| Base | Representation |
|---|---|
| bin | 10011010111000011111… |
| … | …000011010110011100000 |
| 3 | 11201012002001002200122110 |
| 4 | 103113003320122303200 |
| 5 | 133244210344211230 |
| 6 | 2455105222435320 |
| 7 | 165056216651040 |
| oct | 23270370326340 |
| 9 | 4635061080573 |
| 10 | 1330431241440 |
| 11 | 47326182a304 |
| 12 | 195a1a892b40 |
| 13 | 985c791bb92 |
| 14 | 48570dab720 |
| 15 | 2491a8344b0 |
| hex | 135c3e1ace0 |
1330431241440 has 384 divisors, whose sum is σ = 5088634306560. Its totient is φ = 285676167168.
The previous prime is 1330431241429. The next prime is 1330431241441. The reversal of 1330431241440 is 441421340331.
It is a super-3 number, since 3×13304312414403 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1330431241398 and 1330431241407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1330431241441) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3420769 + ... + 3789791.
It is an arithmetic number, because the mean of its divisors is an integer number (13251651840).
Almost surely, 21330431241440 is an apocalyptic number.
1330431241440 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 1330431241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544317153280).
1330431241440 is an abundant number, since it is smaller than the sum of its proper divisors (3758203065120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1330431241440 is a wasteful number, since it uses less digits than its factorization.
1330431241440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 369114 (or 369106 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 30.
Adding to 1330431241440 its reverse (441421340331), we get a palindrome (1771852581771).
The spelling of 1330431241440 in words is "one trillion, three hundred thirty billion, four hundred thirty-one million, two hundred forty-one thousand, four hundred forty".
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