| Base | Representation |
|---|---|
| bin | 10000100100001100111… |
| … | …001100010100010000000 |
| 3 | 11000211100211222011122000 |
| 4 | 100210030321202202000 |
| 5 | 122122401440244210 |
| 6 | 2230544340544000 |
| 7 | 145150120444230 |
| oct | 20441471424200 |
| 9 | 4024324864560 |
| 10 | 1138382743680 |
| 11 | 3a9870421466 |
| 12 | 1647620b2000 |
| 13 | 8346ca92420 |
| 14 | 3d152d6bcc0 |
| 15 | 1e92a4caac0 |
| hex | 1090ce62880 |
1138382743680 has 2048 divisors, whose sum is σ = 5161527705600. Its totient is φ = 230756843520.
The previous prime is 1138382743639. The next prime is 1138382743681. The reversal of 1138382743680 is 863472838311.
It is a happy number.
1138382743680 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 8 + 274 + 368 + 0 = 666.
It is a super-2 number, since 2×11383827436802 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (1138382743681) by changing a digit.
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 255 ways as a sum of consecutive naturals, for example, 5395178775 + ... + 5395178985.
It is an arithmetic number, because the mean of its divisors is an integer number (2520277200).
Almost surely, 21138382743680 is an apocalyptic number.
1138382743680 is a gapful number since it is divisible by the number (10) 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 1138382743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580763852800).
1138382743680 is an abundant number, since it is smaller than the sum of its proper divisors (4023144961920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1138382743680 is a wasteful number, since it uses less digits than its factorization.
1138382743680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 379 (or 361 counting only the distinct ones).
The product of its (nonzero) digits is 4644864, while the sum is 54.
The spelling of 1138382743680 in words is "one trillion, one hundred thirty-eight billion, three hundred eighty-two million, seven hundred forty-three thousand, six hundred eighty".
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