48638436322624512

Names of 48638436322624512

• Cardinal: 48638436322624512 can be written as Forty-eight quadrillion, six hundred thirty-eight trillion, four hundred thirty-six billion, three hundred twenty-two million, six hundred twenty-four thousand, five hundred twelve.

Scientific notation

• Scientific notation: 4.8638436322624512 × 10¹⁶

Factors of 48638436322624512

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2768

Divisors of 48638436322624512

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 61 64 78 84 91 96 104 112 122 128 156 168 182 183 192 208 224 244 256 273 312 336 364 366 384 416 427 448 488 512 546 624 672 728 732 768 793 832 854 896 941 976 1024 1092 1248 1281 1344 1456 1464 1536 1586 1664 1708 1741 1792 1882 1952 2184 2379 2496 2562 2688 2823 2912 2928 3072 3172 3328 3416 3482 3584 3764 3904 4368 4758 4992 5124 5223 5376 5551 5646 5824 5856 6344 6587 6656 6832 6964 7168 7528 7808 8736 9516 9984 10248 10446 10752 11102 11292 11648 11712 12187 12233 12688 13174 13312 13664 13928 15056 15616 16653 17472 19032 19761 19968 20496 20892 21504 22204 22584 22633 23296 23424 24374 24466 25376 26348 27328 27856 30112 31232 33306 34944 36561 36699 38064 39522 39936 40992 41784 44408 45168 45266 46592 46848 48748 48932 50752 52696 54656 55712 57401 60224 62464 66612 67899 69888 73122 73398 76128 79044 81984 83568 85631 88816 90336 90532 93184 93696 97496 97864 101504 105392 106201 109312 111424 114802 120448 133224 135798 139776 146244 146796 152256 158088 158431 163968 167136 171262 172203 177632 180672 181064 187392 194992 195728 203008 210784 212402 218624 222848 229604 240896 256893 266448 271596 279552 292488 293592 304512 316176 316862 318603 327936 334272 342524 344406 355264 361344 362128 389984 391456 401807 406016 421568 424804 437248 445696 459208 475293 481792 513786 532896 543192 584976 587184 609024 632352 633724 637206 655872 668544 685048 688812 710528 722688 724256 743407 746213 779968 782912 803614 812032 843136 849608 891392 918416 950586 963584 1027572 1065792 1086384 1169952 1174368 1205421 1218048 1264704 1267448 1274412 1311744 1337088 1370096 1377624 1380613 1421056 1445376 1448512 1486814 1492426 1559936 1565824 1607228 1638281 1686272 1699216 1782784 1836832 1901172 2055144 2131584 2172768 2230221 2238639 2339904 2348736 2410842 2436096 2529408 2534896 2548824 2674176 2740192 2755248 2761226 2842112 2890752 2897024 2973628 2984852 3031081 3119872 3131648 3214456 3276562 3372544 3398432 3673664 3802344 4110288 4141839 4263168 4345536 4460442 4477278 4679808 4697472 4821684 4914843 5058816 5069792 5097648 5223491 5348352 5480384 5510496 5522452 5684224 5794048 5947256 5969704 6062162 6239744 6263296 6428912 6553124 6745088 6796864 7347328 7604688 8220576 8283678 8526336 8691072 8920884 8954556 9093243 9359616 9394944 9643368 9664291 9829686 10117632 10139584 10195296 10446982 10960768 11020992 11044904 11467967 11588096 11894512 11939408 12124324 12479488 12526592 12857824 13106248 13593728 14694656 15209376 15670473 16441152 16567356 17052672 17382144 17841768 17909112 18186486 18719232 18789888 19286736 19328582 19659372 20235264 20279168 20390592 20893964 21217567 21297653 21921536 22041984 22089808 22935934 23176192 23789024 23878816 24248648 25715648 26212496 27187456 28992873 29389312 30418752 31340946 32882304 33134712 34403901 34764288 35683536 35818224 36372972 37438464 37579776 38573472 38657164 39318744 39404053 40558336 40781184 41787928 42435134 42595306 43843072 44083968 44179616 45871868 47578048 47757632 48497296 51431296 52424992 54374912 57985746 58778624 60837504 62681892 63652701 63892959 65764608 66269424 68807802 69528576 71367072 71636448 72745944 77146944 77314328 78637488 78808106 81116672 81562368 83575856 84870268 85190612 87686144 88167936 88359232 91743736 95156096 95515264 96994592 99935141 102862592 104849984 108749824 115971492 118212159 121675008 125363784 127305402 127785918 131529216 132538848 137615604 142734144 143272896 145491888 149083571 154293888 154628656 157274976 157616212 162233344 163124736 167151712 169740536 170381224 176335872 176718464 183487472 184895941 190312192 191030528 193989184 199870282 205725184 209699968 231942984 236424318 243350016 250727568 254610804 255571836 263058432 265077696 275231208 275828371 285468288 286545792 290983776 298167142 299805423 308587776 309257312 314549952 315232424 326249472 334303424 339481072 340762448 353436928 366974944 369791882 380624384 382061056 387978368 399740564 411450368 419399936 447250713 463885968 472848636 486700032 501455136 509221608 511143672 530155392 550462416 551656742 554687823 570936576 573091584 581967552 596334284 599610846 617175552 618514624 629099904 630464848 668606848 678962144 681524896 699545987 706873856 733949888 739583764 761248768 764122112 775956736 799481128 827485113 838799872 894501426 927771936 945697272 1002910272 1018443216 1022287344 1060310784 1100924832 1103313484 1109375646 1141873152 1146183168 1163935104 1192668568 1199221692 1234351104 1237029248 1258199808 1260929696 1294271587 1299156833 1337213696 1357924288 1363049792 1399091974 1413747712 1467899776 1479167528 1551913472 1598962256 1654970226 1677599744 1789002852 1855543872 1891394544 2005820544 2036886432 2044574688 2098637961 2120621568 2201849664 2206626968 2218751292 2283746304 2292366336 2327870208 2385337136 2398443384 2403647233 2474058496 2516399616 2521859392 2588543174 2598313666 2674427392 2715848576 2726099584 2798183948 2852247221 2935799552 2958335056 3103826944 3197924512 3309940452 3578005704 3711087744 3782789088 3882814761 3897470499 4011641088 4073772864 4089149376 4197275922 4241243136 4403699328 4413253936 4437502584 4655740416 4770674272 4796886768 4807294466 4948116992 5032799232 5043718784 5177086348 5196627332 5348854784 5431697152 5452199168 5596367896 5704494442 5871599104 5916670112 6395849024 6619880904 7156011408 7210941699 7422175488 7565578176 7765629522 7794940998 8023282176 8147545728 8178298752 8394551844 8556741663 8807398656 8826507872 8875005168 9094097831 9311480832 9541348544 9593773536 9614588932 9896233984 10087437568 10354172696 10393254664 10863394304 10904398336 11192735792 11408988884 11743198208 11833340224 12791698048 13239761808 14312022816 14421883398 14844350976 15131156352 15531259044 15589881996 16046564352 16295091456 16356597504 16789103688 16825530631 17113483326 17614797312 17653015744 17750010336 18188195662 19082697088 19187547072 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142000082688 145505565296 148316855492 152661576704 153500376576 153833422912 159725844376 165666763136 166292074624 173987080481 179083772672 182543822144 189333443584 201906367572 211836188928 218258347944 222475283238 228992365056 230750134368 239588766564 248500144704 249438111936 259554497111 268625659008 269208490096 273815733216 282448251904 284000165376 291011130592 296633710984 307000753152 307666845824 319451688752 331333526272 332584149248 347974160962 358167545344 365087644288 403812735144 423672377856 436516695888 444950566476 457984730112 461500268736 479177533128 497000289408 498876223872 519108994222 521961241443 537251318016 538416980192 547631466432 568000330752 582022261184 593267421968 615333691648 638903377504 662667052544 665168298496 695948321924 716335090688 730175288576 778663491333 807625470288 847344755712 873033391776 889901132952 923000537472 958355066256 994000578816 997752447744 1038217988444 1043922482886 1074502636032 1076833960384 1095262932864 1164044522368 1186534843936 1217909563367 1230667383296 1277806755008 1325334105088 1330336596992 1391896643848 1460350577152 1557326982666 1615250940576 1746066783552 1779802265904 1846001074944 1916710132512 1988001157632 1995504895488 2076435976888 2087844965772 2149005272064 2153667920768 2190525865728 2261832046253 2328089044736 2373069687872 2435819126734 2461334766592 2555613510016 2783793287696 2920701154304 3114653965332 3230501881152 3492133567104 3559604531808 3653728690101 3692002149888 3833420265024 3976002315264 3991009790976 4152871953776 4175689931544 4307335841536 4381051731456 4523664092506 4656178089472 4746139375744 4871638253468 5111227020032 5567586575392 6229307930664 6461003762304 6785496138759 6984267134208 7119209063616 7307457380202 7384004299776 7666840530048 8305743907552 8351379863088 8614671683072 8762103462912 9047328185012 9312356178944 9492278751488 9743276506936 10222454040064 11135173150784 12458615861328 12922007524608 13570992277518 13968534268416 14238418127232 14614914760404 15333681060096 15832824323771 16611487815104 16702759726176 17229343366144 18094656370024 18984557502976 19486553013872 20444908080128 22270346301568 24917231722656 25844015049216 27141984555036 27937068536832 28476836254464 29229829520808 30667362120192 31665648647542 33222975630208 33405519452352 36189312740048 37969115005952 38973106027744 44540692603136 47498472971313 49834463445312 51688030098432 54283969110072 56953672508928 58459659041616 61334724240384 63331297295084 66445951260416 66811038904704 72378625480096 77946212055488 89081385206272 94996945942626 99668926890624 108567938220144 113907345017856 116919318083232 126662594590168 132891902520832 133622077809408 144757250960192 155892424110976 178162770412544 189993891885252 199337853781248 217135876440288 233838636166464 253325189180336 265783805041664 267244155618816 289514501920384 311784848221952 379987783770504 398675707562496 434271752880576 467677272332928 506650378360672 534488311237632 579029003840768 623569696443904 759975567541008 797351415124992 868543505761152 935354544665856 1013300756721344 1158058007681536 1247139392887808 1519951135082016 1737087011522304 1870709089331712 2026601513442688 2316116015363072 3039902270164032 3474174023044608 3741418178663424 4053203026885376 6079804540328064 6948348046089216 8106406053770752 12159609080656128 16212812107541504 24319218161312256 48638436322624512
• Sum of all divisors σ(n): 162437207172855552
• Sum of proper divisors (its aliquot sum) s(n): 113798770850231040
• 48638436322624512 is an abundant number, because the sum of its proper divisors (113798770850231040) is greater than itself. Its abundance is 65160334527606528

Bases of 48638436322624512

• Binary: 10101100110011000110011001101111011100001100010000000000₂
• Hexadecimal: 0xACCC666F70C400
• Base-36: DAWVX6JA22O

Squares and roots of 48638436322624512

• 48638436322624512 squared (48638436322624512²) is 2365697487909999461973039743238144
• 48638436322624512 cubed (48638436322624512³) is 115063826624303280167799603616259404021595507785728
• The square root of 48638436322624512 is 220541234.9712055821
• The cube root of 48638436322624512 is 365028.2991072311

Scales and comparisons

• 48,638,436,322,624,512 seconds is equal to 1,546,551,826 years, 25 weeks, 6 days, 4 hours, 35 minutes, 12 seconds.
• To count from 1 to 48,638,436,322,624,512 would take you about four billion, six hundred thirty-nine million, six hundred fifty-five thousand, four hundred seventy-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 48638436322624512 cubic inches would be around 30419 feet tall.

Recreational maths with 48638436322624512

• 48638436322624512 backwards is 21542622363483684
• The number of decimal digits it has is: 17
• The sum of 48638436322624512's digits is 69
• More coming soon!