| Base | Representation |
|---|---|
| bin | 111011101000101011010… |
| … | …001011110000000000000 |
| 3 | 112111202222100211000101000 |
| 4 | 323220223101132000000 |
| 5 | 1014120424422100000 |
| 6 | 12414352541012000 |
| 7 | 602036232022200 |
| oct | 73505321360000 |
| 9 | 15452870730330 |
| 10 | 4098124800000 |
| 11 | 1340006680200 |
| 12 | 5622b1854000 |
| 13 | 2395b3c7877a |
| 14 | 1024c9310400 |
| 15 | 71905785000 |
| hex | 3ba2b45e000 |
4098124800000 has 3024 divisors, whose sum is σ = 19404933473520. Its totient is φ = 851558400000.
The previous prime is 4098124799999. The next prime is 4098124800017. The reversal of 4098124800000 is 84218904.
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.
4098124800000 is a `hidden beast` number, since 409 + 8 + 1 + 248 + 0 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3024).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 215 ways as a sum of consecutive naturals, for example, 372556799995 + ... + 372556800005.
It is an arithmetic number, because the mean of its divisors is an integer number (6416975355).
Almost surely, 24098124800000 is an apocalyptic number.
4098124800000 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 4098124800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702466736760).
4098124800000 is an abundant number, since it is smaller than the sum of its proper divisors (15306808673520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4098124800000 is an frugal number, since it uses more digits than its factorization.
4098124800000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The spelling of 4098124800000 in words is "four trillion, ninety-eight billion, one hundred twenty-four million, eight hundred thousand".
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