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44131141320 = 23357233463487
BaseRepresentation
bin101001000110011010…
…111100011011001000
311012220120112021000120
4221012122330123020
51210340033010240
632135031303240
73121416340410
oct510632743310
9135816467016
1044131141320
1117796973722
12867751ab20
134213bcc096
1421c90db640
151234513ad0
hexa466bc6c8

44131141320 has 256 divisors, whose sum is σ = 152597053440. Its totient is φ = 10001553408.

The previous prime is 44131141283. The next prime is 44131141333. The reversal of 44131141320 is 2314113144.

It is a super-2 number, since 2×441311413202 (a number of 22 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 90618117 + ... + 90618603.

It is an arithmetic number, because the mean of its divisors is an integer number (596082240).

Almost surely, 244131141320 is an apocalyptic number.

44131141320 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 44131141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76298526720).

44131141320 is an abundant number, since it is smaller than the sum of its proper divisors (108465912120).

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

44131141320 is a wasteful number, since it uses less digits than its factorization.

44131141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 44131141320 its reverse (2314113144), we get a palindrome (46445254464).

The spelling of 44131141320 in words is "forty-four billion, one hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".