Base | Representation |
---|---|
bin | 10001010110000… |
… | …10000000100000 |
3 | 101010210001221011 |
4 | 20223002000200 |
5 | 244221420034 |
6 | 22234310304 |
7 | 3414466561 |
oct | 1053020040 |
9 | 333701834 |
10 | 145498144 |
11 | 75147a00 |
12 | 40888394 |
13 | 241b3a9c |
14 | 15476168 |
15 | cb90864 |
hex | 8ac2020 |
145498144 has 72 divisors (see below), whose sum is σ = 321250860. Its totient is φ = 64796160.
The previous prime is 145498139. The next prime is 145498151. The reversal of 145498144 is 441894541.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 144288144 + 1210000 = 12012^2 + 1100^2 .
It is a junction number, because it is equal to n+sod(n) for n = 145498097 and 145498106.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204862 + ... + 205570.
Almost surely, 2145498144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 145498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160625430).
145498144 is an abundant number, since it is smaller than the sum of its proper divisors (175752716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145498144 is a wasteful number, since it uses less digits than its factorization.
145498144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 794 (or 775 counting only the distinct ones).
The product of its digits is 92160, while the sum is 40.
The square root of 145498144 is about 12062.2611478943. The cubic root of 145498144 is about 525.9597187560.
The spelling of 145498144 in words is "one hundred forty-five million, four hundred ninety-eight thousand, one hundred forty-four".
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