3948228998737920
3,948,228,998,737,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 3948228998737920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
3948228998737920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 3948228998737920:
212 × 33 × 5 × 132 × 53 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 53 × 797161)See below for interesting mathematical facts about the number 3948228998737920 from the Numbermatics database.
Names of 3948228998737920
- Cardinal: 3948228998737920 can be written as Three quadrillion, nine hundred forty-eight trillion, two hundred twenty-eight billion, nine hundred ninety-eight million, seven hundred thirty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.94822899873792 × 1015
Factors of 3948228998737920
Divisors of 3948228998737920
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 53 54 60 64 65 72 78 80 90 96 104 106 108 117 120 128 130 135 144 156 159 160 169 180 192 195 208 212 216 234 240 256 260 265 270 288 312 318 320 338 351 360 384 390 416 424 432 468 477 480 507 512 520 530 540 576 585 624 636 640 676 689 702 720 768 780 795 832 845 848 864 936 954 960 1014 1024 1040 1060 1080 1152 1170 1248 1272 1280 1352 1378 1404 1431 1440 1521 1536 1560 1590 1664 1690 1696 1728 1755 1872 1908 1920 2028 2048 2067 2080 2120 2160 2304 2340 2385 2496 2535 2544 2560 2704 2756 2808 2862 2880 3042 3072 3120 3180 3328 3380 3392 3445 3456 3510 3744 3816 3840 4056 4096 4134 4160 4240 4320 4563 4608 4680 4770 4992 5070 5088 5120 5408 5512 5616 5724 5760 6084 6144 6201 6240 6360 6656 6760 6784 6890 6912 7020 7155 7488 7605 7632 7680 8112 8268 8320 8480 8640 8957 9126 9216 9360 9540 9984 10140 10176 10240 10335 10816 11024 11232 11448 11520 12168 12288 12402 12480 12720 13312 13520 13568 13780 13824 14040 14310 14976 15210 15264 15360 16224 16536 16640 16960 17280 17914 18252 18432 18603 18720 19080 19968 20280 20352 20480 20670 21632 22048 22464 22815 22896 23040 24336 24804 24960 25440 26624 26871 27040 27136 27560 27648 28080 28620 29952 30420 30528 30720 31005 32448 33072 33280 33920 34560 35828 36504 36864 37206 37440 38160 39936 40560 40704 41340 43264 44096 44785 44928 45630 45792 46080 48672 49608 49920 50880 53248 53742 54080 54272 55120 55296 56160 57240 59904 60840 61056 61440 62010 64896 66144 66560 67840 69120 71656 73008 74412 74880 76320 79872 80613 81120 81408 82680 86528 88192 89570 89856 91260 91584 92160 93015 97344 99216 99840 101760 107484 108160 108544 110240 110592 112320 114480 119808 121680 122112 124020 129792 132288 133120 134355 135680 138240 143312 146016 148824 149760 152640 159744 161226 162240 162816 165360 173056 176384 179140 179712 182520 183168 184320 186030 194688 198432 199680 203520 214968 216320 217088 220480 224640 228960 239616 241839 243360 244224 248040 259584 264576 266240 268710 271360 276480 286624 292032 297648 299520 305280 322452 324480 325632 330720 346112 352768 358280 359424 365040 366336 372060 389376 396864 399360 403065 407040 429936 432640 440960 449280 457920 479232 483678 486720 488448 496080 519168 529152 537420 542720 552960 573248 584064 595296 599040 610560 644904 648960 651264 661440 692224 705536 716560 718848 730080 732672 744120 778752 793728 797161 798720 806130 814080 859872 865280 881920 898560 915840 967356 973440 976896 992160 1038336 1058304 1074840 1085440 1146496 1168128 1190592 1198080 1209195 1221120 1289808 1297920 1322880 1411072 1433120 1437696 1460160 1465344 1488240 1557504 1587456 1594322 1612260 1628160 1719744 1730560 1763840 1797120 1831680 1934712 1946880 1953792 1984320 2076672 2116608 2149680 2292992 2336256 2381184 2391483 2396160 2418390 2442240 2579616 2595840 2645760 2822144 2866240 2920320 2930688 2976480 3115008 3174912 3188644 3224520 3256320 3439488 3461120 3527680 3594240 3663360 3869424 3893760 3968640 3985805 4233216 4299360 4585984 4672512 4762368 4782966 4836780 4884480 5159232 5191680 5291520 5732480 5840640 5861376 5952960 6230016 6349824 6377288 6449040 6878976 7055360 7174449 7188480 7326720 7738848 7787520 7937280 7971610 8466432 8598720 9171968 9345024 9524736 9565932 9673560 9768960 10318464 10363093 10383360 10583040 11464960 11681280 11905920 11957415 12699648 12754576 12898080 13757952 14110720 14348898 14653440 15477696 15575040 15874560 15943220 17197440 18343936 18690048 19049472 19131864 19347120 20636928 20726186 21166080 21523347 22929920 23362560 23811840 23914830 25399296 25509152 25796160 27515904 28697796 29306880 30955392 31089279 31150080 31749120 31886440 34394880 35872245 36687872 38098944 38263728 38694240 41273856 41452372 42249533 42332160 43046694 45859840 46725120 47623680 47829660 51018304 51592320 51815465 55031808 57395592 61910784 62178558 63498240 63772880 68789760 71744490 76197888 76527456 77388480 82547712 82904744 84499066 86093388 91719680 93267837 93450240 95247360 95659320 102036608 103184640 103630930 107616735 110063616 114791184 123821568 124357116 126748599 126996480 127545760 134720209 137579520 143488980 153054912 154776960 155446395 165095424 165809488 168998132 172186776 183439360 186535674 190494720 191318640 204073216 206369280 207261860 211247665 215233470 229582368 247643136 248714232 253497198 255091520 269440418 275159040 279803511 286977960 306109824 309553920 310892790 330190848 331618976 337996264 344373552 373071348 380245797 380989440 382637280 404160627 408146432 412738560 414523720 422495330 430466940 459164736 466339185 495286272 497428464 506994396 510183040 538880836 549243929 550318080 559607022 573955920 612219648 619107840 621785580 633742995 663237952 673601045 675992528 688747104 746142696 760491594 765274560 808321254 816292864 825477120 829047440 844990660 860933880 918329472 932678370 990572544 994856928 1013988792 1020366080 1077761672 1098487858 1119214044 1140737391 1147911840 1212481881 1224439296 1238215680 1243571160 1267485990 1326475904 1347202090 1351985056 1377494208 1399017555 1492285392 1520983188 1530549120 1616642508 1632585728 1647731787 1650954240 1658094880 1689981320 1721867760 1836658944 1865356740 1901228985 1989713856 2020803135 2027977584 2040732160 2155523344 2196975716 2238428088 2281474782 2295823680 2424963762 2448878592 2476431360 2487142320 2534971980 2652951808 2694404180 2703970112 2746219645 2754988416 2798035110 2984570784 3041966376 3061098240 3233285016 3265171456 3295463574 3316189760 3379962640 3443735520 3637445643 3673317888 3730713480 3802457970 3979427712 4041606270 4055955168 4081464320 4311046688 4393951432 4476856176 4562949564 4591647360 4849927524 4897757184 4943195361 4952862720 4974284640 5069943960 5305903616 5388808360 5407940224 5492439290 5509976832 5596070220 5703686955 5969141568 6062409405 6083932752 6122196480 6466570032 6590927148 6632379520 6759925280 6887471040 7140171077 7274891286 7346635776 7461426960 7604915940 7958855424 8083212540 8111910336 8162928640 8238658935 8622093376 8787902864 8953712352 9125899128 9183294720 9699855048 9795514368 9886390722 9948569280 10139887920 10611807232 10777616720 10815880448 10984878580 11019953664 11192140440 11407373910 11938283136 12124818810 12167865504 12244392960 12933140064 13181854296 13264759040 13519850560 13774942080 14280342154 14549782572 14693271552 14829586083 14922853920 15209831880 15917710848 16166425080 16223820672 16325857280 16477317870 17244186752 17575805728 17907424704 18187228215 18251798256 18366589440 19399710096 19772781444 19897138560 20279775840 21223614464 21420513231 21555233440 21631760896 21969757160 22039907328 22384280880 22814747820 23876566272 24249637620 24335731008 24488785920 24715976805 25866280128 26363708592 26529518080 27039701120 27549884160 28560684308 29099565144 29386543104 29659172166 29845707840 30419663760 31835421696 32332850160 32447641344 32954635740 34488373504 35151611456 35700855385 35814849408 36374456430 36503596512 36733178880 38799420192 39545562888 39794277120 40559551680 42447228928 42841026462 43110466880 43263521792 43939514320 44079814656 44768561760 45629495640 47753132544 48499275240 48671462016 48977571840 49431953610 51732560256 52727417184 53059036160 54079402240 55099768320 57121368616 58199130288 59318344332 59691415680 60839327520 63670843392 64261539693 64665700320 64895282688 65909271480 68976747008 70303222912 71401710770 71629698816 72748912860 73007193024 73466357760 74147930415 77598840384 79091125776 79588554240 81119103360 85682052924 86220933760 86527043584 87879028640 88159629312 89537123520 91258991280 95506265088 96998550480 97342924032 98863907220 103465120512 105454834368 106118072320 107102566155 108158804480 110199536640 114242737232 116398260576 118636688664 119382831360 121678655040 127341686784 128523079386 129331400640 129790565376 131818542960 137953494016 140606445824 142803421540 143259397632 145497825720 146014386048 146932715520 148295860830 155197680768 158182251552 159177108480 162238206720 171364105848 172441867520 173054087168 175758057280 179074247040 182517982560 191012530176 192784619079 193997100960 194685848064 197727814440 206930241024 210909668736 212236144640 214205132310 216317608960 220399073280 228485474464 232796521152 237273377328 238765662720 243357310080 257046158772 258662801280 259581130752 263637085920 275906988032 281212891648 285606843080 286518795264 290995651440 292028772096 296591721660 310395361536 316364503104 318354216960 321307698465 324476413440 342728211696 344883735040 351516114560 358148494080 365035965120 382025060352 385569238158 387994201920 389371696128 395455628880 413860482048 421819337472 428410264620 432635217920 440798146560 456970948928 465593042304 474546754656 477531325440 486714620160 514092317544 517325602560 519162261504 527274171840 551813976064 562425783296 571213686160 573037590528 581991302880 584057544192 593183443320 620790723072 632729006208 636708433920 642615396930 648952826880 685456423392 689767470080 703032229120 716296988160 730071930240 771138476316 775988403840 778743392256 790911257760 827720964096 843638674944 856820529240 865270435840 913941897856 931186084608 949093509312 955062650880 963923095395 973429240320 1028184635088 1034651205120 1054548343680 1124851566592 1142427372320 1146075181056 1163982605760 1168115088384 1186366886640 1241581446144 1265458012416 1285230793860 1297905653760 1370912846784 1379534940160 1406064458240 1432593976320 1460143860480 1542276952632 1551976807680 1557486784512 1581822515520 1655441928192 1687277349888 1713641058480 1827883795712 1862372169216 1898187018624 1910125301760 1927846190790 1946858480640 2056369270176 2069302410240 2109096687360 2249703133184 2284854744640 2327965211520 2336230176768 2372733773280 2483162892288 2530916024832 2570461587720 2595811307520 2741825693568 2759069880320 2812128916480 2865187952640 2920287720960 3084553905264 3103953615360 3163645031040 3374554699776 3427282116960 3655767591424 3724744338432 3796374037248 3855692381580 3893716961280 4112738540352 4138604820480 4218193374720 4569709489280 4655930423040 4672460353536 4745467546560 4966325784576 5061832049664 5140923175440 5483651387136 5624257832960 5730375905280 5840575441920 6169107810528 6207907230720 6327290062080 6749109399552 6854564233920 7311535182848 7449488676864 7592748074496 7711384763160 7787433922560 8225477080704 8277209640960 8436386749440 9139418978560 9311860846080 9490935093120 10123664099328 10281846350880 10967302774272 11248515665920 11681150883840 12338215621056 12415814461440 12654580124160 13709128467840 14623070365696 14898977353728 15185496148992 15422769526320 16450954161408 16872773498880 18278837957120 18623721692160 18981870186240 20247328198656 20563692701760 21934605548544 23362301767680 24676431242112 24831628922880 25309160248320 27418256935680 29246140731392 30370992297984 30845539052640 32901908322816 33745546997760 36557675914240 37247443384320 37963740372480 41127385403520 43869211097088 49352862484224 50618320496640 54836513871360 60741984595968 61691078105280 65803816645632 73115351828480 74494886768640 75927480744960 82254770807040 87738422194176 98705724968448 101236640993280 109673027742720 123382156210560 131607633291264 146230703656960 151854961489920 164509541614080 197411449936896 219346055485440 246764312421120 263215266582528 303709922979840 329019083228160 394822899873792 438692110970880 493528624842240 658038166456320 789645799747584 987057249684480 1316076332912640 1974114499368960 3948228998737920
- Sum of all divisors σ(n): 15486012493162560
- Sum of proper divisors (its aliquot sum) s(n): 11537783494424640
- 3948228998737920 is an abundant number, because the sum of its proper divisors (11537783494424640) is greater than itself. Its abundance is 7589554495686720
Bases of 3948228998737920
- Binary: 11100000011011100100101100101111011000110000000000002
- Hexadecimal: 0xE06E4B2F63000
- Base-36: 12VJ3D1LHC0
Squares and roots of 3948228998737920
- 3948228998737920 squared (39482289987379202) is 15588512226475038288952845926400
- 3948228998737920 cubed (39482289987379203) is 61547016019749364437764389595422737813209088000
-
The
square root of 3948228998737920 is 62834934.5407307637 -
The
cube root of 3948228998737920 is 158052.2846609509
Scales and comparisons
How big is 3948228998737920?- 3,948,228,998,737,920 seconds is equal to 125,541,469 years, 25 weeks, 1 day, 19 hours, 12 minutes.
-
To count from 1 to 3,948,228,998,737,920 would take you about three hundred seventy-six million, six hundred twenty-four thousand, four hundred eight 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 3948228998737920 cubic inches would be around 13171 feet tall.
Recreational maths with 3948228998737920
- 3948228998737920 backwards is 0297378998228493
- 3948228998737920 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3948228998737920's digits is 90
- More coming soon!
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"Number 3948228998737920 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 3948228998737920 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/3948228998737920/
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The information we have on file for 3948228998737920 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 3948228998737920, math, Factors of 3948228998737920, curriculum, school, college, exams, university, Prime factorization of 3948228998737920, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred forty-eight trillion, two hundred twenty-eight billion, nine hundred ninety-eight million, seven hundred thirty-seven thousand, nine hundred twenty.