| Base | Representation |
|---|---|
| bin | 10010001110000111010000… |
| … | …01110000110001111100000 |
| 3 | 12020212101211120121121100000 |
| 4 | 21013003220032012033200 |
| 5 | 20222430413320244114 |
| 6 | 221114404212500000 |
| 7 | 11303525210460120 |
| oct | 1107035016061740 |
| 9 | 166771746547300 |
| 10 | 40067350946784 |
| 11 | 11848517068267 |
| 12 | 45b13a291a600 |
| 13 | 1948447c559b5 |
| 14 | 9c73ad360c80 |
| 15 | 49739c9ace09 |
| hex | 2470e83863e0 |
40067350946784 has 288 divisors, whose sum is σ = 135948160857600. Its totient is φ = 11370981284352.
The previous prime is 40067350946783. The next prime is 40067350946813. The reversal of 40067350946784 is 48764905376004.
It is a happy number.
40067350946784 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 7 + 3 + 509 + 46 + 7 + 84 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×400673509467842 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40067350946783) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5640237 + ... + 10580499.
It is an arithmetic number, because the mean of its divisors is an integer number (472042225200).
Almost surely, 240067350946784 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40067350946784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67974080428800).
40067350946784 is an abundant number, since it is smaller than the sum of its proper divisors (95880809910816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40067350946784 is a wasteful number, since it uses less digits than its factorization.
40067350946784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4940444 (or 4940424 counting only the distinct ones).
The product of its (nonzero) digits is 121927680, while the sum is 63.
The spelling of 40067350946784 in words is "forty trillion, sixty-seven billion, three hundred fifty million, nine hundred forty-six thousand, seven hundred eighty-four".
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