| Base | Representation |
|---|---|
| bin | 1111011010101000… |
| … | …0000110110000000 |
| 3 | 101200101202210001200 |
| 4 | 3312222000312000 |
| 5 | 31433340134030 |
| 6 | 1522344101200 |
| 7 | 204356123136 |
| oct | 36652006600 |
| 9 | 11611683050 |
| 10 | 4138208640 |
| 11 | 1833a02445 |
| 12 | 975a64800 |
| 13 | 50c452587 |
| 14 | 2b384d756 |
| 15 | 193475d60 |
| hex | f6a80d80 |
4138208640 has 192 divisors, whose sum is σ = 14404815360. Its totient is φ = 1094639616.
The previous prime is 4138208579. The next prime is 4138208651. The reversal of 4138208640 is 468028314.
4138208640 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 2 + 0 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4138208595 and 4138208604.
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 23 ways as a sum of consecutive naturals, for example, 728692 + ... + 734348.
It is an arithmetic number, because the mean of its divisors is an integer number (75025080).
Almost surely, 24138208640 is an apocalyptic number.
4138208640 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 4138208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202407680).
4138208640 is an abundant number, since it is smaller than the sum of its proper divisors (10266606720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4138208640 is a wasteful number, since it uses less digits than its factorization.
4138208640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5809 (or 5794 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 4138208640 is about 64328.9098306508. The cubic root of 4138208640 is about 1605.4771458182.
The spelling of 4138208640 in words is "four billion, one hundred thirty-eight million, two hundred eight thousand, six hundred forty".
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