Base | Representation |
---|---|
bin | 10001001011111… |
… | …01100000000000 |
3 | 101001021112122010 |
4 | 20211331200000 |
5 | 243401401320 |
6 | 22150012520 |
7 | 3400262445 |
oct | 1045754000 |
9 | 331245563 |
10 | 144168960 |
11 | 7441a301 |
12 | 40347140 |
13 | 23b39aa0 |
14 | 1520b9cc |
15 | c9cbae0 |
hex | 897d800 |
144168960 has 288 divisors, whose sum is σ = 524225520. Its totient is φ = 33619968.
The previous prime is 144168907. The next prime is 144169007. The reversal of 144168960 is 69861441.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587831 + ... + 7587849.
Almost surely, 2144168960 is an apocalyptic number.
144168960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262112760).
144168960 is an abundant number, since it is smaller than the sum of its proper divisors (380056560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144168960 is a wasteful number, since it uses less digits than its factorization.
144168960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81 (or 42 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 39.
The square root of 144168960 is about 12007.0379361440. The cubic root of 144168960 is about 524.3531989319.
The spelling of 144168960 in words is "one hundred forty-four million, one hundred sixty-eight thousand, nine hundred sixty".
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