| Base | Representation |
|---|---|
| bin | 11000110010001111… |
| … | …01100111101010000 |
| 3 | 1021100100020200122010 |
| 4 | 30121013230331100 |
| 5 | 204222411221230 |
| 6 | 10040213142520 |
| 7 | 650513056344 |
| oct | 143107547520 |
| 9 | 37310220563 |
| 10 | 13306351440 |
| 11 | 57090a7868 |
| 12 | 26b432aa40 |
| 13 | 13409b4745 |
| 14 | 903313624 |
| 15 | 52d2b79b0 |
| hex | 3191ecf50 |
13306351440 has 120 divisors (see below), whose sum is σ = 42395724000. Its totient is φ = 3452373504.
The previous prime is 13306351439. The next prime is 13306351441. The reversal of 13306351440 is 4415360331.
13306351440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13306351439) and next prime (13306351441).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 13306351398 and 13306351407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13306351441) 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 23 ways as a sum of consecutive naturals, for example, 308311 + ... + 348809.
It is an arithmetic number, because the mean of its divisors is an integer number (353297700).
Almost surely, 213306351440 is an apocalyptic number.
13306351440 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 13306351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197862000).
13306351440 is an abundant number, since it is smaller than the sum of its proper divisors (29089372560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13306351440 is a wasteful number, since it uses less digits than its factorization.
13306351440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40589 (or 40546 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 30.
The spelling of 13306351440 in words is "thirteen billion, three hundred six million, three hundred fifty-one thousand, four hundred forty".
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