Base | Representation |
---|---|
bin | 11100000100101000… |
… | …100100100100000000 |
3 | 2212210200110102211100 |
4 | 130010220210210000 |
5 | 443212440443311 |
6 | 21503002414400 |
7 | 2114650103544 |
oct | 340450444400 |
9 | 85720412740 |
10 | 30142515456 |
11 | 11868733aa9 |
12 | 5a12801400 |
13 | 2ac4a73381 |
14 | 165d345a24 |
15 | bb63caa56 |
hex | 704a24900 |
30142515456 has 81 divisors (see below), whose sum is σ = 86932337401. Its totient is φ = 10044727296.
The previous prime is 30142515421. The next prime is 30142515463. The reversal of 30142515456 is 65451524103.
The square root of 30142515456 is 173616.
It is a perfect power (a square), and thus also a powerful number.
30142515456 is a `hidden beast` number, since 30 + 1 + 425 + 154 + 56 = 666.
It can be written as a sum of positive squares in only one way, i.e., 149817600 + 29992697856 = 12240^2 + 173184^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 30142515456.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8331760 + ... + 8335376.
Almost surely, 230142515456 is an apocalyptic number.
30142515456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
30142515456 is the 173616-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30142515456
30142515456 is an abundant number, since it is smaller than the sum of its proper divisors (56789821945).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30142515456 is an frugal number, since it uses more digits than its factorization.
30142515456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7256 (or 3622 counting only the distinct ones).
The product of its (nonzero) digits is 72000, while the sum is 36.
Multiplying 30142515456 by its sum of digits (36), we get a square (1085130556416 = 10416962).
30142515456 divided by its sum of digits (36) gives a square (837292096 = 289362).
The spelling of 30142515456 in words is "thirty billion, one hundred forty-two million, five hundred fifteen thousand, four hundred fifty-six".
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