83230728128000
83,230,728,128,000 is an even composite number composed of six prime numbers multiplied together.
83230728128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 83230728128000:
29 × 53 × 17 × 127 × 193 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 127 × 193 × 3121)See below for interesting mathematical facts about the number 83230728128000 from the Numbermatics database.
Names of 83230728128000
- Cardinal: 83230728128000 can be written as Eighty-three trillion, two hundred thirty billion, seven hundred twenty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 8.3230728128 × 1013
Factors of 83230728128000
Divisors of 83230728128000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 127 128 136 160 170 193 200 250 254 256 272 320 340 386 400 425 500 508 512 544 635 640 680 772 800 850 965 1000 1016 1088 1270 1280 1360 1544 1600 1700 1930 2000 2032 2125 2159 2176 2540 2560 2720 3088 3121 3175 3200 3281 3400 3860 4000 4064 4250 4318 4352 4825 5080 5440 6176 6242 6350 6400 6562 6800 7720 8000 8128 8500 8636 8704 9650 10160 10795 10880 12352 12484 12700 12800 13124 13600 15440 15605 15875 16000 16256 16405 17000 17272 19300 20320 21590 21760 24125 24511 24704 24968 25400 26248 27200 30880 31210 31750 32000 32512 32810 34000 34544 38600 40640 43180 43520 48250 49022 49408 49936 50800 52496 53057 53975 54400 61760 62420 63500 64000 65024 65620 68000 69088 77200 78025 81280 82025 86360 96500 98044 98816 99872 101600 104992 106114 107950 108800 122555 123520 124840 127000 131240 136000 138176 154400 156050 162560 164050 172720 193000 196088 199744 203200 209984 212228 215900 217600 245110 247040 249680 254000 262480 265285 269875 272000 276352 308800 312100 325120 328100 345440 386000 390125 392176 396367 399488 406400 410125 416687 419968 424456 431800 490220 494080 499360 508000 524960 530570 539750 544000 552704 602353 612775 617600 624200 656200 690880 772000 780250 784352 792734 798976 812800 820250 833374 839936 848912 863600 980440 998720 1016000 1049920 1061140 1079500 1088000 1105408 1204706 1225550 1235200 1248400 1312400 1326425 1381760 1544000 1560500 1568704 1585468 1597952 1625600 1640500 1666748 1679872 1697824 1727200 1960880 1981835 1997440 2032000 2083435 2099840 2122280 2159000 2409412 2451100 2470400 2496800 2624800 2652850 2763520 3011765 3063875 3088000 3121000 3137408 3170936 3281000 3333496 3395648 3454400 3921760 3963670 3994880 4064000 4166870 4199680 4244560 4318000 4818824 4902200 4993600 5249600 5305700 5527040 6023530 6127750 6176000 6242000 6274816 6341872 6562000 6632125 6666992 6738239 6791296 6908800 7843520 7927340 7989760 8128000 8333740 8399360 8489120 8636000 9637648 9804400 9909175 9987200 10240001 10417175 10499200 10611400 12047060 12255500 12352000 12484000 12549632 12683744 13124000 13264250 13333984 13476478 13582592 13817600 15058825 15687040 15854680 16667480 16978240 17272000 19275296 19608800 19818350 19974400 20480002 20834350 20998400 21222800 24094120 24511000 24968000 25367488 26248000 26528500 26667968 26952956 27165184 27635200 30117650 31374080 31709360 33334960 33691195 33956480 34544000 38550592 39217600 39636700 39948800 40960004 41668700 41996800 42445600 48188240 49022000 49545875 49936000 50734976 51200005 52085875 52496000 53057000 53335936 53905912 60235300 62748160 63418720 66669920 67382390 67912960 69088000 75294125 76498831 77101184 78435200 79273400 81920008 83337400 84891200 96376480 98044000 99091750 99872000 101469952 102400010 104171750 104992000 106114000 106671872 107811824 120470600 126837440 133339840 134764780 135825920 138176000 150588250 152997662 154202368 156870400 158546800 163840016 166674800 168455975 169782400 192752960 196088000 198183500 199744000 202939904 204800020 208343500 209984000 212228000 213343744 215623648 240941200 253674880 256000025 266679680 269529560 301176500 305995324 308404736 313740800 317093600 327680032 333349600 336911950 339564800 382494155 385505920 392176000 396367000 409600040 416687000 424456000 431247296 481882400 507349760 512000050 533359360 539059120 602353000 611990648 634187200 655360064 666699200 673823900 679129600 764988310 771011840 784352000 792734000 819200080 833374000 842279875 848912000 862494592 963764800 1014699520 1024000100 1066718720 1078118240 1204706000 1223981296 1268374400 1280000125 1300480127 1310720128 1333398400 1347647800 1529976620 1542023680 1568704000 1585468000 1638400160 1666748000 1684559750 1697824000 1724989184 1912470775 1927529600 2048000200 2156236480 2409412000 2447962592 2536748800 2560000250 2600960254 2621440256 2666796800 2695295600 3059953240 3170936000 3276800320 3333496000 3369119500 3395648000 3449978368 3824941550 3855059200 4096000400 4312472960 4818824000 4895925184 5073497600 5120000500 5201920508 5242880512 5333593600 5390591200 6119906480 6341872000 6502400635 6553600640 6666992000 6738239000 7649883100 7710118400 8192000800 8624945920 9562353875 9637648000 9791850368 10240001000 10403841016 10781182400 12239812960 12683744000 13004801270 13107201280 13333984000 13476478000 15299766200 16384001600 17249891840 19124707750 19275296000 19583700736 20480002000 20807682032 21562364800 24479625920 25367488000 26009602540 26214402560 26667968000 26952956000 30599532400 32512003175 32768003200 38249415500 38550592000 39167401472 40960004000 41615364064 43124729600 48959251840 52019205080 53905912000 61199064800 65024006350 65536006400 76498831000 81920008000 83230728128 86249459200 97918503680 104038410160 107811824000 122398129600 130048012700 131072012800 152997662000 162560015875 163840016000 166461456256 195837007360 208076820320 215623648000 244796259200 260096025400 305995324000 325120031750 327680032000 332922912512 416153640640 431247296000 489592518400 520192050800 611990648000 650240063500 655360064000 665845825024 832307281280 979185036800 1040384101600 1223981296000 1300480127000 1664614562560 2080768203200 2447962592000 2600960254000 3329229125120 4161536406400 4895925184000 5201920508000 8323072812800 10403841016000 16646145625600 20807682032000 41615364064000 83230728128000
- Sum of all divisors σ(n): 222698522382336
- Sum of proper divisors (its aliquot sum) s(n): 139467794254336
- 83230728128000 is an abundant number, because the sum of its proper divisors (139467794254336) is greater than itself. Its abundance is 56237066126336
Bases of 83230728128000
- Binary: 100101110110010101010011111110000000110000000002
- Hexadecimal: 0x4BB2A9FC0600
- Base-36: TI3O2KNI8
Squares and roots of 83230728128000
- 83230728128000 squared (832307281280002) is 6927354104717050384384000000
- 83230728128000 cubed (832307281280003) is 576568726136089662908742600753152000000000
-
The
square root of 83230728128000 is 9123087.6422404275 -
The
cube root of 83230728128000 is 43661.0890936621
Scales and comparisons
How big is 83230728128000?- 83,230,728,128,000 seconds is equal to 2,646,479 years, 36 weeks, 4 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 83,230,728,128,000 would take you about six million, six hundred sixteen thousand, one hundred ninety-nine 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 83230728128000 cubic inches would be around 3638.4 feet tall.
Recreational maths with 83230728128000
- 83230728128000 backwards is 00082182703238
- The number of decimal digits it has is: 14
- The sum of 83230728128000's digits is 44
- More coming soon!
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