| Base | Representation |
|---|---|
| bin | 1111101010000… |
| … | …10100000100000 |
| 3 | 100011010222200000 |
| 4 | 13311002200200 |
| 5 | 232111010131 |
| 6 | 21011100000 |
| 7 | 3153260220 |
| oct | 765024040 |
| 9 | 304128600 |
| 10 | 131344416 |
| 11 | 68160005 |
| 12 | 37ba1600 |
| 13 | 212996b8 |
| 14 | 13630080 |
| 15 | b7e6ce6 |
| hex | 7d42820 |
131344416 has 288 divisors, whose sum is σ = 469647360. Its totient is φ = 35271936.
The previous prime is 131344379. The next prime is 131344417. The reversal of 131344416 is 614443131.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1313444162 = 34502711228762112, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 131344416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131344417) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034145 + ... + 1034271.
It is an arithmetic number, because the mean of its divisors is an integer number (1630720).
Almost surely, 2131344416 is an apocalyptic number.
131344416 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 131344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).
131344416 is an abundant number, since it is smaller than the sum of its proper divisors (338302944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131344416 is a wasteful number, since it uses less digits than its factorization.
131344416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178 (or 158 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 131344416 is about 11460.5591486629. The cubic root of 131344416 is about 508.3200083461.
Adding to 131344416 its reverse (614443131), we get a palindrome (745787547).
The spelling of 131344416 in words is "one hundred thirty-one million, three hundred forty-four thousand, four hundred sixteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •