| Base | Representation |
|---|---|
| bin | 10011000111001000111… |
| … | …001000010011000000000 |
| 3 | 11122112221121022000000000 |
| 4 | 103013020321002120000 |
| 5 | 133004202331423131 |
| 6 | 2443201000000000 |
| 7 | 163612450611165 |
| oct | 23071071023000 |
| 9 | 4575847260000 |
| 10 | 1313335420416 |
| 11 | 466a896739a8 |
| 12 | 192649460000 |
| 13 | 96b01b19156 |
| 14 | 477cc6a806c |
| 15 | 24269a30ce6 |
| hex | 131c8e42600 |
1313335420416 has 500 divisors, whose sum is σ = 4154762036172. Its totient is φ = 414737501184.
The previous prime is 1313335420409. The next prime is 1313335420421. The reversal of 1313335420416 is 6140245333131.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1313335420416 is a `hidden beast` number, since 1 + 313 + 335 + 4 + 2 + 0 + 4 + 1 + 6 = 666.
It is a super-2 number, since 2×13133354204162 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1313335420416 = 13683 + 109443 = 61563 + 102603.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 69122916855 + ... + 69122916873.
Almost surely, 21313335420416 is an apocalyptic number.
1313335420416 is a gapful number since it is divisible by the number (16) 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 1313335420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077381018086).
1313335420416 is an abundant number, since it is smaller than the sum of its proper divisors (2841426615756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1313335420416 is an frugal number, since it uses more digits than its factorization.
1313335420416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 121 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
The spelling of 1313335420416 in words is "one trillion, three hundred thirteen billion, three hundred thirty-five million, four hundred twenty thousand, four hundred sixteen".
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