10428138239864800
10,428,138,239,864,800 is an even composite number composed of seven prime numbers multiplied together.
10428138239864800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 10428138239864800:
25 × 52 × 7 × 132 × 372 × 1512 × 353
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 37 × 37 × 151 × 151 × 353)See below for interesting mathematical facts about the number 10428138239864800 from the Numbermatics database.
Names of 10428138239864800
- Cardinal: 10428138239864800 can be written as Ten quadrillion, four hundred twenty-eight trillion, one hundred thirty-eight billion, two hundred thirty-nine million, eight hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.04281382398648 × 1016
Factors of 10428138239864800
Divisors of 10428138239864800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 50 52 56 65 70 74 80 91 100 104 112 130 140 148 151 160 169 175 182 185 200 208 224 259 260 280 296 302 325 338 350 353 364 370 400 416 455 481 518 520 560 592 604 650 676 700 706 728 740 755 800 845 910 925 962 1036 1040 1057 1120 1183 1184 1208 1295 1300 1352 1369 1400 1412 1456 1480 1510 1690 1765 1820 1850 1924 1963 2072 2080 2114 2275 2366 2405 2416 2471 2590 2600 2704 2738 2800 2824 2912 2960 3020 3367 3380 3530 3640 3700 3775 3848 3926 4144 4225 4228 4550 4589 4732 4810 4832 4942 5180 5200 5285 5408 5476 5587 5600 5648 5915 5920 6040 6253 6475 6734 6760 6845 7060 7280 7400 7550 7696 7852 8288 8450 8456 8825 9100 9178 9464 9583 9620 9815 9884 10360 10400 10570 10952 11174 11296 11830 12025 12080 12355 12506 12950 13061 13468 13520 13690 13741 14120 14560 14800 15100 15392 15704 16835 16900 16912 17650 17797 18200 18356 18928 19166 19240 19630 19768 20720 21140 21904 22348 22801 22945 23660 24050 24160 24710 25012 25519 25900 26122 26425 26936 27040 27380 27482 27935 28240 29575 29600 30200 31265 31408 32123 33670 33800 33824 34225 35300 35594 36400 36712 37856 38332 38480 39109 39260 39536 41440 42280 43771 43808 44696 45602 45890 47320 47915 48100 49075 49420 50024 51038 51800 52244 52850 53303 53872 54760 54964 55870 56480 59150 59657 60400 61775 62530 62816 64246 65305 67340 67600 68450 68705 70600 71188 72631 72800 73424 76664 76960 78218 78520 79072 84175 84560 87542 88985 89392 91204 91427 91780 94640 95830 96200 98150 98840 100048 102076 103600 104488 105700 106606 107744 109520 109928 111740 114005 114725 118300 119314 120800 123550 124579 125060 127595 128492 130610 134680 135200 136900 137410 139675 141200 142376 145262 146848 153328 156325 156436 157040 159607 160615 168350 169120 169793 175084 177970 178633 178784 182408 182854 183560 189280 191660 192400 195545 196300 197680 200096 204152 206719 207200 208976 211400 213212 218855 219040 219856 223480 228010 229450 231361 236600 238628 239575 247100 249158 250120 255190 256984 261220 266515 269360 273800 274820 279350 282400 284752 290524 296413 298285 306656 312650 312872 314080 319214 321230 326525 336700 339586 343525 350168 355940 357266 363155 364816 365708 367120 373121 383320 384800 391090 392600 395360 408304 413438 417599 417952 422800 426424 437710 439712 444925 446960 456020 457135 458900 462722 473200 477256 479150 483257 494200 498316 500240 508417 510380 513968 522440 533030 538720 547600 549640 558700 569504 570025 581048 592826 596570 622895 625300 625744 637975 638428 642460 653050 673400 679172 687050 692939 700336 711880 714532 726310 729632 731416 734240 746242 766640 782180 785200 798035 803075 816608 826876 835198 843637 845600 848965 852848 875420 889850 893165 893920 912040 914270 917800 925444 944203 946400 954512 958300 966514 977725 988400 996632 1000480 1016834 1020760 1027936 1033595 1044880 1066060 1094275 1095200 1099280 1117400 1140050 1156805 1162096 1185652 1188551 1193140 1245790 1250600 1251488 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4469600 4560200 4571350 4627220 4721015 4742608 4754204 4772560 4832570 4850573 4983160 5002400 5084170 5103800 5107424 5139680 5167975 5224400 5330300 5374694 5433376 5496400 5543512 5716256 5784025 5788132 5810480 5905459 5928260 5942755 5965700 5969936 6228950 6257440 6282341 6384280 6424600 6478108 6609421 6615008 6681584 6749096 6765598 6791720 6929390 7003360 7118800 7145320 7235165 7263100 7314160 7403552 7410325 7462420 7553624 7666400 7706738 7732112 7821800 7888844 7980350 8048753 8097635 8134672 8268760 8299564 8351980 8436370 8489650 8528480 8754200 8829236 8931650 9008207 9120400 9142700 9254440 9328025 9442030 9485216 9508408 9545120 9665140 9701146 9861055 9966320 10168340 10207600 10335950 10374455 10439975 10448800 10660600 10749388 10967281 10992800 11036545 11087024 11568050 11576264 11620960 11810918 11856520 11885510 11931400 11939872 12081425 12457900 12564682 12710425 12768560 12849200 12956216 13218842 13363168 13436735 13498192 13531196 13583440 13805477 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37768120 38033632 38533690 38660560 38804584 39444220 40243765 40488175 40673360 41343800 41497820 41759900 42181850 42642400 42997552 43869124 43976387 44146180 45041035 46272200 46305056 47210150 47243672 47426080 47542040 47725600 48325700 48505730 49305275 49831600 50258728 50841700 51277486 51824864 51872275 52875368 53746940 53947166 54124784 54836405 55182725 55221908 55435120 56341271 57881320 58104800 59054590 59282600 59427550 59699360 61653904 61804652 62429138 62823410 63057449 63110752 63842800 64390024 64781080 66094210 66396512 66815840 67183675 67490960 67655980 67917200 69027385 69293900 69871022 70633888 71453200 72065656 72351650 72971807 73141600 74624200 75245716 75536240 76770967 77067380 77255815 77321120 77609168 78888440 80487530 80976350 81346720 81670433 82687600 82995640 83519800 84363700 84569975 85995104 87738248 87952774 88292360 90082070 92544400 94057145 94420300 94487344 95084080 96334225 96651400 97011460 98610550 99663200 100517456 101683400 102554972 103744550 104633789 105750736 107493880 107894332 108249568 109672810 110365450 110443816 110870240 112682542 115762640 118109180 118565200 118855100 121264325 123307808 123609304 124858276 125646820 126114898 127685600 128193715 128780048 129562160 132188420 134367350 134867915 134981920 135311960 135834400 138054770 138587800 139742044 142574653 142906400 144131312 144703300 145943614 147636475 149248400 150491432 151072480 153541934 154134760 154511630 155218336 156072845 157058525 157776880 160975060 161952700 163340866 165235525 165375200 165991280 167039600 168727400 169139950 174677555 175476496 175905548 176584720 179471201 180164140 185088800 188114290 188840600 188974688 190168160 192668450 193302800 194022920 197221100 201034912 201218825 203366800 205109944 207489100 209267578 211501472 214987760 215788664 218501983 219345620 219881935 220730900 220887632 225205175 225365084 231525280 236218360 237130400 237710200 242528650 244548577 247218608 249716552 251293640 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624291380 628234100 630574490 640968575 643900240 647810800 653363464 660942100 666607318 674339575 674909600 676559800 690273850 698710220 703622192 712873265 717884804 720656560 729718070 732436523 752457160 755362400 767709670 770673800 772558150 776091680 780364225 788884400 804875300 811578794 816704330 820439776 829956400 837070312 863154656 873387775 874007932 877382480 879527740 882923600 897356005 900820700 901460336 940571450 944873440 948633491 950840800 970114600 978194308 998022571 998866208 1005174560 1008919184 1021605298 1025549720 1046337890 1057507360 1074938800 1078943320 1092509915 1096728100 1099409675 1104438160 1117936352 1126825420 1140597224 1143386062 1157626400 1167548912 1181091800 1191215444 1222742885 1228335472 1236093040 1248582760 1256468200 1261148980 1281937150 1287800480 1295621600 1306726928 1321884200 1333214636 1348679150 1353119600 1360239257 1380547700 1397420440 1407244384 1408531775 1425746530 1435769608 1441313120 1459436140 1464873046 1489019305 1504914320 1535419340 1541347600 1545116300 1560728450 1576436225 1577768800 1609750600 1623157588 1633408660 1659912800 1666518295 1674140624 1746775550 1748015864 1754764960 1759055480 1765847200 1794712010 1801641400 1802920672 1824295175 1881142900 1897266982 1919274175 1940229200 1956388616 1996045142 2017838368 2028946985 2041760825 2043210596 2051099440 2084627027 2092675780 2149877600 2157886640 2185019830 2193456200 2198819350 2208876320 2253650840 2281194448 2286772124 2333125613 2335097824 2362183600 2382430888 2445485770 2456670944 2472186080 2497165520 2512936400 2522297960 2554013245 2563874300 2613453856 2615844725 2643768400 2666429272 2697358300 2706239200 2720478514 2761095400 2794840880 2817063550 2840525779 2851493060 2858465155 2871539216 2918872280 2929746092 2978038610 3009828640 3070838680 3082695200 3090232600 3121456900 3152872450 3219501200 3246315176 3266817320 3333036590 3348281248 3493551100 3496031728 3518110960 3564366325 3589424020 3603282800 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9521674799 9529723552 9781943080 9980225710 10089191840 10144734925 10216052980 10255497200 10423135135 10463378900 10550524322 10665717088 10789433200 10881914056 10925099150 11018742857 11044381600 11268254200 11362103116 11405972240 11433860620 11665628065 11675489120 11718984368 11912154440 12227428850 12283354720 12332235383 12360930400 12485827600 12611489800 12770066225 12985260704 13067269280 13280868874 13332146360 13602392570 13974204400 14202628895 14257465300 14292325775 14357696080 14594361400 14648730460 14890193050 15049143200 15178135856 15354193400 15485800772 15968361136 16231575880 16334086600 16345684768 16665182950 16677016216 16741406240 17480158640 17590554800 17947120100 18294176992 18310913075 18665004904 18972669820 19043349598 19357250965 19563886160 19960451420 20289469850 20432105960 20510994400 20846270270 20926757800 21101048644 21578866400 21763828112 21850198300 22037485714 22536508400 22724206232 22811944480 22867721240 23331256130 23437968736 23715837275 23824308880 24454857700 24664470766 24950564275 24971655200 25222979600 25540132450 26376310805 26561737748 26664292720 27100151351 27204785140 27948408800 28405257790 28514930600 28584651550 28715392160 29188722800 29297460920 29780386100 30356271712 30708386800 30971601544 31936722272 32463151760 32668173200 33202172185 33330365900 33354032432 34005981425 34960317280 35181109600 35894240200 36621826150 36926835127 37330009808 37945339640 38086699196 38714501930 39127772320 39920902840 40578939700 40864211920 41692540540 41853515600 42202097288 43527656224 43700396600 44074971428 45073016800 45448412464 45735442480 46662512260 47431674550 47608373995 47648617760 48909715400 49328941532 49901128550 50328852509 50445959200 51080264900 52115675675 52752621610 53123475496 53328585440 54200302702 54409570280 55093714285 56810515580 57029861200 57169303100 58328140325 58377445600 58594921840 59560772200 61416773600 61661176915 61943203088 64926303520 65336346400 66404344370 66660731800 66708064864 68011962850 71013144475 71788480400 73243652300 73853670254 74660019616 75890679280 76173398392 77131199999 77429003860 79841805680 81157879400 81728423840 83385081080 83707031200 84404194576 86325647681 87400793200 88149942856 90896824928 91470884960 93325024520 94863349100 95216747990 96786254825 97819430800 98657883064 99802257100 100657705018 102160529800 104231351350 105505243220 106246950992 108400605404 108819140560 110187428570 113621031160 114059722400 114338606200 116656280650 117189843680 119121544400 123322353830 123886406176 131881554025 132808688740 133321463600 135500756755 136023925700 142026288950 143243657141 143576960800 146487304600 147707340508 151781358560 152346796784 154262399998 154858007720 159683611360 162315758800 166010860925 166770162160 168808389152 172651295362 174801586400 176299885712 184634175635 186650049040 189726698200 190433495980 193572509650 195638861600 197315766128 199604514200 201315410036 204321059600 208462702700 211010486440 212493901984 216801210808 217638281120 220374857140 227242062320 228677212400 233312561300 238041869975 238243088800 246644707660 251644262545 263763108050 265617377480 266642927200 271001513510 272047851400 275468571425 284052577900 286487314282 292974609200 295414681016 304693593568 308305884575 308524799996 309716015440 324631517600 332021721850 333540324320 345302590724 352301967563 352599771424 369268351270 373300098080 379453396400 380866991960 385655999995 387145019300 394631532256 399209028400 402630820072 408642119200 416925405400 422020972880 431628238405 433602421616 440749714280 454484124640 457354424800 466625122600 476083739950 493289415320 503288525090 527526216100 531234754960 542003027020 544095702800 550937142850 568105155800 572974628564 585949218400 590829362032 616611769150 617049599992 619432030880 664043443700 677503783775 690605181448 704603935126 716218285705 738536702540 758906792800 761733983920 771311999990 774290038600 798418056800 805261640144 833850810800 844041945760 863256476810 867204843232 881499428560 923170878175 933250245200 952167479900 986578830640 1002705599987 1006577050180 1055052432200 1062469509920 1084006054040 1088191405600 1101874285700 1136210311600 1145949257128 1181658724064 1233223538300 1234099199984 1258221312725 1328086887400 1355007567550 1381210362896 1409207870252 1432436571410 1477073405080 1523467967840 1542623999980 1548580077200 1610523280288 1667701621600 1726512953620 1761509837815 1762998857120 1846341756350 1862167542833 1866500490400 1904334959800 1928279999975 1973157661280 2005411199974 2013154100360 2110104864400 2158141192025 2168012108080 2203748571400 2272420623200 2291898514256 2466447076600 2468198399968 2516442625450 2656173774800 2710015135100 2762420725792 2818415740504 2864873142820 2954146810160 3085247999960 3097160154400 3453025907240 3523019675630 3581091428525 3692683512700 3724335085666 3808669919600 3856559999950 4010822399948 4026308200720 4220209728800 4316282384050 4336024216160 4407497142800 4583797028512 4932894153200 5013527999935 5032885250900 5312347549600 5420030270200 5636831481008 5729746285640 5908293620320 6170495999920 6906051814480 7046039351260 7162182857050 7385367025400 7448670171332 7617339839200 7713119999900 8021644799896 8052616401440 8632564768100 8807549189075 8814994285600 9310837714165 9865788306400 10027055999870 10065770501800 10840060540400 11273662962016 11459492571280 12340991999840 13035172799831 13812103628960 14092078702520 14324365714100 14770734050800 14897340342664 15426239999800 16043289599792 17265129536200 17615098378150 18621675428330 20054111999740 20131541003600 21680121080800 22918985142560 25067639999675 26070345599662 28184157405040 28648731428200 29541468101600 29794680685328 30852479999600 32086579199584 34530259072400 35230196756300 37243350856660 40108223999480 40263082007200 46554188570825 50135279999350 52140691199324 56368314810080 57297462856400 59589361370656 61704959999200 65175863999155 69060518144800 70460393512600 74486701713320 80216447998960 93108377141650 100270559998700 104281382398648 114594925712800 130351727998310 140920787025200 148973403426640 160432895997920 186216754283300 200541119997400 208562764797296 260703455996620 281841574050400 297946806853280 325879319995775 372433508566600 401082239994800 417125529594592 521406911993240 651758639991550 744867017133200 802164479989600 1042813823986480 1303517279983100 1489734034266400 2085627647972960 2607034559966200 5214069119932400 10428138239864800
- Sum of all divisors σ(n): 32687381828698128
- Sum of proper divisors (its aliquot sum) s(n): 22259243588833328
- 10428138239864800 is an abundant number, because the sum of its proper divisors (22259243588833328) is greater than itself. Its abundance is 11831105348968528
Bases of 10428138239864800
- Binary: 1001010000110001010110001000110111010010101111111000002
- Hexadecimal: 0x250C562374AFE0
- Base-36: 2UOGSKLGQN4
Squares and roots of 10428138239864800
- 10428138239864800 squared (104281382398648002) is 108746067149730529019922279040000
- 10428138239864800 cubed (104281382398648003) is 1134019021279010267089437672361480997473792000000
-
The
square root of 10428138239864800 is 102118256.1536613785 -
The
cube root of 10428138239864800 is 218475.2575101291
Scales and comparisons
How big is 10428138239864800?- 10,428,138,239,864,800 seconds is equal to 331,582,539 years, 35 weeks, 1 day, 21 hours, 6 minutes, 40 seconds.
-
To count from 1 to 10,428,138,239,864,800 would take you about nine hundred ninety-four million, seven hundred forty-seven thousand, six hundred nineteen 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 10428138239864800 cubic inches would be around 18206.3 feet tall.
Recreational maths with 10428138239864800
- 10428138239864800 backwards is 00846893283182401
- The number of decimal digits it has is: 17
- The sum of 10428138239864800's digits is 67
- More coming soon!
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"Number 10428138239864800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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The information we have on file for 10428138239864800 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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