48768384915456000
48,768,384,915,456,000 is an even composite number composed of five prime numbers multiplied together.
48768384915456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 48768384915456000:
214 × 3 × 53 × 414 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 41 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 48768384915456000 from the Numbermatics database.
Names of 48768384915456000
- Cardinal: 48768384915456000 can be written as Forty-eight quadrillion, seven hundred sixty-eight trillion, three hundred eighty-four billion, nine hundred fifteen million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 4.8768384915456 × 1016
Factors of 48768384915456000
Divisors of 48768384915456000
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 53 60 64 75 80 82 96 100 106 120 123 125 128 150 159 160 164 192 200 205 212 240 246 250 256 265 300 318 320 328 375 384 400 410 424 480 492 500 512 530 600 615 636 640 656 750 768 795 800 820 848 960 984 1000 1024 1025 1060 1200 1230 1272 1280 1312 1325 1500 1536 1590 1600 1640 1681 1696 1920 1968 2000 2048 2050 2120 2173 2400 2460 2544 2560 2624 2650 2809 3000 3072 3075 3180 3200 3280 3362 3392 3840 3936 3975 4000 4096 4100 4240 4346 4800 4920 5043 5088 5120 5125 5248 5300 5618 6000 6144 6150 6360 6400 6519 6560 6625 6724 6784 7680 7872 7950 8000 8192 8200 8405 8427 8480 8692 9600 9840 10086 10176 10240 10250 10496 10600 10865 11236 12000 12288 12300 12720 12800 13038 13120 13250 13448 13568 14045 15360 15375 15744 15900 16000 16384 16400 16810 16854 16960 17384 19200 19680 19875 20172 20352 20480 20500 20992 21200 21730 22472 24000 24576 24600 25215 25440 25600 26076 26240 26500 26896 27136 28090 30720 30750 31488 31800 32000 32595 32800 33620 33708 33920 34768 38400 39360 39750 40344 40704 40960 41000 41984 42025 42135 42400 43460 44944 48000 49152 49200 50430 50880 51200 52152 52480 53000 53792 54272 54325 56180 61440 61500 62976 63600 64000 65190 65600 67240 67416 67840 68921 69536 70225 76800 78720 79500 80688 81408 81920 82000 83968 84050 84270 84800 86920 89093 89888 96000 98400 100860 101760 102400 104304 104960 106000 107584 108544 108650 112360 115169 122880 123000 125952 126075 127200 128000 130380 131200 134480 134832 135680 137842 139072 140450 153600 157440 159000 161376 162816 162975 164000 167936 168100 168540 169600 173840 178186 179776 192000 196800 201720 203520 204800 206763 208608 209920 210125 210675 212000 215168 217088 217300 224720 230338 245760 246000 251904 252150 254400 256000 260760 262400 267279 268960 269664 271360 271625 275684 278144 280900 307200 314880 318000 322752 325632 325950 328000 335872 336200 337080 339200 344605 345507 347680 351125 356372 359552 384000 393600 403440 407040 409600 413526 417216 419840 420250 421350 424000 430336 434176 434600 445465 449440 460676 492000 503808 504300 508800 512000 521520 524800 534558 537920 539328 542720 543250 551368 556288 561800 575845 614400 629760 630375 636000 645504 651264 651900 656000 671744 672400 674160 678400 689210 691014 695360 702250 712744 719104 768000 787200 806880 814080 814875 827052 834432 839680 840500 842700 848000 860672 868352 869200 890930 898880 921352 984000 1007616 1008600 1017600 1024000 1033815 1043040 1049600 1053375 1069116 1075840 1078656 1085440 1086500 1102736 1112576 1123600 1151690 1228800 1259520 1260750 1272000 1291008 1302528 1303800 1312000 1336395 1344800 1348320 1356800 1378420 1382028 1390720 1404500 1425488 1438208 1536000 1574400 1613760 1628160 1629750 1654104 1668864 1679360 1681000 1685400 1696000 1721344 1723025 1727535 1738400 1781860 1797760 1842704 1968000 2015232 2017200 2035200 2048000 2067630 2086080 2099200 2106750 2138232 2151680 2157312 2170880 2173000 2205472 2225152 2227325 2247200 2303380 2519040 2521500 2544000 2582016 2605056 2607600 2624000 2672790 2689600 2696640 2713600 2756840 2764056 2781440 2809000 2825761 2850976 2876416 2879225 3072000 3148800 3227520 3256320 3259500 3308208 3337728 3358720 3362000 3370800 3392000 3442688 3446050 3455070 3476800 3563720 3595520 3652813 3685408 3936000 4034400 4070400 4135260 4172160 4198400 4213500 4276464 4303360 4314624 4341760 4346000 4410944 4450304 4454650 4494400 4606760 4721929 5038080 5043000 5088000 5164032 5169075 5215200 5248000 5345580 5379200 5393280 5427200 5513680 5528112 5562880 5618000 5651522 5701952 5752832 5758450 6144000 6297600 6455040 6512640 6519000 6616416 6675456 6681975 6724000 6741600 6784000 6885376 6892100 6910140 6953600 7127440 7191040 7305626 7370816 7872000 8068800 8140800 8270520 8344320 8396800 8427000 8477283 8552928 8606720 8615125 8629248 8637675 8692000 8821888 8900608 8909300 8988800 9213520 9443858 10076160 10086000 10176000 10328064 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613438803968 619517084800 635005011920 694459023360 701340096000 707598336000 718873598400 723394816000 725288294400 743420501760 748096102400 762006014304 766798504960 774396356000 792981868544 793756264900 868073779200 897715322880 898591998000 906610368000 920158205952 929275627200 935120128000 952507517880 958498131200 967051059200 991227335680 992195331125 1016008019072 1085092224000 1122144153600 1150197757440 1157431705600 1160461271040 1161594534000 1189472802816 1190634397350 1198122664000 1208813824000 1226877607936 1239034169600 1270010023840 1402680192000 1437747196800 1446789632000 1450576588800 1486841003520 1496192204800 1524012028608 1533597009920 1548792712000 1585963737088 1587512529800 1736147558400 1797183996000 1813220736000 1840316411904 1858551254400 1870240256000 1905015035760 1916996262400 1934102118400 1982454671360 1984390662250 2032016038144 2170184448000 2244288307200 2300395514880 2323189068000 2378945605632 2381268794700 2396245328000 2417627648000 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12390341696000 12700100238400 14377471968000 14505765888000 14868410035200 15240120286080 15335970099200 15859637370880 15875125298000 16256128305152 17361475584000 18403164119040 18585512544000 19050150357600 19169962624000 19824546713600 20320160381440 22442883072000 23003955148800 23789456056320 23812687947000 24384192457728 24780683392000 25400200476800 28754943936000 29011531776000 29736820070400 30480240572160 30671940198400 31750250596000 32512256610304 36806328238080 37171025088000 38100300715200 38339925248000 39649093427200 40640320762880 46007910297600 47578912112640 47625375894000 48768384915456 49561366784000 50800400953600 57509887872000 59473640140800 60960481144320 61343880396800 63500501192000 65024513220608 74342050176000 76200601430400 76679850496000 79298186854400 81280641525760 92015820595200 95250751788000 97536769830912 99122733568000 101600801907200 115019775744000 118947280281600 121920962288640 127001002384000 130049026441216 148684100352000 152401202860800 153359700992000 162561283051520 184031641190400 190501503576000 195073539661824 198245467136000 203201603814400 230039551488000 237894560563200 243841924577280 254002004768000 297368200704000 304802405721600 306719401984000 325122566103040 381003007152000 390147079323648 396490934272000 406403207628800 460079102976000 487683849154560 508004009536000 594736401408000 609604811443200 650245132206080 762006014304000 812806415257600 920158205952000 975367698309120 1016008019072000 1189472802816000 1219209622886400 1524012028608000 1625612830515200 1950735396618240 2032016038144000 2438419245772800 3048024057216000 3251225661030400 4064032076288000 4876838491545600 6096048114432000 8128064152576000 9753676983091200 12192096228864000 16256128305152000 24384192457728000 48768384915456000
- Sum of all divisors σ(n): 169551605835459120
- Sum of proper divisors (its aliquot sum) s(n): 120783220920003120
- 48768384915456000 is an abundant number, because the sum of its proper divisors (120783220920003120) is greater than itself. Its abundance is 72014836004547120
Bases of 48768384915456000
- Binary: 101011010100001010010110011100110010011111000000000000002
- Hexadecimal: 0xAD42967327C000
- Base-36: DC6Y6QOA0AO
Squares and roots of 48768384915456000
- 48768384915456000 squared (487683849154560002) is 2378355367262076324267687936000000
- 48768384915456000 cubed (487683849154560003) is 115988550016377657911466467563815951138816000000000
-
The
square root of 48768384915456000 is 220835651.3687407313 -
The
cube root of 48768384915456000 is 365353.0952672053
Scales and comparisons
How big is 48768384915456000?- 48,768,384,915,456,000 seconds is equal to 1,550,683,789 years, 41 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 48,768,384,915,456,000 would take you about four billion, six hundred fifty-two million, fifty-one thousand, three hundred sixty-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 48768384915456000 cubic inches would be around 30446.1 feet tall.
Recreational maths with 48768384915456000
- 48768384915456000 backwards is 00065451948386784
- The number of decimal digits it has is: 17
- The sum of 48768384915456000's digits is 78
- More coming soon!
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"Number 48768384915456000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 48768384915456000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/48768384915456000/
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The information we have on file for 48768384915456000 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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