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9313194240 = 283357137281
BaseRepresentation
bin10001010110001110…
…00001000100000000
3220001001102021202000
420223013001010000
5123033134203430
64140050024000
7446534562540
oct105307010400
926031367660
109313194240
113a4a067749
12197ab78000
13b5561a82c
14644c61320
15397944e60
hex22b1c1100

9313194240 has 576 divisors, whose sum is σ = 38181265920. Its totient is φ = 2105671680.

The previous prime is 9313194227. The next prime is 9313194257. The reversal of 9313194240 is 424913139.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 9313194195 and 9313194204.

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, 33142900 + ... + 33143180.

It is an arithmetic number, because the mean of its divisors is an integer number (66286920).

Almost surely, 29313194240 is an apocalyptic number.

9313194240 is a gapful number since it is divisible by the number (90) 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 9313194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19090632960).

9313194240 is an abundant number, since it is smaller than the sum of its proper divisors (28868071680).

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

9313194240 is a wasteful number, since it uses less digits than its factorization.

9313194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9313194240 is about 96504.8923112191. The cubic root of 9313194240 is about 2103.9377544752.

The spelling of 9313194240 in words is "nine billion, three hundred thirteen million, one hundred ninety-four thousand, two hundred forty".