| Base | Representation |
|---|---|
| bin | 110001111001010001000… |
| … | …001011000100000000000 |
| 3 | 110010210012000021110200000 |
| 4 | 301321101001120200000 |
| 5 | 422134031231003300 |
| 6 | 11143050510400000 |
| 7 | 502501311330015 |
| oct | 61712101304000 |
| 9 | 13123160243600 |
| 10 | 3428743219200 |
| 11 | 1102138184092 |
| 12 | 47461b200000 |
| 13 | 1bb43804b250 |
| 14 | bbd4863370c |
| 15 | 5e2c9761c00 |
| hex | 31e51058800 |
3428743219200 has 3456 divisors, whose sum is σ = 15370622467200. Its totient is φ = 749123665920.
The previous prime is 3428743219159. The next prime is 3428743219241. The reversal of 3428743219200 is 29123478243.
3428743219200 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 7 + 432 + 1 + 9 + 200 = 666.
It is an interprime number because it is at equal distance from previous prime (3428743219159) and next prime (3428743219241).
It is a tau number, because it is divible by the number of its divisors (3456).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79738214379 + ... + 79738214421.
It is an arithmetic number, because the mean of its divisors is an integer number (4447518075).
Almost surely, 23428743219200 is an apocalyptic number.
3428743219200 is a gapful number since it is divisible by the number (30) 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 3428743219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685311233600).
3428743219200 is an abundant number, since it is smaller than the sum of its proper divisors (11941879248000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3428743219200 is a wasteful number, since it uses less digits than its factorization.
3428743219200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 3428743219200 in words is "three trillion, four hundred twenty-eight billion, seven hundred forty-three million, two hundred nineteen thousand, two hundred".
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