| Base | Representation |
|---|---|
| bin | 100111101011101… |
| … | …0110111001001000 |
| 3 | 10102210111101101000 |
| 4 | 1033113112321020 |
| 5 | 10211332220034 |
| 6 | 340043055000 |
| 7 | 44665521450 |
| oct | 11727267110 |
| 9 | 3383441330 |
| 10 | 1331523144 |
| 11 | 623679056 |
| 12 | 311b11460 |
| 13 | 182b24323 |
| 14 | c8ba8d60 |
| 15 | 7bd6a599 |
| hex | 4f5d6e48 |
1331523144 has 128 divisors (see below), whose sum is σ = 4341484800. Its totient is φ = 370137600.
The previous prime is 1331523143. The next prime is 1331523157. The reversal of 1331523144 is 4413251331.
It is a happy number.
1331523144 is a `hidden beast` number, since 133 + 1 + 523 + 1 + 4 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1331523143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44044 + ... + 67844.
It is an arithmetic number, because the mean of its divisors is an integer number (33917850).
Almost surely, 21331523144 is an apocalyptic number.
1331523144 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 1331523144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170742400).
1331523144 is an abundant number, since it is smaller than the sum of its proper divisors (3009961656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331523144 is a wasteful number, since it uses less digits than its factorization.
1331523144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23860 (or 23850 counting only the distinct ones).
The product of its digits is 4320, while the sum is 27.
The square root of 1331523144 is about 36490.0417100337. The cubic root of 1331523144 is about 1100.1440979270.
Adding to 1331523144 its reverse (4413251331), we get a palindrome (5744774475).
The spelling of 1331523144 in words is "one billion, three hundred thirty-one million, five hundred twenty-three thousand, one hundred forty-four".
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