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14333875920 = 24325721331253
BaseRepresentation
bin11010101100101110…
…11001011011010000
31100222221201100020100
431112113121123100
5213323433012140
610330200412400
71015130635500
oct152627313320
940887640210
1014333875920
116096110151
122940477100
13147583abb0
1499d987a00
1558d5d4530
hex3565d96d0

14333875920 has 360 divisors, whose sum is σ = 60306593256. Its totient is φ = 3024193536.

The previous prime is 14333875909. The next prime is 14333875921. The reversal of 14333875920 is 2957833341.

It can be written as a sum of positive squares in 4 ways, for example, as 484352064 + 13849523856 = 22008^2 + 117684^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14333875921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443014 + ... + 474266.

Almost surely, 214333875920 is an apocalyptic number.

14333875920 is a gapful number since it is divisible by the number (10) 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 14333875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30153296628).

14333875920 is an abundant number, since it is smaller than the sum of its proper divisors (45972717336).

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

14333875920 is a wasteful number, since it uses less digits than its factorization.

14333875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31299 (or 31283 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 14333875920 in words is "fourteen billion, three hundred thirty-three million, eight hundred seventy-five thousand, nine hundred twenty".