| Base | Representation |
|---|---|
| bin | 11101100101101011110101… |
| … | …001111001100000000000000 |
| 3 | 122001202121002212001222222000 |
| 4 | 131211223311033030000000 |
| 5 | 114024044423041032230 |
| 6 | 1140434142412144000 |
| 7 | 36260541612114600 |
| oct | 3545536517140000 |
| 9 | 561677085058860 |
| 10 | 130133033533440 |
| 11 | 38512122960993 |
| 12 | 127187a1768000 |
| 13 | 577c652a82602 |
| 14 | 241c6884bcc00 |
| 15 | 100a0d38c6b60 |
| hex | 765af53cc000 |
130133033533440 has 2880 divisors, whose sum is σ = 560279839795200. Its totient is φ = 28552313438208.
The previous prime is 130133033533427. The next prime is 130133033533457. The reversal of 130133033533440 is 44335330331031.
130133033533440 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 303 + 3 + 5 + 3 + 344 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 130133033533395 and 130133033533404.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300538183464 + ... + 300538183896.
It is an arithmetic number, because the mean of its divisors is an integer number (194541611040).
Almost surely, 2130133033533440 is an apocalyptic number.
130133033533440 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 130133033533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280139919897600).
130133033533440 is an abundant number, since it is smaller than the sum of its proper divisors (430146806261760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130133033533440 is an equidigital number, since it uses as much as digits as its factorization.
130133033533440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 595 (or 556 counting only the distinct ones).
The product of its (nonzero) digits is 174960, while the sum is 36.
Adding to 130133033533440 its reverse (44335330331031), we get a palindrome (174468363864471).
The spelling of 130133033533440 in words is "one hundred thirty trillion, one hundred thirty-three billion, thirty-three million, five hundred thirty-three thousand, four hundred forty".
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