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9440848840416 = 253737678368279
BaseRepresentation
bin1000100101100001111001…
…1100010000011011100000
31020102112110222200021222120
42021120132130100123200
52214134324300343131
632025022135104240
71663036015041420
oct211303634203340
936375428607876
109440848840416
11300a929058974
121085849212080
135363643a3b06
14248d22096480
151158a1380496
hex8961e7106e0

9440848840416 has 384 divisors, whose sum is σ = 29878296698880. Its totient is φ = 2554125944832.

The previous prime is 9440848840403. The next prime is 9440848840421. The reversal of 9440848840416 is 6140488480449.

It is a super-3 number, since 3×94408488404163 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9440848840416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138234565 + ... + 138302843.

It is an arithmetic number, because the mean of its divisors is an integer number (77808064320).

Almost surely, 29440848840416 is an apocalyptic number.

9440848840416 is a gapful number since it is divisible by the number (96) 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 9440848840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939148349440).

9440848840416 is an abundant number, since it is smaller than the sum of its proper divisors (20437447858464).

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

9440848840416 is a wasteful number, since it uses less digits than its factorization.

9440848840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68486 (or 68478 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 9440848840416 in words is "nine trillion, four hundred forty billion, eight hundred forty-eight million, eight hundred forty thousand, four hundred sixteen".