| Base | Representation |
|---|---|
| bin | 100111101100000… |
| … | …0101000010010000 |
| 3 | 10102210211222122000 |
| 4 | 1033120011002100 |
| 5 | 10211404242034 |
| 6 | 340051114000 |
| 7 | 45000236460 |
| oct | 11730050220 |
| 9 | 3383758560 |
| 10 | 1331712144 |
| 11 | 623798054 |
| 12 | 311ba2900 |
| 13 | 182b8c369 |
| 14 | c8c17ba0 |
| 15 | 7bda6599 |
| hex | 4f605090 |
1331712144 has 320 divisors, whose sum is σ = 4679700480. Its totient is φ = 354309120.
The previous prime is 1331712133. The next prime is 1331712149. The reversal of 1331712144 is 4412171331.
It is a super-3 number, since 3×13317121443 (a number of 28 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1331712149) 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 63 ways as a sum of consecutive naturals, for example, 2851399 + ... + 2851865.
It is an arithmetic number, because the mean of its divisors is an integer number (14624064).
Almost surely, 21331712144 is an apocalyptic number.
1331712144 is a gapful number since it is divisible by the number (14) 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 1331712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).
1331712144 is an abundant number, since it is smaller than the sum of its proper divisors (3347988336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331712144 is a wasteful number, since it uses less digits than its factorization.
1331712144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 555 (or 543 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 1331712144 is about 36492.6313657977. The cubic root of 1331712144 is about 1100.1961479417.
Adding to 1331712144 its reverse (4412171331), we get a palindrome (5743883475).
The spelling of 1331712144 in words is "one billion, three hundred thirty-one million, seven hundred twelve thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •