48201208742016
48,201,208,742,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 48201208742016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
48201208742016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 48201208742016:
27 × 37 × 11 × 192 × 131 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 19 × 19 × 131 × 331)See below for interesting mathematical facts about the number 48201208742016 from the Numbermatics database.
Names of 48201208742016
- Cardinal: 48201208742016 can be written as Forty-eight trillion, two hundred one billion, two hundred eight million, seven hundred forty-two thousand and sixteen.
Scientific notation
- Scientific notation: 4.8201208742016 × 1013
Factors of 48201208742016
Divisors of 48201208742016
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 81 88 96 99 108 114 128 131 132 144 152 162 171 176 192 198 209 216 228 243 262 264 288 297 304 324 331 342 352 361 384 393 396 418 432 456 486 513 524 528 576 594 608 627 648 662 684 704 722 729 786 792 836 864 891 912 972 993 1026 1048 1056 1083 1152 1179 1188 1216 1254 1296 1324 1368 1408 1441 1444 1458 1539 1572 1584 1672 1728 1782 1824 1881 1944 1986 2052 2096 2112 2166 2187 2358 2376 2432 2489 2508 2592 2648 2673 2736 2882 2888 2916 2979 3078 3144 3168 3249 3344 3456 3537 3564 3641 3648 3762 3888 3971 3972 4104 4192 4224 4323 4332 4374 4617 4716 4752 4978 5016 5184 5296 5346 5472 5643 5764 5776 5832 5958 6156 6288 6289 6336 6498 6688 7074 7128 7282 7296 7467 7524 7776 7942 7944 8019 8208 8384 8646 8664 8748 8937 9234 9432 9504 9747 9956 10032 10368 10592 10611 10692 10923 10944 11286 11528 11552 11664 11913 11916 12312 12576 12578 12672 12969 12996 13376 13851 14148 14256 14564 14934 15048 15552 15884 15888 16038 16416 16768 16929 17292 17328 17496 17874 18468 18864 18867 19008 19494 19912 20064 21184 21222 21384 21846 21888 22401 22572 23056 23104 23328 23826 23832 24057 24624 25152 25156 25938 25992 26752 26811 27379 27702 28296 28512 29128 29241 29868 30096 31104 31768 31776 31833 32076 32769 32832 33858 34584 34656 34992 35739 35748 36936 37728 37734 38016 38907 38988 39824 40128 41553 42368 42444 42768 43361 43692 44802 45144 46112 46208 46656 47291 47652 47664 48114 49248 50304 50312 50787 51876 51984 53622 54758 55404 56592 56601 57024 58256 58482 59736 60192 63536 63552 63666 64152 65538 65664 67203 67716 69168 69179 69312 69984 71478 71496 73872 75456 75468 77814 77976 79648 80256 80433 82137 83106 84888 85536 86722 87384 87723 89604 90288 92224 93312 94582 95304 95328 95499 96228 98307 98496 100624 101574 103752 103968 107217 107244 109516 110808 113184 113202 114048 116512 116721 116964 119472 119491 120384 127072 127104 127332 128304 130083 131076 134406 135432 138336 138358 138624 139968 141873 142956 142992 147744 150912 150936 152361 155628 155952 159296 160866 164274 166212 169776 169803 171072 173444 174768 175446 179208 180576 184448 189164 190608 190656 190998 192456 196614 196992 201248 201609 203148 207504 207537 207936 214434 214488 219032 221616 226368 226404 233024 233442 233928 238944 238982 240768 241299 246411 254144 254664 256608 260166 262152 263169 268812 270864 276672 276716 279936 283746 285912 285984 286497 294921 295488 301872 304722 311256 311904 318592 321651 321732 328548 332424 339552 339606 342144 346888 349536 350163 350892 358416 358473 361152 378328 381216 381312 381996 384912 390249 393228 402496 403218 406296 415008 415074 415872 425619 428868 428976 438064 443232 452736 452808 457083 466048 466884 467856 476971 477888 477964 482598 492822 508288 509328 509409 513216 520201 520332 524304 526338 537624 541728 553344 553432 567492 571824 571968 572994 589842 590976 603744 604827 609444 622512 622611 623808 643302 643464 657096 664848 679104 679212 693776 699072 700326 701784 716832 716946 722304 723897 739233 756656 762432 763992 769824 780498 786456 789507 804992 806436 812592 823859 830016 830148 851238 857736 857952 876128 884763 886464 905616 914166 933768 935712 953942 955776 955928 964953 965196 985644 1018656 1018818 1026432 1040402 1040664 1048608 1050489 1052676 1075248 1075419 1083456 1106864 1134984 1143648 1143936 1145988 1170747 1179684 1207488 1209654 1218888 1245024 1245222 1247616 1276857 1286604 1286928 1314192 1314401 1329696 1358208 1358424 1387552 1398144 1400652 1403568 1430913 1433664 1433892 1447794 1478466 1513312 1524864 1527984 1528227 1539648 1560603 1560996 1572912 1579014 1612872 1625184 1647718 1660032 1660296 1702476 1715472 1715904 1752256 1769526 1772928 1811232 1814481 1828332 1867536 1867833 1871424 1907884 1911856 1929906 1930392 1971288 2037312 2037636 2080804 2081328 2097216 2100978 2105352 2150496 2150838 2166912 2213728 2217699 2269968 2287296 2291976 2341494 2359368 2414976 2419308 2437776 2471577 2490048 2490444 2553714 2573208 2573856 2628384 2628802 2654289 2659392 2716848 2775104 2801304 2807136 2861826 2867328 2867784 2894859 2895588 2956932 3026624 3055968 3056454 3079296 3121206 3121992 3145824 3151467 3158028 3225744 3226257 3250368 3295436 3320592 3404952 3430944 3431808 3504512 3512241 3539052 3622464 3628962 3656664 3735072 3735666 3742848 3815768 3823712 3830571 3859812 3860784 3942576 3943203 4074624 4075272 4161608 4162656 4194432 4201956 4210704 4292739 4300992 4301676 4427456 4435398 4539936 4574592 4583952 4584681 4681809 4682988 4718736 4838616 4875552 4943154 4980096 4980888 5107428 5146416 5147712 5256768 5257604 5308578 5318784 5433696 5443443 5550208 5602608 5603499 5614272 5723652 5735568 5789718 5791176 5913864 6053248 6111936 6112908 6242412 6243984 6291648 6302934 6316056 6451488 6452514 6500736 6590872 6641184 6653097 6809904 6861888 7024482 7078104 7244928 7257924 7313328 7414731 7470144 7471332 7631536 7647424 7661142 7719624 7721568 7885152 7886406 7962867 8150544 8323216 8325312 8403912 8421408 8585478 8601984 8603352 8684577 8854912 8870796 9062449 9079872 9167904 9169362 9363618 9365976 9437472 9677232 9678771 9751104 9886308 9961776 10214856 10292832 10295424 10513536 10515208 10536723 10617156 10867392 10886886 11205216 11206998 11228544 11447304 11471136 11491713 11579436 11582352 11827728 11829609 12223872 12225816 12484824 12487968 12583296 12605868 12632112 12878217 12902976 12905028 13181744 13282368 13306194 13619808 13723776 13754043 14045427 14048964 14156208 14515848 14626656 14829462 14940288 14942664 15263072 15294848 15322284 15439248 15443136 15653321 15770304 15772812 15925734 16301088 16646432 16650624 16807824 16810497 16842816 17170956 17206704 17369154 17741592 18124898 18159744 18335808 18338724 18727236 18731952 18874944 19354464 19357542 19502208 19772616 19923552 19959291 20429712 20585664 21030416 21073446 21234312 21734784 21773772 22244193 22410432 22413996 22894608 22942272 22983426 23158872 23164704 23655456 23659218 24451632 24969648 24975936 25211736 25264224 25756434 25805952 25810056 26363488 26564736 26612388 27187347 27239616 27508086 28090854 28097928 28312416 29031696 29036313 29253312 29658924 29885328 30526144 30644568 30878496 30886272 31306642 31540608 31545624 31610169 31851468 32602176 33292864 33615648 33620994 33685632 34341912 34413408 34475139 34738308 35483184 35488827 36249796 36671616 36677448 37454472 37463904 37749888 38634651 38708928 38715084 39545232 39847104 39918582 40859424 41171328 42060832 42136281 42146892 42468624 43547544 44488386 44820864 44827992 45789216 45884544 45966852 46317744 46329408 46959963 47310912 47318436 48903264 49939296 49951872 50423472 50431491 50528448 51512868 51620112 52726976 53224776 54374694 54479232 55016172 56181708 56195856 56624832 58063392 58072626 58506624 59317848 59770656 59877873 61052288 61289136 61756992 62613284 63091248 63220338 63702936 65204352 66585728 66732579 67231296 67241988 68683824 68826816 68950278 69476616 70966368 70977654 72499592 73354896 74908944 74927808 77269302 77417856 77430168 79090464 79694208 79837164 81562041 81718848 84121664 84272562 84293784 84937248 87095088 87108939 88976772 89655984 91578432 91933704 92635488 92658816 93919926 94621824 94636872 94830507 97806528 99878592 100846944 100862982 101056896 103025736 103240224 103425417 105453952 106449552 106466481 108749388 110032344 112363416 112391712 113249664 115903953 116126784 116145252 118635696 119541312 119755746 122578272 123513984 125226568 126182496 126408843 126440676 127405872 133465158 134462592 134483976 137367648 137653632 137900556 138953232 140879889 141932736 141955308 144999184 146709792 149817888 149855616 151294473 154538604 154860336 158180928 159674328 163124082 163437696 168243328 168545124 168587568 169874496 172186531 174190176 174217878 177953544 179311968 183156864 183867408 185270976 187839852 189273744 189661014 195613056 199757184 200197737 201693888 201725964 206051472 206480448 206850834 212899104 212932962 217498776 220064688 224726832 224783424 231807906 232253568 232290504 237271392 239082624 239511492 244686123 245156544 250453136 252364992 252817686 252881352 254811744 261326817 266930316 268967952 274735296 275801112 277906464 281759778 283865472 283910616 289998368 293419584 299635776 302588946 309077208 309720672 316361856 319348656 319399443 326248164 337090248 337175136 339748992 344373062 347711859 348380352 348435756 355907088 358623936 367734816 370541952 375679704 378547488 379226529 379322028 400395474 403387776 403451928 412102944 412960896 413701668 422639667 425798208 425865924 434997552 440129376 449453664 449566848 463615812 464581008 474542784 479022984 489372246 490313088 500906272 504729984 505635372 505762704 509623488 516559593 522653634 533860632 537935904 549470592 551602224 555812928 563519556 567821232 579996736 586839168 599271552 600593211 605177892 618154416 619441344 638697312 638798886 652496328 674180496 674350272 688746124 695423718 696760704 696871512 711814176 717247872 734058369 735469632 751359408 757094976 758453058 758644056 800790948 806903856 824205888 827403336 845279334 851596416 851731848 869995104 880258752 898907328 927231624 929162016 949085568 958045968 958198329 978744492 1001812544 1011270744 1011525408 1019246976 1033119186 1043135577 1045307268 1067721264 1075871808 1103204448 1111625856 1127039112 1135642464 1137679587 1159993472 1201186422 1210355784 1236308832 1238882688 1267919001 1277394624 1277597772 1304992656 1348360992 1348700544 1377492248 1390847436 1393743024 1423628352 1468116738 1470939264 1502718816 1514189952 1516906116 1517288112 1549678779 1601581896 1613807712 1648411776 1654806672 1690558668 1703463696 1739990208 1760517504 1797814656 1801779633 1854463248 1858324032 1916091936 1916396658 1957488984 2003625088 2022541488 2023050816 2066238372 2086271154 2090614536 2135442528 2151743616 2202175107 2206408896 2254078224 2271284928 2275359174 2402372844 2420711568 2472617664 2535838002 2554789248 2555195544 2609985312 2696721984 2754984496 2781694872 2787486048 2847256704 2874594987 2936233476 3005437632 3033812232 3034576224 3099357558 3203163792 3227615424 3309613344 3381117336 3406927392 3479980416 3603559266 3708926496 3716648064 3803757003 3832183872 3832793316 3914977968 4045082976 4046101632 4132476744 4172542308 4181229072 4270885056 4404350214 4412817792 4508156448 4542569856 4550718348 4649036337 4804745688 4841423136 4945235328 5071676004 5110391088 5219970624 5393443968 5509968992 5563389744 5574972096 5749189974 5872466952 6010875264 6067624464 6069152448 6198715116 6406327584 6455230848 6606525321 6619226688 6762234672 6813854784 7207118532 7417852992 7607514006 7664367744 7665586632 7829955936 8090165952 8264953488 8345084616 8362458144 8541770112 8808700428 9016312896 9101436696 9298072674 9609491376 9682846272 10143352008 10220782176 10439941248 11019937984 11126779488 11149944192 11411271009 11498379948 11744933904 12135248928 12138304896 12397430232 12812655168 13213050642 13238453376 13524469344 13627709568 13947109011 14414237064 14835705984 15215028012 15331173264 15659911872 16180331904 16529906976 16690169232 16724916288 17617400856 18032625792 18202873392 18596145348 19218982752 19365692544 19819575963 20286704016 20441564352 22039875968 22253558976 22822542018 22996759896 23489867808 24270497856 24794860464 25625310336 26426101284 27048938688 27894218022 28828474128 30430056024 30662346528 31319823744 33059813952 33380338464 33449832576 34233813027 35234801712 36405746784 37192290696 38437965504 39639151926 40573408032 40883128704 41841327033 44507117952 45645084036 45993519792 46979735616 48540995712 49589720928 52852202568 54097877376 55788436044 57656948256 60860112048 61324693056 66119627904 66760676928 68467626054 70469603424 72811493568 74384581392 76875931008 79278303852 81146816064 83682654066 91290168072 91987039584 93959471232 99179441856 105704405136 111576872088 115313896512 121720224096 122649386112 125523981099 133521353856 136935252108 140939206848 145622987136 148769162784 158556607704 162293632128 167365308132 182580336144 183974079168 198358883712 211408810272 223153744176 230627793024 243440448192 251047962198 273870504216 281878413696 297538325568 317113215408 334730616264 365160672288 367948158336 376571943297 422817620544 446307488352 486880896384 502095924396 547741008432 595076651136 634226430816 669461232528 730321344576 753143886594 845635241088 892614976704 1004191848792 1095482016864 1268452861632 1338922465056 1460642689152 1506287773188 1785229953408 2008383697584 2190964033728 2536905723264 2677844930112 3012575546376 4016767395168 4381928067456 5355689860224 6025151092752 8033534790336 12050302185504 16067069580672 24100604371008 48201208742016
- Sum of all divisors σ(n): 167583887539200
- Sum of proper divisors (its aliquot sum) s(n): 119382678797184
- 48201208742016 is an abundant number, because the sum of its proper divisors (119382678797184) is greater than itself. Its abundance is 71181470055168
Bases of 48201208742016
- Binary: 10101111010110101101111110110011000000100000002
- Hexadecimal: 0x2BD6B7ECC080
- Base-36: H33BV6000
Squares and roots of 48201208742016
- 48201208742016 squared (482012087420162) is 2323356524191399661243744256
- 48201208742016 cubed (482012087420163) is 111988592804674401537144866619699385860096
-
The
square root of 48201208742016 is 6942709.0348088187 -
The
cube root of 48201208742016 is 36393.1216982591
Scales and comparisons
How big is 48201208742016?- 48,201,208,742,016 seconds is equal to 1,532,649 years, 17 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 48,201,208,742,016 would take you about three million, eight hundred thirty-one thousand, six hundred twenty-three 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 48201208742016 cubic inches would be around 3032.8 feet tall.
Recreational maths with 48201208742016
- 48201208742016 backwards is 61024780210284
- The number of decimal digits it has is: 14
- The sum of 48201208742016's digits is 45
- 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 48201208742016 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 48201208742016 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/48201208742016/
Chicago style:
Numbermatics. 2024. "Number 48201208742016 - Facts about the integer". https://numbermatics.com/n/48201208742016/
The information we have on file for 48201208742016 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 48201208742016, math, Factors of 48201208742016, curriculum, school, college, exams, university, Prime factorization of 48201208742016, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, two hundred one billion, two hundred eight million, seven hundred forty-two thousand and sixteen.