480368064000
480,368,064,000 is an even composite number composed of seven prime numbers multiplied together.
480368064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 480368064000:
29 × 3 × 53 × 112 × 23 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 23 × 29 × 31)See below for interesting mathematical facts about the number 480368064000 from the Numbermatics database.
Names of 480368064000
- Cardinal: 480368064000 can be written as Four hundred eighty billion, three hundred sixty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.80368064 × 1011
Factors of 480368064000
Divisors of 480368064000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 29 30 31 32 33 40 44 46 48 50 55 58 60 62 64 66 69 75 80 87 88 92 93 96 100 110 115 116 120 121 124 125 128 132 138 145 150 155 160 165 174 176 184 186 192 200 220 230 232 240 242 248 250 253 256 264 275 276 290 300 310 319 320 330 341 345 348 352 363 368 372 375 384 400 435 440 460 464 465 480 484 496 500 506 512 528 550 552 575 580 600 605 620 638 640 660 667 682 690 696 704 713 725 726 736 744 750 759 768 775 800 825 870 880 899 920 928 930 957 960 968 992 1000 1012 1023 1056 1100 1104 1150 1160 1200 1210 1240 1265 1276 1280 1320 1334 1364 1375 1380 1392 1408 1426 1450 1452 1472 1488 1500 1518 1536 1550 1595 1600 1650 1705 1725 1740 1760 1798 1815 1840 1856 1860 1914 1920 1936 1984 2000 2001 2024 2046 2112 2139 2175 2200 2208 2300 2320 2325 2400 2420 2480 2530 2552 2560 2640 2668 2697 2728 2750 2760 2783 2784 2816 2852 2875 2900 2904 2944 2976 3000 3025 3036 3100 3190 3200 3300 3335 3410 3450 3480 3509 3520 3565 3596 3625 3630 3680 3712 3720 3751 3795 3828 3840 3872 3875 3968 4000 4002 4048 4092 4125 4224 4278 4350 4400 4416 4495 4600 4640 4650 4785 4800 4840 4960 5060 5104 5115 5280 5336 5394 5456 5500 5520 5566 5568 5632 5704 5750 5800 5808 5888 5952 6000 6050 6072 6200 6325 6380 6400 6600 6670 6820 6900 6960 7018 7040 7130 7192 7250 7260 7337 7360 7424 7440 7502 7590 7656 7680 7744 7750 7843 7936 7975 8000 8004 8096 8184 8250 8349 8448 8525 8556 8625 8700 8800 8832 8990 9075 9200 9280 9300 9570 9600 9680 9889 9920 10005 10120 10208 10230 10527 10560 10672 10695 10788 10875 10912 11000 11040 11132 11136 11253 11408 11500 11600 11616 11625 11776 11904 12000 12100 12144 12400 12650 12760 12800 13200 13340 13485 13640 13800 13915 13920 14036 14080 14260 14384 14500 14520 14674 14720 14848 14880 15004 15125 15180 15312 15488 15500 15686 15872 15950 16000 16008 16192 16368 16500 16675 16698 16896 17050 17112 17250 17400 17545 17600 17664 17825 17980 18150 18400 18560 18600 18755 18975 19140 19200 19360 19778 19840 20010 20240 20416 20460 20677 21054 21120 21344 21390 21576 21750 21824 22000 22011 22080 22264 22272 22475 22506 22816 23000 23200 23232 23250 23529 23808 23925 24000 24200 24288 24800 25300 25520 25575 26400 26680 26970 27280 27600 27830 27840 28072 28160 28520 28768 29000 29040 29348 29440 29667 29760 30008 30250 30360 30624 30976 31000 31372 31625 31900 32000 32016 32384 32736 33000 33350 33396 34100 34224 34500 34800 35090 35200 35328 35650 35960 36300 36685 36800 37120 37200 37510 37950 38280 38400 38720 39215 39556 39680 39875 40020 40480 40832 40920 41354 41745 42108 42240 42625 42688 42780 43152 43500 43648 44000 44022 44160 44528 44544 44950 45012 45375 45632 46000 46400 46464 46500 47058 47616 47850 48000 48400 48576 49445 49600 50025 50600 51040 51150 52635 52800 53360 53475 53940 54560 55200 55660 55680 56144 56265 57040 57536 58000 58080 58696 58880 59334 59520 60016 60500 60720 61248 61952 62000 62031 62744 63250 63800 64000 64032 64768 65472 66000 66700 66792 67425 68200 68448 69000 69575 69600 70180 70400 71300 71920 72600 73370 73600 74240 74400 75020 75900 76560 77440 78430 79112 79360 79750 80040 80707 80960 81664 81840 82708 83375 83490 84216 84480 85250 85376 85560 86273 86304 87000 87296 87725 88000 88044 88320 89056 89125 89900 90024 90750 91264 92000 92800 92928 93000 93775 94116 94875 95700 96000 96800 97152 98890 99200 100050 101200 102080 102300 103385 105270 105600 106720 106950 107880 108779 109120 110055 110400 111320 111360 112288 112375 112530 114080 115072 116000 116160 117392 117645 118668 119040 119625 120032 121000 121440 122496 124000 124062 125488 126500 127600 127875 128064 129536 130944 132000 133400 133584 134850 136400 136896 138000 139150 139200 140360 140800 142600 143840 145200 146740 147200 148335 148800 150040 151800 153120 154880 156860 158224 159500 160080 161414 161920 163328 163680 165416 166750 166980 168432 170500 170752 171120 172546 172608 174000 174592 175450 176000 176088 176640 178112 178250 179800 180048 181500 182528 183425 184000 185600 185856 186000 187550 188232 189750 191400 192000 193600 194304 196075 197780 198400 200100 202400 204160 204600 206770 208725 210540 211200 213440 213900 215760 217558 218240 220110 220800 222640 222720 224576 224750 225060 227447 228160 230144 232000 232320 234784 235290 237336 238080 239250 240064 242000 242121 242880 244992 247225 248000 248124 250125 250976 253000 255200 255750 256128 258819 261888 263175 264000 266800 267168 267375 269700 272800 273792 276000 278300 278400 280720 281325 285200 287680 290400 293480 294400 296670 297600 300080 303600 306240 309760 310155 313720 316448 319000 320160 322828 323840 326337 327360 330832 333500 333960 336864 337125 341000 341504 342240 345092 345216 347875 348000 350900 352000 352176 356224 356500 359600 360096 363000 365056 366850 368000 371200 372000 375100 376464 379500 382800 387200 388608 392150 395560 396800 400200 403535 404800 408320 409200 413540 417450 421080 422400 426880 427800 431365 431520 435116 436480 438625 440220 441600 445280 449152 449500 450120 454894 456320 460288 464000 464640 468875 469568 470580 474672 478500 480128 484000 484242 485760 489984 494450 496000 496248 500250 501952 506000 510400 511500 512256 516925 517638 523776 526350 528000 533600 534336 534750 539400 543895 545600 547584 550275 552000 556600 556800 561440 562650 570400 575360 580800 586960 588225 593340 595200 600160 607200 612480 620310 627440 632896 638000 640320 645656 647680 652674 654720 661664 667000 667920 673728 674250 682000 682341 684480 690184 690432 695750 696000 701800 704000 704352 712448 713000 719200 720192 726000 733700 736000 741675 744000 750200 752928 759000 765600 774400 784300 791120 800400 807070 809600 816640 818400 827080 834900 842160 853760 855600 862730 863040 870232 872960 877250 880440 883200 890560 898304 899000 900240 909788 912640 917125 928000 929280 937750 939136 941160 949344 957000 960256 968000 968484 971520 980375 988900 992000 992496 1000500 1003904 1012000 1020800 1023000 1024512 1033850 1035276 1043625 1052700 1056000 1067200 1068672 1069500 1078800 1087790 1091200 1095168 1100550 1104000 1113200 1113600 1122880 1125300 1137235 1140800 1150720 1161600 1173920 1176450 1186680 1190400 1200320 1210605 1214400 1224960 1236125 1240620 1254880 1265792 1276000 1280640 1291312 1294095 1305348 1309440 1315875 1323328 1334000 1335840 1347456 1348500 1364000 1364682 1368960 1380368 1380864 1391500 1392000 1403600 1406625 1408704 1424896 1426000 1438400 1440384 1452000 1467400 1472000 1483350 1488000 1500400 1505856 1518000 1531200 1548800 1550775 1568600 1582240 1600800 1614140 1619200 1631685 1636800 1654160 1669800 1684320 1707520 1711200 1725460 1726080 1740464 1754500 1760880 1781120 1796608 1798000 1800480 1819576 1825280 1834250 1856000 1875500 1878272 1882320 1898688 1914000 1920512 1936000 1936968 1943040 1960750 1977800 1984000 1984992 2001000 2007808 2017675 2024000 2041600 2046000 2067700 2070552 2087250 2105400 2112000 2134400 2137344 2139000 2156825 2157600 2175580 2182400 2201100 2208000 2226400 2245760 2250600 2274470 2281600 2301440 2323200 2347840 2352900 2373360 2400640 2421210 2428800 2449920 2472250 2481240 2501917 2509760 2531584 2552000 2561280 2582624 2584625 2588190 2610696 2618880 2631750 2646656 2668000 2671680 2694912 2697000 2719475 2728000 2729364 2737920 2751375 2760736 2783000 2784000 2807200 2813250 2817408 2852000 2876800 2880768 2904000 2934800 2941125 2966700 2976000 3000800 3011712 3036000 3062400 3101550 3137200 3164480 3201600 3228280 3238400 3263370 3273600 3308320 3339600 3368640 3411705 3422400 3450920 3452160 3480928 3509000 3521760 3562240 3596000 3600960 3639152 3668500 3708375 3751000 3756544 3764640 3797376 3828000 3872000 3873936 3921500 3955600 3969984 4002000 4015616 4035350 4048000 4083200 4092000 4135400 4141104 4174500 4210800 4268800 4274688 4278000 4313650 4315200 4351160 4364800 4402200 4416000 4452800 4491520 4501200 4548940 4563200 4646400 4695680 4705800 4746720 4801280 4842420 4857600 4944500 4962480 5003834 5019520 5063168 5104000 5122560 5165248 5169250 5176380 5221392 5263500 5293312 5336000 5343360 5389824 5394000 5438950 5456000 5458728 5475840 5502750 5521472 5566000 5568000 5614400 5626500 5634816 5686175 5704000 5753600 5761536 5808000 5869600 5882250 5933400 5952000 6001600 6023424 6053025 6072000 6124800 6203100 6274400 6328960 6403200 6456560 6470475 6526740 6547200 6616640 6679200 6737280 6823410 6844800 6901840 6904320 6961856 7018000 7043520 7124480 7192000 7201920 7278304 7337000 7416750 7502000 7505751 7529280 7594752 7656000 7744000 7747872 7753875 7843000 7911200 7939968 8004000 8070700 8096000 8158425 8184000 8270800 8282208 8349000 8421600 8537600 8556000 8627300 8630400 8702320 8804400 8905600 8983040 9002400 9097880 9126400 9391360 9411600 9493440 9602560 9684840 9715200 9889000 9924960 10007668 10039040 10088375 10208000 10330496 10338500 10352760 10442784 10527000 10586624 10672000 10686720 10784125 10788000 10877900 10912000 10917456 11005500 11042944 11132000 11228800 11253000 11269632 11372350 11408000 11507200 11616000 11739200 11764500 11866800 12003200 12046848 12106050 12144000 12249600 12406200 12509585 12548800 12657920 12806400 12913120 12940950 13053480 13094400 13233280 13358400 13474560 13597375 13646820 13689600 13803680 13923712 14036000 14087040 14384000 14403840 14556608 14674000 14833500 15004000 15011502 15058560 15189504 15312000 15495744 15507750 15686000 15822400 15879936 16008000 16141400 16192000 16316850 16368000 16541600 16564416 16698000 16843200 17058525 17112000 17254600 17260800 17404640 17608800 17811200 18004800 18195760 18782720 18823200 18986880 19369680 19778000 19849920 20015336 20078080 20176750 20416000 20660992 20677000 20705520 20885568 21054000 21344000 21373440 21568250 21576000 21755800 21824000 21834912 22011000 22085888 22264000 22457600 22506000 22744700 22816000 23232000 23478400 23529000 23733600 24006400 24212100 24288000 24812400 25019170 25097600 25315840 25612800 25826240 25881900 26106960 26466560 26716800 26949120 27194750 27293640 27379200 27607360 27847424 28072000 28174080 28430875 28768000 28807680 29113216 29348000 29667000 30008000 30023004 30117120 30265125 30624000 30991488 31015500 31372000 31644800 31759872 32016000 32282800 32352375 32633700 32736000 33083200 33128832 33396000 33686400 34117050 34224000 34509200 34521600 34809280 35217600 35622400 36009600 36391520 37528755 37646400 37973760 38739360 39556000 39699840 40030672 40353500 40792125 41321984 41354000 41411040 41771136 42108000 42688000 43136500 43152000 43511600 43669824 44022000 44171776 44528000 44915200 45012000 45489400 45632000 46956800 47058000 47467200 48012800 48424200 48576000 49624800 50038340 50195200 51652480 51763800 52213920 52933120 53433600 54389500 54587280 55214720 55694848 56144000 56348160 56861750 57536000 58226432 58696000 59334000 60016000 60046008 60234240 60530250 61248000 61982976 62031000 62547925 62744000 63289600 64032000 64565600 64704750 65267400 65472000 66166400 66257664 66792000 67372800 68234100 68448000 69018400 69618560 70435200 72019200 72783040 75057510 75292800 75947520 77478720 79112000 79399680 80061344 80707000 81584250 82708000 82822080 83542272 84216000 85292625 86273000 86304000 87023200 87339648 88044000 89056000 90024000 90978800 93913600 94116000 94934400 96848400 99249600 100076680 100390400 103304960 103527600 104427840 106867200 108779000 109174560 110429440 112288000 113723500 116452864 117392000 118668000 120032000 120092016 121060500 123965952 124062000 125095850 125488000 126579200 128064000 129131200 129409500 130534800 132332800 132515328 133584000 134745600 136468200 136896000 138036800 139237120 140870400 144038400 145566080 150115020 150585600 154957440 158224000 158799360 160122688 161414000 163168500 165416000 165644160 167084544 168432000 170585250 172546000 172608000 174046400 174679296 176088000 178112000 180048000 181957600 187643775 188232000 189868800 193696800 198499200 200153360 206609920 207055200 208855680 217558000 218349120 220858880 224576000 227447000 234784000 237336000 240064000 240184032 242121000 248124000 250191700 250976000 258262400 258819000 261069600 264665600 267168000 272936400 276073600 278474240 281740800 291132160 300230040 301171200 309914880 312739625 316448000 320245376 322828000 326337000 330832000 331288320 336864000 341170500 345092000 348092800 349358592 352176000 360096000 363915200 375287550 376464000 379737600 387393600 396998400 400306720 414110400 417711360 435116000 436698240 454894000 469568000 474672000 480368064 484242000 496248000 500383400 501952000 516524800 517638000 522139200 534336000 545872800 552147200 582264320 600460080 619829760 625479250 632896000 640490752 645656000 652674000 661664000 662576640 673728000 682341000 690184000 696185600 704352000 720192000 727830400 750575100 752928000 774787200 793996800 800613440 828220800 835422720 870232000 873396480 909788000 938218875 949344000 960736128 968484000 992496000 1000766800 1033049600 1035276000 1044278400 1091745600 1104294400 1200920160 1250958500 1280981504 1291312000 1305348000 1323328000 1364682000 1380368000 1392371200 1408704000 1455660800 1501150200 1505856000 1549574400 1601226880 1656441600 1740464000 1746792960 1819576000 1876437750 1898688000 1921472256 1936968000 1984992000 2001533600 2070552000 2088556800 2183491200 2401840320 2501917000 2582624000 2610696000 2729364000 2760736000 2911321600 3002300400 3099148800 3202453760 3312883200 3480928000 3639152000 3752875500 3842944512 3873936000 3969984000 4003067200 4141104000 4177113600 4366982400 4803680640 5003834000 5165248000 5221392000 5458728000 5521472000 6004600800 6404907520 6961856000 7278304000 7505751000 7747872000 8006134400 8282208000 8733964800 9607361280 10007668000 10442784000 10917456000 12009201600 14556608000 15011502000 15495744000 16012268800 16564416000 19214722560 20015336000 20885568000 21834912000 24018403200 30023004000 32024537600 40030672000 43669824000 48036806400 60046008000 80061344000 96073612800 120092016000 160122688000 240184032000 480368064000
- Sum of all divisors σ(n): 1956114800640
- Sum of proper divisors (its aliquot sum) s(n): 1475746736640
- 480368064000 is an abundant number, because the sum of its proper divisors (1475746736640) is greater than itself. Its abundance is 995378672640
Bases of 480368064000
- Binary: 1101111110110000010101011110110000000002
- Hexadecimal: 0x6FD82AF600
- Base-36: 64OEQQDC
Squares and roots of 480368064000
- 480368064000 squared (4803680640002) is 230753476911108096000000
- 480368064000 cubed (4803680640003) is 110846600965057696170246144000000000
-
The
square root of 480368064000 is 693085.8994381575 -
The
cube root of 480368064000 is 7831.7360513665
Scales and comparisons
How big is 480368064000?- 480,368,064,000 seconds is equal to 15,274 years, 11 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 480,368,064,000 would take you about thirty thousand, five hundred forty-eight 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 480368064000 cubic inches would be around 652.6 feet tall.
Recreational maths with 480368064000
- 480368064000 backwards is 000460863084
- The number of decimal digits it has is: 12
- The sum of 480368064000's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 480368064000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 480368064000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/480368064000/
Chicago style:
Numbermatics. 2024. "Number 480368064000 - Facts about the integer". https://numbermatics.com/n/480368064000/
The information we have on file for 480368064000 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 480368064000, math, Factors of 480368064000, curriculum, school, college, exams, university, Prime factorization of 480368064000, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty billion, three hundred sixty-eight million, sixty-four thousand.