| Base | Representation |
|---|---|
| bin | 101011110101011101110101… |
| … | …1110100100000001001000000 |
| 3 | 1212120020010021120122201110000 |
| 4 | 1113222323223310200021000 |
| 5 | 401014322024203040000 |
| 6 | 3444021100113240000 |
| 7 | 144134155346662632 |
| oct | 12752735364401100 |
| 9 | 1776203246581400 |
| 10 | 385580350440000 |
| 11 | 101948787845431 |
| 12 | 372b407b263000 |
| 13 | 1371c0c008c3c1 |
| 14 | 6b3028d4b4a52 |
| 15 | 2e89c6a740000 |
| hex | 15eaeebd20240 |
385580350440000 has 525 divisors, whose sum is σ = 1428399932969757. Its totient is φ = 102812001408000.
The previous prime is 385580350439939. The next prime is 385580350440001. The reversal of 385580350440000 is 44053085583.
The square root of 385580350440000 is 19636200.
It is a perfect power (a square), and thus also a powerful number.
385580350440000 is a `hidden beast` number, since 3 + 8 + 558 + 0 + 3 + 50 + 4 + 40 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 7 ways, for example, as 366790830382656 + 18789520057344 = 19151784^2 + 4334688^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (385580350440001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 35345154546 + ... + 35345165454.
Almost surely, 2385580350440000 is an apocalyptic number.
385580350440000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
385580350440000 is the 19636200-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 385580350440000
385580350440000 is an abundant number, since it is smaller than the sum of its proper divisors (1042819582529757).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
385580350440000 is an frugal number, since it uses more digits than its factorization.
385580350440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21862 (or 10919 counting only the distinct ones).
The product of its (nonzero) digits is 1152000, while the sum is 45.
The spelling of 385580350440000 in words is "three hundred eighty-five trillion, five hundred eighty billion, three hundred fifty million, four hundred forty thousand".
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