Base | Representation |
---|---|
bin | 10001001011100… |
… | …00010111000000 |
3 | 101001011210210122 |
4 | 20211300113000 |
5 | 243343141021 |
6 | 22144515412 |
7 | 3366646514 |
oct | 1045602700 |
9 | 331153718 |
10 | 144115136 |
11 | 74392920 |
12 | 4031bb68 |
13 | 23b1b439 |
14 | 151d6144 |
15 | c9babab |
hex | 89705c0 |
144115136 has 56 divisors (see below), whose sum is σ = 313547760. Its totient is φ = 65177600.
The previous prime is 144115121. The next prime is 144115151. The reversal of 144115136 is 631511441.
It is an interprime number because it is at equal distance from previous prime (144115121) and next prime (144115151).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188996 + ... + 189756.
Almost surely, 2144115136 is an apocalyptic number.
144115136 is a gapful number since it is divisible by the number (16) 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 144115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156773880).
144115136 is an abundant number, since it is smaller than the sum of its proper divisors (169432624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144115136 is a wasteful number, since it uses less digits than its factorization.
144115136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).
The product of its digits is 1440, while the sum is 26.
The square root of 144115136 is about 12004.7963747829. The cubic root of 144115136 is about 524.2879368497.
Adding to 144115136 its reverse (631511441), we get a palindrome (775626577).
The spelling of 144115136 in words is "one hundred forty-four million, one hundred fifteen thousand, one hundred thirty-six".
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