968133192
968,133,192 is an even composite number composed of six prime numbers multiplied together.
968133192 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 968133192:
23 × 3 × 13 × 53 × 127 × 461
(2 × 2 × 2 × 3 × 13 × 53 × 127 × 461)See below for interesting mathematical facts about the number 968133192 from the Numbermatics database.
Names of 968133192
- Cardinal: 968133192 can be written as Nine hundred sixty-eight million, one hundred thirty-three thousand, one hundred ninety-two.
Scientific notation
- Scientific notation: 9.68133192 × 108
Factors of 968133192
Divisors of 968133192
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 127 156 159 212 254 312 318 381 424 461 508 636 689 762 922 1016 1272 1378 1383 1524 1651 1844 2067 2756 2766 3048 3302 3688 4134 4953 5512 5532 5993 6604 6731 8268 9906 11064 11986 13208 13462 16536 17979 19812 20193 23972 24433 26924 35958 39624 40386 47944 48866 53848 58547 71916 73299 80772 87503 97732 117094 143832 146598 161544 175006 175641 195464 234188 262509 293196 317629 350012 351282 468376 525018 586392 635258 700024 702564 761111 952887 1050036 1270516 1405128 1522222 1905774 2100072 2283333 2541032 3044444 3102991 3811548 4566666 6088888 6205982 7623096 9133332 9308973 12411964 18266664 18617946 24823928 37235892 40338883 74471784 80677766 121016649 161355532 242033298 322711064 484066596 968133192
- Sum of all divisors σ(n): 2682408960
- Sum of proper divisors (its aliquot sum) s(n): 1714275768
- 968133192 is an abundant number, because the sum of its proper divisors (1714275768) is greater than itself. Its abundance is 746142576
Bases of 968133192
- Binary: 1110011011010010001010010010002
- Hexadecimal: 0x39B48A48
- Base-36: G0EGCO
Squares and roots of 968133192
- 968133192 squared (9681331922) is 937281877452108864
- 968133192 cubed (9681331923) is 907413695821462981635813888
-
The
square root of 968133192 is 31114.8387750927 -
The
cube root of 968133192 is 989.2628570427
Scales and comparisons
How big is 968133192?- 968,133,192 seconds is equal to 30 years, 40 weeks, 5 days, 5 hours, 53 minutes, 12 seconds.
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To count from 1 to 968,133,192 would take you about forty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 968133192 cubic inches would be around 82.4 feet tall.
Recreational maths with 968133192
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