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4440044400000 = 2735511379091
BaseRepresentation
bin100000010011100011101…
…0001001110110110000000
3120201110112022212100202220
41000213013101032312000
51040221202331300000
613235421144411040
7635532303460026
oct100470721166600
916643468770686
104440044400000
111462015348420
125b8615a76a80
13262904763801
14114c8394a716
157a76820b1a0
hex409c744ed80

4440044400000 has 768 divisors, whose sum is σ = 16517970282240. Its totient is φ = 1047168000000.

The previous prime is 4440044399993. The next prime is 4440044400061. The reversal of 4440044400000 is 44400444.

It is a super-3 number, since 3×44400444000003 (a number of 39 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488395455 + ... + 488404545.

It is an arithmetic number, because the mean of its divisors is an integer number (21507773805).

Almost surely, 24440044400000 is an apocalyptic number.

4440044400000 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 4440044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258985141120).

4440044400000 is an abundant number, since it is smaller than the sum of its proper divisors (12077925882240).

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

4440044400000 is an equidigital number, since it uses as much as digits as its factorization.

4440044400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4440044400000 its reverse (44400444), we get a palindrome (4440088800444).

4440044400000 divided by its reverse (44400444) gives a 5-th power (100000 = 105).

The spelling of 4440044400000 in words is "four trillion, four hundred forty billion, forty-four million, four hundred thousand".