48135479148319680
48,135,479,148,319,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48135479148319680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
48135479148319680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 48135479148319680:
26 × 33 × 5 × 13 × 23 × 31 × 683 × 880031
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 23 × 31 × 683 × 880031)See below for interesting mathematical facts about the number 48135479148319680 from the Numbermatics database.
Names of 48135479148319680
- Cardinal: 48135479148319680 can be written as Forty-eight quadrillion, one hundred thirty-five trillion, four hundred seventy-nine billion, one hundred forty-eight million, three hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.813547914831968 × 1016
Factors of 48135479148319680
Divisors of 48135479148319680
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 31 32 36 39 40 45 46 48 52 54 60 62 64 65 69 72 78 80 90 92 93 96 104 108 115 117 120 124 130 135 138 144 155 156 160 180 184 186 192 195 207 208 216 230 234 240 248 260 270 276 279 288 299 310 312 320 345 351 360 368 372 390 403 414 416 432 460 465 468 480 496 520 540 552 558 576 585 598 620 621 624 683 690 702 713 720 736 744 780 806 828 832 837 864 897 920 930 936 960 992 1035 1040 1080 1104 1116 1170 1196 1209 1240 1242 1248 1366 1380 1395 1404 1426 1440 1472 1488 1495 1560 1612 1656 1674 1728 1755 1794 1840 1860 1872 1984 2015 2049 2070 2080 2139 2160 2208 2232 2340 2392 2418 2480 2484 2496 2691 2732 2760 2790 2808 2852 2880 2976 2990 3105 3120 3224 3312 3348 3415 3510 3565 3588 3627 3680 3720 3744 4030 4098 4140 4160 4185 4278 4320 4416 4464 4485 4680 4784 4836 4960 4968 5382 5464 5520 5580 5616 5704 5952 5980 6045 6147 6210 6240 6417 6448 6624 6696 6830 7020 7130 7176 7254 7360 7440 7488 8060 8073 8196 8280 8370 8556 8640 8879 8928 8970 9269 9360 9568 9672 9920 9936 10245 10695 10764 10881 10928 11040 11160 11232 11408 11960 12090 12294 12420 12480 12834 12896 13248 13392 13455 13660 14040 14260 14352 14508 14880 15709 16120 16146 16392 16560 16740 17112 17758 17856 17940 18135 18441 18538 18720 19136 19251 19344 19872 20490 21173 21390 21528 21762 21856 22080 22320 22464 22816 23920 24180 24588 24840 25668 25792 26637 26784 26910 27320 27807 28080 28520 28704 29016 29760 30735 31418 32085 32240 32292 32784 33120 33480 34224 35516 35880 36270 36882 37076 37440 38502 38688 39744 40365 40980 42346 42780 43056 43524 43712 44395 44640 45632 46345 47127 47840 48360 49176 49680 51336 53274 53568 53820 54405 54640 55614 56160 57040 57408 58032 61470 62836 63519 64170 64480 64584 65568 66240 66960 68448 71032 71760 72540 73764 74152 77004 77376 78545 79911 80730 81960 83421 84692 85560 86112 87048 88790 89280 92205 92690 94254 95680 96255 96720 98352 99360 102672 105865 106548 107640 108810 109280 111228 112320 114080 116064 122940 125672 127038 128340 128960 129168 131136 133185 133920 136896 139035 141381 142064 143520 145080 147528 148304 154008 157090 159822 161460 163920 166842 169384 171120 172224 174096 177580 184410 185380 188508 190557 192510 193440 196704 198720 204217 205344 211730 213096 215280 217620 218560 222456 228160 232128 235635 239733 245880 250263 251344 254076 256680 258336 266370 267840 275249 278070 282762 284128 287040 290160 295056 296608 308016 314180 317595 319644 322920 327840 333684 338768 342240 348192 355160 368820 370760 377016 381114 385020 386880 393408 399555 408434 410688 417105 423460 424143 426192 430560 435240 444912 471270 479466 486979 491760 500526 502688 508152 513360 516672 532740 550498 556140 565524 568256 571671 580320 590112 593216 612651 616032 628360 635190 639288 645840 655680 667368 677536 684480 696384 706905 710320 737640 741520 754032 762228 770040 799110 816868 825747 834210 846920 848286 852384 861120 870480 880031 889824 942540 952785 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51069958992 54095505570 54697481280 55297627916 55898689089 56471589270 56744398880 56835922104 57701872608 58293253440 58926875760 60236361888 62510361992 63151024560 63837448740 64914606684 65256058712 67765907124 68093278656 69122034895 70324157241 71044902630 72127340760 73413066051 74531585452 75295452360 75781229472 76604938488 78137952490 78569167680 81143258355 81570073390 82946441874 84201366080 84707383905 85116598320 86552808912 87439880160 90354542832 93164481815 93765542988 94726536840 95756173110 96169787680 97884088068 98845081920 100393936480 102139917984 108191011140 110595255832 111797378178 112943178540 113488797760 113671844208 115403745216 117206928735 117853751520 120472723776 122355110085 124419662811 125020723984 126302049120 127674897480 129829213368 130512117424 135531814248 138244069790 140648314482 142089805260 144254681520 146826132102 149063170904 150590904720 151562458944 153209876976 156275904980 162286516710 163140146780 165892883748 167696067267 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522048469696 539151872181 542127256992 552976279160 558986890890 562593257928 568359221040 577018726080 587304528408 596252683616 602363618880 612839507904 622098314055 625103619920 649146066840 652560587120 663571534992 670784269068 677659071240 703241572410 718869162908 726682958157 734130660510 745315854520 746517976866 750124343904 757812294720 766049384880 783072704544 829464418740 838480336335 843889886892 857113232698 865528089120 880956792612 884762046656 894379025424 898586453635 903545428320 937655429880 968910610876 978840880680 995357302488 1006176403602 1021399179840 1038633706944 1054862358615 1078303744362 1084254513984 1101195990765 1105952558320 1117973781780 1125186515856 1136718442080 1174609056816 1192505367232 1211138263595 1244196628110 1250207239840 1285669849047 1298292133680 1305121174240 1327143069984 1341568538136 1355318142480 1406483144820 1437738325816 1453365916314 1468261321020 1490631709040 1493035953732 1500248687808 1532098769760 1566145409088 1617455616543 1658928837480 1676960672670 1687779773784 1714226465396 1731056178240 1761913585224 1788758050848 1797172907270 1807090856640 1866294942165 1875310859760 1937821221752 1957681761360 1990714604976 2012352807204 2109724717230 2142783081745 2156607488724 2180048874471 2202391981530 2211905116640 2235947563560 2250373031712 2273436884160 2349218113632 2422276527190 2488393256220 2500414479680 2515441009005 2571339698094 2596584267360 2610242348480 2654286139968 2683137076272 2695759360905 2710636284960 2812966289640 2875476651632 2906731832628 2936522642040 2981263418080 2986071907464 3064197539520 3234911233086 3317857674960 3353921345340 3375559547568 3428452930792 3523827170448 3577516101696 3594345814540 3633414790785 3732589884330 3750621719520 3857009547141 3875642443504 3915363522720 3981429209952 4024705614408 4219449434460 4285566163490 4313214977448 4360097748942 4404783963060 4423810233280 4471895127120 4500746063424 4698436227264 4844553054380 4852366849629 4976786512440 5030882018010 5142679396188 5193168534720 5366274152544 5391518721810 5421272569920 5571236012537 5625932579280 5750953303264 5813463665256 5873045284080 5962526836160 5972143814928 6428349245235 6469822466172 6540146623413 6635715349920 6707842690680 6751119095136 6856905861584 7047654340896 7188691629080 7266829581570 7465179768660 7501243439040 7714019094282 7751284887008 7830727045440 7962858419904 8049411228816 8087278082715 8438898868920 8571132326980 8626429954896 8720195497884 8809567926120 8943790254240 9689106108760 9704733699258 9953573024880 10061764036020 10285358792376 10732548305088 10783037443620 10900244372355 11142472025074 11251865158560 11501906606528 11571028641423 11626927330512 11746090568160 11944287629856 12856698490470 12939644932344 13080293246826 13271430699840 13415685381360 13502238190272 13713811723168 14095308681792 14377383258160 14533659163140 14930359537320 15428038188564 15502569774016 16098822457632 16174556165430 16713708037611 16877797737840 17142264653960 17252859909792 17440390995768 17619135852240 17887580508480 19285047735705 19378212217520 19409467398516 19907146049760 20123528072040 20570717584752 21566074887240 21800488744710 22284944050148 22503730317120 23142057282846 23253854661024 23492181136320 23888575259712 24261834248145 25713396980940 25879289864688 26160586493652 26831370762720 27427623446336 27856180062685 28754766516320 29067318326280 29860719074640 30856076377128 32197644915264 32349112330860 32700733117065 33427416075222 33755595475680 34284529307920 34505719819584 34880781991536 35238271704480 38570095471410 38756424435040 38818934797032 39814292099520 40247056144080 41141435169504 43132149774480 43600977489420 44569888100296 46284114565692 46507709322048 48523668496290 50141124112833 51426793961880 51758579729376 52321172987304 53662741525440 55712360125370 57509533032640 57855143207115 58134636652560 59721438149280 61712152754256 64698224661720 65401466234130 66854832150444 67511190951360 68569058615840 69761563983072 70476543408960 77140190942820 77512848870080 77637869594064 80494112288160 82282870339008 83568540188055 86264299548960 87201954978840 89139776200592 92568229131384 97047336992580 100282248225666 102853587923760 103517159458752 104642345974608 111424720250740 115710286414230 116269273305120 119442876298560 123424305508512 129396449323440 130802932468260 133709664300888 137138117231680 139523127966144 150423372338499 154280381885640 155275739188128 160988224576320 167137080376110 172528599097920 174403909957680 178279552401184 185136458262768 194094673985160 200564496451332 205707175847520 209284691949216 222849440501480 231420572828460 232538546610240 246848611017024 250705620564165 258792898646880 261605864936520 267419328601776 300846744676998 308560763771280 310551478376256 334274160752220 348807819915360 356559104802368 370272916525536 388189347970320 401128992902664 411414351695040 418569383898432 445698881002960 462841145656920 501411241128330 517585797293760 523211729873040 534838657203552 601693489353996 617121527542560 668548321504440 697615639830720 740545833051072 752116861692495 776378695940640 802257985805328 891397762005920 925682291313840 1002822482256660 1046423459746080 1069677314407104 1203386978707992 1234243055085120 1337096643008880 1504233723384990 1552757391881280 1604515971610656 1782795524011840 1851364582627680 2005644964513320 2092846919492160 2406773957415984 2674193286017760 3008467446769980 3209031943221312 3702729165255360 4011289929026640 4813547914831968 5348386572035520 6016934893539960 8022579858053280 9627095829663936 12033869787079920 16045159716106560 24067739574159840 48135479148319680
- Sum of all divisors σ(n): 197268973399572480
- Sum of proper divisors (its aliquot sum) s(n): 149133494251252800
- 48135479148319680 is an abundant number, because the sum of its proper divisors (149133494251252800) is greater than itself. Its abundance is 100998015102933120
Bases of 48135479148319680
- Binary: 101010110000001011110110100101111011101010010011110000002
- Hexadecimal: 0xAB02F697BA93C0
- Base-36: D5YLPUFO1C0
Squares and roots of 48135479148319680
- 48135479148319680 squared (481354791483196802) is 2317024352838318705852167475302400
- 48135479148319680 cubed (481354791483196803) is 111531077422197791026040706801909301092859871232000
-
The
square root of 48135479148319680 is 219397992.5804237617 -
The
cube root of 48135479148319680 is 363765.7167582095
Scales and comparisons
How big is 48135479148319680?- 48,135,479,148,319,680 seconds is equal to 1,530,559,344 years, 5 weeks, 2 days, 16 hours, 48 minutes.
-
To count from 1 to 48,135,479,148,319,680 would take you about four billion, five hundred ninety-one million, six hundred seventy-eight thousand and thirty-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 48135479148319680 cubic inches would be around 30313.8 feet tall.
Recreational maths with 48135479148319680
- 48135479148319680 backwards is 08691384197453184
- The number of decimal digits it has is: 17
- The sum of 48135479148319680's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 48135479148319680 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 48135479148319680 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/48135479148319680/
Chicago style:
Numbermatics. 2024. "Number 48135479148319680 - Facts about the integer". https://numbermatics.com/n/48135479148319680/
The information we have on file for 48135479148319680 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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