Base | Representation |
---|---|
bin | 10001001011101… |
… | …00001111100000 |
3 | 101001012121121200 |
4 | 20211310033200 |
5 | 243344143130 |
6 | 22145121200 |
7 | 3400044054 |
oct | 1045641740 |
9 | 331177550 |
10 | 144131040 |
11 | 743a3869 |
12 | 40329200 |
13 | 23b25751 |
14 | 151dbc64 |
15 | c9c0760 |
hex | 89743e0 |
144131040 has 144 divisors (see below), whose sum is σ = 497218176. Its totient is φ = 38016000.
The previous prime is 144131023. The next prime is 144131063. The reversal of 144131040 is 40131441.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 144945 + ... + 145935.
It is an arithmetic number, because the mean of its divisors is an integer number (3452904).
Almost surely, 2144131040 is an apocalyptic number.
144131040 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 144131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088).
144131040 is an abundant number, since it is smaller than the sum of its proper divisors (353087136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144131040 is a wasteful number, since it uses less digits than its factorization.
144131040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 144131040 is about 12005.4587584149. The cubic root of 144131040 is about 524.3072222833.
Adding to 144131040 its reverse (40131441), we get a palindrome (184262481).
The spelling of 144131040 in words is "one hundred forty-four million, one hundred thirty-one thousand, forty".
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