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9941077386240 = 21035711133591801
BaseRepresentation
bin1001000010101001011001…
…1000101110010000000000
31022012100122202221100011020
42100222112120232100000
52300333311302324430
633050511244545440
72044135110366330
oct220522630562000
938170582840136
109941077386240
113192a95026210
121146792852280
13571593991cb0
142652177ad0c0
151238cc0aab10
hex90a9662e400

9941077386240 has 1408 divisors, whose sum is σ = 42833704919040. Its totient is φ = 1900412928000.

The previous prime is 9941077386239. The next prime is 9941077386259. The reversal of 9941077386240 is 426837701499.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5519753340 + ... + 5519755140.

Almost surely, 29941077386240 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 9941077386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21416852459520).

9941077386240 is an abundant number, since it is smaller than the sum of its proper divisors (32892627532800).

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

9941077386240 is a wasteful number, since it uses less digits than its factorization.

9941077386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 9941077386240 in words is "nine trillion, nine hundred forty-one billion, seventy-seven million, three hundred eighty-six thousand, two hundred forty".