48213662144000
48,213,662,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48213662144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
48213662144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 48213662144000:
29 × 53 × 312 × 61 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 31 × 61 × 71 × 181)See below for interesting mathematical facts about the number 48213662144000 from the Numbermatics database.
Names of 48213662144000
- Cardinal: 48213662144000 can be written as Forty-eight trillion, two hundred thirteen billion, six hundred sixty-two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8213662144 × 1013
Factors of 48213662144000
Divisors of 48213662144000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 61 62 64 71 80 100 122 124 125 128 142 155 160 181 200 244 248 250 256 284 305 310 320 355 362 400 488 496 500 512 568 610 620 640 710 724 775 800 905 961 976 992 1000 1136 1220 1240 1280 1420 1448 1525 1550 1600 1775 1810 1891 1922 1952 1984 2000 2201 2272 2440 2480 2560 2840 2896 3050 3100 3200 3550 3620 3782 3844 3875 3904 3968 4000 4331 4402 4525 4544 4805 4880 4960 5611 5680 5792 6100 6200 6400 7100 7240 7564 7625 7688 7750 7808 7936 8000 8662 8804 8875 9050 9088 9455 9610 9760 9920 11005 11041 11222 11360 11584 12200 12400 12800 12851 14200 14480 15128 15250 15376 15500 15616 15872 16000 17324 17608 17750 18100 18176 18910 19220 19520 19840 21655 22010 22082 22444 22625 22720 23168 24025 24400 24800 25702 28055 28400 28960 30256 30500 30752 31000 31232 32000 34648 35216 35500 36200 36352 37820 38440 39040 39680 43310 44020 44164 44888 45250 45440 46336 47275 48050 48800 49600 51404 55025 55205 56110 56800 57920 58621 60512 61000 61504 62000 64000 64255 68231 69296 70432 71000 72400 75640 76880 78080 79360 86620 88040 88328 89776 90500 90880 92672 94550 96100 97600 99200 102808 108275 110050 110410 112220 113600 115840 117242 120125 121024 122000 123008 124000 128510 134261 136462 138592 140275 140864 142000 144800 151280 153760 156160 173240 173941 176080 176656 179552 181000 181760 189100 192200 195200 198400 205616 216550 220100 220820 224440 227200 231680 234484 236375 240250 242048 244000 246016 248000 257020 268522 272924 275125 276025 277184 280550 281728 284000 289600 293105 302560 307520 321275 341155 342271 346480 347882 352160 353312 359104 362000 378200 384400 390400 396800 398381 411232 433100 440200 441640 448880 454400 463360 468968 472750 480500 484096 488000 492032 496000 514040 537044 541375 545848 550250 552050 554368 561100 563456 568000 579200 586210 605120 615040 642550 671305 682310 684542 692960 695764 701375 704320 706624 718208 724000 756400 768800 780800 783911 796762 822464 866200 869705 880400 883280 897760 908800 937936 945500 961000 968192 976000 992000 1028080 1074088 1082750 1091696 1100500 1104100 1108736 1122200 1126912 1136000 1158400 1172420 1210240 1230080 1285100 1342610 1364620 1369084 1380125 1385920 1391528 1402750 1408640 1413248 1436416 1448000 1465525 1512800 1537600 1567822 1593524 1606375 1644928 1705775 1711355 1732400 1739410 1760800 1766560 1795520 1875872 1891000 1922000 1952000 1984000 1991905 2056160 2148176 2165500 2183392 2201000 2208200 2217472 2244400 2272000 2316800 2344840 2420480 2460160 2570200 2685220 2729240 2738168 2760250 2771840 2783056 2805500 2817280 2826496 2872832 2896000 2931050 3025600 3075200 3135644 3187048 3212750 3289856 3356525 3411550 3422710 3464800 3478820 3521600 3533120 3591040 3751744 3782000 3844000 3904000 3919555 3983810 4112320 4162091 4296352 4331000 4348525 4366784 4402000 4416400 4488800 4544000 4689680 4840960 5140400 5370440 5458480 5476336 5520500 5543680 5566112 5611000 5634560 5652992 5792000 5862100 6051200 6150400 6271288 6374096 6425500 6579712 6713050 6823100 6845420 6929600 6957640 7043200 7066240 7182080 7327625 7503488 7564000 7688000 7839110 7967620 8224640 8324182 8528875 8556775 8592704 8662000 8697050 8733568 8804000 8832800 8977600 9379360 9959525 10280800 10610401 10740880 10916960 10952672 11041000 11087360 11132224 11222000 11584000 11724200 12102400 12300800 12349811 12542576 12748192 12851000 13426100 13646200 13690840 13859200 13915280 14086400 14132480 14364160 14655250 15006976 15128000 15376000 15678220 15935240 16449280 16648364 16782625 17057750 17113550 17185408 17324000 17394100 17467136 17608000 17665600 17955200 18758720 19597775 19919050 20561600 20810455 21220802 21481760 21742625 21833920 21905344 22082000 22264448 22444000 23448400 24204800 24301241 24699622 25085152 25496384 25702000 26852200 27292400 27381680 27718400 27830560 28172800 28264960 29310500 30013952 30256000 30752000 31356440 31870480 32898560 33296728 33565250 34115500 34227100 34370816 34648000 34788200 34934272 35216000 35331200 35910400 37517440 39195550 39838100 41123200 41620910 42441604 42783875 42963520 43485250 43667840 43810688 44164000 44528896 44888000 46896800 48602482 49399244 49797625 50170304 50992768 51404000 53052005 53704400 54584800 54763360 55436800 55661120 58621000 60512000 61504000 61749055 62712880 63740960 66593456 67130500 68231000 68454200 68741632 69296000 69576400 70432000 70662400 71820800 75034880 78391100 79676200 82246400 83241820 84883208 85567750 85927040 86970500 87335680 87621376 88328000 89057792 89776000 93793600 97204964 97988875 98798488 99595250 100340608 101985536 102808000 104052275 106104010 107408800 109169600 109526720 111322240 117242000 121024000 121506205 123498110 125425760 127481920 133186912 134261000 136462000 136908400 138592000 139152800 140864000 141324800 150069760 156782200 159352400 164492800 166483640 169766416 171135500 171854080 173941000 174671360 175242752 176656000 179552000 187587200 194409928 195977750 197596976 199190500 200681216 203971072 205616000 208104550 212208020 214817600 218339200 219053440 222644480 234484000 243012410 246996220 250851520 254963840 265260025 266373824 268522000 272924000 273816800 277184000 278305600 308745275 313564400 318704800 332967280 339532832 342271000 343708160 347882000 353312000 359104000 375174400 388819856 391955500 395193952 398381000 401362432 411232000 416209100 424416040 429635200 436678400 438106880 445288960 468968000 486024820 493992440 501703040 509927680 520261375 530520050 532747648 537044000 545848000 547633600 556611200 607531025 617490550 627128800 637409600 665934560 679065664 684542000 695764000 706624000 750348800 753338471 777639712 783911000 790387904 796762000 822464000 832418200 848832080 859270400 873356800 876213760 937936000 972049640 987984880 1003406080 1019855360 1040522750 1061040100 1065495296 1074088000 1091696000 1095267200 1113222400 1215062050 1234981100 1254257600 1274819200 1326300125 1331869120 1358131328 1369084000 1391528000 1506676942 1543726375 1555279424 1567822000 1580775808 1593524000 1664836400 1697664160 1718540800 1875872000 1944099280 1975969760 2006812160 2081045500 2122080200 2130990592 2148176000 2183392000 2190534400 2226444800 2430124100 2469962200 2508515200 2549638400 2652600250 2663738240 2716262656 2738168000 2783056000 3013353884 3037655125 3087452750 3110558848 3135644000 3161551616 3187048000 3329672800 3395328320 3751744000 3766692355 3888198560 3951939520 4162091000 4244160400 4296352000 4366784000 4381068800 4860248200 4939924400 5017030400 5099276800 5305200500 5327476480 5432525312 5476336000 5566112000 6026707768 6075310250 6174905500 6221117696 6271288000 6323103232 6374096000 6659345600 6790656640 7533384710 7776397120 7903879040 8324182000 8488320800 8592704000 9720496400 9879848800 10034060800 10610401000 10654952960 10952672000 11132224000 12053415536 12150620500 12349811000 12442235392 12542576000 12748192000 13318691200 13581313280 15066769420 15552794240 15807758080 16648364000 16976641600 18833461775 19440992800 19759697600 21220802000 21905344000 24106831072 24301241000 24699622000 25085152000 25496384000 26637382400 27162626560 30133538840 31105588480 31615516160 33296728000 33953283200 37666923550 38881985600 39519395200 42441604000 48213662144 48602482000 49399244000 50170304000 53274764800 60267077680 62211176960 66593456000 67906566400 75333847100 77763971200 79038790400 84883208000 94167308875 96427324288 97204964000 98798488000 120534155360 133186912000 135813132800 150667694200 155527942400 158077580800 169766416000 188334617750 192854648576 194409928000 197596976000 241068310720 266373824000 301335388400 311055884800 339532832000 376669235500 385709297152 388819856000 395193952000 482136621440 602670776800 679065664000 753338471000 777639712000 790387904000 964273242880 1205341553600 1506676942000 1555279424000 1928546485760 2410683107200 3013353884000 4821366214400 6026707768000 9642732428800 12053415536000 24106831072000 48213662144000
- Sum of all divisors σ(n): 128749352764032
- Sum of proper divisors (its aliquot sum) s(n): 80535690620032
- 48213662144000 is an abundant number, because the sum of its proper divisors (80535690620032) is greater than itself. Its abundance is 32322028476032
Bases of 48213662144000
- Binary: 10101111011001100111100011010010010110000000002
- Hexadecimal: 0x2BD99E349600
- Base-36: H391TLMGW
Squares and roots of 48213662144000
- 48213662144000 squared (482136621440002) is 2324557217335778676736000000
- 48213662144000 cubed (482136621440003) is 112075416311024012923308896681984000000000
-
The
square root of 48213662144000 is 6943605.8459564075 -
The
cube root of 48213662144000 is 36396.2556386713
Scales and comparisons
How big is 48213662144000?- 48,213,662,144,000 seconds is equal to 1,533,045 years, 16 weeks, 5 days, 53 minutes, 20 seconds.
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To count from 1 to 48,213,662,144,000 would take you about three million, eight hundred thirty-two thousand, six hundred thirteen 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 48213662144000 cubic inches would be around 3033 feet tall.
Recreational maths with 48213662144000
- 48213662144000 backwards is 00044126631284
- The number of decimal digits it has is: 14
- The sum of 48213662144000's digits is 41
- More coming soon!
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The information we have on file for 48213662144000 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!
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