Base | Representation |
---|---|
bin | 10001001011110… |
… | …10100110001100 |
3 | 101001020221022200 |
4 | 20211322212030 |
5 | 243401011233 |
6 | 22145441500 |
7 | 3400212666 |
oct | 1045724614 |
9 | 331227280 |
10 | 144157068 |
11 | 74411380 |
12 | 40340290 |
13 | 23b34553 |
14 | 15207536 |
15 | c9c8313 |
hex | 897a98c |
144157068 has 72 divisors (see below), whose sum is σ = 410382336. Its totient is φ = 42271200.
The previous prime is 144157063. The next prime is 144157129. The reversal of 144157068 is 860751441.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (144157063) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 6405 + ... + 18147.
Almost surely, 2144157068 is an apocalyptic number.
144157068 is a gapful number since it is divisible by the number (18) 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 144157068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191168).
144157068 is an abundant number, since it is smaller than the sum of its proper divisors (266225268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144157068 is a wasteful number, since it uses less digits than its factorization.
144157068 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11795 (or 11790 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 144157068 is about 12006.5427163693. The cubic root of 144157068 is about 524.3387811735.
The spelling of 144157068 in words is "one hundred forty-four million, one hundred fifty-seven thousand, sixty-eight".
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