| Base | Representation |
|---|---|
| bin | 11010011111101111… |
| … | …01011000000000000 |
| 3 | 1100201100122120220000 |
| 4 | 31033313223000000 |
| 5 | 213113033133000 |
| 6 | 10311304520000 |
| 7 | 1012335423000 |
| oct | 151767530000 |
| 9 | 40640576800 |
| 10 | 14224896000 |
| 11 | 603a6459a7 |
| 12 | 290ba80000 |
| 13 | 14590a1c33 |
| 14 | 98d2da000 |
| 15 | 583c59000 |
| hex | 34fdeb000 |
14224896000 has 1040 divisors, whose sum is σ = 61845326400. Its totient is φ = 3251404800.
The previous prime is 14224895999. The next prime is 14224896001. The reversal of 14224896000 is 69842241.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
14224896000 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 48 + 9 + 600 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (14224895999) and next prime (14224896001).
It is an ABA number since it can be written as A⋅BA, here for A=3, B=1680.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (14224896001) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2032127997 + ... + 2032128003.
It is an arithmetic number, because the mean of its divisors is an integer number (59466660).
Almost surely, 214224896000 is an apocalyptic number.
14224896000 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 14224896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30922663200).
14224896000 is an abundant number, since it is smaller than the sum of its proper divisors (47620430400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14224896000 is an frugal number, since it uses more digits than its factorization.
14224896000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 14224896000 in words is "fourteen billion, two hundred twenty-four million, eight hundred ninety-six thousand".
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