| Base | Representation |
|---|---|
| bin | 10011010110110110101111… |
| … | …11110010101000100000000 |
| 3 | 12120201100012221122120200000 |
| 4 | 21223123113332111010000 |
| 5 | 21034403200313002000 |
| 6 | 230310521130400000 |
| 7 | 11652226505351550 |
| oct | 1153332776250400 |
| 9 | 176640187576600 |
| 10 | 42566749344000 |
| 11 | 12621503323462 |
| 12 | 493587a290000 |
| 13 | 1a9a047aca84b |
| 14 | a72355191160 |
| 15 | 4dc3d3886000 |
| hex | 26b6d7f95100 |
42566749344000 has 3456 divisors, whose sum is σ = 194094751398912. Its totient is φ = 9067836211200.
The previous prime is 42566749343977. The next prime is 42566749344043. The reversal of 42566749344000 is 44394766524.
42566749344000 is a `hidden beast` number, since 4 + 2 + 56 + 67 + 4 + 93 + 440 + 0 + 0 = 666.
42566749344000 is digitally balanced in base 2, 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 (3456).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145279007854 + ... + 145279008146.
It is an arithmetic number, because the mean of its divisors is an integer number (56161675752).
Almost surely, 242566749344000 is an apocalyptic number.
42566749344000 is a gapful number since it is divisible by the number (40) 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 42566749344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97047375699456).
42566749344000 is an abundant number, since it is smaller than the sum of its proper divisors (151528002054912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42566749344000 is a wasteful number, since it uses less digits than its factorization.
42566749344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 520 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 17418240, while the sum is 54.
The spelling of 42566749344000 in words is "forty-two trillion, five hundred sixty-six billion, seven hundred forty-nine million, three hundred forty-four thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •