| Base | Representation |
|---|---|
| bin | 110001111010100000001… |
| … | …111111000011000000000 |
| 3 | 110010220121122101212011100 |
| 4 | 301322200033320120000 |
| 5 | 422144242014413330 |
| 6 | 11143430432014400 |
| 7 | 502546251336363 |
| oct | 61724017703000 |
| 9 | 13126548355140 |
| 10 | 3430072419840 |
| 11 | 110275a506210 |
| 12 | 474930391400 |
| 13 | 1bb5ba53b3c1 |
| 14 | bc032d960da |
| 15 | 5e3562be060 |
| hex | 31ea03f8600 |
3430072419840 has 480 divisors, whose sum is σ = 13641326899200. Its totient is φ = 787766722560.
The previous prime is 3430072419817. The next prime is 3430072419853. The reversal of 3430072419840 is 489142700343.
3430072419840 is a `hidden beast` number, since 3 + 430 + 0 + 7 + 24 + 198 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4459201 + ... + 5171519.
It is an arithmetic number, because the mean of its divisors is an integer number (28419431040).
Almost surely, 23430072419840 is an apocalyptic number.
3430072419840 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 3430072419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820663449600).
3430072419840 is an abundant number, since it is smaller than the sum of its proper divisors (10211254479360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3430072419840 is a wasteful number, since it uses less digits than its factorization.
3430072419840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 712378 (or 712359 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 3430072419840 in words is "three trillion, four hundred thirty billion, seventy-two million, four hundred nineteen thousand, eight hundred forty".
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