| Base | Representation |
|---|---|
| bin | 10010010110011010100011… |
| … | …01111111100100000000000 |
| 3 | 12021212200002022211201000000 |
| 4 | 21023031101233330200000 |
| 5 | 20242114100323101432 |
| 6 | 221453420144000000 |
| 7 | 11333243531300130 |
| oct | 1113152157744000 |
| 9 | 167780068751000 |
| 10 | 40352589268992 |
| 11 | 1194848971a550 |
| 12 | 4638728600000 |
| 13 | 196930471c800 |
| 14 | 9d710bb98ac0 |
| 15 | 49e9e423157c |
| hex | 24b351bfc800 |
40352589268992 has 4032 divisors, whose sum is σ = 171102077153280. Its totient is φ = 9223107379200.
The previous prime is 40352589268991. The next prime is 40352589269029. The reversal of 40352589268992 is 29986298525304.
40352589268992 is a `hidden beast` number, since 4 + 0 + 3 + 525 + 8 + 9 + 2 + 6 + 8 + 9 + 92 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 40352589268992.
It is not an unprimeable number, because it can be changed into a prime (40352589268991) by changing a digit.
It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 602277451743 + ... + 602277451809.
It is an arithmetic number, because the mean of its divisors is an integer number (42436031040).
Almost surely, 240352589268992 is an apocalyptic number.
40352589268992 is a gapful number since it is divisible by the number (42) 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 40352589268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85551038576640).
40352589268992 is an abundant number, since it is smaller than the sum of its proper divisors (130749487884288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40352589268992 is a wasteful number, since it uses less digits than its factorization.
40352589268992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 134 counting only the distinct ones).
The product of its (nonzero) digits is 671846400, while the sum is 72.
The spelling of 40352589268992 in words is "forty trillion, three hundred fifty-two billion, five hundred eighty-nine million, two hundred sixty-eight thousand, nine hundred ninety-two".
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