| Base | Representation |
|---|---|
| bin | 10010011011010110010101… |
| … | …00101101110011100110000 |
| 3 | 12022110212200020111022201200 |
| 4 | 21031223022211232130300 |
| 5 | 20302403300302421210 |
| 6 | 222103334411331200 |
| 7 | 11351424626622663 |
| oct | 1115531245563460 |
| 9 | 168425606438650 |
| 10 | 40522120357680 |
| 11 | 11a03375594705 |
| 12 | 4665560150b00 |
| 13 | 197c2b1488180 |
| 14 | a013d144d6da |
| 15 | 4a41178050c0 |
| hex | 24daca96e730 |
40522120357680 has 1440 divisors, whose sum is σ = 157792480634880. Its totient is φ = 9261208535040.
The previous prime is 40522120357613. The next prime is 40522120357687. The reversal of 40522120357680 is 8675302122504.
40522120357680 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 212 + 0 + 357 + 6 + 80 = 666.
40522120357680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×405221203576802 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (40522120357687) by changing a digit.
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 287 ways as a sum of consecutive naturals, for example, 38192384350 + ... + 38192385410.
It is an arithmetic number, because the mean of its divisors is an integer number (109578111552).
Almost surely, 240522120357680 is an apocalyptic number.
40522120357680 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 40522120357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78896240317440).
40522120357680 is an abundant number, since it is smaller than the sum of its proper divisors (117270360277200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40522120357680 is a wasteful number, since it uses less digits than its factorization.
40522120357680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1347 (or 1319 counting only the distinct ones).
The product of its (nonzero) digits is 806400, while the sum is 45.
The spelling of 40522120357680 in words is "forty trillion, five hundred twenty-two billion, one hundred twenty million, three hundred fifty-seven thousand, six hundred eighty".
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