1378113393334406400
1,378,113,393,334,406,400 is an even composite number composed of six prime numbers multiplied together.
1378113393334406400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 1378113393334406400:
28 × 33 × 52 × 72 × 19 × 8566265573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 8566265573)See below for interesting mathematical facts about the number 1378113393334406400 from the Numbermatics database.
Names of 1378113393334406400
- Cardinal: 1378113393334406400 can be written as One quintillion, three hundred seventy-eight quadrillion, one hundred thirteen trillion, three hundred ninety-three billion, three hundred thirty-four million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.3781133933344064 × 1018
Factors of 1378113393334406400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 8566265609
Divisors of 1378113393334406400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 84 90 95 96 98 100 105 108 112 114 120 126 128 133 135 140 144 147 150 152 160 168 171 175 180 189 190 192 196 200 210 216 224 225 228 240 245 252 256 266 270 280 285 288 294 300 304 315 320 336 342 350 360 378 380 384 392 399 400 420 432 441 448 450 456 475 480 490 504 513 525 532 540 560 570 576 588 600 608 630 640 665 672 675 684 700 720 735 756 760 768 784 798 800 840 855 864 882 896 900 912 931 945 950 960 980 1008 1026 1050 1064 1080 1120 1140 1152 1176 1197 1200 1216 1225 1260 1280 1323 1330 1344 1350 1368 1400 1425 1440 1470 1512 1520 1568 1575 1596 1600 1680 1710 1728 1764 1792 1800 1824 1862 1890 1900 1920 1960 1995 2016 2052 2100 2128 2160 2205 2240 2280 2304 2352 2394 2400 2432 2450 2520 2565 2646 2660 2688 2700 2736 2793 2800 2850 2880 2940 3024 3040 3136 3150 3192 3200 3325 3360 3420 3456 3528 3591 3600 3648 3675 3724 3780 3800 3840 3920 3990 4032 4104 4200 4256 4275 4320 4410 4480 4560 4655 4704 4725 4788 4800 4864 4900 5040 5130 5292 5320 5376 5400 5472 5586 5600 5700 5760 5880 5985 6048 6080 6272 6300 6384 6400 6615 6650 6720 6840 6912 7056 7182 7200 7296 7350 7448 7560 7600 7840 7980 8064 8208 8379 8400 8512 8550 8640 8820 8960 9120 9310 9408 9450 9576 9600 9800 9975 10080 10260 10584 10640 10800 10944 11025 11172 11200 11400 11520 11760 11970 12096 12160 12544 12600 12768 12825 13230 13300 13440 13680 13965 14112 14364 14400 14592 14700 14896 15120 15200 15680 15960 16128 16416 16758 16800 17024 17100 17280 17640 17955 18240 18620 18816 18900 19152 19200 19600 19950 20160 20520 21168 21280 21600 21888 22050 22344 22400 22800 23275 23520 23940 24192 24320 25137 25200 25536 25650 26460 26600 26880 27360 27930 28224 28728 28800 29400 29792 29925 30240 30400 31360 31920 32832 33075 33516 33600 34048 34200 34560 35280 35910 36480 37240 37632 37800 38304 39200 39900 40320 41040 41895 42336 42560 43200 43776 44100 44688 44800 45600 46550 47040 47880 48384 50274 50400 51072 51300 52920 53200 54720 55860 56448 57456 57600 58800 59584 59850 60480 60800 62720 63840 65664 66150 67032 67200 68400 69825 70560 71820 72960 74480 75600 76608 78400 79800 80640 82080 83790 84672 85120 86400 88200 89376 89775 91200 93100 94080 95760 100548 100800 102144 102600 105840 106400 109440 111720 112896 114912 117600 119168 119700 120960 121600 125685 127680 131328 132300 134064 134400 136800 139650 141120 143640 148960 151200 153216 156800 159600 164160 167580 169344 170240 172800 176400 178752 179550 182400 186200 188160 191520 201096 201600 205200 209475 211680 212800 218880 223440 229824 235200 238336 239400 241920 251370 255360 264600 268128 273600 279300 282240 287280 297920 302400 306432 313600 319200 328320 335160 338688 352800 357504 359100 364800 372400 383040 402192 403200 410400 418950 423360 425600 446880 459648 470400 478800 502740 510720 529200 536256 547200 558600 564480 574560 595840 604800 628425 638400 656640 670320 705600 715008 718200 744800 766080 804384 820800 837900 846720 851200 893760 919296 940800 957600 1005480 1058400 1072512 1094400 1117200 1149120 1191680 1209600 1256850 1276800 1340640 1411200 1436400 1489600 1532160 1608768 1641600 1675800 1693440 1787520 1915200 2010960 2116800 2145024 2234400 2298240 2513700 2553600 2681280 2822400 2872800 2979200 3217536 3283200 3351600 3575040 3830400 4021920 4233600 4468800 4596480 5027400 5362560 5745600 5958400 6435072 6703200 7660800 8043840 8467200 8937600 10054800 10725120 11491200 13406400 16087680 17875200 20109600 22982400 26812800 32175360 40219200 53625600 80438400 160876800 8566265573 17132531146 25698796719 34265062292 42831327865 51397593438 59963859011 68530124584 77096390157 85662655730 102795186876 119927718022 128493983595 137060249168 154192780314 162759045887 171325311460 179891577033 205590373752 214156639325 231289170471 239855436044 256987967190 274120498336 299819295055 308385560628 325518091774 342650622920 359783154066 385481950785 411180747504 419747013077 428313278650 462578340942 479710872088 488277137661 513975934380 539674731099 548240996672 599638590110 616771121256 642469917975 651036183548 685301245840 719566308132 770963901570 813795229435 822361495008 839494026154 856626557300 899457885165 925156681884 959421744176 976554275322 1027951868760 1079349462198 1096481993344 1139313321209 1156445852355 1199277180220 1233542242512 1259241039231 1284939835950 1302072367096 1370602491680 1439132616264 1464831412983 1499096475275 1541927803140 1619024193297 1627590458870 1644722990016 1678988052308 1713253114600 1798915770330 1850313363768 1918843488352 1927409753925 1953108550644 2055903737520 2098735065385 2158698924396 2192963986688 2278626642418 2312891704710 2398554360440 2441385688305 2467084485024 2518482078462 2569879671900 2604144734192 2698373655495 2741204983360 2878265232528 2929662825966 2998192950550 3083855606280 3238048386594 3255180917740 3289445980032 3357976104616 3417939963627 3426506229200 3597831540660 3700626727536 3777723117693 3837686976704 3854819507850 3906217101288 4068976147175 4111807475040 4197470130770 4317397848792 4394494238949 4497289425825 4557253284836 4625783409420 4797108720880 4882771376610 4934168970048 5036964156924 5139759343800 5208289468384 5396747310990 5482409966720 5696566606045 5756530465056 5782229261775 5859325651932 5996385901100 6167711212560 6296205196155 6476096773188 6510361835480 6578891960064 6715952209232 6835879927254 6853012458400 7195663081320 7324157064915 7401253455072 7555446235386 7675373953408 7709639015700 7812434202576 7975193248463 8095120966485 8137952294350 8223614950080 8394940261540 8634795697584 8788988477898 8994578851650 9114506569672 9251566818840 9594217441760 9765542753220 9868337940096 10073928313848 10253819890881 10279518687600 10416578936768 10493675326925 10793494621980 10964819933440 11333169353079 11393133212090 11513060930112 11564458523550 11718651303864 11992771802200 12206928441525 12335422425120 12592410392310 12952193546376 13020723670960 13431904418464 13491868277475 13671759854508 13706024916800 14391326162640 14648314129830 14802506910144 15110892470772 15350747906816 15419278031400 15624868405152 15950386496926 16190241932970 16275904588700 16447229900160 16789880523080 17089699818135 17269591395168 17577976955796 17989157703300 18229013139344 18503133637680 18888615588465 19188434883520 19531085506440 19736675880192 20147856627696 20507639781762 20559037375200 20833157873536 20987350653850 21586989243960 21972471194745 22666338706158 22786266424180 23026121860224 23128917047100 23437302607728 23925579745389 23985543604400 24413856883050 24670844850240 25184820784620 25904387092752 26041447341920 26863808836928 26983736554950 27343519709016 27412049833600 28482833030225 28782652325280 29296628259660 29605013820288 30221784941544 30761459672643 30838556062800 31249736810304 31481025980775 31900772993852 32380483865940 32551809177400 32894459800320 33579761046160 34179399636270 34539182790336 35155953911592 35978315406600 36458026278688 36620785324575 37006267275360 37777231176930 38376869767040 39062171012880 39875966242315 40295713255392 40475604832425 41015279563524 41118074750400 41666315747072 41974701307700 43173978487920 43944942389490 45332677412316 45572532848360 46052243720448 46257834094200 46874605215456 47851159490778 47971087208800 48827713766100 49341689700480 50369641569240 51269099454405 51808774185504 52082894683840 53727617673856 53967473109900 54687039418032 54824099667200 56665846765395 56965666060450 57565304650560 58593256519320 59210027640576 60443569883088 61522919345286 61677112125600 62499473620608 62962051961550 63801545987704 64760967731880 65103618354800 67159522092320 68358799272540 69078365580672 70311907823184 71776739236167 71956630813200 72916052557376 73241570649150 74012534550720 75554462353860 76753739534080 78124342025760 79751932484630 80591426510784 80951209664850 82030559127048 82236149500800 83949402615400 85448499090675 86347956975840 87889884778980 90665354824632 91145065696720 92515668188400 93749210430912 94443077942325 95702318981556 95942174417600 97655427532200 98683379400960 100739283138480 102538198908810 103617548371008 104165789367680 107455235347712 107934946219800 109374078836064 109862355973725 113331693530790 113931332120900 115130609301120 117186513038640 119627898726945 120887139766176 123045838690572 123354224251200 124998947241216 125924103923100 127603091975408 129521935463760 130207236709600 134319044184640 136717598545080 138156731161344 140623815646368 143553478472334 143913261626400 145832105114752 146483141298300 148025069101440 151108924707720 153807298363215 156248684051520 159503864969260 161182853021568 161902419329700 164061118254096 164472299001600 167898805230800 170896998181350 172695913951680 175779769557960 181330709649264 182290131393440 185031336376800 187498420861824 188886155884650 191404637963112 191884348835200 195310855064400 199379831211575 201478566276960 205076397817620 207235096742016 208331578735360 215330217708501 215869892439600 218748157672128 219724711947450 226663387061580 227862664241800 230261218602240 234373026077280 239255797453890 241774279532352 246091677381144 246708448502400 251848207846200 255206183950816 256345497272025 259043870927520 260414473419200 268638088369280 273435197090160 281247631292736 283329233826975 287106956944668 287826523252800 291664210229504 292966282596600 296050138202880 302217849415440 307614596726430 312497368103040 319007729938520 322365706043136 323804838659400 328122236508192 335797610461600 341793996362700 345391827903360 351559539115920 358883696180835 362661419298528 364580262786880 370062672753600 374996841723648 377772311769300 382809275926224 383768697670400 390621710128800 398759662423150 402957132553920 410152795635240 414470193484032 430660435417002 431739784879200 437496315344256 439449423894900 453326774123160 455725328483600 468746052154560 478511594907780 483548559064704 492183354762288 493416897004800 503696415692400 510412367901632 512690994544050 518087741855040 520828946838400 537276176738560 546870394180320 562495262585472 566658467653950 574213913889336 575653046505600 585932565193200 598139493634725 604435698830880 615229193452860 624994736206080 638015459877040 647609677318800 656244473016384 671595220923200 683587992725400 690783655806720 703119078231840 717767392361670 725322838597056 729160525573760 740125345507200 755544623538600 765618551852448 769036491816075 781243420257600 797519324846300 805914265107840 820305591270480 861320870834004 863479569758400 874992630688512 878898847789800 906653548246320 911450656967200 937492104309120 957023189815560 967097118129408 984366709524576 1007392831384800 1020824735803264 1025381989088100 1036175483710080 1041657893676800 1076651088542505 1093740788360640 1124990525170944 1133316935307900 1148427827778672 1151306093011200 1171865130386400 1196278987269450 1208871397661760 1230458386905720 1276030919754080 1295219354637600 1312488946032768 1343190441846400 1367175985450800 1406238156463680 1435534784723340 1450645677194112 1458321051147520 1480250691014400 1511089247077200 1531237103704896 1538072983632150 1562486840515200 1595038649692600 1611828530215680 1640611182540960 1722641741668008 1726959139516800 1757797695579600 1794418480904175 1813307096492640 1822901313934400 1874984208618240 1914046379631120 1968733419049152 2014785662769600 2041649471606528 2050763978176200 2072350967420160 2153302177085010 2187481576721280 2266633870615800 2296855655557344 2343730260772800 2392557974538900 2417742795323520 2460916773811440 2552061839508160 2590438709275200 2624977892065536 2686380883692800 2734351970901600 2812476312927360 2871069569446680 2901291354388224 3022178494154400 3062474207409792 3076145967264300 3124973681030400 3190077299385200 3281222365081920 3445283483336016 3453918279033600 3515595391159200 3588836961808350 3626614192985280 3645802627868800 3828092759262240 3937466838098304 4029571325539200 4101527956352400 4306604354170020 4374963153442560 4533267741231600 4593711311114688 4687460521545600 4785115949077800 4835485590647040 4921833547622880 5104123679016320 5180877418550400 5383255442712525 5468703941803200 5624952625854720 5742139138893360 6044356988308800 6124948414819584 6152291934528600 6380154598770400 6562444730163840 6890566966672032 7031190782318400 7177673923616700 7253228385970560 7291605255737600 7656185518524480 7874933676196608 8059142651078400 8203055912704800 8613208708340040 9066535482463200 9187422622229376 9374921043091200 9570231898155600 9843667095245760 10208247358032640 10361754837100800 10766510885425050 10937407883606400 11484278277786720 12088713976617600 12304583869057200 12760309197540800 13124889460327680 13781133933344064 14062381564636800 14355347847233400 14506456771941120 15312371037048960 16406111825409600 17226417416680080 18133070964926400 18374845244458752 19140463796311200 19687334190491520 21533021770850100 21874815767212800 22968556555573440 24177427953235200 24609167738114400 25520618395081600 27562267866688128 28124763129273600 28710695694466800 30624742074097920 32812223650819200 34452834833360160 36266141929852800 38280927592622400 39374668380983040 43066043541700200 45937113111146880 49218335476228800 51041236790163200 55124535733376256 57421391388933600 65624447301638400 68905669666720320 72532283859705600 76561855185244800 86132087083400400 91874226222293760 98436670952457600 114842782777867200 137811339333440640 153123710370489600 172264174166800800 196873341904915200 229685565555734400 275622678666881280 344528348333601600 459371131111468800 689056696667203200 1378113393334406400
- Sum of all divisors σ(n): 6187838510872670400
- Sum of proper divisors (its aliquot sum) s(n): 4809725117538264000
- 1378113393334406400 is an abundant number, because the sum of its proper divisors (4809725117538264000) is greater than itself. Its abundance is 3431611724203857600
Bases of 1378113393334406400
- Binary: 10011001000000000101011010100011001011110011111001101000000002
- Hexadecimal: 0x13200AD465E7CD00
- Base-36: AGXGFCWDX6O0
Squares and roots of 1378113393334406400
- 1378113393334406400 squared (13781133933344064002) is 1899196524887672326201658040360960000
- 1378113393334406400 cubed (13781133933344064003) is 2617308167521862526114166671212295669645443334144000000
-
The
square root of 1378113393334406400 is 1173930744.6925505921 -
The
cube root of 1378113393334406400 is 1112828.7004710297
Scales and comparisons
How big is 1378113393334406400?- 1,378,113,393,334,406,400 seconds is equal to 43,819,743,123 years, 22 weeks.
-
To count from 1 to 1,378,113,393,334,406,400 would take you about one hundred fifty-three billion, three hundred sixty-nine million, one hundred thousand, nine hundred thirty-one 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 1378113393334406400 cubic inches would be around 92735.7 feet tall.
Recreational maths with 1378113393334406400
- 1378113393334406400 backwards is 0046044333933118731
- 1378113393334406400 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 1378113393334406400's digits is 63
- 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 1378113393334406400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 1378113393334406400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/1378113393334406400/
Chicago style:
Numbermatics. 2024. "Number 1378113393334406400 - Facts about the integer". https://numbermatics.com/n/1378113393334406400/
The information we have on file for 1378113393334406400 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 1378113393334406400, math, Factors of 1378113393334406400, curriculum, school, college, exams, university, Prime factorization of 1378113393334406400, STEM, science, technology, engineering, physics, economics, calculator, one quintillion, three hundred seventy-eight quadrillion, one hundred thirteen trillion, three hundred ninety-three billion, three hundred thirty-four million, four hundred six thousand, four hundred.