48468240921929472
48,468,240,921,929,472 is an even composite number composed of six prime numbers multiplied together.
48468240921929472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 48468240921929472:
28 × 33 × 72 × 172 × 149 × 18232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 17 × 17 × 149 × 1823 × 1823)See below for interesting mathematical facts about the number 48468240921929472 from the Numbermatics database.
Names of 48468240921929472
- Cardinal: 48468240921929472 can be written as Forty-eight quadrillion, four hundred sixty-eight trillion, two hundred forty billion, nine hundred twenty-one million, nine hundred twenty-nine thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.8468240921929472 × 1016
Factors of 48468240921929472
Divisors of 48468240921929472
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 64 68 72 84 96 98 102 108 112 119 126 128 136 144 147 149 153 168 189 192 196 204 216 224 238 252 256 272 288 289 294 298 306 336 357 378 384 392 408 432 441 447 448 459 476 504 544 576 578 588 596 612 672 714 756 768 784 816 833 864 867 882 894 896 918 952 1008 1043 1071 1088 1152 1156 1176 1192 1224 1323 1341 1344 1428 1512 1568 1632 1666 1728 1734 1764 1788 1792 1823 1836 1904 2016 2023 2086 2142 2176 2304 2312 2352 2384 2448 2499 2533 2601 2646 2682 2688 2856 3024 3129 3136 3213 3264 3332 3456 3468 3528 3576 3646 3672 3808 4023 4032 4046 4172 4284 4352 4624 4704 4768 4896 4998 5066 5202 5292 5364 5376 5469 5712 6048 6069 6258 6272 6426 6528 6664 6912 6936 7056 7152 7292 7301 7344 7497 7599 7616 7803 8046 8064 8092 8344 8568 9248 9387 9408 9536 9792 9996 10132 10404 10584 10728 10938 11424 12096 12138 12516 12544 12761 12852 13056 13328 13872 14112 14161 14304 14584 14602 14688 14994 15198 15232 15606 16092 16128 16184 16407 16688 17136 17731 18207 18496 18774 18816 19072 19584 19992 20264 20808 21168 21456 21876 21903 22491 22797 22848 24192 24276 25032 25522 25704 26656 27744 28161 28224 28322 28608 29168 29204 29376 29988 30396 30464 30991 31212 32184 32368 32814 33376 34272 35462 36414 36992 37548 37632 38144 38283 39168 39984 40528 41616 42336 42483 42912 43061 43752 43806 44982 45594 45696 48384 48552 49221 50064 51044 51408 53193 53312 54621 55488 56322 56448 56644 57216 58336 58408 58752 59976 60792 61982 62424 64368 64736 65628 65709 66752 68391 68544 70924 72828 73984 75096 76566 79968 81056 83232 84672 84966 85824 86122 87504 87612 89327 89964 91188 91392 92973 97104 98442 100128 102088 102816 106386 106624 109242 110976 112644 112896 113288 114432 114849 116672 116816 117504 119952 121584 123964 124117 124848 127449 128736 129183 129472 131256 131418 133504 136782 137088 141848 145656 150192 153132 159579 159936 162112 166464 169344 169932 171648 172244 175008 175224 178654 179928 182376 185946 194208 196884 197127 200256 204176 205632 212772 213248 216937 218484 221952 225288 226576 229698 233344 233632 239904 243168 247928 248234 249696 254898 257472 258366 258944 262512 262836 267008 267981 271627 273564 274176 278919 283696 291312 300384 301427 306264 319158 319872 324224 332928 338688 339864 343296 344488 344547 350016 350448 357308 359856 364752 371892 372351 382347 387549 388416 393768 394254 400512 408352 411264 425544 433874 436968 450576 453152 459396 466688 467264 478737 479808 486336 495856 496468 499392 509796 514944 516732 517888 525024 525672 526847 535962 543254 547128 557838 567392 582624 600768 602854 612528 638316 639744 648448 650811 665856 679728 688976 689094 700032 700896 714616 719712 729504 743784 744702 764694 775098 776832 787536 788508 801024 803943 814881 816704 822528 836757 851088 867748 873936 901152 904281 906304 918792 934528 957474 959616 972672 991712 992936 998784 1019592 1029888 1033464 1050048 1051344 1053694 1071924 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1140885552384 1144846960552 1164654001392 1195919880624 1212190899408 1237444876479 1266051273984 1270664873163 1287952830621 1290834156864 1310235751566 1331033144448 1366765577856 1414222715976 1452188426472 1477059819648 1497412287504 1505973183008 1552872001856 1563945691392 1591000555473 1594559840832 1616254532544 1649926501972 1659643915968 1661692297104 1694219830884 1711328328576 1717270440828 1721112209152 1746981002088 1818286349112 1885630287968 1899076910976 1936251235296 1996549716672 2003482180966 2121334073964 2126079787776 2155006043392 2212858554624 2215589729472 2258959774512 2289693921104 2329308002784 2391839761248 2424381798816 2474889752958 2541329746326 2575905661242 2581668313728 2620471503132 2662066288896 2733531155712 2828445431952 2904376852944 2954119639296 2994824575008 3005223271449 3011946366016 3105744003712 3182001110946 3189119681664 3232509065088 3299853003944 3319287831936 3323384594208 3388439661768 3422656657152 3434540881656 3493962004176 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15085042303744 15455433967452 15490009882368 16027857447728 16970672591712 18031339628694 18071678196096 18317551368832 18634464022272 19134718089984 19395054390528 19799118023664 20330637970608 20607245289936 20963772025056 21036562900143 22274007776622 22627563455616 23235014823552 23958596600064 24041786171592 25456008887568 26398824031552 26587076753664 27047009443041 27107517294144 27476327053248 27951696033408 28048750533524 29092581585792 29698677035496 30910867934904 32055714895456 33941345183424 36062679257388 36143356392192 36635102737664 39598236047328 40661275941216 41214490579872 41927544050112 42073125800286 44548015553244 45255126911232 46470029647104 48083572343184 50912017775136 52797648063104 54094018886082 54215034588288 54952654106496 55903392066816 56097501067048 58185163171584 59397354070992 61821735869808 63109688700429 64111429790912 67882690366848 72125358514776 79196472094656 81322551882432 82428981159744 83855088100224 84146251600572 89096031106488 96167144686368 101824035550272 105595296126208 108188037772164 108430069176576 109905308212992 112195002134096 118794708141984 123643471739616 126219377400858 128222859581824 135765380733696 144250717029552 158392944189312 162645103764864 164857962319488 167710176200448 168292503201144 178192062212976 189329066101287 192334289372736 203648071100544 216376075544328 224390004268192 237589416283968 247286943479232 252438754801716 256445719163648 288501434059104 316785888378624 325290207529728 329715924638976 336585006402288 356384124425952 378658132202574 384668578745472 407296142201088 432752151088656 448780008536384 475178832567936 494573886958464 504877509603432 577002868118208 673170012804576 712768248851904 757316264405148 769337157490944 865504302177312 897560017072768 950357665135872 989147773916928 1009755019206864 1154005736236416 1346340025609152 1425536497703808 1514632528810296 1731008604354624 1795120034145536 2019510038413728 2308011472472832 2692680051218304 2851072995407616 3029265057620592 3462017208709248 4039020076827456 5385360102436608 6058530115241184 6924034417418496 8078040153654912 12117060230482368 16156080307309824 24234120460964736 48468240921929472
- Sum of all divisors σ(n): 178400889295902000
- Sum of proper divisors (its aliquot sum) s(n): 129932648373972528
- 48468240921929472 is an abundant number, because the sum of its proper divisors (129932648373972528) is greater than itself. Its abundance is 81464407452043056
Bases of 48468240921929472
- Binary: 101011000011000110011011101110110000101000100111000000002
- Hexadecimal: 0xAC319BBB0A2700
- Base-36: D98K2HS0QO0
Squares and roots of 48468240921929472
- 48468240921929472 squared (484682409219294722) is 2349170378066198673892511342198784
- 48468240921929472 cubed (484682409219294723) is 113860155850772659502514898405235957087496252162048
-
The
square root of 48468240921929472 is 220155038.3750721071 -
The
cube root of 48468240921929472 is 364602.0330553301
Scales and comparisons
How big is 48468240921929472?- 48,468,240,921,929,472 seconds is equal to 1,541,140,139 years, 10 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
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To count from 1 to 48,468,240,921,929,472 would take you about four billion, six hundred twenty-three million, four hundred twenty thousand, four hundred seventeen 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 48468240921929472 cubic inches would be around 30383.5 feet tall.
Recreational maths with 48468240921929472
- 48468240921929472 backwards is 27492912904286484
- The number of decimal digits it has is: 17
- The sum of 48468240921929472's digits is 81
- More coming soon!
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The information we have on file for 48468240921929472 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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