48742718340096
48,742,718,340,096 is an even composite number composed of five prime numbers multiplied together.
What does the number 48742718340096 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1188 divisors.
48742718340096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 48742718340096:
210 × 38 × 112 × 17 × 3527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 17 × 3527)See below for interesting mathematical facts about the number 48742718340096 from the Numbermatics database.
Names of 48742718340096
- Cardinal: 48742718340096 can be written as Forty-eight trillion, seven hundred forty-two billion, seven hundred eighteen million, three hundred forty thousand and ninety-six.
Scientific notation
- Scientific notation: 4.8742718340096 × 1013
Factors of 48742718340096
Divisors of 48742718340096
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 81 88 96 99 102 108 121 128 132 136 144 153 162 176 187 192 198 204 216 242 243 256 264 272 288 297 306 324 352 363 374 384 396 408 432 459 484 486 512 528 544 561 576 594 612 648 704 726 729 748 768 792 816 864 891 918 968 972 1024 1056 1088 1089 1122 1152 1188 1224 1296 1377 1408 1452 1458 1496 1536 1584 1632 1683 1728 1782 1836 1936 1944 2057 2112 2176 2178 2187 2244 2304 2376 2448 2592 2673 2754 2816 2904 2916 2992 3072 3168 3264 3267 3366 3456 3527 3564 3672 3872 3888 4114 4131 4224 4352 4356 4374 4488 4608 4752 4896 5049 5184 5346 5508 5632 5808 5832 5984 6171 6336 6528 6534 6561 6732 6912 7054 7128 7344 7744 7776 8019 8228 8262 8448 8704 8712 8748 8976 9216 9504 9792 9801 10098 10368 10581 10692 11016 11264 11616 11664 11968 12342 12393 12672 13056 13068 13122 13464 13824 14108 14256 14688 15147 15488 15552 16038 16456 16524 16896 17408 17424 17496 17952 18513 19008 19584 19602 20196 20736 21162 21384 22032 23232 23328 23936 24057 24684 24786 25344 26112 26136 26244 26928 27648 28216 28512 29376 29403 30294 30976 31104 31743 32076 32912 33048 33792 34848 34992 35904 37026 37179 38016 38797 39168 39204 40392 41472 42324 42768 44064 45441 46464 46656 47872 48114 49368 49572 50688 52224 52272 52488 53856 55539 56432 57024 58752 58806 59959 60588 61952 62208 63486 64152 65824 66096 69696 69984 71808 72171 74052 74358 76032 77594 78336 78408 80784 82944 84648 85536 88128 88209 90882 92928 93312 95229 95744 96228 98736 99144 101376 104544 104976 107712 111078 111537 112864 114048 116391 117504 117612 119918 121176 123904 124416 126972 128304 131648 132192 136323 139392 139968 143616 144342 148104 148716 152064 155188 156672 156816 161568 166617 169296 171072 176256 176418 179877 181764 185856 186624 190458 191488 192456 197472 198288 209088 209952 215424 222156 223074 225728 228096 232782 235008 235224 239836 242352 248832 253944 256608 263296 264384 264627 272646 278784 279936 285687 287232 288684 296208 297432 304128 310376 313632 323136 333234 338592 342144 349173 352512 352836 359754 363528 371712 373248 380916 384912 394944 396576 408969 418176 419904 426767 430848 444312 446148 451456 456192 465564 470016 470448 479672 484704 499851 507888 513216 526592 528768 529254 539631 545292 557568 559872 571374 574464 577368 592416 594864 620752 627264 646272 659549 666468 677184 684288 698346 705024 705672 719508 727056 746496 761832 769824 789888 793152 793881 817938 836352 839808 853534 857061 861696 888624 892296 902912 912384 931128 940896 959344 969408 999702 1015776 1026432 1047519 1053184 1057536 1058508 1079262 1090584 1115136 1119744 1142748 1154736 1184832 1189728 1226907 1241504 1254528 1280301 1292544 1319098 1332936 1354368 1368576 1396692 1410048 1411344 1439016 1454112 1499553 1523664 1539648 1579776 1586304 1587762 1618893 1635876 1672704 1679616 1707068 1714122 1723392 1777248 1784592 1805824 1862256 1881792 1918688 1938816 1978647 1999404 2031552 2052864 2095038 2106368 2115072 2117016 2158524 2181168 2239488 2285496 2309472 2369664 2379456 2453814 2483008 2509056 2560602 2571183 2585088 2638196 2665872 2708736 2737152 2793384 2822688 2878032 2908224 2999106 3047328 3079296 3142557 3159552 3172608 3175524 3237786 3271752 3345408 3359232 3414136 3428244 3554496 3569184 3611648 3724512 3763584 3837376 3840903 3877632 3957294 3998808 4063104 4105728 4190076 4230144 4234032 4317048 4362336 4498659 4570992 4618944 4739328 4758912 4856679 4907628 4966016 5018112 5121204 5142366 5170176 5276392 5331744 5417472 5586768 5645376 5756064 5816448 5935941 5998212 6094656 6158592 6285114 6319104 6345216 6351048 6475572 6543504 6718464 6828272 6856488 7108992 7138368 7255039 7449024 7527168 7674752 7681806 7713549 7755264 7914588 7997616 8126208 8211456 8380152 8468064 8634096 8724672 8997318 9141984 9237888 9427671 9478656 9517824 9713358 9815256 9932032 10036224 10242408 10284732 10552784 10663488 10834944 11173536 11290752 11512128 11522709 11632896 11871882 11996424 12189312 12317184 12570228 12690432 12702096 12951144 13087008 13495977 13656544 13712976 14217984 14276736 14510078 14570037 14898048 15054336 15349504 15363612 15427098 15510528 15829176 15995232 16252416 16760304 16936128 17268192 17449344 17807823 17994636 18283968 18475776 18855342 18957312 19035648 19426716 19630512 19864064 20484816 20569464 21105568 21326976 21765117 22347072 22581504 23024256 23045418 23140647 23265792 23743764 23992848 24378624 24634368 25140456 25404192 25902288 26174016 26991954 27313088 27425952 28283013 28435968 28553472 29020156 29140074 29796096 30108672 30699008 30727224 30854196 31658352 31990464 32504832 33520608 33872256 34536384 34568127 34898688 35615646 35989272 36567936 36951552 37710684 38071296 38853432 39261024 39728128 40969632 41138928 42211136 42653952 43530234 43710111 44694144 45163008 46048512 46090836 46281294 46531584 47487528 47985696 48757248 50280912 50808384 51804576 52348032 53423469 53983908 54626176 54851904 56566026 56871936 57106944 58040312 58280148 59592192 61398016 61454448 61708392 63316704 63980928 65295351 67041216 67744512 69072768 69136254 69797376 71231292 71978544 73135872 73903104 75421368 77706864 78522048 81939264 82277856 84422272 84849039 85307904 87060468 87420222 89388288 90326016 92097024 92181672 92562588 94975056 95971392 97514496 100561824 101616768 103609152 103704381 104696064 106846938 107967816 109252352 109703808 113132052 114213888 116080624 116560296 119184384 122908896 123416784 126633408 127961856 130590702 131130333 134082432 135489024 138145536 138272508 139594752 142462584 143957088 146271744 150842736 155413728 157044096 160270407 163878528 164555712 168844544 169698078 170615808 174120936 174840444 178776576 184194048 184363344 185125176 189950112 191942784 195886053 201123648 203233536 207218304 207408762 209392128 213693876 215935632 218504704 219407616 226264104 232161248 233120592 245817792 246833568 253266816 254547117 255923712 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1311028224 1316445696 1357584624 1392967488 1398723552 1442433663 1474906752 1481001408 1519600896 1535542272 1567088424 1573563996 1608989184 1657746432 1659270096 1709551008 1727485056 1762974477 1810112832 1857289984 1864964736 1866678858 1923244884 1966542336 1974668544 2026134528 2036376936 2089451232 2098085328 2212360128 2279401344 2303313408 2350632636 2413483776 2486619648 2488905144 2564326512 2632891392 2715169248 2785934976 2797447104 2800018287 2884867326 2949813504 2962002816 3039201792 3134176848 3147127992 3217978368 3318540192 3419102016 3454970112 3525948954 3620225664 3714579968 3729929472 3733357716 3846489768 3933084672 3949337088 4072753872 4178902464 4196170656 4327300989 4424720256 4558802688 4606626816 4701265272 4826967552 4973239296 4977810288 5128653024 5288923431 5430338496 5571869952 5594894208 5600036574 5769734652 5899627008 5924005632 6078403584 6268353696 6294255984 6637080384 6838204032 6909940224 7051897908 7240451328 7429159936 7459858944 7466715432 7692979536 7898674176 8145507744 8357804928 8392341312 8654601978 8849440512 9117605376 9402530544 9653935104 9955620576 10257306048 10577846862 10860676992 11143739904 11189788416 11200073148 11539469304 11799254016 11848011264 12536707392 12588511968 13274160768 13676408064 13819880448 14103795816 14480902656 14919717888 14933430864 15385959072 15866770293 16291015488 16715609856 16784682624 17309203956 17698881024 18235210752 18805061088 19911241152 20514612096 21155693724 21721353984 22287479808 22379576832 22400146296 23078938608 23696022528 25073414784 25177023936 26548321536 27352816128 28207591632 28961805312 29866861728 30771918144 31733540586 32582030976 33431219712 33569365248 34618407912 35397762048 37610122176 39822482304 41029224192 42311387448 43442707968 44759153664 44800292592 46157877216 47600310879 50146829568 50354047872 53096643072 54705632256 56415183264 59733723456 61543836288 63467081172 65164061952 66862439424 67138730496 69236815824 75220244352 79644964608 82058448384 84622774896 86885415936 89600585184 92315754432 95200621758 100293659136 100708095744 106193286144 112830366528 119467446912 123087672576 126934162344 130328123904 134277460992 138473631648 150440488704 159289929216 164116896768 169245549792 179201170368 184631508864 190401243516 200587318272 201416191488 225660733056 238934893824 246175345152 253868324688 260656247808 276947263296 300880977408 318579858432 338491099584 358402340736 369263017728 380802487032 402832382976 451321466112 477869787648 492350690304 507736649376 553894526592 601761954816 676982199168 716804681472 738526035456 761604974064 902642932224 955739575296 1015473298752 1107789053184 1353964398336 1433609362944 1477052070912 1523209948128 1805285864448 2030946597504 2215578106368 2707928796672 2867218725888 3046419896256 4061893195008 4431156212736 5415857593344 6092839792512 8123786390016 12185679585024 16247572780032 24371359170048 48742718340096
- Sum of all divisors σ(n): 170141319666864
- Sum of proper divisors (its aliquot sum) s(n): 121398601326768
- 48742718340096 is an abundant number, because the sum of its proper divisors (121398601326768) is greater than itself. Its abundance is 72655882986672
Bases of 48742718340096
- Binary: 10110001010100110011000110100101111100000000002
- Hexadecimal: 0x2C54CC697C00
- Base-36: HA03G0000
Squares and roots of 48742718340096
- 48742718340096 squared (487427183400962) is 2375852591181930957521289216
- 48742718340096 cubed (487427183400963) is 115805513669568110208540170181089465204736
-
The
square root of 48742718340096 is 6981598.5519145973 -
The
cube root of 48742718340096 is 36528.8989471769
Scales and comparisons
How big is 48742718340096?- 48,742,718,340,096 seconds is equal to 1,549,867 years, 34 weeks, 6 days, 15 hours, 21 minutes, 36 seconds.
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To count from 1 to 48,742,718,340,096 would take you about three million, eight hundred seventy-four thousand, six 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 48742718340096 cubic inches would be around 3044.1 feet tall.
Recreational maths with 48742718340096
- 48742718340096 backwards is 69004381724784
- The number of decimal digits it has is: 14
- The sum of 48742718340096's digits is 63
- More coming soon!
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The information we have on file for 48742718340096 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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