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14329228680 = 233251314920549
BaseRepresentation
bin11010101100001011…
…01010110110001000
31100222121222020102100
431112011222312020
5213321240304210
610325513033400
71015043301624
oct152605526610
940877866370
1014329228680
116093526658
12293a9b5860
1314748a1850
1499d0d8184
1558ceb75c0
hex35616ad88

14329228680 has 192 divisors, whose sum is σ = 50491350000. Its totient is φ = 3503351808.

The previous prime is 14329228633. The next prime is 14329228721. The reversal of 14329228680 is 8682292341.

14329228680 is a `hidden beast` number, since 1 + 4 + 3 + 292 + 286 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4891883364 + 9437345316 = 69942^2 + 97146^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687046 + ... + 707594.

Almost surely, 214329228680 is an apocalyptic number.

14329228680 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 14329228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25245675000).

14329228680 is an abundant number, since it is smaller than the sum of its proper divisors (36162121320).

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

14329228680 is a wasteful number, since it uses less digits than its factorization.

14329228680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20728 (or 20721 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14329228680 in words is "fourteen billion, three hundred twenty-nine million, two hundred twenty-eight thousand, six hundred eighty".