48375965467873728
48,375,965,467,873,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48375965467873728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
48375965467873728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 48375965467873728:
26 × 35 × 17 × 41 × 229 × 233 × 83641
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 41 × 229 × 233 × 83641)See below for interesting mathematical facts about the number 48375965467873728 from the Numbermatics database.
Names of 48375965467873728
- Cardinal: 48375965467873728 can be written as Forty-eight quadrillion, three hundred seventy-five trillion, nine hundred sixty-five billion, four hundred sixty-seven million, eight hundred seventy-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.8375965467873728 × 1016
Factors of 48375965467873728
Divisors of 48375965467873728
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 41 48 51 54 64 68 72 81 82 96 102 108 123 136 144 153 162 164 192 204 216 229 233 243 246 272 288 306 324 328 369 408 432 458 459 466 486 492 544 576 612 648 656 687 697 699 738 816 864 916 918 932 972 984 1088 1107 1224 1296 1312 1374 1377 1394 1398 1476 1632 1728 1832 1836 1864 1944 1968 2061 2091 2097 2214 2448 2592 2624 2748 2754 2788 2796 2952 3264 3321 3664 3672 3728 3888 3893 3936 3961 4122 4131 4182 4194 4428 4896 5184 5496 5508 5576 5592 5904 6183 6273 6291 6642 7328 7344 7456 7776 7786 7872 7922 8244 8262 8364 8388 8856 9389 9553 9792 9963 10992 11016 11152 11184 11679 11808 11883 12366 12546 12582 13284 14656 14688 14912 15552 15572 15844 16488 16524 16728 16776 17712 18549 18778 18819 18873 19106 19926 21984 22032 22304 22368 23358 23616 23766 24732 25092 25164 26568 28167 28659 29376 31144 31688 32976 33048 33456 33552 35037 35424 35649 37098 37556 37638 37746 38212 39852 43968 44064 44608 44736 46716 47532 49464 50184 50328 53136 53357 55647 56334 56457 56619 57318 62288 63376 65952 66096 66912 67104 70074 70848 71298 74196 75112 75276 75492 76424 79704 83641 84501 85977 88128 93432 95064 98928 100368 100656 105111 106272 106714 106947 111294 112668 112914 113238 114636 124576 126752 131904 132192 133824 134208 140148 142596 148392 150224 150552 150984 152848 159408 159613 160071 162401 167282 169002 169371 171954 186864 190128 197856 200736 201312 210222 212544 213428 213894 222588 225336 225828 226476 229272 249152 250923 253503 253504 257931 264384 280296 285192 296784 300448 301104 301968 305696 315333 318816 319226 320142 320841 324802 334564 338004 338742 343908 373728 380256 395712 401472 402624 420444 426856 427788 445176 450672 451656 452952 458544 478839 480213 487203 501846 507006 515862 560592 570384 593568 600896 602208 603936 611392 630666 637632 638452 640284 641682 649604 669128 676008 677484 687816 747456 752769 760509 760512 773793 840888 853712 855576 890352 901344 903312 905904 907069 917088 945999 957678 960426 962523 974406 1003692 1014012 1031724 1121184 1140768 1187136 1204416 1207872 1261332 1276904 1280568 1283364 1299208 1338256 1352016 1354968 1375632 1421897 1436517 1440639 1461609 1505538 1521018 1547586 1681776 1707424 1711152 1780704 1802688 1806624 1811808 1814138 1834176 1891998 1915356 1920852 1925046 1948812 2007384 2028024 2063448 2187637 2242368 2258307 2281527 2281536 2321379 2522664 2553808 2561136 2566728 2598416 2676512 2704032 2709936 2721207 2751264 2843794 2873034 2881278 2923218 3011076 3042036 3095172 3363552 3414848 3422304 3429281 3561408 3613248 3623616 3628276 3783996 3830712 3841704 3850092 3897624 4014768 4056048 4126896 4265691 4309551 4321917 4375274 4384827 4516614 4563054 4642758 5045328 5107616 5122272 5133456 5196832 5353024 5408064 5419872 5442414 5502528 5687588 5746068 5762556 5846436 6022152 6084072 6190344 6562911 6727104 6774921 6844608 6858562 7256552 7567992 7661424 7683408 7700184 7795248 8029536 8112096 8163621 8253792 8531382 8619102 8643834 8750548 8769654 9033228 9126108 9285516 10090656 10215232 10244544 10266912 10287843 10393664 10839744 10884828 11375176 11492136 11525112 11692872 12044304 12168144 12380688 12797073 12928653 12965751 13125822 13154481 13549842 13717124 14513104 15135984 15322848 15366816 15400368 15590496 16059072 16224192 16327242 16507584 17062764 17238204 17287668 17501096 17539308 18066456 18252216 18571032 19153789 19488353 19688733 20181312 20324763 20533824 20575686 21769656 22750352 22984272 23050224 23385744 24088608 24336288 24490863 24761376 25594146 25857306 25931502 26251644 26308962 27099684 27434248 29026208 30271968 30645696 30733632 30800736 30863529 31180992 32654484 34125528 34476408 34575336 35002192 35078616 36132912 36504432 37142064 37189829 38307578 38391219 38785959 38976706 39377466 39463443 40649526 41151372 43539312 45500704 45968544 46100448 46771488 48177216 48672576 48981726 49522752 51188292 51714612 51863004 52503288 52617924 54199368 54868496 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325196208 325614413 329210976 331302001 334708461 344768202 345520971 349786662 350790354 354397194 370362348 391853808 409506336 413716896 414904032 420026304 420943392 433594944 440835534 446277948 459690936 460694628 466382216 467720472 472529592 493816464 517152303 522471744 524679993 526185531 531595791 555543522 587780712 595037264 612921248 614259504 620575344 623627296 630039456 631415088 650392416 651228826 658421952 662604002 669416922 689536404 691041942 699573324 701580708 708794388 740724696 783707616 785305349 799022473 819012672 827433792 829808064 833315283 841886784 881671068 892555896 919381872 921389256 932764432 935440944 945059184 976843239 987632928 993906003 1004125383 1034304606 1049359986 1052371062 1063191582 1111087044 1175561424 1190074528 1225842496 1228519008 1241150688 1247254592 1260078912 1262830176 1300784832 1302457652 1325208004 1338833844 1379072808 1382083884 1399146648 1403161416 1417588776 1481449392 1551456909 1567415232 1570610698 1574039979 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8033003064 8274436848 8394879888 8418968496 8505532656 8791589151 8888696352 8925665674 8945154027 9037128447 9308741454 9423664188 9444239874 9471339558 9588269676 10419661216 10601664032 10710670752 11032582464 11056671072 11193173184 11225291328 11340710208 11722118868 11926872036 12049504596 12411655272 12564885584 12592319832 12628452744 12784359568 13333044528 13350190933 13388498511 13583382041 14106737088 14135496282 14166359811 14382404514 15629491824 15902496048 16066006128 16548873696 16789759776 16837936992 17011065312 17583178302 17777392704 17851331348 17890308054 18074256894 18617482908 18847328376 18888479748 18942679116 19176539352 20839322432 21203244423 21203328064 21421341504 21573606771 22113342144 23444237736 23853744072 24099009192 24823310544 25129771168 25184639664 25256905488 25568719136 26374767453 26666089056 26700381866 26776997022 26835462081 27166764082 28270992564 28332719622 28764809028 31258983648 31804992096 32132012256 33097747392 33579519552 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151541432928 151736316458 153412314816 158248604718 160202291196 160661982132 161012772486 163000584492 169625955384 172588854168 182976146317 187553901888 190829199807 190829952576 192792073536 194162460939 210998139624 213603054928 214215976176 214683696648 217334112656 226167940512 226661756976 227604474687 230118472224 240303436794 240992973198 244500876738 254438933076 258883281252 281330852832 285621301568 286244928864 289188110304 297879726528 302215675968 303082865856 303472632916 316497209436 320404582392 321323964264 322025544972 326001168984 339251910768 345177708336 360455155191 361489459797 365952292634 366751315107 381658399614 388324921878 421996279248 427206109856 428431952352 429367393296 434668225312 452335881024 453323513952 455208949374 460236944448 480606873588 481985946396 489001753476 508877866152 517766562504 548928438951 562661705664 572489857728 578376220608 606945265832 632994418872 640809164784 642647928528 644051089944 652002337968 678503821536 682813424061 690355416672 720910310382 722978919594 731904585268 733502630214 763316799228 776649843756 843992558496 854412219712 856863904704 858734786592 869336450624 906647027904 910417898748 961213747176 963971892792 978003506952 1017755732304 1035533125008 1081365465573 1084468379391 1097856877902 1100253945321 1213890531664 1265988837744 1281618329568 1285295857056 1288102179888 1304004675936 1357007643072 1365626848122 1380710833344 1441820620764 1445957839188 1463809170536 1467005260428 1526633598456 1553299687512 1646785316853 1687985116992 1717469573184 1820835797496 1922427494352 1927943785584 1956007013904 2035511464608 2048440272183 2071066250016 2162730931146 2168936758782 2195713755804 2200507890642 2427781063328 2531977675488 2563236659136 2570591714112 2576204359776 2608009351872 2731253696244 2883641241528 2891915678376 2927618341072 2934010520856 3053267196912 3106599375024 3110594487389 3244096396719 3293570633706 3300761835963 3641671594992 3844854988704 3855887571168 3912014027808 4071022929216 4096880544366 4142132500032 4325461862292 4337873517564 4391427511608 4401015781284 4855562126656 4940355950559 5063955350976 5152408719552 5462507392488 5767282483056 5783831356752 5855236682144 5868021041712 6106534393824 6145320816549 6213198750048 6221188974778 6488192793438 6587141267412 6601523671926 7283343189984 7689709977408 7711775142336 7824028055616 8193761088732 8650923724584 8675747035128 8782855023216 8802031562568 9331783462167 9880711901118 10925014784976 11534564966112 11567662713504 11710473364288 11736042083424 12213068787648 12290641633098 12426397500096 12442377949556 12976385586876 13174282534824 13203047343852 14566686379968 14821067851677 16387522177464 17301847449168 17351494070256 17565710046432 17604063125136 18435962449647 18663566924334 19761423802236 21850029569952 23069129932224 23135325427008 23472084166848 24581283266196 24884755899112 25952771173752 26348565069648 26406094687704 27995350386501 29642135703354 32775044354928 34603694898336 34702988140512 35131420092864 35208126250272 36871924899294 37327133848668 39522847604472 43700059139904 44463203555031 49162566532392 49769511798224 51905542347504 52697130139296 52812189375408 55990700773002 59284271406708 65550088709856 69207389796672 69405976281024 70416252500544 73743849798588 74654267697336 79045695208944 83986051159503 88926407110062 98325133064784 99539023596448 103811084695008 105394260278592 105624378750816 111981401546004 118568542813416 131100177419712 147487699597176 149308535394672 158091390417888 167972102319006 177852814220124 196650266129568 199078047192896 207622169390016 211248757501632 223962803092008 237137085626832 251958153478509 294975399194352 298617070789344 316182780835776 335944204638012 355705628440248 393300532259136 447925606184016 474274171253664 503916306957018 589950798388704 597234141578688 671888409276024 711411256880496 755874460435527 895851212368032 948548342507328 1007832613914036 1179901596777408 1343776818552048 1422822513760992 1511748920871054 1791702424736064 2015665227828072 2687553637104096 2845645027521984 3023497841742108 4031330455656144 5375107274208192 6046995683484216 8062660911312288 12093991366968432 16125321822624576 24187982733936864 48375965467873728
- Sum of all divisors σ(n): 157324008146497920
- Sum of proper divisors (its aliquot sum) s(n): 108948042678624192
- 48375965467873728 is an abundant number, because the sum of its proper divisors (108948042678624192) is greater than itself. Its abundance is 60572077210750464
Bases of 48375965467873728
- Binary: 101010111101110110101111001011010110000100010001110000002
- Hexadecimal: 0xABDDAF2D6111C0
- Base-36: D8BUJQH5O00
Squares and roots of 48375965467873728
- 48375965467873728 squared (483759654678737282) is 2340234034948911399200865352617984
- 48375965467873728 cubed (483759654678737283) is 113211080861431336959871556153765345709970733924352
-
The
square root of 48375965467873728 is 219945369.2803595445 -
The
cube root of 48375965467873728 is 364370.5055584119
Scales and comparisons
How big is 48375965467873728?- 48,375,965,467,873,728 seconds is equal to 1,538,206,065 years, 10 weeks, 28 minutes, 48 seconds.
-
To count from 1 to 48,375,965,467,873,728 would take you about four billion, six hundred fourteen million, six hundred eighteen thousand, one hundred ninety-five 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 48375965467873728 cubic inches would be around 30364.2 feet tall.
Recreational maths with 48375965467873728
- 48375965467873728 backwards is 82737876456957384
- The number of decimal digits it has is: 17
- The sum of 48375965467873728's digits is 99
- More coming soon!
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"Number 48375965467873728 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 48375965467873728 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/48375965467873728/
Chicago style:
Numbermatics. 2024. "Number 48375965467873728 - Facts about the integer". https://numbermatics.com/n/48375965467873728/
The information we have on file for 48375965467873728 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 48375965467873728, math, Factors of 48375965467873728, curriculum, school, college, exams, university, Prime factorization of 48375965467873728, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, three hundred seventy-five trillion, nine hundred sixty-five billion, four hundred sixty-seven million, eight hundred seventy-three thousand, seven hundred twenty-eight.