| Base | Representation |
|---|---|
| bin | 1011110101000100011011… |
| … | …1111111010010100010000 |
| 3 | 1201001101200001011020100100 |
| 4 | 2331101012333322110100 |
| 5 | 3201044002121200334 |
| 6 | 43355011412452400 |
| 7 | 2511451350001635 |
| oct | 275210677722420 |
| 9 | 51041601136310 |
| 10 | 13006352131344 |
| 11 | 4164a65781020 |
| 12 | 156087501a100 |
| 13 | 7346559a5510 |
| 14 | 32d7218d818c |
| 15 | 1784d2179c99 |
| hex | bd446ffa510 |
13006352131344 has 480 divisors, whose sum is σ = 44667221114880. Its totient is φ = 3476479564800.
The previous prime is 13006352131337. The next prime is 13006352131369. The reversal of 13006352131344 is 44313125360031.
13006352131344 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 63 + 521 + 31 + 3 + 44 = 666.
It is a super-2 number, since 2×130063521313442 (a number of 27 digits) contains 22 as substring.
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 = 13006352131299 and 13006352131308.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492073809 + ... + 492100239.
It is an arithmetic number, because the mean of its divisors is an integer number (93056710656).
Almost surely, 213006352131344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13006352131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333610557440).
13006352131344 is an abundant number, since it is smaller than the sum of its proper divisors (31660868983536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13006352131344 is a wasteful number, since it uses less digits than its factorization.
13006352131344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27531 (or 27522 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Adding to 13006352131344 its reverse (44313125360031), we get a palindrome (57319477491375).
The spelling of 13006352131344 in words is "thirteen trillion, six billion, three hundred fifty-two million, one hundred thirty-one thousand, three hundred forty-four".
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