| Base | Representation |
|---|---|
| bin | 1011111100010001000100… |
| … | …1110100000100101000000 |
| 3 | 1201111012211120001000201221 |
| 4 | 2333010101032200211000 |
| 5 | 3210110222013240000 |
| 6 | 43531501322204424 |
| 7 | 2523416511613231 |
| oct | 277042116404500 |
| 9 | 51435746030657 |
| 10 | 13130004040000 |
| 11 | 4202448a89171 |
| 12 | 1580823953714 |
| 13 | 743200645a83 |
| 14 | 3356d1c63088 |
| 15 | 17b81ca4761a |
| hex | bf1113a0940 |
13130004040000 has 280 divisors, whose sum is σ = 34014614495400. Its totient is φ = 5020646400000.
The previous prime is 13130004039973. The next prime is 13130004040007. The reversal of 13130004040000 is 4040003131.
It can be written as a sum of positive squares in 20 ways, for example, as 11306056552704 + 1823947487296 = 3362448^2 + 1350536^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13130004040007) 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 39 ways as a sum of consecutive naturals, for example, 117103966 + ... + 117216034.
It is an arithmetic number, because the mean of its divisors is an integer number (121480766055).
Almost surely, 213130004040000 is an apocalyptic number.
13130004040000 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 13130004040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007307247700).
13130004040000 is an abundant number, since it is smaller than the sum of its proper divisors (20884610455400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13130004040000 is a wasteful number, since it uses less digits than its factorization.
13130004040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112231 (or 112206 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 13130004040000 its reverse (4040003131), we get a palindrome (13134044043131).
The spelling of 13130004040000 in words is "thirteen trillion, one hundred thirty billion, four million, forty thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •