Base | Representation |
---|---|
bin | 10001001110000… |
… | …11110110110100 |
3 | 101001211011221110 |
4 | 20213003312310 |
5 | 243440112030 |
6 | 22200115020 |
7 | 3402602562 |
oct | 1047036664 |
9 | 331734843 |
10 | 144457140 |
11 | 745a6873 |
12 | 40465a70 |
13 | 23c0acc9 |
14 | 15284a32 |
15 | ca371b0 |
hex | 89c3db4 |
144457140 has 48 divisors (see below), whose sum is σ = 407413440. Its totient is φ = 38242560.
The previous prime is 144457129. The next prime is 144457147. The reversal of 144457140 is 41754441.
144457140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 144457098 and 144457107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144457147) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321 + ... + 17000.
It is an arithmetic number, because the mean of its divisors is an integer number (8487780).
Almost surely, 2144457140 is an apocalyptic number.
144457140 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 144457140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203706720).
144457140 is an abundant number, since it is smaller than the sum of its proper divisors (262956300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144457140 is a wasteful number, since it uses less digits than its factorization.
144457140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17472 (or 17470 counting only the distinct ones).
The product of its (nonzero) digits is 8960, while the sum is 30.
The square root of 144457140 is about 12019.0324069785. The cubic root of 144457140 is about 524.7023437431.
The spelling of 144457140 in words is "one hundred forty-four million, four hundred fifty-seven thousand, one hundred forty".
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