Base | Representation |
---|---|
bin | 111111110111101… |
… | …1001110101000000 |
3 | 12112100200102210000 |
4 | 1333233121311000 |
5 | 13342120223432 |
6 | 552354440000 |
7 | 104052221100 |
oct | 17757316500 |
9 | 5470612700 |
10 | 2143132992 |
11 | 9aa8195a0 |
12 | 4b9893000 |
13 | 282010740 |
14 | 1648b7200 |
15 | c823757c |
hex | 7fbd9d40 |
2143132992 has 840 divisors, whose sum is σ = 8829263520. Its totient is φ = 505128960.
The previous prime is 2143132921. The next prime is 2143133081. The reversal of 2143132992 is 2992313412.
2143132992 is a `hidden beast` number, since 214 + 31 + 329 + 92 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36324259 + ... + 36324317.
It is an arithmetic number, because the mean of its divisors is an integer number (10511028).
Almost surely, 22143132992 is an apocalyptic number.
2143132992 is a gapful number since it is divisible by the number (22) 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 2143132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414631760).
2143132992 is an abundant number, since it is smaller than the sum of its proper divisors (6686130528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2143132992 is a wasteful number, since it uses less digits than its factorization.
2143132992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 95 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
The square root of 2143132992 is about 46293.9844040238. The cubic root of 2143132992 is about 1289.2873077884.
The spelling of 2143132992 in words is "two billion, one hundred forty-three million, one hundred thirty-two thousand, nine hundred ninety-two".
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