| Base | Representation |
|---|---|
| bin | 111010010010000001101… |
| … | …111111010110100000000 |
| 3 | 112011212211100112200000000 |
| 4 | 322102001233322310000 |
| 5 | 1011104404100424100 |
| 6 | 12303524500000000 |
| 7 | 562233526130523 |
| oct | 72220157726400 |
| 9 | 15155740480000 |
| 10 | 4005086342400 |
| 11 | 1304602911a30 |
| 12 | 548267390000 |
| 13 | 2308a77c84b0 |
| 14 | dbbc0a78bba |
| 15 | 6e2ac7b9900 |
| hex | 3a481bfad00 |
4005086342400 has 3888 divisors, whose sum is σ = 18856609349760. Its totient is φ = 827714764800.
The previous prime is 4005086342339. The next prime is 4005086342401. The reversal of 4005086342400 is 42436805004.
4005086342400 is a `hidden beast` number, since 400 + 5 + 0 + 8 + 6 + 3 + 4 + 240 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3888).
It is a super-3 number, since 3×40050863424003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4005086342401) 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 431 ways as a sum of consecutive naturals, for example, 138106425586 + ... + 138106425614.
Almost surely, 24005086342400 is an apocalyptic number.
4005086342400 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 4005086342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428304674880).
4005086342400 is an abundant number, since it is smaller than the sum of its proper divisors (14851523007360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4005086342400 is a wasteful number, since it uses less digits than its factorization.
4005086342400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The spelling of 4005086342400 in words is "four trillion, five billion, eighty-six million, three hundred forty-two thousand, four hundred".
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