48384642564406720
48,384,642,564,406,720 is an even composite number composed of seven prime numbers multiplied together.
48384642564406720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 48384642564406720:
26 × 5 × 11 × 13 × 472 × 3972 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 47 × 47 × 397 × 397 × 3037)See below for interesting mathematical facts about the number 48384642564406720 from the Numbermatics database.
Names of 48384642564406720
- Cardinal: 48384642564406720 can be written as Forty-eight quadrillion, three hundred eighty-four trillion, six hundred forty-two billion, five hundred sixty-four million, four hundred six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.838464256440672 × 1016
Factors of 48384642564406720
Divisors of 48384642564406720
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 47 52 55 64 65 80 88 94 104 110 130 143 160 176 188 208 220 235 260 286 320 352 376 397 416 440 470 517 520 572 611 704 715 752 794 832 880 940 1034 1040 1144 1222 1430 1504 1588 1760 1880 1985 2068 2080 2209 2288 2444 2585 2860 3008 3037 3055 3176 3520 3760 3970 4136 4160 4367 4418 4576 4888 5161 5170 5720 6074 6110 6352 6721 7520 7940 8272 8734 8836 9152 9776 10322 10340 11045 11440 12148 12220 12704 13442 15040 15185 15880 16544 17468 17672 18659 19552 20644 20680 21835 22090 22880 24296 24299 24440 25408 25805 26884 28717 30370 31760 33088 33407 33605 34936 35344 37318 39104 39481 41288 41360 43670 44180 45760 48592 48598 48880 51610 53768 56771 57434 60740 63520 66814 67210 69872 70688 74636 78962 82576 82720 87340 88360 93295 97184 97196 97760 103220 107536 113542 114868 121480 121495 127040 133628 134420 139744 141376 142739 143585 149272 157609 157924 165152 165440 167035 174680 176720 186590 194368 194392 195520 197405 205249 206440 215072 227084 229736 242567 242960 242990 267256 268840 279488 283855 285478 287170 298544 315218 315848 315887 330304 334070 349360 353440 373180 388784 394810 410498 412880 430144 434291 454168 459472 485134 485920 485980 534512 537680 567710 570956 574340 597088 630436 631696 631774 668140 698720 706880 713695 746360 777568 788045 789620 820996 825760 868582 876973 908336 918944 970268 971840 971960 1026245 1069024 1075360 1135420 1141912 1148680 1194176 1205689 1212835 1260872 1263392 1263548 1336280 1397440 1427390 1492720 1555136 1570129 1576090 1579240 1579435 1641992 1651520 1733699 1737164 1753946 1816672 1837888 1855607 1940536 1943920 2048917 2052490 2138048 2150720 2171455 2270840 2283824 2297360 2411378 2425670 2521744 2526784 2527096 2668237 2672560 2854780 2985440 3140258 3152180 3158480 3158870 3283984 3467398 3474328 3507892 3633344 3711214 3881072 3887840 4097834 4104980 4342910 4384865 4541680 4567648 4594720 4822756 4851340 5043488 5054192 5336474 5345120 5709560 5970880 6028445 6280516 6304360 6316960 6317740 6567968 6708733 6934796 6948656 7015784 7407623 7422428 7762144 7775680 7850645 8195668 8209960 8668495 8685820 8769730 9083360 9135296 9189440 9278035 9645512 9646703 9702680 10086976 10108384 10244585 10672948 10690240 11400649 11419120 12056890 12561032 12608720 12633920 12635480 13135936 13262579 13341185 13417466 13869592 13897312 14031568 14815246 14844856 15524288 15673957 15701290 16391336 16419920 17336990 17371640 17539460 18166720 18556070 19291024 19293406 19405360 20216768 20411677 20489170 21345896 22538087 22801298 22838240 24113780 25122064 25217440 25270960 26525158 26682370 26834932 27739184 27794624 28063136 29630492 29689712 31347914 31402580 32782672 32839840 33543665 34673980 34743280 35078920 37038115 37112140 38582048 38586812 38810720 40823354 40978340 42691792 45076174 45602596 45676480 48227560 48233515 50244128 50434880 50541920 53050316 53364740 53669864 55478368 56126272 56667383 57003245 59260984 59379424 62695828 62805160 65565344 65679680 66312895 67087330 69347960 69486560 70157840 73796063 74076230 74224280 77164096 77173624 77621440 78369785 81483853 81646708 81956680 85383584 87213529 90152348 91205192 96299099 96455120 96467030 100488256 101083840 102058385 106100632 106729480 107339728 110956736 112690435 113334766 114006490 118521968 118758848 125391656 125407139 125610320 131130688 132625790 134174660 138695920 138973120 140315680 147592126 148152460 148448560 154347248 156739570 162967706 163293416 163913360 170767168 172413527 174427058 180304696 182410384 192598198 192910240 192934060 204116770 212201264 213458960 214679456 225380870 226669532 228012980 237043936 250783312 250814278 251220640 265251580 268349320 277391840 280631360 283336915 295184252 296304920 296897120 308694496 313479140 325935412 326586832 327826720 344827054 348158281 348854116 360609392 364820768 368980315 385196396 385820480 385868120 407419265 408233540 424402528 426917920 429358912 436067645 450761740 453339064 456025960 474087872 478658533 481495495 501566624 501628556 502441280 530503160 536698640 554783680 566673830 590368504 592609840 593794240 617388992 623341213 626958280 627035695 651870824 653173664 655653440 689654108 696316562 697708232 721218784 729641536 736675979 737960630 770392792 771736240 814838530 816467080 848805056 853835840 862067635 872135290 901523480 906678128 912051920 957317066 959348819 962990990 1003133248 1003257112 1059290089 1061006320 1073397280 1133347660 1180737008 1185219680 1246682426 1253916560 1254071390 1303741648 1306347328 1379308216 1392633124 1395416464 1442437568 1473351958 1475921260 1540785584 1543472480 1629677060 1632934160 1724135270 1740791405 1744270580 1803046960 1813356256 1824103840 1914634132 1918697638 1925981980 2006514224 2118580178 2122012640 2146794560 2266695320 2361474016 2370439360 2393292665 2493364852 2507833120 2508142780 2607483296 2663367001 2758616432 2785266248 2790832928 2946703916 2951842520 3081571168 3086944960 3116706065 3259354120 3265868320 3448270540 3481582810 3488541160 3606093920 3626712512 3648207680 3683379895 3829268264 3829741091 3837395276 3851963960 4013028448 4237160356 4244025280 4526057653 4533390640 4722948032 4786585330 4796744095 4986729704 5015666240 5016285560 5214966592 5265243863 5296450445 5326734002 5517232864 5570532496 5581665856 5893407832 5903685040 6163142336 6222560929 6233412130 6518708240 6531736640 6896541080 6963165620 6977082320 7212187840 7366759790 7658536528 7659482182 7674790552 7703927920 8026056896 8103435769 8474320712 9052115306 9066781280 9573170660 9593488190 9973459408 10032571120 10530487726 10592900890 10653468004 11034465728 11141064992 11786815664 11807370080 12445121858 12466824260 13037416480 13316835005 13793082160 13926331240 13954164640 14733519580 15317073056 15318964364 15349581104 15407855840 16206871538 16948641424 18104230612 18133562560 19146341320 19148705455 19186976380 19946918816 20065142240 21060975452 21185801780 21306936008 22282129984 22496951051 22630288265 23573631328 23614740160 24890243716 24933648520 26074832960 26326219315 26633670010 27586164320 27852662480 27908329280 29297037011 29467039160 30634146112 30637928728 30699162208 30815711680 31112804645 32413743076 33897282848 34623771013 36208461224 38292682640 38297410910 38373952760 39893837632 40130284480 40517178845 42121950904 42371603560 42613872016 44993902102 45260576530 47147262656 49780487432 49786634183 49867297040 52652438630 53267340020 55172328640 55705324960 58594074022 58934078320 61275857456 61398324416 62225609290 64827486152 67794565696 68448170219 69247542026 72416922448 76585365280 76594821820 76747905520 81034357690 84243901808 84743207120 85227744032 89987804204 90521153060 99560974864 99573268366 99734594080 105304877260 106534680040 111410649920 112484755255 117188148044 117868156640 122551714912 124451218580 129654972304 136896340438 138495084052 144833844896 146485185055 153170730560 153189643640 153495811040 162068715380 168487803616 169486414240 170455488064 173118855065 179975608408 181042306120 199121949728 199146536732 199469188160 210609754520 213069360080 224969510510 234376296088 235736313280 245103429824 247466461561 248902437160 248933170915 259309944608 273792680876 276990168104 289667689792 292460363663 292970370110 306379287280 306991622080 324137430760 336975607232 338972828480 342240851095 346237710130 359951216816 362084612240 380861481143 398243899456 398293073464 421219509040 426138720160 449939021020 468752592176 494932923122 497804874320 497866341830 518619889216 547585361752 553980336208 584920727326 585940740220 612758574560 648274861520 684481702190 692475420260 719902433632 724169224480 761722962286 796586146928 842439018080 852277440320 899878042040 937505184352 989865846244 995609748640 995732683660 1057356699397 1095170723504 1107960672416 1169841454652 1171881480440 1225517149120 1237332307805 1296549723040 1368963404380 1384950840520 1439804867264 1448338448960 1462301818315 1523445924572 1593172293856 1684878036160 1799756084080 1875010368704 1904307405715 1979731692488 1991219497280 1991465367320 2114713398794 2190341447008 2215921344832 2339682909304 2343762960880 2474664615610 2593099446080 2737926808760 2769901681040 2924603636630 3046891849144 3186344587712 3217064000293 3599512168160 3808614811430 3959463384976 3982930734640 4229426797588 4380682894016 4679365818608 4687525921760 4949329231220 5286783496985 5475853617520 5539803362080 5849207273260 6093783698288 6434128000586 7199024336320 7617229622860 7918926769952 7965861469280 8458853595176 9358731637216 9375051843520 9898658462440 10573566993970 10951707235040 11079606724160 11630923693367 11698414546520 12187567396576 12868256001172 13745637092161 15234459245720 15837853539904 15931722938560 16085320001465 16917707190352 18717463274432 19797316924880 21147133987940 21903414470080 23261847386734 23396829093040 24375134793152 25736512002344 27491274184322 30468918491440 32170640002930 33835414380704 39594633849760 42294267975880 46523694773468 46793658186080 51473024004688 54982548368644 58154618466835 60937836982880 64341280005860 67670828761408 68728185460805 79189267699520 84588535951760 93047389546936 93587316372160 102946048009376 109965096737288 116309236933670 121875673965760 128682560011720 137456370921610 151202008013771 169177071903520 186094779093872 205892096018752 219930193474576 232618473867340 257365120023440 274912741843220 302404016027542 338354143807040 372189558187744 439860386949152 465236947734680 514730240046880 549825483686440 604808032055084 744379116375488 756010040068855 879720773898304 930473895469360 1029460480093760 1099650967372880 1209616064110168 1512020080137710 1860947790938720 2199301934745760 2419232128220336 3024040160275420 3721895581877440 4398603869491520 4838464256440672 6048080320550840 9676928512881344 12096160641101680 24192321282203360 48384642564406720
- Sum of all divisors σ(n): 138694713918741792
- Sum of proper divisors (its aliquot sum) s(n): 90310071354335072
- 48384642564406720 is an abundant number, because the sum of its proper divisors (90310071354335072) is greater than itself. Its abundance is 41925428789928352
Bases of 48384642564406720
- Binary: 101010111110010110010011011110001010001010111101110000002
- Hexadecimal: 0xABE59378A2BDC0
- Base-36: D8EX9XSEAPS
Squares and roots of 48384642564406720
- 48384642564406720 squared (483846425644067202) is 2341073636085398497743425581158400
- 48384642564406720 cubed (483846425644067203) is 113272011098947979962086860602285363118506344448000
-
The
square root of 48384642564406720 is 219965093.9681264973 -
The
cube root of 48384642564406720 is 364392.2897164763
Scales and comparisons
How big is 48384642564406720?- 48,384,642,564,406,720 seconds is equal to 1,538,481,970 years, 1 week, 1 day, 58 minutes, 40 seconds.
-
To count from 1 to 48,384,642,564,406,720 would take you about four billion, six hundred fifteen million, four hundred forty-five thousand, nine hundred ten 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 48384642564406720 cubic inches would be around 30366 feet tall.
Recreational maths with 48384642564406720
- 48384642564406720 backwards is 02760446524648384
- The number of decimal digits it has is: 17
- The sum of 48384642564406720's digits is 73
- More coming soon!
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The information we have on file for 48384642564406720 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 48384642564406720, math, Factors of 48384642564406720, curriculum, school, college, exams, university, Prime factorization of 48384642564406720, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, three hundred eighty-four trillion, six hundred forty-two billion, five hundred sixty-four million, four hundred six thousand, seven hundred twenty.