13228257674028800
13,228,257,674,028,800 is an even composite number composed of eight prime numbers multiplied together.
13228257674028800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13228257674028800:
28 × 52 × 13 × 31 × 61 × 373 × 431 × 523
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 31 × 61 × 373 × 431 × 523)See below for interesting mathematical facts about the number 13228257674028800 from the Numbermatics database.
Names of 13228257674028800
- Cardinal: 13228257674028800 can be written as Thirteen quadrillion, two hundred twenty-eight trillion, two hundred fifty-seven billion, six hundred seventy-four million, twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32282576740288 × 1016
Factors of 13228257674028800
Divisors of 13228257674028800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 61 62 64 65 80 100 104 122 124 128 130 155 160 200 208 244 248 256 260 305 310 320 325 373 400 403 416 431 488 496 520 523 610 620 640 650 746 775 793 800 806 832 862 976 992 1040 1046 1220 1240 1280 1300 1492 1525 1550 1586 1600 1612 1664 1724 1865 1891 1952 1984 2015 2080 2092 2155 2440 2480 2600 2615 2984 3050 3100 3172 3200 3224 3328 3448 3730 3782 3904 3965 3968 4030 4160 4184 4310 4849 4880 4960 5200 5230 5603 5968 6100 6200 6344 6400 6448 6799 6896 7460 7564 7808 7930 7936 8060 8320 8368 8620 9325 9455 9698 9760 9920 10075 10400 10460 10775 11206 11563 11936 12200 12400 12688 12896 13075 13361 13598 13792 14920 15128 15616 15860 16120 16213 16640 16736 17240 18650 18910 19396 19520 19825 19840 20150 20800 20920 21550 22412 22753 23126 23872 24245 24400 24583 24800 25376 25792 26150 26291 26722 27196 27584 28015 29840 30256 31720 31903 32240 32426 33472 33995 34480 37300 37820 38792 39040 39650 39680 40300 41600 41840 43100 44824 45506 46252 47275 47744 48490 48800 49166 49600 50752 51584 52300 52582 53444 54392 55168 56030 57815 59680 60512 63440 63806 64480 64852 66805 66944 67990 68960 74600 75640 77584 78080 79300 80600 81065 83200 83680 86200 89648 91012 92504 94550 95488 96980 97600 98332 99200 101504 103168 104600 105164 106888 108784 110336 112060 113765 115630 119360 121024 121225 122915 126880 127612 128960 129704 131455 133610 133888 135980 137920 140075 149200 150319 151280 155168 158600 159515 160763 161200 162130 167360 169975 172400 173693 179296 182024 185008 189100 193960 195079 195200 196664 198400 203008 209200 210328 210769 213776 217568 224120 225413 227530 231260 238720 242048 242450 245830 253760 255224 257920 259408 262910 267220 271960 275840 280150 289075 295789 298400 300638 302560 310336 317200 319030 321526 322400 324260 334025 334720 339950 341783 344800 347386 358592 364048 370016 378200 387920 390158 390400 393328 405325 414739 418400 420656 421538 427552 435136 448240 450826 455060 462520 477440 484096 484900 491660 507520 510448 515840 518816 525820 534440 543920 551680 560300 568825 578150 591578 596800 601276 605120 614575 620672 634400 638060 643052 644800 648520 657275 668050 669440 679900 683566 689600 694772 705343 717184 728096 740032 751595 756400 775840 780316 786656 797575 803815 810650 815021 829478 836800 841312 843076 855104 868465 870272 896480 901652 910120 925040 969800 975395 983320 988993 1015040 1020896 1037632 1051640 1053845 1068880 1087840 1120600 1127065 1137650 1156300 1183156 1193600 1202552 1210240 1229150 1241344 1268800 1276120 1286104 1289600 1297040 1314550 1336100 1359800 1367132 1379200 1389544 1410686 1434368 1456192 1478945 1480064 1503190 1512800 1551680 1560632 1573312 1595150 1607630 1621300 1630042 1658956 1673600 1682624 1686152 1708915 1710208 1736930 1740544 1792960 1803304 1820240 1850080 1939600 1950790 1966640 1977986 2041792 2073695 2075264 2089919 2103280 2107690 2137760 2175680 2241200 2254130 2275300 2312600 2366312 2387200 2405104 2420480 2458300 2536027 2537600 2552240 2572208 2579200 2594080 2629100 2672200 2719600 2734264 2758400 2779088 2821372 2912384 2930369 2957890 2960128 3006380 3025600 3103360 3121264 3146624 3190300 3215260 3242600 3260084 3317912 3347200 3365248 3372304 3417830 3420416 3473860 3526715 3585920 3606608 3640480 3700160 3757975 3879200 3901580 3933280 3955972 4019075 4075105 4083584 4147390 4150528 4179838 4206560 4215380 4275520 4342325 4351360 4482400 4508260 4550600 4625200 4732624 4810208 4876975 4916600 4944965 4983653 5072054 5075200 5104480 5144416 5188160 5258200 5269225 5344400 5439200 5468528 5558176 5635325 5642744 5824768 5860738 5915780 6012760 6047449 6051200 6206720 6242528 6293248 6380600 6430520 6485200 6520168 6635824 6730496 6744608 6835660 6947720 6987803 7053430 7171840 7213216 7280960 7394725 7400320 7515950 7758400 7803160 7866560 7911944 8038150 8150210 8167168 8294780 8359676 8413120 8430760 8544575 8551040 8684650 8702720 8964800 9016520 9101200 9169459 9250400 9465248 9620416 9753950 9806543 9833200 9889930 9967306 10144108 10208960 10288832 10368475 10376320 10449595 10516400 10538450 10595273 10688800 10878400 10937056 11116352 11270650 11285488 11721476 11831560 11899819 12025520 12094898 12102400 12485056 12680135 12761200 12856909 12861040 12970400 13040336 13271648 13489216 13671320 13750193 13895440 13975606 14106860 14426432 14561920 14651845 14789450 14800640 15031900 15516800 15606320 15733120 15823888 16076300 16300420 16589560 16719352 16826240 16861520 17089150 17102080 17369300 17633575 17929600 18033040 18202400 18338918 18500800 18930496 19240832 19507900 19613086 19666400 19779860 19934612 20288216 20375525 20417920 20577664 20736950 20752640 20899190 21032800 21076900 21190546 21377600 21756800 21874112 22232704 22541300 22570976 23442952 23663120 23799638 24051040 24189796 24724825 24918265 24970112 25360270 25522400 25713818 25722080 25940800 26080672 26543296 26978432 27342640 27500386 27790880 27951212 28213720 28852864 29123840 29303690 29578900 30063800 30237245 31033600 31212640 31466240 31647776 32152600 32600840 33179120 33438704 33652480 33723040 34178300 34738600 34939015 35267150 35859200 36066080 36404800 36677836 37001600 37860992 38481664 39015800 39226172 39332800 39559720 39869224 40576432 40751050 40835840 41155328 41473900 41798380 42065600 42153800 42381092 42755200 43513600 43748224 44465408 45082600 45141952 45847295 46885904 47326240 47599276 48102080 48379592 49032715 49449650 49836530 49940224 50720540 51044800 51427636 51444160 51881600 52161344 52247975 52976365 53086592 53956864 54685280 55000772 55581760 55902424 56427440 57705728 58607380 59157800 59499095 60127600 60474490 62425280 63295552 63400675 64284545 64305200 64787489 65201680 66358240 66877408 67446080 68356600 68750965 69477200 69878030 70534300 72132160 72809600 73259225 73355672 74003200 75721984 78031600 78452344 78616837 78665600 79119440 79738448 81152864 81502100 82947800 83596760 84079049 84131200 84307600 84762184 85510400 87496448 90165200 90283904 90841439 91694590 93771808 94652480 95198552 96204160 96759184 98065430 98899300 99673060 101441080 102089600 102855272 102888320 103763200 104322688 104495950 105952730 106173184 109370560 110001544 111163520 111804848 112854880 117214760 118315600 118998190 120255200 120948980 124591325 124850560 126591104 126801350 127485059 128569090 128610400 129574978 130403360 132716480 133754816 134892160 136713200 137501930 138954400 139756060 141068600 144264320 145619200 146518450 146711344 151186225 154697647 156063200 156904688 157233674 157331200 158238880 159476896 162305728 163004200 165895600 167193520 168158098 168262400 168615200 169524368 174695075 178752509 180330400 180567808 181682878 183389180 187543616 189304960 190397104 192408320 193518368 196130860 197798600 199346120 202882160 204179200 205710544 205776640 208645376 208991900 211905460 218741120 220003088 222327040 223609696 225709760 229236475 234429520 236631200 237996380 240510400 241897960 245163575 249182650 249701120 253182208 253602700 254970118 257138180 257220800 259149956 260806720 264881825 265432960 267509632 269784320 273426400 275003860 277908800 279512120 282137200 288528640 293036900 293422688 297495475 302372450 304002833 309395294 312126400 313809376 314467348 316477760 318953792 321422725 323937445 324611456 326008400 331791200 334387040 336316196 337230400 339048736 343754825 349390150 357505018 360660800 363365756 366778360 368894389 375087232 378609920 380794208 387036736 392261720 393084185 395597200 398692240 405764320 411421088 417983800 420395245 423810920 426255983 437482240 440006176 447219392 451419520 454207195 458472950 468859040 473262400 475992760 481020800 483795920 490327150 498365300 507205400 509940236 514276360 514441600 518299912 521613440 529763650 530865920 535019264 546852800 550007720 555817600 559024240 564274400 586073800 586845376 594990950 604744900 608005666 618790588 624252800 627618752 628934696 632955520 637425295 637907584 642845450 647874890 649222912 652016800 663582400 668774080 672632392 674460800 678097472 687509650 698780300 715010036 721321600 726731512 733556720 737788778 750174464 761588416 773488235 774073472 784523440 786168370 791194400 797384480 811528640 822842176 835967600 840790490 847621840 852511966 880012352 893762545 894438784 902839040 908414390 916945900 937718080 946524800 951985520 962041600 967591840 980654300 996730600 1014410800 1019880472 1028552720 1028883200 1036599824 1043226880 1059527300 1093027637 1093705600 1100015440 1111635200 1118048480 1128548800 1172147600 1173690752 1189981900 1209489800 1216011332 1237581176 1248505600 1255237504 1257869392 1265911040 1274850590 1275815168 1285690900 1295749780 1304033600 1327164800 1337548160 1345264784 1348921600 1356194944 1375019300 1397560600 1430020072 1442643200 1453463024 1467113440 1475577556 1520014165 1523176832 1546976470 1548146944 1569046880 1572336740 1582388800 1594768960 1619687225 1623057280 1645684352 1671935200 1681580980 1695243680 1705023932 1760024704 1787525090 1788877568 1816828780 1833891800 1844471945 1875436160 1893049600 1903971040 1935183680 1961308600 1965420925 1993461200 2028821600 2039760944 2057105440 2073199648 2101976225 2119054600 2131279915 2186055274 2187411200 2200030880 2236096960 2257097600 2271035975 2344295200 2347381504 2379963800 2418979600 2432022664 2475162352 2510475008 2515738784 2549701180 2571381800 2591499560 2606450519 2608067200 2654329600 2675096320 2690529568 2712389888 2750038600 2795121200 2860040144 2906926048 2934226880 2951155112 3040028330 3046353664 3093952940 3138093760 3144673480 3164777600 3187126475 3189537920 3239374450 3246114560 3291368704 3343870400 3363161960 3390487360 3410047864 3520049408 3575050180 3633657560 3667783600 3688943890 3750872320 3807942080 3867441175 3870367360 3922617200 3930841850 3952036829 3986922400 4057643200 4079521888 4114210880 4146399296 4203952450 4238109200 4262559830 4372110548 4400061760 4468812725 4472193920 4514195200 4542071950 4688590400 4759927600 4795627057 4837959200 4864045328 4950324704 5031477568 5099402360 5128821989 5142763600 5182999120 5212901038 5216134400 5381059136 5465138185 5500077200 5541327779 5590242400 5720080288 5813852096 5868453760 5902310224 6080056660 6187905880 6276187520 6289346960 6329555200 6374252950 6379075840 6478748900 6687740800 6726323920 6780974720 6820095728 7150100360 7267315120 7335567200 7377887780 7600070825 7615884160 7734882350 7740734720 7845234400 7861683700 7904073658 7973844800 8115286400 8159043776 8228421760 8292798592 8407904900 8476218400 8525119660 8744221096 8800123520 8937625450 8944387840 9084143900 9222359725 9377180800 9519855200 9591254114 9675918400 9728090656 9900649408 10062955136 10198804720 10257643978 10285527200 10365998240 10425802076 10656399575 10762118272 10930276370 11000154400 11082655558 11180484800 11440160576 11627704192 11736907520 11804620448 12160113320 12375811760 12552375040 12578693920 12748505900 12957497800 13032252595 13375481600 13452647840 13561949440 13640191456 14300200720 14534630240 14671134400 14755775560 15200141650 15231768320 15469764700 15690468800 15723367400 15808147316 15947689600 16230572800 16318087552 16456843520 16585597184 16815809800 16952436800 17050239320 17488442192 17600247040 17875250900 18168287800 18444719450 18754361600 19039710400 19182508228 19351836800 19456181312 19760184145 19801298816 20125910272 20397609440 20515287956 20571054400 20731996480 20851604152 21312799150 21524236544 21860552740 22000308800 22165311116 22360969600 22880321152 23255408384 23609240896 23978135285 24320226640 24751623520 25157387840 25497011800 25644109945 25914995600 26064505190 26905295680 27280382912 27325690925 27706638895 28600401440 29069260480 29342268800 29511551120 30400283300 30939529400 31380937600 31446734800 31616294632 31895379200 32636175104 33631619600 33883856747 33904873600 34100478640 34976884384 35750501800 36336575600 36889438900 38079420800 38365016456 38703673600 38912362624 39520368290 39602597632 40795218880 41030575912 41142108800 41463992960 41703208304 42625598300 43721105480 44000617600 44330622232 44721939200 45760642304 47218481792 47956270570 48640453280 49503247040 50314775680 50994023600 51288219890 51829991200 52129010380 53810591360 54560765824 54651381850 55413277790 57200802880 58138520960 58684537600 59023102240 60800566600 61879058800 62761875200 62893469600 63232589264 65161262975 66674685857 67263239200 67767713494 67809747200 68200957280 69953768768 71501003600 72673151200 73778877800 76158841600 76730032912 77824725248 79040736580 81590437760 82061151824 82284217600 82927985920 83406416608 85251196600 87442210960 88001235200 88661244464 94436963584 95912541140 97280906560 98800920725 99006494080 100629551360 101988047200 102576439780 103659982400 104258020760 107621182720 109121531648 109302763700 110826555580 114401605760 116277041920 118046204480 119890676425 121601133200 123758117600 125786939200 126465178528 128220549725 130322525950 133349371714 134526478400 135535426988 136401914560 138533194475 139907537536 143002007200 145346302400 147557755600 153460065824 158081473160 158993481659 163180875520 164122303648 166812833216 169419283735 170502393200 174884421920 177322488928 191825082280 194561813120 197601841450 198012988160 203976094400 205152879560 207319964800 208516041520 218605527400 221653111160 228803211520 236092408960 239781352850 243202266400 247516235200 251573878400 252930357056 256441099450 260645051900 266698743428 269052956800 271070853976 272803829120 277066388950 279815075072 286004014400 290692604800 295115511200 306920131648 316162946320 317986963318 328244607296 333373429285 333625666432 338838567470 341004786400 349768843840 354644977856 383650164560 389123626240 395203682900 407952188800 410305759120 414639929600 417032083040 437211054800 443306222320 472184817920 479562705700 486404532800 495032470400 503147756800 505860714112 512882198900 521290103800 533397486856 538105913600 542141707952 545607658240 554132777900 572008028800 581385209600 590231022400 613840263296 632325892640 635973926636 656489214592 666746858570 667251332864 677677134940 682009572800 699537687680 709289955712 767300329120 790407365800 794967408295 815904377600 820611518240 834064166080 847096418675 874422109600 886612444640 959125411400 972809065600 990064940800 1011721428224 1025764397800 1042580207600 1066794973712 1084283415904 1108265555800 1144016057600 1180462044800 1227680526592 1264651785280 1271947853272 1312978429184 1333493717140 1355354269880 1364019145600 1399075375360 1418579911424 1534600658240 1580814731600 1589934816590 1641223036480 1666867146425 1668128332160 1694192837350 1748844219200 1773224889280 1918250822800 1945618131200 2051528795600 2066915261567 2085160415200 2133589947424 2168566831808 2216531111600 2360924089600 2529303570560 2543895706544 2666987434280 2710708539760 2728038291200 3069201316480 3161629463200 3179869633180 3282446072960 3333734292850 3336256664320 3388385674700 3497688438400 3546449778560 3836501645600 3974837041475 4103057591200 4133830523134 4170320830400 4267179894848 4337133663616 4433062223200 5058607141120 5087791413088 5333974868560 5421417079520 6138402632960 6323258926400 6359739266360 6564892145920 6667468585700 6776771349400 6995376876800 7092899557120 7673003291200 7949674082950 8206115182400 8267661046268 8340641660800 8534359789696 8674267327232 8866124446400 10175582826176 10334576307835 10667949737120 10842834159040 12646517852800 12719478532720 13334937171400 13553542698800 15346006582400 15899348165900 16412230364800 16535322092536 16681283321600 17068719579392 17732248892800 20351165652352 20669152615670 21335899474240 21685668318080 25293035705600 25438957065440 26669874342800 27107085397600 30692013164800 31798696331800 32824460729600 33070644185072 35464497785600 40702331304704 41338305231340 42671798948480 43371336636160 50877914130880 51672881539175 53339748685600 54214170795200 63597392663600 66141288370144 82676610462680 85343597896960 101755828261760 103345763078350 106679497371200 108428341590400 127194785327200 132282576740288 165353220925360 203511656523520 206691526156700 213358994742400 216856683180800 254389570654400 264565153480576 330706441850720 413383052313400 426717989484800 508779141308800 529130306961152 661412883701440 826766104626800 1017558282617600 1322825767402880 1653532209253600 2645651534805760 3307064418507200 6614128837014400 13228257674028800
- Sum of all divisors σ(n): 37251085569933312
- Sum of proper divisors (its aliquot sum) s(n): 24022827895904512
- 13228257674028800 is an abundant number, because the sum of its proper divisors (24022827895904512) is greater than itself. Its abundance is 10794570221875712
Bases of 13228257674028800
- Binary: 1011101111111100000111101111111010100001100111000000002
- Hexadecimal: 0x2EFF07BFA86700
- Base-36: 3M90XOJMHVK
Squares and roots of 13228257674028800
- 13228257674028800 squared (132282576740288002) is 174986801090501837918023229440000
- 13228257674028800 cubed (132282576740288003) is 2314770494379182125821601420681981791567872000000
-
The
square root of 13228257674028800 is 115014162.9280011757 -
The
cube root of 13228257674028800 is 236501.6719456453
Scales and comparisons
How big is 13228257674028800?- 13,228,257,674,028,800 seconds is equal to 420,617,676 years, 18 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,228,257,674,028,800 would take you about one billion, two hundred sixty-one million, eight hundred fifty-three thousand and twenty-nine 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 13228257674028800 cubic inches would be around 19708.5 feet tall.
Recreational maths with 13228257674028800
- 13228257674028800 backwards is 00882047675282231
- 13228257674028800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13228257674028800's digits is 65
- 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 13228257674028800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 13228257674028800 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13228257674028800/
Chicago style:
Numbermatics. 2024. "Number 13228257674028800 - Facts about the integer". https://numbermatics.com/n/13228257674028800/
The information we have on file for 13228257674028800 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 13228257674028800, math, Factors of 13228257674028800, curriculum, school, college, exams, university, Prime factorization of 13228257674028800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred twenty-eight trillion, two hundred fifty-seven billion, six hundred seventy-four million, twenty-eight thousand, eight hundred.