106985816000
106,985,816,000 is an even composite number composed of five prime numbers multiplied together.
106985816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 106985816000:
26 × 53 × 73 × 127 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 127 × 307)See below for interesting mathematical facts about the number 106985816000 from the Numbermatics database.
Names of 106985816000
- Cardinal: 106985816000 can be written as One hundred six billion, nine hundred eighty-five million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.06985816 × 1011
Factors of 106985816000
Divisors of 106985816000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 127 140 160 175 196 200 224 245 250 254 280 307 320 343 350 392 400 448 490 500 508 560 614 635 686 700 784 800 875 889 980 1000 1016 1120 1225 1228 1270 1372 1400 1535 1568 1600 1715 1750 1778 1960 2000 2032 2149 2240 2450 2456 2540 2744 2800 3070 3136 3175 3430 3500 3556 3920 4000 4064 4298 4445 4900 4912 5080 5488 5600 6125 6140 6223 6350 6860 7000 7112 7675 7840 8000 8128 8575 8596 8890 9800 9824 10160 10745 10976 11200 12250 12280 12446 12700 13720 14000 14224 15043 15350 15680 15875 17150 17192 17780 19600 19648 20320 21490 21952 22225 24500 24560 24892 25400 27440 28000 28448 30086 30700 31115 31750 34300 34384 35560 38375 38989 39200 40640 42875 42980 43561 44450 49000 49120 49784 50800 53725 54880 56000 56896 60172 61400 62230 63500 68600 68768 71120 75215 76750 77978 78400 85750 85960 87122 88900 98000 98240 99568 101600 105301 107450 109760 111125 120344 122800 124460 127000 137200 137536 142240 150430 153500 155575 155956 171500 171920 174244 177800 194945 196000 199136 203200 210602 214900 217805 222250 240688 245600 248920 254000 268625 272923 274400 284480 300860 307000 311150 311912 343000 343840 348488 355600 376075 389890 392000 398272 421204 429800 435610 444500 481376 491200 497840 508000 526505 537250 545846 548800 601720 614000 622300 623824 686000 687680 696976 711200 752150 777875 779780 842408 859600 871220 889000 962752 974725 995680 1016000 1053010 1074500 1089025 1091692 1203440 1228000 1244600 1247648 1364615 1372000 1393952 1422400 1504300 1555750 1559560 1684816 1719200 1742440 1778000 1880375 1910461 1949450 1991360 2106020 2149000 2178050 2183384 2406880 2456000 2489200 2495296 2632525 2729230 2744000 2787904 3008600 3111500 3119120 3369632 3438400 3484880 3556000 3760750 3820922 3898900 4212040 4298000 4356100 4366768 4813760 4873625 4978400 5265050 5445125 5458460 6017200 6223000 6238240 6739264 6823075 6969760 7112000 7521500 7641844 7797800 8424080 8596000 8712200 8733536 9552305 9747250 9956800 10530100 10890250 10916920 12034400 12446000 12476480 13162625 13373227 13646150 13939520 15043000 15283688 15595600 16848160 17192000 17424400 17467072 19104610 19494500 21060200 21780500 21833840 24068800 24892000 26325250 26746454 27292300 30086000 30567376 31191200 33696320 34115375 34848800 38209220 38989000 42120400 43561000 43667680 47761525 49784000 52650500 53492908 54584600 60172000 61134752 62382400 66866135 68230750 69697600 76418440 77978000 84240800 87122000 87335360 95523050 105301000 106985816 109169200 120344000 122269504 133732270 136461500 152836880 155956000 168481600 174244000 191046100 210602000 213971632 218338400 238807625 267464540 272923000 305673760 311912000 334330675 348488000 382092200 421204000 427943264 436676800 477615250 534929080 545846000 611347520 668661350 764184400 842408000 855886528 955230500 1069858160 1091692000 1337322700 1528368800 1671653375 1910461000 2139716320 2183384000 2674645400 3056737600 3343306750 3820922000 4279432640 5349290800 6686613500 7641844000 10698581600 13373227000 15283688000 21397163200 26746454000 53492908000 106985816000
- Sum of all divisors σ(n): 312427315200
- Sum of proper divisors (its aliquot sum) s(n): 205441499200
- 106985816000 is an abundant number, because the sum of its proper divisors (205441499200) is greater than itself. Its abundance is 98455683200
Bases of 106985816000
- Binary: 11000111010001101100111111111110000002
- Hexadecimal: 0x18E8D9FFC0
- Base-36: 1D5CLBY8
Squares and roots of 106985816000
- 106985816000 squared (1069858160002) is 11445964825185856000000
- 106985816000 cubed (1069858160003) is 1224555886729806155818496000000000
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The
square root of 106985816000 is 327086.8630807421 -
The
cube root of 106985816000 is 4747.2496136643
Scales and comparisons
How big is 106985816000?- 106,985,816,000 seconds is equal to 3,401 years, 42 weeks, 3 days, 18 hours, 13 minutes, 20 seconds.
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To count from 1 to 106,985,816,000 would take you about six thousand, eight hundred three 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 106985816000 cubic inches would be around 395.6 feet tall.
Recreational maths with 106985816000
- 106985816000 backwards is 000618589601
- The number of decimal digits it has is: 12
- The sum of 106985816000's digits is 44
- More coming soon!
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