13328284735377920
13,328,284,735,377,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 13328284735377920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13328284735377920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13328284735377920:
29 × 5 × 73 × 115 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 307 × 307)See below for interesting mathematical facts about the number 13328284735377920 from the Numbermatics database.
Names of 13328284735377920
- Cardinal: 13328284735377920 can be written as Thirteen quadrillion, three hundred twenty-eight trillion, two hundred eighty-four billion, seven hundred thirty-five million, three hundred seventy-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.332828473537792 × 1016
Factors of 13328284735377920
Divisors of 13328284735377920
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 77 80 88 98 110 112 121 128 140 154 160 176 196 220 224 242 245 256 280 307 308 320 343 352 385 392 440 448 484 490 512 539 560 605 614 616 640 686 704 770 784 847 880 896 968 980 1078 1120 1210 1228 1232 1280 1331 1372 1408 1535 1540 1568 1694 1715 1760 1792 1936 1960 2149 2156 2240 2420 2456 2464 2560 2662 2695 2744 2816 3070 3080 3136 3377 3388 3430 3520 3584 3773 3872 3920 4235 4298 4312 4480 4840 4912 4928 5324 5390 5488 5632 5929 6140 6160 6272 6655 6754 6776 6860 7040 7546 7744 7840 8470 8596 8624 8960 9317 9680 9824 9856 10648 10745 10780 10976 11858 12280 12320 12544 13310 13508 13552 13720 14080 14641 15043 15092 15488 15680 16885 16940 17192 17248 17920 18634 18865 19360 19648 19712 21296 21490 21560 21952 23639 23716 24560 24640 25088 26620 27016 27104 27440 28160 29282 29645 30086 30184 30976 31360 33770 33880 34384 34496 37147 37268 37730 38720 39296 39424 41503 42592 42980 43120 43904 46585 47278 47432 49120 49280 53240 54032 54208 54880 58564 59290 60172 60368 61952 62720 65219 67540 67760 68768 68992 73205 74294 74536 75215 75460 77440 78592 83006 85184 85960 86240 87808 93170 94249 94556 94864 98240 98560 102487 105301 106480 108064 108416 109760 117128 118195 118580 120344 120736 125440 130438 135080 135520 137536 137984 146410 148588 149072 150430 150920 154880 157184 161051 165473 166012 170368 171920 172480 175616 185735 186340 188498 189112 189728 196480 197120 204974 207515 210602 212960 216128 216832 219520 234256 236390 237160 240688 241472 260029 260876 270160 271040 275072 275968 292820 297176 298144 300860 301840 309760 322102 326095 330946 332024 340736 343840 344960 371470 372680 376996 378224 379456 392960 408617 409948 415030 421204 425920 432256 433664 439040 456533 468512 471245 472780 474320 481376 482944 512435 520058 521752 526505 540320 542080 550144 585640 594352 596288 601720 603680 644204 652190 659743 661892 664048 681472 687680 689920 717409 742940 745360 753992 756448 758912 785920 805255 817234 819896 827365 830060 842408 851840 864512 878080 913066 937024 942490 945560 948640 962752 965888 1024870 1036739 1040116 1043504 1053010 1080640 1084160 1100288 1127357 1158311 1171280 1188704 1192576 1203440 1207360 1288408 1300145 1304380 1319486 1323784 1328096 1375360 1379840 1434818 1485880 1490720 1507984 1512896 1517824 1610510 1634468 1639792 1654730 1660120 1684816 1703680 1729024 1820203 1826132 1874048 1884980 1891120 1897280 1925504 1931776 2043085 2049740 2073478 2080232 2087008 2106020 2161280 2168320 2254714 2282665 2316622 2342560 2377408 2385152 2406880 2414720 2576816 2600290 2608760 2638972 2647568 2656192 2750720 2860319 2869636 2971760 2981440 3015968 3025792 3035648 3221020 3268936 3279584 3298715 3309460 3320240 3369632 3407360 3587045 3640406 3652264 3748096 3769960 3782240 3794560 3851008 4086170 4099480 4146956 4160464 4174016 4212040 4322560 4494787 4509428 4565330 4618201 4633244 4685120 4754816 4770304 4813760 4829440 5021863 5153632 5183695 5200580 5217520 5277944 5295136 5312384 5501440 5636785 5720638 5739272 5791555 5943520 5962880 6031936 6051584 6442040 6537872 6559168 6597430 6618920 6640480 6739264 7174090 7257173 7280812 7304528 7496192 7539920 7564480 7589120 7702016 7891499 8172340 8198960 8293912 8320928 8348032 8424080 8645120 8989574 9018856 9101015 9130660 9236402 9266488 9370240 9509632 9627520 9658880 10043726 10307264 10367390 10401160 10435040 10555888 10590272 10624768 11273570 11404129 11441276 11478544 11583110 11887040 11925760 12063872 12103168 12741421 12884080 13075744 13118336 13194860 13237840 13280960 13478528 14301595 14348180 14514346 14561624 14609056 15079840 15128960 15178240 15782998 16344680 16397920 16587824 16641856 16696064 16848160 17979148 18037712 18202030 18261320 18472804 18532976 18740480 19019264 19255040 20022233 20087452 20614528 20734780 20802320 20870080 21111776 21180544 21249536 22473935 22547140 22808258 22882552 22957088 23091005 23166220 23774080 23851520 24127744 25109315 25482842 25768160 26151488 26236672 26389720 26475680 26561920 26957056 28603190 28696360 29028692 29123248 29218112 30159680 30257920 31463509 31565996 32327407 32689360 32795840 33175648 33283712 33392128 33696320 35958296 36075424 36285865 36404060 36522640 36945608 37065952 37480960 38510080 39457495 40044466 40174904 41229056 41469560 41604640 41740160 42223552 42361088 44947870 45094280 45616516 45765104 45914176 46182010 46332440 47548160 48255488 49442657 50218630 50800211 50965684 51536320 52302976 52473344 52779440 52951360 53123840 53914112 55240493 57020645 57206380 57392720 58057384 58246496 58436224 60319360 60515840 62927018 63131992 63707105 64654814 65378720 65591680 66351296 66567424 67392640 71916592 72150848 72571730 72808120 73045280 73891216 74131904 78914990 79828903 80088932 80349808 82458112 82939120 83209280 83480320 84447104 84722176 89895740 90188560 91233032 91530208 91828352 92364020 92664880 95096320 98885314 100111165 100437260 101600422 101931368 103072640 104605952 105558880 105902720 106247680 110480986 114041290 114412760 114785440 116114768 116492992 116872448 120638720 125445419 125854036 126263984 127414210 129309628 130757440 131183360 132702592 133134848 134785280 140155631 143833184 144301696 145143460 145616240 146090560 147782432 148263808 157317545 157829980 159657806 160177864 160699616 161637035 165878240 166418560 166960640 168894208 179791480 180377120 182466064 183060416 183656704 184728040 185329760 197770628 200222330 200874520 203200844 203862736 206145280 209211904 211117760 211805440 220244563 220961972 228082580 228825520 229570880 232229536 232985984 233744896 241277440 247213285 250890838 251708072 252527968 254001055 254828420 258619256 261514880 262366720 265405184 269570560 276202465 280311262 287666368 288603392 290286920 291232480 292181120 295564864 296527616 314635090 315659960 319315612 320355728 321399232 323274070 331756480 332837120 337788416 346098599 355601477 359582960 360754240 364932128 366120832 367313408 369456080 370659520 395541256 399144515 400444660 401749040 406401688 407725472 412290560 422235520 423610880 440489126 441923944 456165160 457651040 459141760 464459072 465971968 494426570 501781676 503416144 505055936 508002110 509656840 517238512 523029760 530810368 552404930 558802321 560622524 575332736 577206784 580573840 582464960 584362240 591129728 593055232 627227095 629270180 631319920 638631224 640711456 642798464 646548140 663512960 665674240 692197198 700778155 711202954 719165920 721508480 729864256 732241664 738912160 741319040 791082512 798289030 800889320 803498080 812803376 815450944 844471040 878117933 880978252 883847888 912330320 915302080 918283520 928918144 931943936 988853140 1003563352 1006832288 1010111872 1016004220 1019313680 1034477024 1046059520 1101222815 1104809860 1117604642 1121245048 1150665472 1161147680 1164929920 1168724480 1182259456 1254454190 1258540360 1262639840 1277262448 1281422912 1285596928 1293096280 1327025920 1379899609 1384394396 1401556310 1422405908 1438331840 1443016960 1459728512 1464483328 1477824320 1482638080 1541711941 1582165024 1596578060 1601778640 1606996160 1625606752 1630901888 1688942080 1730492995 1756235866 1761956504 1767695776 1778007385 1824660640 1830604160 1836567040 1857836288 1977706280 2007126704 2013664576 2020223744 2032008440 2038627360 2068954048 2202445630 2209619720 2235209284 2242490096 2301330944 2322295360 2329859840 2364518912 2422690193 2508908380 2517080720 2525279680 2554524896 2562845824 2571193856 2586192560 2654051840 2759799218 2768788792 2794011605 2803112620 2844811816 2876663680 2886033920 2919457024 2955648640 2965276160 3083423882 3164330048 3193156120 3203557280 3213992320 3251213504 3261803776 3460985990 3512471732 3523913008 3535391552 3556014770 3649321280 3661208320 3715672576 3911616247 3955412560 4014253408 4027329152 4040447488 4064016880 4077254720 4137908096 4390589665 4404891260 4419239440 4470418568 4484980192 4644590720 4659719680 4845380386 5017816760 5034161440 5050559360 5109049792 5125691648 5172385120 5519598436 5537577584 5588023210 5606225240 5689623632 5753327360 5838914048 5911297280 6146825531 6166847764 6328660096 6386312240 6407114560 6427984640 6502427008 6523607552 6899498045 6921971980 7024943464 7047826016 7070783104 7112029540 7298642560 7322416640 7708559705 7823232494 7910825120 8028506816 8054658304 8128033760 8154509440 8275816192 8781179330 8809782520 8838478880 8940837136 8969960384 9289181440 9659297263 9690760772 10035633520 10068322880 10101118720 10218099584 10251383296 10344770240 11039196872 11075155168 11176046420 11212450480 11379247264 11506654720 11822594560 12113450965 12293651062 12333695528 12657320192 12772624480 12814229120 12855969280 13004854016 13798996090 13843943960 14049886928 14095652032 14141566208 14224059080 14597285120 15178895699 15417119410 15646464988 15821650240 16057013632 16109316608 16256067520 16309018880 16551632384 16958831351 17562358660 17619565040 17676957760 17881674272 17939920768 18578362880 19318594526 19381521544 19558081235 20071267040 20136645760 20202237440 20436199168 20689540480 22078393744 22150310336 22352092840 22424900960 22758494528 24226901930 24587302124 24667391056 25314640384 25545248960 25628458240 26009708032 27597992180 27687887920 28099773856 28191304064 28283132416 28448118160 29194570240 30357791398 30734127655 30834238820 31292929976 31643300480 32114027264 32512135040 32618037760 33917662702 35124717320 35239130080 35353915520 35763348544 35879841536 38637189052 38763043088 39116162470 40142534080 40273291520 40872398336 41379080960 43027778717 44156787488 44300620672 44704185680 44849801920 45516989056 48296486315 48453803860 49174604248 49334782112 51090497920 51256916480 55195984360 55375775840 56199547712 56382608128 56896236320 60715582796 61468255310 61668477640 62585859952 63286600960 64228054528 65024270080 67615080841 67835325404 70249434640 70478260160 70707831040 71526697088 71759683072 75894478495 77274378104 77526086176 78232324940 80285068160 80546583040 82758161920 84794156755 86055557434 88313574976 88601241344 89408371360 89699603840 91033978112 96592972630 96907607720 98349208496 98669564224 102180995840 106252269893 110391968720 110751551680 112399095424 112765216256 113792472640 121431165592 122936510620 123336955280 125171719904 126573201920 130048540160 135230161682 135670650808 140498869280 140956520320 141415662080 143053394176 151788956990 154548756208 155052172352 156464649880 160570136320 169588313510 172111114868 176627149952 177202482688 178816742720 179399207680 182067956224 193185945260 193815215440 196698416992 197339128448 204361991680 212504539786 215138893585 220783937440 221503103360 224798190848 227584945280 242862331184 245873021240 246673910560 250343439808 270460323364 271341301616 280997738560 281913040640 286106788352 303577913980 309097512416 310104344704 312929299760 321140272640 338075404205 339176627020 344222229736 353254299904 357633485440 358798415360 386371890520 387630430880 393396833984 394678256896 425009079572 430277787170 441567874880 443006206720 449596381696 455169890560 473305565887 485724662368 491746042480 493347821120 500686879616 531261349465 540920646728 542682603232 561995477120 563826081280 607155827960 618195024832 620208689408 625858599520 676150808410 678353254040 688444459472 706508599808 715266970880 743765889251 772743781040 775260861760 786793667968 789356513792 850018159144 860555574340 883135749760 886012413440 910339781120 946611131774 971449324736 983492084960 986695642240 1001373759232 1062522698930 1081841293456 1085365206464 1123990954240 1214311655920 1236390049664 1240417378816 1251717199040 1352301616820 1356706508080 1376888918944 1430533941760 1487531778502 1545487562080 1550521723520 1573587335936 1700036318288 1721111148680 1766271499520 1893222263548 1942898649472 1966984169920 1973391284480 2002747518464 2125045397860 2163682586912 2170730412928 2247981908480 2366527829435 2428623311840 2472780099328 2503434398080 2704603233640 2713413016160 2753777837888 2975063557004 3090975124160 3101043447040 3147174671872 3400072636576 3442222297360 3532542999040 3718829446255 3786444527096 3885797298944 3933968339840 3946782568960 4250090795720 4327365173824 4341460825856 4733055658870 4857246623680 4945560198656 5006868796160 5206361224757 5409206467280 5426826032320 5507555675776 5950127114008 6181950248320 6202086894080 6800145273152 6884444594720 7437658892510 7572889054192 7771594597888 7867936679680 8500181591440 8654730347648 8682921651712 9466111317740 9714493247360 10013737592320 10412722449514 10818412934560 10853652064640 11015111351552 11900254228016 12363900496640 13600290546304 13768889189440 14875317785020 15145778108384 15735873359360 17000363182880 17309460695296 18932222635480 19428986494720 20825444899028 21636825869120 21707304129280 22030222703104 23800508456032 24727800993280 26031806123785 27200581092608 27537778378880 29750635570040 30291556216768 34000726365760 34618921390592 37864445270960 38857972989440 41650889798056 43273651738240 43414608258560 47601016912064 52063612247570 54401162185216 55075556757760 59501271140080 60583112433536 68001452731520 75728890541920 83301779596112 86547303476480 95202033824128 104127224495140 110151113515520 119002542280160 121166224867072 136002905463040 151457781083840 166603559192224 173094606952960 190404067648256 208254448990280 238005084560320 242332449734144 272005810926080 302915562167680 333207118384448 380808135296512 416508897980560 476010169120640 605831124335360 666414236768896 833017795961120 952020338241280 1211662248670720 1332828473537792 1666035591922240 1904040676482560 2665656947075584 3332071183844480 6664142367688960 13328284735377920
- Sum of all divisors σ(n): 41127889702838400
- Sum of proper divisors (its aliquot sum) s(n): 27799604967460480
- 13328284735377920 is an abundant number, because the sum of its proper divisors (27799604967460480) is greater than itself. Its abundance is 14471320232082560
Bases of 13328284735377920
- Binary: 1011110101101000000001000111010001111000010010000000002
- Hexadecimal: 0x2F5A011D1E1200
- Base-36: 3N8HDH9BVNK
Squares and roots of 13328284735377920
- 13328284735377920 squared (133282847353779202) is 177643173987308070959245223526400
- 13328284735377920 cubed (133282847353779203) is 2367678804199122154221688386025497944379097088000
-
The
square root of 13328284735377920 is 115448190.6977234529 -
The
cube root of 13328284735377920 is 237096.2876472969
Scales and comparisons
How big is 13328284735377920?- 13,328,284,735,377,920 seconds is equal to 423,798,227 years, 25 weeks, 4 days, 14 hours, 45 minutes, 20 seconds.
-
To count from 1 to 13,328,284,735,377,920 would take you about one billion, two hundred seventy-one million, three hundred ninety-four thousand, six hundred eighty-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 13328284735377920 cubic inches would be around 19758 feet tall.
Recreational maths with 13328284735377920
- 13328284735377920 backwards is 02977353748282331
- The number of decimal digits it has is: 17
- The sum of 13328284735377920's digits is 74
- 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 13328284735377920 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 13328284735377920 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13328284735377920/
Chicago style:
Numbermatics. 2024. "Number 13328284735377920 - Facts about the integer". https://numbermatics.com/n/13328284735377920/
The information we have on file for 13328284735377920 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 13328284735377920, math, Factors of 13328284735377920, curriculum, school, college, exams, university, Prime factorization of 13328284735377920, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred twenty-eight trillion, two hundred eighty-four billion, seven hundred thirty-five million, three hundred seventy-seven thousand, nine hundred twenty.