| Base | Representation |
|---|---|
| bin | 1100001011000011101001… |
| … | …0000001111101000010000 |
| 3 | 1202101111200121211002110000 |
| 4 | 3002300322100033220100 |
| 5 | 3223241111412244214 |
| 6 | 44244322450410000 |
| 7 | 2550653235035202 |
| oct | 302607220175020 |
| 9 | 52344617732400 |
| 10 | 13384095431184 |
| 11 | 42a0187a48145 |
| 12 | 1601b16590900 |
| 13 | 76116524459a |
| 14 | 343b17bb8772 |
| 15 | 18323eb3a809 |
| hex | c2c3a40fa10 |
13384095431184 has 225 divisors, whose sum is σ = 39053722770909. Its totient is φ = 4425234508800.
The previous prime is 13384095431141. The next prime is 13384095431191. The reversal of 13384095431184 is 48113459048331.
The square root of 13384095431184 is 3658428.
It is a perfect power (a square), and thus also a powerful number.
13384095431184 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 4 + 0 + 9 + 543 + 11 + 84 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4380062979600 + 9004032451584 = 2092860^2 + 3000672^2 .
It is a super-2 number, since 2×133840954311842 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 13384095431184.
It is an unprimeable number.
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 44 ways as a sum of consecutive naturals, for example, 19887214272 + ... + 19887214944.
Almost surely, 213384095431184 is an apocalyptic number.
13384095431184 is the 3658428-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13384095431184
13384095431184 is an abundant number, since it is smaller than the sum of its proper divisors (25669627339725).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13384095431184 is an frugal number, since it uses more digits than its factorization.
13384095431184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1668 (or 829 counting only the distinct ones).
The product of its (nonzero) digits is 4976640, while the sum is 54.
The spelling of 13384095431184 in words is "thirteen trillion, three hundred eighty-four billion, ninety-five million, four hundred thirty-one thousand, one hundred eighty-four".
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