| Base | Representation |
|---|---|
| bin | 11100100101100111111111… |
| … | …001101101011001000000000 |
| 3 | 121111011202022202212001100020 |
| 4 | 130211213333031223020000 |
| 5 | 112434433300003233100 |
| 6 | 1123223543123253440 |
| 7 | 35324516622460560 |
| oct | 3445477715531000 |
| 9 | 544152282761306 |
| 10 | 125730859430400 |
| 11 | 37075181396154 |
| 12 | 1212759651a280 |
| 13 | 55204a50b3753 |
| 14 | 2309598360da0 |
| 15 | e8083521e5a0 |
| hex | 7259ff36b200 |
125730859430400 has 480 divisors, whose sum is σ = 475112718875520. Its totient is φ = 28712217477120.
The previous prime is 125730859430377. The next prime is 125730859430401. The reversal of 125730859430400 is 4034958037521.
125730859430400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-3 number, since 3×1257308594304003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (125730859430401) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294660406 + ... + 295086794.
It is an arithmetic number, because the mean of its divisors is an integer number (989818164324).
Almost surely, 2125730859430400 is an apocalyptic number.
125730859430400 is a gapful number since it is divisible by the number (10) 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 125730859430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237556359437760).
125730859430400 is an abundant number, since it is smaller than the sum of its proper divisors (349381859445120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125730859430400 is a wasteful number, since it uses less digits than its factorization.
125730859430400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 427524 (or 427503 counting only the distinct ones).
The product of its (nonzero) digits is 3628800, while the sum is 51.
The spelling of 125730859430400 in words is "one hundred twenty-five trillion, seven hundred thirty billion, eight hundred fifty-nine million, four hundred thirty thousand, four hundred".
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