| Base | Representation |
|---|---|
| bin | 111111110011011001… |
| … | …0101001100000000000 |
| 3 | 111002122212211010220000 |
| 4 | 1333212302221200000 |
| 5 | 4221102100214130 |
| 6 | 142535544520000 |
| 7 | 12620245660011 |
| oct | 1774662514000 |
| 9 | 432585733800 |
| 10 | 137016023040 |
| 11 | 53120a78086 |
| 12 | 2267a480000 |
| 13 | cbc75ca960 |
| 14 | 68bb1d7008 |
| 15 | 386dc95260 |
| hex | 1fe6ca9800 |
137016023040 has 960 divisors, whose sum is σ = 538416758880. Its totient is φ = 33124515840.
The previous prime is 137016023029. The next prime is 137016023069. The reversal of 137016023040 is 40320610731.
137016023040 is a `hidden beast` number, since 1 + 370 + 1 + 60 + 230 + 4 + 0 = 666.
137016023040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 137016022995 and 137016023013.
It is a congruent number.
It is an unprimeable number.
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 79 ways as a sum of consecutive naturals, for example, 1045923775 + ... + 1045923905.
Almost surely, 2137016023040 is an apocalyptic number.
137016023040 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 137016023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269208379440).
137016023040 is an abundant number, since it is smaller than the sum of its proper divisors (401400735840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137016023040 is a wasteful number, since it uses less digits than its factorization.
137016023040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
Adding to 137016023040 its reverse (40320610731), we get a palindrome (177336633771).
The spelling of 137016023040 in words is "one hundred thirty-seven billion, sixteen million, twenty-three thousand, forty".
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