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14422408704 = 2932112389139
BaseRepresentation
bin11010110111010010…
…00111111000000000
31101020010022021101100
431123221013320000
5214014114034304
610343042134400
71020254310534
oct153351077000
941203267340
1014422408704
11613108a140
122966051400
13148ac98062
149ab631bc4
15596271439
hex35ba47e00

14422408704 has 480 divisors, whose sum is σ = 48259411200. Its totient is φ = 4103700480.

The previous prime is 14422408699. The next prime is 14422408709. The reversal of 14422408704 is 40780422441.

It is an interprime number because it is at equal distance from previous prime (14422408699) and next prime (14422408709).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422408709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103758267 + ... + 103758405.

It is an arithmetic number, because the mean of its divisors is an integer number (100540440).

Almost surely, 214422408704 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 14422408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129705600).

14422408704 is an abundant number, since it is smaller than the sum of its proper divisors (33837002496).

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

14422408704 is a wasteful number, since it uses less digits than its factorization.

14422408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 14422408704 in words is "fourteen billion, four hundred twenty-two million, four hundred eight thousand, seven hundred four".