6138085474304000
6,138,085,474,304,000 is an even composite number composed of four prime numbers multiplied together.
6138085474304000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred twelve divisors.
Prime factorization of 6138085474304000:
218 × 53 × 73 × 7392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 739 × 739)See below for interesting mathematical facts about the number 6138085474304000 from the Numbermatics database.
Names of 6138085474304000
- Cardinal: 6138085474304000 can be written as Six quadrillion, one hundred thirty-eight trillion, eighty-five billion, four hundred seventy-four million, three hundred four thousand.
Scientific notation
- Scientific notation: 6.138085474304 × 1015
Factors of 6138085474304000
Divisors of 6138085474304000
- Number of divisors d(n): 912
-
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 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 343 350 392 400 448 490 500 512 560 640 686 700 739 784 800 875 896 980 1000 1024 1120 1225 1280 1372 1400 1478 1568 1600 1715 1750 1792 1960 2000 2048 2240 2450 2560 2744 2800 2956 3136 3200 3430 3500 3584 3695 3920 4000 4096 4480 4900 5120 5173 5488 5600 5912 6125 6272 6400 6860 7000 7168 7390 7840 8000 8192 8575 8960 9800 10240 10346 10976 11200 11824 12250 12544 12800 13720 14000 14336 14780 15680 16000 16384 17150 17920 18475 19600 20480 20692 21952 22400 23648 24500 25088 25600 25865 27440 28000 28672 29560 31360 32000 32768 34300 35840 36211 36950 39200 40960 41384 42875 43904 44800 47296 49000 50176 51200 51730 54880 56000 57344 59120 62720 64000 65536 68600 71680 72422 73900 78400 81920 82768 85750 87808 89600 92375 94592 98000 100352 102400 103460 109760 112000 114688 118240 125440 128000 129325 131072 137200 143360 144844 147800 156800 163840 165536 171500 175616 179200 181055 184750 189184 196000 200704 204800 206920 219520 224000 229376 236480 250880 253477 256000 258650 262144 274400 286720 289688 295600 313600 327680 331072 343000 351232 358400 362110 369500 378368 392000 401408 409600 413840 439040 448000 458752 472960 501760 506954 512000 517300 546121 548800 573440 579376 591200 627200 646625 655360 662144 686000 702464 716800 724220 739000 756736 784000 802816 819200 827680 878080 896000 905275 917504 945920 1003520 1013908 1024000 1034600 1092242 1097600 1146880 1158752 1182400 1254400 1267385 1293250 1310720 1324288 1372000 1404928 1433600 1448440 1478000 1513472 1568000 1605632 1638400 1655360 1756160 1792000 1810550 1835008 1891840 2007040 2027816 2048000 2069200 2184484 2195200 2293760 2317504 2364800 2508800 2534770 2586500 2648576 2730605 2744000 2809856 2867200 2896880 2956000 3026944 3136000 3211264 3276800 3310720 3512320 3584000 3621100 3783680 3822847 4014080 4055632 4096000 4138400 4368968 4390400 4526375 4587520 4635008 4729600 5017600 5069540 5173000 5297152 5461210 5488000 5619712 5734400 5793760 5912000 6053888 6272000 6336925 6422528 6553600 6621440 7024640 7168000 7242200 7567360 7645694 8028160 8111264 8192000 8276800 8737936 8780800 9052750 9175040 9270016 9459200 10035200 10139080 10346000 10594304 10922420 10976000 11239424 11468800 11587520 11824000 12107776 12544000 12673850 12845056 13242880 13653025 14049280 14336000 14484400 15134720 15291388 16056320 16222528 16384000 16553600 17475872 17561600 18105500 18540032 18918400 19114235 20070400 20278160 20692000 21188608 21844840 21952000 22478848 22937600 23175040 23648000 24215552 25088000 25347700 26485760 26759929 27306050 28098560 28672000 28968800 30269440 30582776 31684625 32112640 32445056 32768000 33107200 34951744 35123200 36211000 37080064 37836800 38228470 40140800 40556320 41384000 42377216 43689680 43904000 44957696 45875200 46350080 47296000 48431104 50176000 50695400 52971520 53519858 54612100 56197120 57344000 57937600 60538880 61165552 63369250 64225280 64890112 66214400 68265125 69903488 70246400 72422000 74160128 75673600 76456940 80281600 81112640 82768000 84754432 87379360 87808000 89915392 92700160 94592000 95571175 96862208 100352000 101390800 105943040 107039716 109224200 112394240 114688000 115875200 121077760 122331104 126738500 129780224 132428800 133799645 136530250 139806976 140492800 144844000 148320256 151347200 152913880 160563200 162225280 165536000 169508864 174758720 175616000 185400320 187319503 189184000 191142350 193724416 200704000 202781600 211886080 214079432 218448400 224788480 229376000 231750400 242155520 244662208 253477000 259560448 264857600 267599290 273060500 279613952 280985600 289688000 296640512 302694400 305827760 321126400 324450560 331072000 339017728 349517440 351232000 370800640 374639006 378368000 382284700 401408000 405563200 423772160 428158864 436896800 449576960 463500800 477855875 484311040 489324416 506954000 519120896 529715200 535198580 546121000 559227904 561971200 579376000 593281024 605388800 611655520 648901120 662144000 668998225 678035456 699034880 702464000 741601280 749278012 756736000 764569400 802816000 811126400 847544320 856317728 873793600 927001600 936597515 955711750 968622080 978648832 1013908000 1038241792 1059430400 1070397160 1092242000 1118455808 1123942400 1158752000 1186562048 1210777600 1223311040 1297802240 1324288000 1337996450 1356070912 1398069760 1404928000 1483202560 1498556024 1513472000 1529138800 1605632000 1622252800 1695088640 1712635456 1747587200 1854003200 1873195030 1911423500 1957297664 2027816000 2076483584 2118860800 2140794320 2184484000 2236911616 2247884800 2317504000 2373124096 2421555200 2446622080 2595604480 2648576000 2675992900 2796139520 2809856000 2966405120 2997112048 3026944000 3058277600 3244505600 3344991125 3390177280 3425270912 3495174400 3708006400 3746390060 3822847000 3914595328 4055632000 4152967168 4237721600 4281588640 4368968000 4473823232 4635008000 4682987575 4746248192 4843110400 4893244160 5191208960 5297152000 5351985800 5592279040 5619712000 5932810240 5994224096 6053888000 6116555200 6489011200 6689982250 6780354560 6850541824 6990348800 7416012800 7492780120 7645694000 7829190656 8111264000 8305934336 8475443200 8563177280 8737936000 8947646464 9270016000 9365975150 9492496384 9786488320 10382417920 10594304000 10703971600 11184558080 11239424000 11865620480 11988448192 12107776000 12233110400 12978022400 13379964500 13701083648 13980697600 14832025600 14985560240 15291388000 15658381312 16222528000 16611868672 16950886400 17126354560 17475872000 17895292928 18540032000 18731950300 19572976640 20764835840 21188608000 21407943200 22369116160 23414937875 23731240960 23976896384 24215552000 24466220800 25956044800 26759929000 27402167296 27961395200 29664051200 29971120480 30582776000 31316762624 32445056000 33223737344 33901772800 34252709120 34951744000 35790585856 37080064000 37463900600 39145953280 41529671680 42377216000 42815886400 44738232320 46829875750 47462481920 47953792768 48932441600 51912089600 53519858000 54804334592 55922790400 59328102400 59942240960 61165552000 62633525248 64890112000 66447474688 68505418240 69903488000 71581171712 74160128000 74927801200 78291906560 83059343360 84754432000 85631772800 89476464640 93659751500 95907585536 97864883200 103824179200 107039716000 109608669184 111845580800 118656204800 119884481920 122331104000 125267050496 129780224000 137010836480 139806976000 143162343424 148320256000 149855602400 156583813120 166118686720 169508864000 171263545600 178952929280 187319503000 191815171072 195729766400 207648358400 214079432000 219217338368 223691161600 237312409600 239768963840 244662208000 250534100992 259560448000 274021672960 279613952000 296640512000 299711204800 313167626240 332237373440 342527091200 357905858560 374639006000 383630342144 391459532800 415296716800 428158864000 438434676736 447382323200 479537927680 489324416000 501068201984 519120896000 548043345920 559227904000 593281024000 599422409600 626335252480 685054182400 715811717120 749278012000 767260684288 782919065600 830593433600 856317728000 876869353472 894764646400 959075855360 978648832000 1002136403968 1038241792000 1096086691840 1118455808000 1186562048000 1198844819200 1252670504960 1370108364800 1498556024000 1534521368576 1565838131200 1661186867200 1712635456000 1753738706944 1789529292800 1918151710720 1957297664000 2076483584000 2192173383680 2236911616000 2397689638400 2505341009920 2740216729600 2997112048000 3069042737152 3131676262400 3425270912000 3507477413888 3579058585600 3836303421440 3914595328000 4152967168000 4384346767360 4473823232000 4795379276800 5010682019840 5480433459200 5994224096000 6138085474304 6263352524800 6850541824000 7014954827776 7672606842880 7829190656000 8305934336000 8768693534720 8947646464000 9590758553600 10960866918400 11988448192000 12276170948608 12526705049600 13701083648000 15345213685760 15658381312000 17537387069440 17895292928000 19181517107200 21921733836800 23976896384000 24552341897216 25053410099200 27402167296000 30690427371520 31316762624000 35074774138880 38363034214400 43843467673600 47953792768000 49104683794432 54804334592000 61380854743040 62633525248000 76726068428800 87686935347200 95907585536000 109608669184000 122761709486080 125267050496000 153452136857600 175373870694400 191815171072000 219217338368000 245523418972160 306904273715200 383630342144000 438434676736000 613808547430400 767260684288000 876869353472000 1227617094860800 1534521368576000 3069042737152000 6138085474304000
- Sum of all divisors σ(n): 17890835857876800
- Sum of proper divisors (its aliquot sum) s(n): 11752750383572800
- 6138085474304000 is an abundant number, because the sum of its proper divisors (11752750383572800) is greater than itself. Its abundance is 5614664909268800
Bases of 6138085474304000
- Binary: 101011100111010001110011001000100110000000000000000002
- Hexadecimal: 0x15CE8E644C0000
- Base-36: 1OFRPJEQA68
Squares and roots of 6138085474304000
- 6138085474304000 squared (61380854743040002) is 37676093289861760644284416000000
- 6138085474304000 cubed (61380854743040003) is 231259080951022876838865030210035646464000000000
-
The
square root of 6138085474304000 is 78345934.6380142433 -
The
cube root of 6138085474304000 is 183095.4887435311
Scales and comparisons
How big is 6138085474304000?- 6,138,085,474,304,000 seconds is equal to 195,172,131 years, 38 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 6,138,085,474,304,000 would take you about five hundred eighty-five million, five hundred sixteen thousand, three hundred ninety-five 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 6138085474304000 cubic inches would be around 15258 feet tall.
Recreational maths with 6138085474304000
- 6138085474304000 backwards is 0004034745808316
- The number of decimal digits it has is: 16
- The sum of 6138085474304000's digits is 53
- More coming soon!
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