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4441341321144 = 233271317192098639
BaseRepresentation
bin100000010100001010010…
…0100100101111110111000
3120201120212201020210010100
41000220110210211332320
51040231331334234034
613240153554115400
7635606402225160
oct100502444457670
916646781223110
104441341321144
111462620432482
125b891827bb60
13262a80361280
14114d67ca95a0
157a7e1ede099
hex40a14925fb8

4441341321144 has 384 divisors, whose sum is σ = 16500347136000. Its totient is φ = 1044416581632.

The previous prime is 4441341321143. The next prime is 4441341321149. The reversal of 4441341321144 is 4411231431444.

4441341321144 is a `hidden beast` number, since 4 + 441 + 3 + 41 + 32 + 1 + 144 = 666.

It is a super-2 number, since 2×44413413211442 (a number of 26 digits) contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4441341321099 and 4441341321108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441341321143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066977 + ... + 3165615.

It is an arithmetic number, because the mean of its divisors is an integer number (42969654000).

Almost surely, 24441341321144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441341321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250173568000).

4441341321144 is an abundant number, since it is smaller than the sum of its proper divisors (12059005814856).

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

4441341321144 is a wasteful number, since it uses less digits than its factorization.

4441341321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098707 (or 2098700 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 4441341321144 its reverse (4411231431444), we get a palindrome (8852572752588).

The spelling of 4441341321144 in words is "four trillion, four hundred forty-one billion, three hundred forty-one million, three hundred twenty-one thousand, one hundred forty-four".