| Base | Representation |
|---|---|
| bin | 10011010110111110011… |
| … | …111000111110000000000 |
| 3 | 11201011211201202220200000 |
| 4 | 103112332133013300000 |
| 5 | 133244014211124322 |
| 6 | 2455052230400000 |
| 7 | 165054040401000 |
| oct | 23267637076000 |
| 9 | 4634751686600 |
| 10 | 1330340723712 |
| 11 | 473215724a70 |
| 12 | 1959b4500000 |
| 13 | 985b1c483b0 |
| 14 | 48562d68000 |
| 15 | 249129043ac |
| hex | 135be7c7c00 |
1330340723712 has 2112 divisors, whose sum is σ = 5507838336000. Its totient is φ = 316036546560.
The previous prime is 1330340723693. The next prime is 1330340723741. The reversal of 1330340723712 is 2173270430331.
1330340723712 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 407 + 237 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (2112).
It is a super-3 number, since 3×13303407237123 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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, 12204960714 + ... + 12204960822.
It is an arithmetic number, because the mean of its divisors is an integer number (2607878000).
Almost surely, 21330340723712 is an apocalyptic number.
1330340723712 is a gapful number since it is divisible by the number (12) 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 1330340723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753919168000).
1330340723712 is an abundant number, since it is smaller than the sum of its proper divisors (4177497612288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1330340723712 is a wasteful number, since it uses less digits than its factorization.
1330340723712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 63504, while the sum is 36.
Adding to 1330340723712 its product of nonzero digits (63504), we get a square (1330340787216 = 11534042).
The spelling of 1330340723712 in words is "one trillion, three hundred thirty billion, three hundred forty million, seven hundred twenty-three thousand, seven hundred twelve".
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