| Base | Representation |
|---|---|
| bin | 1111101001110… |
| … | …10011101010000 |
| 3 | 100011002022102200 |
| 4 | 13310322131100 |
| 5 | 232103431230 |
| 6 | 21010243200 |
| 7 | 3153062121 |
| oct | 764723520 |
| 9 | 304068380 |
| 10 | 131311440 |
| 11 | 68138257 |
| 12 | 37b86500 |
| 13 | 212876a0 |
| 14 | 13622048 |
| 15 | b7dc160 |
| hex | 7d3a750 |
131311440 has 120 divisors (see below), whose sum is σ = 474943560. Its totient is φ = 32320512.
The previous prime is 131311423. The next prime is 131311457. The reversal of 131311440 is 44113131.
It is an interprime number because it is at equal distance from previous prime (131311423) and next prime (131311457).
It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 126697536 = 2148^2 + 11256^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346 + ... + 16374.
It is an arithmetic number, because the mean of its divisors is an integer number (3957863).
Almost surely, 2131311440 is an apocalyptic number.
131311440 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 131311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237471780).
131311440 is an abundant number, since it is smaller than the sum of its proper divisors (343632120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131311440 is a wasteful number, since it uses less digits than its factorization.
131311440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14061 (or 14052 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 131311440 is about 11459.1203850906. The cubic root of 131311440 is about 508.2774643129.
Adding to 131311440 its reverse (44113131), we get a palindrome (175424571).
The spelling of 131311440 in words is "one hundred thirty-one million, three hundred eleven thousand, four hundred forty".
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