| Base | Representation |
|---|---|
| bin | 100110000110001001… |
| … | …001011001001100000 |
| 3 | 10220120202110101102120 |
| 4 | 212012021023021200 |
| 5 | 1132233221220233 |
| 6 | 30442553344240 |
| 7 | 2645445644460 |
| oct | 460611131140 |
| 9 | 126522411376 |
| 10 | 40905257568 |
| 11 | 16390a5149a |
| 12 | 7b17108080 |
| 13 | 3b1b79a026 |
| 14 | 1da08d5ba0 |
| 15 | 10e62014b3 |
| hex | 98624b260 |
40905257568 has 96 divisors (see below), whose sum is σ = 123401698560. Its totient is φ = 11621890560.
The previous prime is 40905257539. The next prime is 40905257597. The reversal of 40905257568 is 86575250904.
It is an interprime number because it is at equal distance from previous prime (40905257539) and next prime (40905257597).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 40905257568.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49743 + ... + 290318.
It is an arithmetic number, because the mean of its divisors is an integer number (1285434360).
Almost surely, 240905257568 is an apocalyptic number.
40905257568 is a gapful number since it is divisible by the number (48) 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 40905257568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61700849280).
40905257568 is an abundant number, since it is smaller than the sum of its proper divisors (82496440992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40905257568 is a wasteful number, since it uses less digits than its factorization.
40905257568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 340260 (or 340252 counting only the distinct ones).
The product of its (nonzero) digits is 3024000, while the sum is 51.
The spelling of 40905257568 in words is "forty billion, nine hundred five million, two hundred fifty-seven thousand, five hundred sixty-eight".
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