Base | Representation |
---|---|
bin | 10001001011000… |
… | …10111001100000 |
3 | 101001002000011120 |
4 | 20211202321200 |
5 | 243334410000 |
6 | 22143412240 |
7 | 3366330000 |
oct | 1045427140 |
9 | 331060146 |
10 | 144060000 |
11 | 74355457 |
12 | 402b4080 |
13 | 23acc306 |
14 | 151c0000 |
15 | c9a96a0 |
hex | 8962e60 |
144060000 has 300 divisors, whose sum is σ = 551270412. Its totient is φ = 32928000.
The previous prime is 144059999. The next prime is 144060001. The reversal of 144060000 is 60441.
It is an interprime number because it is at equal distance from previous prime (144059999) and next prime (144060001).
It is a tau number, because it is divible by the number of its divisors (300).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a zygodrome in base 7.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144060001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 20579997 + ... + 20580003.
Almost surely, 2144060000 is an apocalyptic number.
144060000 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 144060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275635206).
144060000 is an abundant number, since it is smaller than the sum of its proper divisors (407210412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144060000 is an frugal number, since it uses more digits than its factorization.
144060000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 144060000 is about 12002.4997396376. The cubic root of 144060000 is about 524.2210671053.
Multiplying 144060000 by its product of nonzero digits (96), we get a square (13829760000 = 1176002).
144060000 divided by its product of nonzero digits (96) gives a 4-th power (1500625 = 354).
The spelling of 144060000 in words is "one hundred forty-four million, sixty thousand".
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