| Base | Representation |
|---|---|
| bin | 11110101110010011101011… |
| … | …100011010001000101110000 |
| 3 | 122201102200200121122122212000 |
| 4 | 132232103223203101011300 |
| 5 | 120202331134443213320 |
| 6 | 1155214534020534000 |
| 7 | 40314234225630315 |
| oct | 3656235343210560 |
| 9 | 581380617578760 |
| 10 | 135123623022960 |
| 11 | 3a066674592660 |
| 12 | 131a3a43b51300 |
| 13 | 5a52145314c80 |
| 14 | 2552038110d0c |
| 15 | 1094d1ed7dc90 |
| hex | 7ae4eb8d1170 |
135123623022960 has 1280 divisors, whose sum is σ = 555498265835520. Its totient is φ = 29757002711040.
The previous prime is 135123623022931. The next prime is 135123623022967. The reversal of 135123623022960 is 69220326321531.
135123623022960 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 362 + 3 + 0 + 229 + 60 = 666.
135123623022960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135123623022967) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26427461364 + ... + 26427466476.
It is an arithmetic number, because the mean of its divisors is an integer number (433983020184).
Almost surely, 2135123623022960 is an apocalyptic number.
135123623022960 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 135123623022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277749132917760).
135123623022960 is an abundant number, since it is smaller than the sum of its proper divisors (420374642812560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135123623022960 is a wasteful number, since it uses less digits than its factorization.
135123623022960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6503 (or 6491 counting only the distinct ones).
The product of its (nonzero) digits is 699840, while the sum is 45.
The spelling of 135123623022960 in words is "one hundred thirty-five trillion, one hundred twenty-three billion, six hundred twenty-three million, twenty-two thousand, nine hundred sixty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •