| Base | Representation |
|---|---|
| bin | 10010011011001111101010… |
| … | …10011111000000000000000 |
| 3 | 12022110112102212102120210000 |
| 4 | 21031213311103320000000 |
| 5 | 20302323433241144300 |
| 6 | 222101543345440000 |
| 7 | 11351240150324550 |
| oct | 1115476523700000 |
| 9 | 168415385376700 |
| 10 | 40518542131200 |
| 11 | 11a018a9798141 |
| 12 | 4664921940000 |
| 13 | 197bb6105c7b3 |
| 14 | a0117212b160 |
| 15 | 4a3ea85e4c00 |
| hex | 24d9f54f8000 |
40518542131200 has 1920 divisors, whose sum is σ = 173782235975040. Its totient is φ = 9141092352000.
The previous prime is 40518542131187. The next prime is 40518542131213. The reversal of 40518542131200 is 213124581504.
40518542131200 is a `hidden beast` number, since 4 + 0 + 5 + 185 + 421 + 31 + 20 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (40518542131187) and next prime (40518542131213).
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 119 ways as a sum of consecutive naturals, for example, 38552370675 + ... + 38552371725.
It is an arithmetic number, because the mean of its divisors is an integer number (90511581237).
Almost surely, 240518542131200 is an apocalyptic number.
40518542131200 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 40518542131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86891117987520).
40518542131200 is an abundant number, since it is smaller than the sum of its proper divisors (133263693843840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40518542131200 is an equidigital number, since it uses as much as digits as its factorization.
40518542131200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1193 (or 1151 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The spelling of 40518542131200 in words is "forty trillion, five hundred eighteen billion, five hundred forty-two million, one hundred thirty-one thousand, two hundred".
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