| Base | Representation |
|---|---|
| bin | 111111011111111100… |
| … | …0000011000100000000 |
| 3 | 111000222101021120221200 |
| 4 | 1332333320003010000 |
| 5 | 4213232430031130 |
| 6 | 142351103021200 |
| 7 | 12565130312100 |
| oct | 1767770030400 |
| 9 | 430871246850 |
| 10 | 136363127040 |
| 11 | 52916480708 |
| 12 | 2251789a800 |
| 13 | cb2227176a |
| 14 | 6858601200 |
| 15 | 38317c9760 |
| hex | 1fbfe03100 |
136363127040 has 648 divisors, whose sum is σ = 563750754840. Its totient is φ = 30321672192.
The previous prime is 136363127029. The next prime is 136363127101. The reversal of 136363127040 is 40721363631.
136363127040 is a `hidden beast` number, since 1 + 3 + 636 + 3 + 12 + 7 + 0 + 4 + 0 = 666.
136363127040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 12368998656 + 123994128384 = 111216^2 + 352128^2 .
It is a super-2 number, since 2×1363631270402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 136363126986 and 136363127004.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20882496 + ... + 20889024.
Almost surely, 2136363127040 is an apocalyptic number.
136363127040 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 136363127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281875377420).
136363127040 is an abundant number, since it is smaller than the sum of its proper divisors (427387627800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136363127040 is a wasteful number, since it uses less digits than its factorization.
136363127040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6607 (or 6583 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The spelling of 136363127040 in words is "one hundred thirty-six billion, three hundred sixty-three million, one hundred twenty-seven thousand, forty".
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