48838989798144
48,838,989,798,144 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48838989798144 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
48838989798144 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48838989798144:
28 × 32 × 7 × 13 × 17 × 79 × 107 × 1621
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 79 × 107 × 1621)See below for interesting mathematical facts about the number 48838989798144 from the Numbermatics database.
Names of 48838989798144
- Cardinal: 48838989798144 can be written as Forty-eight trillion, eight hundred thirty-eight billion, nine hundred eighty-nine million, seven hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8838989798144 × 1013
Factors of 48838989798144
Divisors of 48838989798144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 79 84 91 96 102 104 107 112 117 119 126 128 136 144 153 156 158 168 182 192 204 208 214 221 224 234 237 238 252 256 272 273 288 306 312 316 321 336 357 364 384 408 416 428 442 448 468 474 476 504 544 546 553 576 612 624 632 642 663 672 711 714 728 749 768 816 819 832 856 884 896 936 948 952 963 1008 1027 1071 1088 1092 1106 1152 1224 1248 1264 1284 1326 1343 1344 1391 1422 1428 1456 1498 1547 1621 1632 1638 1659 1664 1712 1768 1792 1819 1872 1896 1904 1926 1989 2016 2054 2142 2176 2184 2212 2247 2304 2448 2496 2528 2568 2652 2686 2688 2782 2844 2856 2912 2996 3081 3094 3242 3264 3276 3318 3328 3424 3536 3638 3744 3792 3808 3852 3978 4029 4032 4108 4173 4284 4352 4368 4424 4494 4641 4863 4896 4977 4992 5056 5136 5304 5372 5376 5457 5564 5688 5712 5824 5992 6162 6188 6484 6528 6552 6636 6741 6848 7072 7189 7276 7488 7584 7616 7704 7956 8058 8064 8216 8346 8453 8568 8736 8848 8988 9243 9282 9401 9726 9737 9792 9954 9984 10112 10272 10608 10744 10914 11128 11347 11376 11424 11648 11984 12087 12324 12376 12519 12733 12968 13056 13104 13272 13482 13696 13923 14144 14378 14552 14589 14976 15168 15232 15408 15912 16116 16128 16371 16432 16692 16906 17136 17459 17472 17696 17976 18486 18564 18802 19452 19474 19584 19908 20224 20544 21073 21216 21488 21567 21828 22256 22694 22752 22848 23296 23647 23968 24174 24648 24752 25038 25359 25466 25936 26208 26544 26964 27392 27557 27846 28203 28288 28756 29104 29178 29211 29952 30336 30464 30816 31824 32232 32742 32864 33384 33812 34041 34272 34918 34944 35392 35952 36972 37128 37604 38199 38904 38948 39168 39816 41088 42146 42432 42976 43134 43656 44512 45388 45504 45696 47294 47936 48348 49296 49504 50076 50718 50932 51872 52377 52416 53088 53928 55114 55692 56406 56576 57512 58208 58356 58422 59171 60672 61632 63219 63648 64464 64701 65484 65728 66768 67624 68082 68544 69836 69888 70784 70941 71904 73944 74256 75208 76077 76398 77808 77896 79632 82176 82671 84292 84609 84864 85952 86268 87312 87633 89024 90776 91008 91392 94588 95872 96696 98592 99008 100152 101436 101864 102123 103744 104754 104832 106176 107856 109889 110228 111384 112812 114597 115024 116416 116712 116844 118342 122213 123264 126438 127296 128059 128928 129402 130968 131456 133536 135248 136164 137088 139672 141568 141882 143701 143808 147511 147888 148512 150416 152154 152796 155616 155792 157131 159264 165342 165529 168584 169218 169728 171904 172536 173447 174624 175266 177513 178048 181552 182016 189176 189657 191744 192899 193392 197184 198016 200304 202872 203728 204246 207488 209508 209664 212352 212823 215712 219778 220456 222768 225624 229194 230048 232832 233424 233688 236684 244426 246528 248013 252876 254592 256118 257856 258804 261936 262912 267072 270496 272328 274176 279344 283764 287402 287616 295022 295776 297024 300832 304308 305592 311232 311584 314262 318528 329667 330684 331058 337168 338436 343808 345072 346894 349248 350532 355026 356096 358241 363104 366639 378352 379314 384177 385798 386784 394368 396032 400608 405744 407456 408492 414976 419016 424704 425646 431103 431424 439556 440912 442533 445536 451248 458388 460096 465664 466848 467376 473368 488852 496026 496587 505752 509184 512236 515712 517608 520341 523872 532539 534144 540992 544656 558688 567528 574804 575232 578697 590044 591552 594048 601664 608616 611184 622464 623168 628524 637056 659334 661368 662116 674336 676872 690144 693788 698496 701064 710052 716482 726208 733278 756704 758628 768354 769223 771596 773568 788736 801216 811488 814912 816984 838032 851292 862206 862848 879112 881824 885066 891072 896413 902496 916776 920192 933696 934752 946736 977704 989001 992052 993174 1005907 1011504 1024472 1031424 1035216 1040682 1047744 1065078 1068288 1074723 1081984 1089312 1099917 1117376 1135056 1149608 1152531 1157394 1180088 1183104 1188096 1203328 1214129 1217232 1222368 1244928 1246336 1257048 1274112 1293309 1318668 1322736 1324232 1327599 1348672 1353744 1380288 1387576 1396992 1402128 1420104 1432964 1452416 1466556 1489761 1513408 1517256 1536708 1538446 1543192 1547136 1561023 1602432 1622976 1629824 1633968 1664767 1676064 1702584 1724412 1725696 1736091 1758224 1763648 1770132 1782144 1792826 1804992 1833552 1840384 1867392 1868113 1869504 1893472 1955408 1978002 1984104 1986348 2011814 2023008 2048944 2070432 2081364 2095488 2130156 2149446 2163968 2177003 2178624 2199834 2234752 2254811 2270112 2299216 2305062 2307669 2314788 2360176 2366208 2406656 2428258 2434464 2444736 2492672 2507687 2514096 2586618 2637336 2645472 2648464 2655198 2689239 2697344 2707488 2760576 2775152 2804256 2840208 2865928 2904832 2933112 2948599 2979522 3017721 3026816 3034512 3073416 3076892 3086384 3094272 3122046 3204864 3224169 3245952 3259648 3267936 3329534 3352128 3405168 3448824 3472182 3516448 3527296 3540264 3564288 3585652 3609984 3642387 3667104 3734784 3736226 3739008 3786944 3910816 3956004 3968208 3972696 4023628 4046016 4097888 4140864 4162728 4190976 4260312 4298892 4354006 4357248 4399668 4469504 4509622 4540224 4598432 4610124 4615338 4629576 4720352 4856516 4868928 4889472 4994301 5015374 5028192 5173236 5274672 5290944 5296928 5310396 5378478 5394688 5414976 5521152 5550304 5604339 5608512 5680416 5731856 5866224 5897198 5959044 6035442 6053632 6069024 6146832 6153784 6172768 6244092 6448338 6491904 6531009 6535872 6659068 6704256 6764433 6810336 6897648 6923007 6944364 7032896 7054592 7080528 7171304 7219968 7284774 7334208 7472452 7478016 7523061 7573888 7821632 7912008 7936416 7945392 8047256 8067717 8092032 8195776 8281728 8325456 8520624 8597784 8708012 8714496 8799336 8845797 9019244 9053163 9080448 9196864 9220248 9230676 9259152 9440704 9713032 9737856 9778944 9988602 10030748 10056384 10346472 10549344 10581888 10593856 10620792 10756956 10829952 10927161 11100608 11208678 11217024 11360832 11463712 11653369 11732448 11794396 11918088 12070884 12138048 12293664 12307568 12345536 12488184 12896676 13062018 13071744 13076791 13318136 13408512 13528866 13620672 13702313 13795296 13846014 13888728 14065792 14161056 14342608 14569548 14668416 14944904 14982903 15046122 15147776 15239021 15643264 15783677 15824016 15872832 15890784 16094512 16135434 16184064 16391552 16563456 16650912 16813017 17041248 17195568 17416024 17598672 17691594 18038488 18106326 18160896 18393728 18440496 18461352 18518304 18881408 19426064 19475712 19593027 19977204 20061496 20112768 20293299 20640193 20692944 21098688 21163776 21187712 21241584 21513912 21659904 21854322 22201216 22417356 22434048 22569183 22721664 22927424 23306738 23464896 23588792 23836176 24141768 24276096 24587328 24615136 24691072 24976368 25793352 26124036 26143488 26153582 26537391 26636272 27057732 27241344 27404626 27590592 27692028 27777456 28131584 28301039 28322112 28685216 29139096 29336832 29889808 29965806 30092244 30478042 31286528 31567354 31648032 31745664 31781568 32189024 32270868 32783104 33301824 33626034 34082496 34391136 34832048 34960107 35197344 35383188 36076976 36212652 36787456 36880992 36922704 37036608 37762816 38331787 38852128 39186054 39230373 39954408 40122992 40225536 40586598 41106939 41280386 41385888 42197376 42375424 42483168 43027824 43708644 44402432 44834712 45138366 45443328 45717063 45854848 46613476 46929792 47177584 47351031 47672352 48283536 48552192 49174656 49230272 49382144 49952736 51586704 52248072 52307164 53074782 53272544 54115464 54482688 54809252 55181184 55384056 55554912 56602078 56644224 57370432 58278192 59779616 59931612 60184488 60956084 61920579 63134708 63296064 63491328 63563136 64378048 64541736 66603648 67252068 68164992 68782272 69664096 69920214 70394688 70766376 72153952 72425304 73761984 73845408 74073216 76663574 77704256 78372108 78460746 79908816 80245984 81173196 82213878 82560772 82771776 84394752 84903117 84966336 86055648 87417288 89669424 90276732 91434126 91709696 93226952 93859584 94355168 94702062 95344704 95916191 96567072 98349312 98460544 99905472 103173408 104496144 104614328 104880321 106149564 106545088 108230928 109618504 110362368 110768112 111109824 113204156 113288448 114740864 114995361 116556384 117691119 119559232 119863224 120368976 121912168 123320817 123841158 126269416 126592128 127126272 128756096 129083472 133207296 134504136 136329984 137151189 137564544 139328192 139840428 140789376 141532752 142053093 144307904 144850608 147523968 147690816 148146432 153327148 155408512 156744216 156921492 159817632 160491968 162346392 164427756 165121544 165543552 169806234 169932672 172111296 174834576 178130069 179338848 180553464 182868252 185761737 186453904 188710336 189404124 190689408 191832382 193134144 196921088 198107273 199810944 206346816 208992288 209228656 209760642 212299128 213090176 216461856 219237008 221536224 222219648 226408312 229481728 229990722 232939321 233112768 235382238 239118464 239726448 240737952 243824336 246641634 247682316 252538832 253184256 254709351 257512192 258166944 268322509 269008272 274302378 275129088 278656384 279680856 281578752 283065504 284106186 287748573 288615808 289701216 295047936 295381632 306654296 310817024 313488432 313842984 319635264 320983936 324692784 328855512 330243088 331087104 339612468 339865344 344222592 344986083 349669152 356260138 358677696 361106928 365736504 371523474 372907808 377420672 378808248 381378816 383664764 386268288 396214546 399621888 412693632 417984576 418457312 419521284 424598256 426180352 432923712 438474016 443072448 444439296 452816624 459981444 465878642 466225536 470764476 478236928 479452896 481475904 487648672 493283268 495364632 505077664 509418702 516333888 534390207 536645018 538016544 548604756 557312768 559361712 566131008 568212372 575497146 577231616 579402432 590763264 594321819 613308592 626976864 627685968 639270528 641967872 649385568 657711024 660486176 679224936 688445184 689972166 698817963 699338304 712520276 717355392 722213856 731473008 743046948 745815616 754841344 757616496 767329528 772536576 792429092 804967527 825387264 835969152 836914624 839042568 849196512 863245719 865847424 876948032 886144896 905633248 919962888 931757284 932451072 941528952 958905792 962951808 975297344 986566536 990729264 1010155328 1018837404 1032667776 1068780414 1073290036 1076033088 1097209512 1118723424 1132262016 1136424744 1150994292 1158804864 1188643638 1226617184 1246910483 1253953728 1255371936 1278541056 1298771136 1315422048 1320972352 1358449872 1379944332 1397635926 1398676608 1425040552 1434710784 1444427712 1462946016 1486093896 1491631232 1515232992 1534659056 1584858184 1603170621 1609935054 1630575247 1671938304 1673829248 1678085136 1698393024 1726491438 1731694848 1753896064 1772289792 1782965457 1811266496 1839925776 1863514568 1883057904 1917811584 1925903616 1950594688 1973133072 1981458528 2020310656 2037674808 2065335552 2096453889 2137560828 2146580072 2152066176 2194419024 2237446848 2264524032 2272849488 2301988584 2317609728 2377287276 2414902581 2453234368 2493820966 2507907456 2510743872 2597542272 2630844096 2641944704 2716899744 2759888664 2795271852 2797353216 2850081104 2888855424 2925892032 2972187792 2983262464 3028211173 3030465984 3069318112 3169716368 3206341242 3219870108 3261150494 3347658496 3356170272 3396786048 3452982876 3507792128 3565930914 3622532992 3679851552 3727029136 3740731449 3766115808 3835623168 3901189376 3946266144 3962917056 4040621312 4075349616 4192907778 4275121656 4293160144 4304132352 4388838048 4474893696 4545698976 4603977168 4754574552 4829805162 4891725741 4906468736 4987641932 5015814912 5021487744 5195084544 5261688192 5283889408 5433799488 5519777328 5590543704 5700162208 5777710848 5851784064 5944375584 6056422346 6060931968 6138636224 6339432736 6412682484 6439740216 6522300988 6712340544 6793572096 6905965752 7131861828 7245065984 7359703104 7454058272 7481462898 7532231616 7892532288 7925834112 8150699232 8385815556 8550243312 8586320288 8777676096 8949787392 9084633519 9091397952 9207954336 9509149104 9659610324 9783451482 9812937472 9975283864 10042975488 10523376384 10867598976 11039554656 11181087408 11222194347 11400324416 11703568128 11888751168 12112844692 12121863936 12277272448 12678865472 12825364968 12879480432 13044601976 13424681088 13811931504 14263723656 14675177223 14719406208 14908116544 14962925796 15064463232 15785064576 15851668224 16301398464 16771631112 17100486624 17172640576 17555352192 18169267038 18182795904 18415908672 19018298208 19319220648 19566902964 19950567728 21197478211 21735197952 22079109312 22362174816 22444388694 22800648832 23777502336 24225689384 24554544896 25357730944 25650729936 25758960864 26089203952 26849362176 27253900557 27623863008 28527447312 29350354446 29438812416 29816233088 29925851592 30128926464 31570129152 32602796928 33543262224 34200973248 34345281152 35110704384 36338534076 36365591808 36831817344 38036596416 38638441296 39133805928 39901135456 42394956422 44158218624 44724349632 44888777388 45601297664 47555004672 48451378768 50715461888 51301459872 51517921728 52178407904 54507801114 55247726016 57054894624 58700708892 59632466176 59851703184 63592434633 65205593856 67086524448 68401946496 68690562304 72677068152 73663634688 76073192832 77276882592 78267611856 79802270912 84789912844 88316437248 89448699264 89777554776 96902757536 102602919744 103035843456 104356815808 109015602228 110495452032 114109789248 117401417784 119703406368 127184869266 134173048896 136803892992 145354136304 152146385664 154553765184 156535223712 159604541824 169579825688 178897398528 179555109552 190777303899 193805515072 205205839488 206071686912 208713631616 218031204456 220990904064 228219578496 234802835568 239406812736 254369738532 268346097792 290708272608 309107530368 313070447424 319209083648 339159651376 359110219104 381554607798 387611030144 410411678976 417427263232 436062408912 456439156992 469605671136 478813625472 508739477064 536692195584 581416545216 618215060736 626140894848 678319302752 718220438208 763109215596 775222060288 872124817824 939211342272 957627250944 1017478954128 1162833090432 1252281789696 1356638605504 1436440876416 1526218431192 1744249635648 1878422684544 2034957908256 2325666180864 2713277211008 2872881752832 3052436862384 3488499271296 3756845369088 4069915816512 5426554422016 6104873724768 6976998542592 8139831633024 12209747449536 16279663266048 24419494899072 48838989798144
- Sum of all divisors σ(n): 187680595415040
- Sum of proper divisors (its aliquot sum) s(n): 138841605616896
- 48838989798144 is an abundant number, because the sum of its proper divisors (138841605616896) is greater than itself. Its abundance is 90002615818752
Bases of 48838989798144
- Binary: 10110001101011001101101010001101011011000000002
- Hexadecimal: 0x2C6B36A35B00
- Base-36: HB8BLJGG0
Squares and roots of 48838989798144
- 48838989798144 squared (488389897981442) is 2385246924503213709865844736
- 48838989798144 cubed (488389897981443) is 116493050211866806151480185784376684969984
-
The
square root of 48838989798144 is 6988489.8081161999 -
The
cube root of 48838989798144 is 36552.9324695473
Scales and comparisons
How big is 48838989798144?- 48,838,989,798,144 seconds is equal to 1,552,928 years, 41 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
-
To count from 1 to 48,838,989,798,144 would take you about three million, eight hundred eighty-two thousand, three hundred twenty-two 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 48838989798144 cubic inches would be around 3046.1 feet tall.
Recreational maths with 48838989798144
- 48838989798144 backwards is 44189798983884
- The number of decimal digits it has is: 14
- The sum of 48838989798144's digits is 90
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48838989798144 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 48838989798144 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48838989798144/
Chicago style:
Numbermatics. 2024. "Number 48838989798144 - Facts about the integer". https://numbermatics.com/n/48838989798144/
The information we have on file for 48838989798144 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 48838989798144, math, Factors of 48838989798144, curriculum, school, college, exams, university, Prime factorization of 48838989798144, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, eight hundred thirty-eight billion, nine hundred eighty-nine million, seven hundred ninety-eight thousand, one hundred forty-four.