Base | Representation |
---|---|
bin | 1000100000100111100… |
… | …0000100011101000100 |
3 | 111222100112220012210211 |
4 | 2020021320010131010 |
5 | 4343401303100231 |
6 | 151054425125204 |
7 | 13363560303100 |
oct | 2101170043504 |
9 | 458315805724 |
10 | 146194581316 |
11 | 57001036833 |
12 | 24400329804 |
13 | 10a2b068824 |
14 | 710c20c900 |
15 | 3c09992eb1 |
hex | 2209e04744 |
146194581316 has 81 divisors (see below), whose sum is σ = 307869875901. Its totient is φ = 60564873600.
The previous prime is 146194581287. The next prime is 146194581343. The reversal of 146194581316 is 613185491641.
The square root of 146194581316 is 382354.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 25646741316 + 120547840000 = 160146^2 + 347200^2 .
It is a super-3 number, since 3×1461945813163 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is a self number, because there is not a number n which added to its sum of digits gives 146194581316.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165941196 + ... + 165942076.
Almost surely, 2146194581316 is an apocalyptic number.
146194581316 is the 382354-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 146194581316
146194581316 is an abundant number, since it is smaller than the sum of its proper divisors (161675294585).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146194581316 is an frugal number, since it uses more digits than its factorization.
146194581316 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1842 (or 921 counting only the distinct ones).
The product of its digits is 622080, while the sum is 49.
Multiplying 146194581316 by its sum of digits (49), we get a square (7163534484484 = 26764782).
146194581316 divided by its sum of digits (49) gives a square (2983562884 = 546222).
The spelling of 146194581316 in words is "one hundred forty-six billion, one hundred ninety-four million, five hundred eighty-one thousand, three hundred sixteen".
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