| Base | Representation |
|---|---|
| bin | 100010101100110101010000… |
| … | …1010101100011100100000000 |
| 3 | 1111000201121000112200101010000 |
| 4 | 1011121222201111203210000 |
| 5 | 310001332142233440000 |
| 6 | 3001100111003040000 |
| 7 | 121202025336541212 |
| oct | 10531524125434400 |
| 9 | 1430647015611100 |
| 10 | 305228852640000 |
| 11 | 89289914019703 |
| 12 | 2a297491210000 |
| 13 | 10140c5a259aa3 |
| 14 | 555322619c5b2 |
| 15 | 2544a82540000 |
| hex | 1159aa1563900 |
305228852640000 has 2025 divisors, whose sum is σ = 1194566855320839. Its totient is φ = 77486492160000.
The previous prime is 305228852639957. The next prime is 305228852640031. The reversal of 305228852640000 is 46258822503.
The square root of 305228852640000 is 17470800.
It is a perfect power (a square), and thus also a powerful number.
305228852640000 is a `hidden beast` number, since 3 + 0 + 5 + 2 + 2 + 88 + 526 + 40 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 23929942046976 + 281298910593024 = 4891824^2 + 16771968^2 .
It is a tau number, because it is divible by the number of its divisors (2025).
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 (19) of ones.
It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1446582239895 + ... + 1446582240105.
Almost surely, 2305228852640000 is an apocalyptic number.
305228852640000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
305228852640000 is the 17470800-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 305228852640000
305228852640000 is an abundant number, since it is smaller than the sum of its proper divisors (889338002680839).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305228852640000 is an frugal number, since it uses more digits than its factorization.
305228852640000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 516 (or 244 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 45.
The spelling of 305228852640000 in words is "three hundred five trillion, two hundred twenty-eight billion, eight hundred fifty-two million, six hundred forty thousand".
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