Base | Representation |
---|---|
bin | 1100011100001010111… |
… | …00000110101000000000 |
3 | 1111212022001201011100000 |
4 | 12032011130012220000 |
5 | 24000344231433300 |
6 | 524210301200000 |
7 | 42611242203261 |
oct | 6160534065000 |
9 | 1455261634300 |
10 | 427440499200 |
11 | 155305022610 |
12 | 6aa10b60000 |
13 | 313cc670310 |
14 | 1698c70c968 |
15 | b1ba991c00 |
hex | 6385706a00 |
427440499200 has 2160 divisors, whose sum is σ = 1925738182368. Its totient is φ = 92565504000.
The previous prime is 427440499159. The next prime is 427440499217. The reversal of 427440499200 is 2994044724.
It is a tau number, because it is divible by the number of its divisors (2160).
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 215 ways as a sum of consecutive naturals, for example, 13788403185 + ... + 13788403215.
Almost surely, 2427440499200 is an apocalyptic number.
427440499200 is a gapful number since it is divisible by the number (40) 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 427440499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962869091184).
427440499200 is an abundant number, since it is smaller than the sum of its proper divisors (1498297683168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427440499200 is a wasteful number, since it uses less digits than its factorization.
427440499200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 129 (or 65 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 427440499200 in words is "four hundred twenty-seven billion, four hundred forty million, four hundred ninety-nine thousand, two hundred".
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