48408672889073664
48,408,672,889,073,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 48408672889073664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1872 divisors.
48408672889073664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 48408672889073664:
212 × 35 × 472 × 613 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 47 × 47 × 61 × 61 × 61 × 97)See below for interesting mathematical facts about the number 48408672889073664 from the Numbermatics database.
Names of 48408672889073664
- Cardinal: 48408672889073664 can be written as Forty-eight quadrillion, four hundred eight trillion, six hundred seventy-two billion, eight hundred eighty-nine million, seventy-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.8408672889073664 × 1016
Factors of 48408672889073664
Divisors of 48408672889073664
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 61 64 72 81 94 96 97 108 122 128 141 144 162 183 188 192 194 216 243 244 256 282 288 291 324 366 376 384 388 423 432 486 488 512 549 564 576 582 648 732 752 768 776 846 864 873 972 976 1024 1098 1128 1152 1164 1269 1296 1464 1504 1536 1552 1647 1692 1728 1746 1944 1952 2048 2196 2209 2256 2304 2328 2538 2592 2619 2867 2928 3008 3072 3104 3294 3384 3456 3492 3721 3807 3888 3904 4096 4392 4418 4512 4559 4608 4656 4941 5076 5184 5238 5734 5856 5917 6016 6144 6208 6588 6627 6768 6912 6984 7442 7614 7776 7808 7857 8601 8784 8836 9024 9118 9216 9312 9882 10152 10368 10476 11163 11421 11468 11712 11834 12032 12288 12416 13176 13254 13536 13677 13824 13968 14823 14884 15228 15552 15616 15714 17202 17568 17672 17751 18048 18236 18432 18624 19764 19881 20304 20736 20952 22326 22842 22936 23424 23571 23668 24064 24832 25803 26352 26508 27072 27354 27648 27936 29646 29768 30456 31104 31232 31428 33489 34404 35136 35344 35502 36096 36472 36864 37248 39528 39762 40608 41031 41472 41904 44652 45684 45872 46848 47142 47336 48128 49664 51606 52704 53016 53253 54144 54708 55296 55872 59292 59536 59643 60912 62208 62464 62856 66978 68808 70272 70688 71004 72192 72944 74496 77409 79056 79524 81216 82062 82944 83808 89304 91368 91744 93696 94284 94672 96256 99328 100467 103212 105408 106032 106506 108288 109416 110592 111744 118584 119072 119286 121824 123093 124416 124928 125712 133956 134749 137616 140544 141376 142008 144384 145888 148992 154818 158112 159048 159759 162432 164124 165888 167616 174887 178608 178929 182736 183488 187392 188568 189344 192512 198656 200934 206424 210816 212064 213012 214273 216576 218832 223488 226981 232227 237168 238144 238572 243648 246186 248832 249856 251424 267912 269498 275232 278099 281088 282752 284016 288768 291776 297984 301401 309636 316224 318096 319518 324864 328248 331776 335232 349774 357216 357858 360937 365472 366976 369279 374784 377136 378688 397312 401868 404247 412848 421632 424128 426024 428546 433152 437664 446976 453962 464454 474336 476288 477144 479277 487296 492372 497664 502848 524661 535824 536787 538996 550464 556198 562176 565504 568032 577536 583552 595968 602802 619272 632448 636192 639036 642819 649728 656496 670464 680943 696681 699548 714432 715716 721874 730944 733952 738558 749568 754272 757376 803736 808494 825696 834297 843264 848256 852048 857092 866304 875328 893952 904203 907924 928908 948672 952576 954288 958554 974592 984744 995328 1005696 1049322 1071648 1073574 1077992 1082811 1100928 1107837 1112396 1124352 1131008 1136064 1167104 1191936 1205604 1212741 1238544 1264896 1272384 1278072 1285638 1299456 1312992 1340928 1361886 1393362 1399096 1428864 1431432 1437831 1443748 1461888 1467904 1477116 1508544 1514752 1573983 1607472 1616988 1651392 1668594 1686528 1696512 1704096 1714184 1732608 1750656 1787904 1808406 1815848 1857816 1897344 1905152 1908576 1917108 1928457 1949184 1969488 2011392 2042829 2098644 2143296 2147148 2155984 2165622 2201856 2215674 2224792 2248704 2262016 2272128 2334208 2411208 2425482 2477088 2502891 2529792 2544768 2556144 2571276 2598912 2625984 2681856 2723772 2786724 2798192 2857728 2862864 2875662 2887496 2923776 2935808 2954232 3017088 3029504 3147966 3214944 3233976 3248433 3302784 3337188 3373056 3393024 3408192 3428368 3501312 3575808 3616812 3631696 3638223 3715632 3794688 3810304 3817152 3834216 3856914 3898368 3938976 4022784 4085658 4197288 4286592 4294296 4311968 4331244 4403712 4431348 4449584 4524032 4544256 4668416 4721949 4822416 4850964 4954176 5005782 5059584 5089536 5112288 5142552 5197824 5251968 5363712 5447544 5573448 5596384 5715456 5725728 5751324 5774992 5785371 5847552 5871616 5908464 6034176 6059008 6128487 6295932 6429888 6467952 6496866 6605568 6674376 6746112 6786048 6816384 6856736 7002624 7233624 7263392 7276446 7431264 7508673 7589376 7620608 7634304 7668432 7713828 7796736 7877952 8045568 8171316 8219689 8394576 8573184 8588592 8623936 8662488 8807424 8862696 8899168 9048064 9088512 9336832 9443898 9644832 9701928 9745299 9908352 10011564 10119168 10179072 10224576 10285104 10503936 10668107 10727424 10895088 10914669 11146896 11192768 11430912 11451456 11502648 11549984 11570742 11695104 11743232 11816928 12068352 12118016 12256974 12591864 12859776 12935904 12993732 13070653 13211136 13348752 13572096 13632768 13713472 14005248 14165847 14467248 14526784 14552892 14862528 15017346 15178752 15241216 15268608 15336864 15427656 15593472 15755904 16091136 16342632 16439378 16789152 16964039 17146368 17177184 17247872 17324976 17356113 17614848 17725392 17798336 18177024 18385461 18673664 18887796 19289664 19403856 19490598 19816704 20023128 20238336 20358144 20449152 20570208 21007872 21336214 21790176 21829338 22017157 22293792 22385536 22526019 22861824 22902912 23005296 23099968 23141484 23390208 23633856 24136704 24236032 24513948 24659067 25183728 25719552 25871808 25987464 26141306 26422272 26697504 27144192 27265536 27426944 28010496 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10038261504 10251841536 10369400004 10652716944 10700338302 10879370496 10924141568 10992697272 11176621056 11226584448 11272784384 11293044192 11533321728 11848439808 12033624696 12289659264 12417676548 12551141376 12625442304 12681882432 12704674716 12756957328 13028381952 13305581568 13329494784 13384348672 13537827783 13825866672 14120034048 14203622592 14267117736 14351576994 14505827328 14656929696 14902161408 14968779264 15057392256 15377762304 15979075416 16044832928 16386212352 16489045908 16556902064 16764931584 16833923072 16909176576 16939566288 17299982592 17371175936 17772659712 18050437044 18434488896 18626514822 18826712064 18938163456 19022823648 19135435992 19341103104 19542572928 19958372352 20076523008 20738800008 21305433888 21400676604 21527365491 21758740992 21848283136 21985394544 22353242112 22453168896 22545568768 22586088384 23066643456 23696879616 24067249392 24579318528 24835353096 25102282752 25250884608 25363764864 25409349432 25513914656 26056763904 26658989568 26768697344 27075655566 27651733344 27939772233 28240068096 28407245184 28534235472 28703153988 29011654656 29313859392 29937558528 30114784512 30755524608 31958150832 32089665856 32772424704 32978091816 33113804128 33529863168 33667846144 33818353152 33879132576 34599965184 34742351872 35545319424 36100874088 36868977792 37253029644 37653424128 37876326912 38045647296 38270871984 39085145856 39916744704 40153046016 40613483349 41477600016 42610867776 42801353208 43054730982 43517481984 43696566272 43970789088 44706484224 44906337792 45091137536 45172176768 46133286912 48134498784 48635899813 49158637056 49670706192 50501769216 50727529728 50818698864 51027829312 52113527808 53317979136 53537394688 54151311132 55303466688 55879544466 56480136192 56814490368 57068470944 57406307976 58023309312 58627718784 59875117056 60229569024 63916301664 64179331712 64582096473 65544849408 65956183632 66227608256 67059726336 67636706304 67758265152 69199930368 69484703744 71090638848 72201748176 73737955584 74506059288 75306848256 75752653824 76091294592 76541743968 78170291712 80306092032 81226966698 82955200032 83819316699 85221735552 85602706416 86109461964 87034963968 87941578176 89812675584 90182275072 90344353536 92266573824 96268997568 97271799626 98317274112 99341412384 101003538432 101455059456 101637397728 102055658624 104227055616 106635958272 108302622264 110606933376 111759088932 112960272384 113628980736 114136941888 114812615952 117255437568 119750234112 120459138048 121840450047 127832603328 128358663424 129164192946 131089698816 131912367264 132455216512 134119452672 135273412608 135516530304 138399860736 144403496352 145907699439 147475911168 149012118576 151505307648 152182589184 153083487936 156340583424 160612184064 162453933396 165910400064 167638633398 170443471104 171205412832 172218923928 174069927936 175883156352 179625351168 180688707072 192537995136 193746289419 194543599252 196634548224 198682824768 202910118912 203274795456 204111317248 208454111232 213271916544 216605244528 221213866752 223518177864 225920544768 227257961472 228273883776 229625231904 234510875136 240918276096 243680900094 251457950097 255665206656 256717326848 258328385892 263824734528 264910433024 270546825216 271033060608 276799721472 288806992704 291815398878 294951822336 298024237152 303010615296 304365178368 306166975872 312681166848 324907866792 331820800128 335277266796 340886942208 342410825664 344437847856 351766312704 359250702336 361377414144 385075990272 387492578838 389087198504 393269096448 397365649536 405820237824 406549590912 408222634496 433210489056 437723098317 442427733504 447036355728 454515922944 456547767552 459250463808 469021750272 481836552192 487361800188 502915900194 511330413312 513434653696 516656771784 527649469056 529820866048 542066121216 577613985408 583630797756 589903644672 596048474304 608730356736 612333951744 625362333696 649815733584 663641600256 670554533592 681773884416 684821651328 688875695712 703532625408 722754828288 770151980544 774985157676 778174397008 794731299072 811640475648 813099181824 816445268992 866420978112 875446196634 884855467008 894072711456 909031845888 913095535104 918500927616 938043500544 974723600376 1005831800388 1022660826624 1026869307392 1033313543568 1055298938112 1059641732096 1084132242432 1155227970816 1167261595512 1179807289344 1192096948608 1217460713472 1224667903488 1299631467168 1313169294951 1327283200512 1341109067184 1363547768832 1369643302656 1377751391424 1407065250816 1445509656576 1540303961088 1549970315352 1556348794016 1589462598144 1626198363648 1632890537984 1732841956224 1750892393268 1769710934016 1788145422912 1826191070208 1837001855232 1876087001088 1949447200752 2011663600776 2045321653248 2053738614784 2066627087136 2110597876224 2119283464192 2168264484864 2310455941632 2334523191024 2384193897216 2434921426944 2449335806976 2599262934336 2626338589902 2654566401024 2682218134368 2727095537664 2739286605312 2755502782848 2814130501632 3080607922176 3099940630704 3112697588032 3178925196288 3252396727296 3265781075968 3465683912448 3501784786536 3539421868032 3576290845824 3652382140416 3674003710464 3898894401504 3939507884853 4023327201552 4090643306496 4133254174272 4221195752448 4238566928384 4336528969728 4620911883264 4669046382048 4768387794432 4898671613952 5198525868672 5252677179804 5309132802048 5364436268736 5478573210624 5511005565696 5628261003264 6161215844352 6199881261408 6225395176064 6357850392576 6504793454592 6931367824896 7003569573072 7152581691648 7304764280832 7348007420928 7797788803008 7879015769706 8046654403104 8181286612992 8266508348544 8442391504896 9241823766528 9338092764096 9536775588864 9797343227904 10397051737344 10505354359608 10618265604096 10728872537472 10957146421248 11022011131392 11818523654559 12399762522816 12450790352128 12715700785152 13009586909184 13862735649792 14007139146144 14305163383296 14696014841856 15595577606016 15758031539412 16093308806208 16533016697088 16884783009792 18483647533056 18676185528192 19073551177728 20794103474688 21010708719216 21457745074944 21914292842496 22044022262784 23637047309118 24799525045632 24901580704256 27725471299584 28014278292288 28610326766592 29392029683712 31191155212032 31516063078824 32186617612416 33066033394176 37352371056384 38147102355456 41588206949376 42021417438432 42915490149888 44088044525568 47274094618236 49599050091264 49803161408512 55450942599168 56028556584576 57220653533184 62382310424064 63032126157648 64373235224832 66132066788352 74704742112768 83176413898752 84042834876864 85830980299776 88176089051136 94548189236472 99198100182528 99606322817024 112057113169152 114441307066368 124764620848128 126064252315296 128746470449664 132264133576704 149409484225536 166352827797504 168085669753728 171661960599552 189096378472944 198396200365056 199212645634048 224114226338304 249529241696256 252128504630592 257492940899328 264528267153408 298818968451072 336171339507456 343323921199104 378192756945888 396792400730112 448228452676608 499058483392512 504257009261184 514985881798656 597637936902144 672342679014912 756385513891776 793584801460224 896456905353216 1008514018522368 1029971763597312 1344685358029824 1512771027783552 1792913810706432 2017028037044736 2689370716059648 3025542055567104 4034056074089472 5378741432119296 6051084111134208 8068112148178944 12102168222268416 16136224296357888 24204336444536832 48408672889073664
- Sum of all divisors σ(n): 152182250641462496
- Sum of proper divisors (its aliquot sum) s(n): 103773577752388832
- 48408672889073664 is an abundant number, because the sum of its proper divisors (103773577752388832) is greater than itself. Its abundance is 55364904863315168
Bases of 48408672889073664
- Binary: 101010111111101101101110011101111001100111110000000000002
- Hexadecimal: 0xABFB6E7799F000
- Base-36: D8NFXBF9C00
Squares and roots of 48408672889073664
- 48408672889073664 squared (484086728890736642) is 2343399610881335559280396018384896
- 48408672889073664 cubed (484086728890736643) is 113440865211537082273584521787011291654582848978944
-
The
square root of 48408672889073664 is 220019710.2285921655 -
The
cube root of 48408672889073664 is 364452.6051066877
Scales and comparisons
How big is 48408672889073664?- 48,408,672,889,073,664 seconds is equal to 1,539,246,060 years, 5 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 48,408,672,889,073,664 would take you about four billion, six hundred seventeen million, seven hundred thirty-eight thousand, one hundred eighty 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 48408672889073664 cubic inches would be around 30371.1 feet tall.
Recreational maths with 48408672889073664
- 48408672889073664 backwards is 46637098827680484
- The number of decimal digits it has is: 17
- The sum of 48408672889073664's digits is 90
- More coming soon!
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"Number 48408672889073664 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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The information we have on file for 48408672889073664 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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