| Base | Representation |
|---|---|
| bin | 111111111111111111… |
| … | …0000000000000000000 |
| 3 | 111010202022122121012000 |
| 4 | 1333333332000000000 |
| 5 | 4222433214213214 |
| 6 | 143045514304000 |
| 7 | 12633565241550 |
| oct | 1777776000000 |
| 9 | 433668577160 |
| 10 | 137438429184 |
| 11 | 53318457071 |
| 12 | 22777a28000 |
| 13 | cc63c85914 |
| 14 | 691b351160 |
| 15 | 3895dd2809 |
| hex | 1ffff80000 |
137438429184 has 640 divisors, whose sum is σ = 496605120000. Its totient is φ = 36691771392.
The previous prime is 137438429179. The next prime is 137438429237. The reversal of 137438429184 is 481924834731.
137438429184 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 38 + 429 + 184 = 666.
137438429184 is digitally balanced in base 3, 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 (54).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 2.
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 137438429184.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882718172 + ... + 1882718244.
It is an arithmetic number, because the mean of its divisors is an integer number (775945500).
Almost surely, 2137438429184 is an apocalyptic number.
137438429184 is a gapful number since it is divisible by the number (14) 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 137438429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248302560000).
137438429184 is an abundant number, since it is smaller than the sum of its proper divisors (359166690816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137438429184 is an frugal number, since it uses more digits than its factorization.
137438429184 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146 (or 104 counting only the distinct ones).
The product of its digits is 4644864, while the sum is 54.
The spelling of 137438429184 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, four hundred twenty-nine thousand, one hundred eighty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •