| Base | Representation |
|---|---|
| bin | 100111000101010… |
| … | …1101100110000000 |
| 3 | 10101101200121012000 |
| 4 | 1032022231212000 |
| 5 | 10141211243130 |
| 6 | 334044304000 |
| 7 | 44332660053 |
| oct | 11612554600 |
| 9 | 3341617160 |
| 10 | 1311431040 |
| 11 | 6132a5607 |
| 12 | 307242000 |
| 13 | 17b90acca |
| 14 | c6258a9a |
| 15 | 7a1ec260 |
| hex | 4e2ad980 |
1311431040 has 256 divisors, whose sum is σ = 4806648000. Its totient is φ = 337526784.
The previous prime is 1311431039. The next prime is 1311431041. The reversal of 1311431040 is 401341131.
1311431040 is a `hidden beast` number, since 1 + 311 + 4 + 310 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (1311431039) and next prime (1311431041).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1311431041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499812 + ... + 502428.
Almost surely, 21311431040 is an apocalyptic number.
1311431040 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 1311431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403324000).
1311431040 is an abundant number, since it is smaller than the sum of its proper divisors (3495216960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311431040 is a wasteful number, since it uses less digits than its factorization.
1311431040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2674 (or 2656 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1311431040 is about 36213.6858107539. The cubic root of 1311431040 is about 1094.5824641906.
Adding to 1311431040 its reverse (401341131), we get a palindrome (1712772171).
The spelling of 1311431040 in words is "one billion, three hundred eleven million, four hundred thirty-one thousand, forty".
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