48385213932960
48,385,213,932,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48385213932960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
48385213932960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48385213932960:
25 × 35 × 5 × 17 × 113 × 127 × 5101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 113 × 127 × 5101)See below for interesting mathematical facts about the number 48385213932960 from the Numbermatics database.
Names of 48385213932960
- Cardinal: 48385213932960 can be written as Forty-eight trillion, three hundred eighty-five billion, two hundred thirteen million, nine hundred thirty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.838521393296 × 1013
Factors of 48385213932960
Divisors of 48385213932960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 81 85 90 96 102 108 113 120 127 135 136 144 153 160 162 170 180 204 216 226 240 243 254 255 270 272 288 306 324 339 340 360 381 405 408 432 452 459 480 486 508 510 540 544 565 612 635 648 678 680 720 762 765 810 816 864 904 918 972 1016 1017 1020 1080 1130 1143 1215 1224 1270 1296 1356 1360 1377 1440 1524 1530 1620 1632 1695 1808 1836 1905 1921 1944 2032 2034 2040 2159 2160 2260 2286 2295 2430 2448 2540 2592 2712 2720 2754 3048 3051 3060 3240 3390 3429 3616 3672 3810 3842 3888 4064 4068 4080 4131 4318 4320 4520 4572 4590 4860 4896 5080 5085 5101 5424 5508 5715 5763 6096 6102 6120 6477 6480 6780 6858 6885 7344 7620 7684 7776 8136 8160 8262 8636 9040 9144 9153 9180 9605 9720 10160 10170 10202 10287 10795 10848 11016 11430 11526 12192 12204 12240 12954 12960 13560 13716 13770 14351 14688 15240 15255 15303 15368 16272 16524 17145 17272 17289 18080 18288 18306 18360 19210 19431 19440 20320 20340 20404 20574 20655 21590 22032 22860 23052 24408 24480 25505 25908 27120 27432 27459 27540 28702 28815 30480 30510 30606 30736 30861 32385 32544 33048 34290 34544 34578 36576 36612 36720 38420 38862 38880 40680 40808 41148 41310 43053 43180 44064 45720 45765 45909 46104 48816 51010 51435 51816 51867 54240 54864 54918 55080 57404 57630 58293 60960 61020 61212 61472 61722 64770 66096 68580 69088 69156 71755 73224 73440 76515 76840 77724 81360 81616 82296 82620 86106 86360 86445 86717 91440 91530 91818 92208 97155 97632 102020 102870 103632 103734 109728 109836 110160 114808 115260 116586 122040 122424 123444 129159 129540 132192 137160 137295 137727 138312 143510 146448 153030 153680 154305 155448 155601 162720 163232 164592 165240 172212 172720 172890 173434 174879 182880 183060 183636 184416 194310 204040 205740 207264 207468 215265 219672 220320 229545 229616 230520 233172 243967 244080 244848 246888 258318 259080 259335 260151 274320 274590 275454 276624 287020 291465 292896 306060 307360 308610 310896 311202 329184 330480 344424 345440 345780 346868 349758 366120 367272 387477 388620 408080 411480 413181 414936 430530 433585 439344 459090 459232 461040 466344 466803 487934 488160 489696 493776 516636 518160 518670 520302 524637 548640 549180 550908 553248 574040 576413 582930 612120 617220 621792 622404 645795 647827 660960 688635 688848 691560 693736 699516 731901 732240 734544 774954 777240 778005 780453 816160 822960 826362 829872 861060 867170 874395 878688 918180 922080 932688 933606 975868 987552 1033272 1036320 1037340 1040604 1049274 1098360 1101816 1148080 1152826 1162431 1165860 1219835 1224240 1234440 1239543 1244808 1291590 1295654 1300755 1377270 1377696 1383120 1387472 1399032 1463802 1464480 1469088 1549908 1554480 1556010 1560906 1645920 1652724 1659744 1722120 1729239 1734340 1748790 1836360 1865376 1867212 1937385 1943481 1951736 2065905 2066544 2074680 2081208 2098548 2195703 2196720 2203632 2296160 2305652 2324862 2331720 2334015 2341359 2439670 2448480 2468880 2479086 2489616 2583180 2591308 2601510 2623185 2754540 2766240 2774944 2798064 2882065 2927604 3099816 3108960 3112020 3121812 3239135 3305448 3444240 3458478 3468680 3487293 3497580 3659505 3672720 3734424 3874770 3886962 3902265 3903472 4131810 4133088 4149360 4162416 4197096 4391406 4393440 4407264 4611304 4649724 4663440 4668030 4682718 4879340 4937760 4958172 4979232 5166360 5182616 5187717 5203020 5246370 5509080 5596128 5764130 5812155 5830443 5855208 6197715 6199632 6224040 6243624 6478270 6587109 6610896 6888480 6916956 6937360 6974586 6995160 7024077 7319010 7345440 7468848 7749540 7773924 7804530 7806944 8263620 8298720 8324832 8394192 8646195 8782812 9222608 9299448 9326880 9336060 9365436 9717405 9758680 9799021 9916344 10332720 10365232 10375434 10406040 10492740 10978515 11013059 11018160 11528260 11624310 11660886 11706795 11710416 12395430 12399264 12448080 12487248 12956540 13174218 13221792 13833912 13874720 13949172 13990320 14048154 14638020 14937696 15499080 15547848 15563151 15609060 16527240 16788384 17292390 17436465 17491329 17565624 18445216 18598896 18672120 18730872 19434810 19517360 19598042 19761327 19832688 20665440 20730464 20750868 20812080 20985480 21072231 21957030 22026118 22036320 23056520 23248620 23321772 23413590 23420832 24790860 24896160 24974496 25913080 25938585 26348436 27667824 27898344 27980640 28096308 29152215 29276040 29397063 30998160 31095696 31126302 31218120 32935545 33039177 33054480 34584780 34872930 34982658 35120385 35131248 37197792 37344240 37461744 38869620 39034720 39196084 39522654 39665376 41501736 41624160 41970960 42144462 43914060 44052236 46113040 46497240 46643544 46689453 46827180 48995105 49581720 51826160 51877170 52473987 52696872 55065295 55335648 55796688 56192616 58304430 58552080 58794126 59283981 61996320 62191392 62252604 62436240 65871090 66078354 66108960 69169560 69745860 69965316 70240770 70262496 73204451 74688480 74923488 77739240 77815755 78392168 79045308 83003472 83941920 84288924 87456645 87828120 88104472 88191189 92226080 92994480 93287088 93378906 93654360 97990210 98806635 99117531 99163440 103652320 103754340 104947974 105361155 105393744 110130590 111593376 112385232 116608860 117104160 117588252 118567962 124505208 124872480 131742180 132156708 138339120 139491720 139930632 140068359 140481540 146408902 146985315 155478480 155631510 156784336 157421961 158090616 165195885 166006944 168577848 174913290 175656240 176208944 176382378 185988960 186574176 186757812 187308720 195980420 197613270 198235062 198326880 207508680 209895948 210722310 210787488 219613353 220261180 224770464 233217720 233447265 235176504 237135924 249010416 262369935 263484360 264313416 264573567 276678240 278983440 279861264 280136718 280963080 292817804 293970630 296419905 297352593 310956960 311263020 313568672 314843922 316181232 330391770 337155696 349826580 351312480 352417888 352764756 366022255 373515624 374617440 391960840 395226540 396470124 415017360 419791896 421444620 439226706 440522360 440955945 466435440 466894530 470353008 474271848 495587655 498020832 524739870 526968720 528626832 529147134 557966880 559722528 560273436 561926160 585635608 587941260 592839810 594705186 622526040 629687844 632362464 658840059 660783540 674311392 699653160 700341795 705529512 732044510 747031248 783921680 787109805 790453080 792940248 793720701 830034720 839583792 842889240 878453412 881044720 881911890 892057779 932870880 933789060 940706016 948543696 991175310 1049479740 1053937440 1057253664 1058294268 1098066765 1120546872 1123852320 1171271216 1175882520 1185679620 1189410372 1244475667 1245052080 1259375688 1317680118 1321567080 1322867835 1399306320 1400683590 1411059024 1464089020 1486762965 1494062496 1567843360 1574219610 1580906160 1585880496 1587441402 1679167584 1685778480 1756906824 1762089440 1763823780 1784115558 1867578120 1897087392 1976520177 1982350620 2098959480 2116588536 2196133530 2241093744 2342542432 2351765040 2371359240 2378820744 2381162103 2488951334 2490104160 2518751376 2635360236 2643134160 2645735670 2676173337 2798612640 2801367180 2822118048 2928178040 2973525930 3148439220 3161812320 3171760992 3174882804 3294200295 3371556960 3513813648 3527647560 3568231116 3733427001 3735156240 3953040354 3964701240 3968603505 4197918960 4233177072 4392267060 4460288895 4482187488 4703530080 4742718480 4757641488 4762324206 4977902668 5037502752 5270720472 5286268320 5291471340 5352346674 5602734360 5856356080 5929560531 5947051860 6222378335 6296878440 6349765608 6588400590 7027627296 7055295120 7136462232 7466854002 7470312480 7906080708 7929402480 7937207010 8395837920 8466354144 8784534120 8920577790 9485436960 9515282976 9524648412 9882600885 9955805336 10541440944 10582942680 10704693348 11200281003 11205468720 11712712160 11859121062 11894103720 11905810515 12444756670 12593756880 12699531216 13176801180 13380866685 14110590240 14272924464 14933708004 15812161416 15858804960 15874414020 17569068240 17788681593 17841155580 18667135005 19049296824 19765201770 19911610672 21082881888 21165885360 21409386696 22400562006 22410937440 23718242124 23788207440 23811621030 24889513340 25187513760 25399062432 26353602360 26761733370 28545848928 29647802655 29867416008 31624322832 31748828040 33600843009 35138136480 35577363186 35682311160 37334270010 38098593648 39530403540 39823221344 42331770720 42818773392 44801124012 47436484248 47576414880 47623242060 49779026680 52707204720 53523466740 56001405015 59295605310 59734832016 63248645664 63497656080 67201686018 71154726372 71364622320 74668540020 76197187296 79060807080 85637546784 88943407965 89602248024 94872968496 95246484120 99558053360 100802529027 105414409440 107046933480 112002810030 118591210620 119469664032 126995312160 134403372036 142309452744 142729244640 149337080040 158121614160 168004215045 177886815930 179204496048 189745936992 190492968240 199116106720 201605058054 214093866960 224005620060 237182421240 268806744072 284618905488 298674160080 302407587081 316243228320 336008430090 355773631860 358408992096 380985936480 403210116108 428187733920 448011240120 474364842480 504012645135 537613488144 569237810976 597348320160 604815174162 672016860180 711547263720 806420232216 896022480240 948729684960 1008025290270 1075226976288 1209630348324 1344033720360 1423094527440 1512037935405 1612840464432 1792044960480 2016050580540 2419260696648 2688067440720 2846189054880 3024075870810 3225680928864 4032101161080 4838521393296 5376134881440 6048151741620 8064202322160 9677042786592 12096303483240 16128404644320 24192606966480 48385213932960
- Sum of all divisors σ(n): 184383036923904
- Sum of proper divisors (its aliquot sum) s(n): 135997822990944
- 48385213932960 is an abundant number, because the sum of its proper divisors (135997822990944) is greater than itself. Its abundance is 87612609057984
Bases of 48385213932960
- Binary: 10110000000001100011110111110100100101101000002
- Hexadecimal: 0x2C018F7D25A0
- Base-36: H5FUZ3U00
Squares and roots of 48385213932960
- 48385213932960 squared (483852139329602) is 2341128927338306511374361600
- 48385213932960 cubed (483852139329603) is 113276023993905127661681851606845198336000
-
The
square root of 48385213932960 is 6955948.0973451779 -
The
cube root of 48385213932960 is 36439.3724066061
Scales and comparisons
How big is 48385213932960?- 48,385,213,932,960 seconds is equal to 1,538,500 years, 7 weeks, 1 day, 3 hours, 36 minutes.
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To count from 1 to 48,385,213,932,960 would take you about three million, eight hundred forty-six thousand, two hundred fifty 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 48385213932960 cubic inches would be around 3036.6 feet tall.
Recreational maths with 48385213932960
- 48385213932960 backwards is 06923931258384
- The number of decimal digits it has is: 14
- The sum of 48385213932960's digits is 63
- More coming soon!
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The information we have on file for 48385213932960 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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