5866da0
hex40a02a01738

4441040230200 has 384 divisors, whose sum is σ = 16932621957120. Its totient is φ = 939720499200.

The previous prime is 4441040230199. The next prime is 4441040230301. The reversal of 4441040230200 is 20320401444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3845569 + ... + 4865231.

It is an arithmetic number, because the mean of its divisors is an integer number (44095369680).

Almost surely, 24441040230200 is an apocalyptic number.

4441040230200 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 4441040230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466310978560).

4441040230200 is an abundant number, since it is smaller than the sum of its proper divisors (12491581726920).

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

4441040230200 is a wasteful number, since it uses less digits than its factorization.

4441040230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019767 (or 1019758 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4441040230200 its reverse (20320401444), we get a palindrome (4461360631644).

The spelling of 4441040230200 in words is "four trillion, four hundred forty-one billion, forty million, two hundred thirty thousand, two hundred".