106985382400000
106,985,382,400,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 106985382400000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
106985382400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 106985382400000:
212 × 55 × 132 × 192 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 19 × 19 × 137)See below for interesting mathematical facts about the number 106985382400000 from the Numbermatics database.
Names of 106985382400000
- Cardinal: 106985382400000 can be written as One hundred six trillion, nine hundred eighty-five billion, three hundred eighty-two million, four hundred thousand.
Scientific notation
- Scientific notation: 1.069853824 × 1014
Factors of 106985382400000
Divisors of 106985382400000
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 128 130 137 152 160 169 190 200 208 247 250 256 260 274 304 320 325 338 361 380 400 416 475 494 500 512 520 548 608 625 640 650 676 685 722 760 800 832 845 950 988 1000 1024 1040 1096 1216 1235 1250 1280 1300 1352 1370 1444 1520 1600 1625 1664 1690 1781 1805 1900 1976 2000 2048 2080 2192 2375 2432 2470 2500 2560 2600 2603 2704 2740 2888 3040 3125 3200 3211 3250 3328 3380 3425 3562 3610 3800 3952 4000 4096 4160 4225 4384 4693 4750 4864 4940 5000 5120 5200 5206 5408 5480 5776 6080 6175 6250 6400 6422 6500 6656 6760 6850 7124 7220 7600 7904 8000 8125 8320 8450 8768 8905 9025 9386 9500 9728 9880 10000 10240 10400 10412 10816 10960 11552 11875 12160 12350 12500 12800 12844 13000 13015 13312 13520 13700 14248 14440 15200 15808 16000 16055 16250 16640 16900 17125 17536 17810 18050 18772 19000 19456 19760 20000 20480 20800 20824 21125 21632 21920 23104 23153 23465 23750 24320 24700 25000 25600 25688 26000 26030 26624 27040 27400 28496 28880 30400 30875 31616 32000 32110 32500 33280 33800 33839 34250 35072 35620 36100 37544 38000 38912 39520 40000 40625 41600 41648 42250 43264 43840 44525 45125 46208 46306 46930 47500 48640 49400 49457 50000 51200 51376 52000 52060 53248 54080 54800 56992 57760 59375 60800 61009 61750 63232 64000 64220 65000 65075 66560 67600 67678 68500 70144 71240 72200 75088 76000 77824 79040 80000 80275 81250 83200 83296 84500 85625 86528 87680 89050 90250 92416 92612 93860 95000 97280 98800 98914 100000 102400 102752 104000 104120 105625 108160 109600 113984 115520 115765 117325 118750 121600 122018 123500 126464 128000 128440 130000 130150 133120 135200 135356 137000 140288 142480 144400 150176 152000 154375 158080 160000 160550 162500 166400 166592 169000 169195 171250 173056 175360 178100 180500 184832 185224 187720 190000 194560 197600 197828 200000 205504 208000 208240 211250 216320 219200 222625 225625 227968 231040 231530 234650 237500 243200 244036 247000 247285 252928 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83582330000 85588305920 86627840000 87981400000 97614400000 102870560000 104477912500 106985382400 108284800000 112616192000 126609920000 128588200000 133731728000 140770240000 148179200000 156183040000 158262400000 164592896000 167164660000 171176611840 175962800000 195228800000 205741120000 208955825000 213970764800 216569600000 225232384000 257176400000 267463456000 281540480000 296358400000 316524800000 329185792000 334329320000 351925600000 390457600000 411482240000 417911650000 427941529600 433139200000 514352800000 534926912000 563080960000 633049600000 668658640000 703851200000 780915200000 822964480000 835823300000 855883059200 1028705600000 1069853824000 1126161920000 1337317280000 1407702400000 1645928960000 1671646600000 2057411200000 2139707648000 2674634560000 2815404800000 3343293200000 4114822400000 4279415296000 5349269120000 5630809600000 6686586400000 8229644800000 10698538240000 13373172800000 21397076480000 26746345600000 53492691200000 106985382400000
- Sum of all divisors σ(n): 307839479957604
- Sum of proper divisors (its aliquot sum) s(n): 200854097557604
- 106985382400000 is an abundant number, because the sum of its proper divisors (200854097557604) is greater than itself. Its abundance is 93868715157604
Bases of 106985382400000
- Binary: 110000101001101011110011011011011010000000000002
- Hexadecimal: 0x614D79B6D000
- Base-36: 11X8EMEEPS
Squares and roots of 106985382400000
- 106985382400000 squared (1069853824000002) is 11445872047274229760000000000
- 106985382400000 cubed (1069853824000003) is 1224540997879104348539060224000000000000000
-
The
square root of 106985382400000 is 10343373.8402902175 -
The
cube root of 106985382400000 is 47472.4320032123
Scales and comparisons
How big is 106985382400000?- 106,985,382,400,000 seconds is equal to 3,401,804 years, 12 weeks, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 106,985,382,400,000 would take you about eight million, five hundred four thousand, five hundred ten 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 106985382400000 cubic inches would be around 3956 feet tall.
Recreational maths with 106985382400000
- 106985382400000 backwards is 000004283589601
- The number of decimal digits it has is: 15
- The sum of 106985382400000's digits is 46
- More coming soon!
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The information we have on file for 106985382400000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 106985382400000, math, Factors of 106985382400000, curriculum, school, college, exams, university, Prime factorization of 106985382400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, nine hundred eighty-five billion, three hundred eighty-two million, four hundred thousand.