742230202074879344640
742,230,202,074,879,344,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 742230202074879344640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
742230202074879344640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 742230202074879344640:
214 × 3 × 5 × 112 × 607 × 41120024287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 607 × 41120024287)See below for interesting mathematical facts about the number 742230202074879344640 from the Numbermatics database.
Names of 742230202074879344640
- Cardinal: 742230202074879344640 can be written as Seven hundred forty-two quintillion, two hundred thirty quadrillion, two hundred two trillion, seventy-four billion, eight hundred seventy-nine million, three hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 7.4223020207487934464 × 1020
Factors of 742230202074879344640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 41120024915
Divisors of 742230202074879344640
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 121 128 132 160 165 176 192 220 240 242 256 264 320 330 352 363 384 440 480 484 512 528 605 607 640 660 704 726 768 880 960 968 1024 1056 1210 1214 1280 1320 1408 1452 1536 1760 1815 1821 1920 1936 2048 2112 2420 2428 2560 2640 2816 2904 3035 3072 3520 3630 3642 3840 3872 4096 4224 4840 4856 5120 5280 5632 5808 6070 6144 6677 7040 7260 7284 7680 7744 8192 8448 9105 9680 9712 10240 10560 11264 11616 12140 12288 13354 14080 14520 14568 15360 15488 16384 16896 18210 19360 19424 20031 20480 21120 22528 23232 24280 24576 26708 28160 29040 29136 30720 30976 33385 33792 36420 38720 38848 40062 40960 42240 45056 46464 48560 49152 53416 56320 58080 58272 61440 61952 66770 67584 72840 73447 77440 77696 80124 81920 84480 90112 92928 97120 100155 106832 112640 116160 116544 122880 123904 133540 135168 145680 146894 154880 155392 160248 168960 180224 185856 194240 200310 213664 220341 225280 232320 233088 245760 247808 267080 270336 291360 293788 309760 310784 320496 337920 367235 371712 388480 400620 427328 440682 450560 464640 466176 495616 534160 540672 582720 587576 619520 621568 640992 675840 734470 743424 776960 801240 854656 881364 901120 929280 932352 991232 1068320 1101705 1165440 1175152 1239040 1243136 1281984 1351680 1468940 1486848 1553920 1602480 1709312 1762728 1858560 1864704 1982464 2136640 2203410 2330880 2350304 2478080 2486272 2563968 2703360 2937880 2973696 3107840 3204960 3418624 3525456 3717120 3729408 4273280 4406820 4661760 4700608 4956160 4972544 5127936 5875760 5947392 6215680 6409920 6837248 7050912 7434240 7458816 8546560 8813640 9323520 9401216 9912320 9945088 10255872 11751520 12431360 12819840 13674496 14101824 14868480 14917632 17093120 17627280 18647040 18802432 20511744 23503040 24862720 25639680 27348992 28203648 29736960 29835264 34186240 35254560 37294080 37604864 41023488 47006080 49725440 51279360 54697984 56407296 68372480 70509120 74588160 75209728 82046976 94012160 102558720 109395968 112814592 136744960 141018240 149176320 150419456 164093952 188024320 205117440 225629184 273489920 282036480 300838912 328187904 376048640 410234880 451258368 546979840 564072960 601677824 752097280 820469760 902516736 1128145920 1203355648 1504194560 1640939520 1805033472 2256291840 3008389120 3610066944 4512583680 6016778240 9025167360 18050334720 41120024287 82240048574 123360072861 164480097148 205600121435 246720145722 328960194296 411200242870 452320267157 493440291444 616800364305 657920388592 822400485740 904640534314 986880582888 1233600728610 1315840777184 1356960801471 1644800971480 1809281068628 1973761165776 2261601335785 2467201457220 2631681554368 2713921602942 3289601942960 3618562137256 3947522331552 4523202671570 4934402914440 4975522938727 5263363108736 5427843205884 6579203885920 6784804007355 7237124274512 7895044663104 9046405343140 9868805828880 9951045877454 10526726217472 10855686411768 13158407771840 13569608014710 14474248549024 14926568816181 15790089326208 18092810686280 19737611657760 19902091754908 21053452434944 21711372823536 24877614693635 24959854742209 26316815543680 27139216029420 28948497098048 29853137632362 31580178652416 36185621372560 39475223315520 39804183509816 42106904869888 43422745647072 49755229387270 49919709484418 52633631087360 54278432058840 57896994196096 59706275264724 63160357304832 72371242745120 74632844080905 74879564226627 78950446631040 79608367019632 84213809739776 86845491294144 99510458774540 99839418968836 105267262174720 108556864117680 115793988392192 119412550529448 124799273711045 126320714609664 144742485490240 149265688161810 149759128453254 157900893262080 159216734039264 168427619479552 173690982588288 199020917549080 199678837937672 210534524349440 217113728235360 231587976784384 238825101058896 249598547422090 252641429219328 274558402164299 289484970980480 298531376323620 299518256906508 315801786524160 318433468078528 336855238959104 347381965176576 374397821133135 398041835098160 399357675875344 421069048698880 434227456470720 463175953568768 477650202117792 499197094844180 505282858438656 549116804328598 578969941960960 597062752647240 599036513813016 631603573048320 636866936157056 673710477918208 694763930353152 748795642266270 796083670196320 798715351750688 823675206492897 842138097397760 868454912941440 926351907137536 955300404235584 998394189688360 1010565716877312 1098233608657196 1157939883921920 1194125505294480 1198073027626032 1263207146096640 1273733872314112 1372792010821495 1389527860706304 1497591284532540 1592167340392640 1597430703501376 1647350412985794 1684276194795520 1736909825882880 1852703814275072 1910600808471168 1996788379376720 2021131433754624 2196467217314392 2315879767843840 2388251010588960 2396146055252064 2526414292193280 2547467744628224 2745584021642990 2779055721412608 2995182569065080 3020142423807289 3184334680785280 3194861407002752 3294700825971588 3368552389591040 3473819651765760 3705407628550144 3821201616942336 3993576758753440 4118376032464485 4392934434628784 4631759535687680 4776502021177920 4792292110504128 5052828584386560 5094935489256448 5491168043285980 5558111442825216 5990365138130160 6040284847614578 6368669361570560 6389722814005504 6589401651943176 6947639303531520 7410815257100288 7642403233884672 7987153517506880 8236752064928970 8785868869257568 9060427271421867 9263519071375360 9553004042355840 9584584221008256 10105657168773120 10189870978512896 10982336086571960 11116222885650432 11980730276260320 12080569695229156 12737338723141120 12779445628011008 13178803303886352 13895278607063040 15100712119036445 15284806467769344 15974307035013760 16473504129857940 17571737738515136 18120854542843734 18527038142750720 19106008084711680 19169168442016512 20379741957025792 21964672173143920 22232445771300864 23961460552520640 24161139390458312 25474677446282240 25558891256022016 26357606607772704 27790557214126080 30201424238072890 30569612935538688 31948614070027520 32947008259715880 35143475477030272 36241709085687468 37054076285501440 38212016169423360 38338336884033024 40759483914051584 43929344346287840 45302136357109335 47922921105041280 48322278780916624 50949354892564480 51117782512044032 52715213215545408 55581114428252160 60402848476145780 61139225871077376 63897228140055040 65894016519431760 70286950954060544 72483418171374936 76424032338846720 76676673768066048 81518967828103168 87858688692575680 90604272714218670 95845842210082560 96644557561833248 101898709785128960 102235565024088064 105430426431090816 111162228856504320 120805696952291560 122278451742154752 127794456280110080 131788033038863520 140573901908121088 144966836342749872 152848064677693440 153353347536132096 175717377385151360 181208545428437340 191691684420165120 193289115123666496 203797419570257920 204471130048176128 210860852862181632 241611393904583120 244556903484309504 255588912560220160 263576066077727040 281147803816242176 289933672685499744 305696129355386880 306706695072264192 351434754770302720 362417090856874680 383383368840330240 386578230247332992 407594839140515840 408942260096352256 421721705724363264 483222787809166240 511177825120440320 527152132155454080 562295607632484352 579867345370999488 611392258710773760 613413390144528384 702869509540605440 724834181713749360 766766737680660480 773156460494665984 843443411448726528 966445575618332480 1022355650240880640 1054304264310908160 1124591215264968704 1159734690741998976 1222784517421547520 1226826780289056768 1405739019081210880 1449668363427498720 1533533475361320960 1546312920989331968 1686886822897453056 1932891151236664960 2044711300481761280 2108608528621816320 2249182430529937408 2319469381483997952 2811478038162421760 2899336726854997440 3067066950722641920 3092625841978663936 3373773645794906112 3865782302473329920 4217217057243632640 4498364861059874816 4638938762967995904 5622956076324843520 5798673453709994880 6134133901445283840 6185251683957327872 6747547291589812224 7731564604946659840 8434434114487265280 9277877525935991808 11245912152649687040 11597346907419989760 12370503367914655744 13495094583179624448 15463129209893319680 16868868228974530560 18555755051871983616 22491824305299374080 23194693814839979520 24741006735829311488 30926258419786639360 33737736457949061120 37111510103743967232 46389387629679959040 49482013471658622976 61852516839573278720 67475472915898122240 74223020207487934464 92778775259359918080 123705033679146557440 148446040414975868928 185557550518719836160 247410067358293114880 371115101037439672320 742230202074879344640
- Sum of all divisors σ(n): 2614908553098280083456
- Sum of proper divisors (its aliquot sum) s(n): 1872678351023400738816
- 742230202074879344640 is an abundant number, because the sum of its proper divisors (1872678351023400738816) is greater than itself. Its abundance is 1130448148948521394176
Bases of 742230202074879344640
- Binary: 10100000111100100000110110010001001000011011111001010111000000000000002
- Hexadecimal: 0x283C8364486F95C000
- Base-36: 4CN47RUFM25KAO
Squares and roots of 742230202074879344640
- 742230202074879344640 squared (7422302020748793446402) is 550905672872116226201156550813715896729600
- 742230202074879344640 cubed (7422302020748793446403) is 408898828900068202483884408891940213735196052449462367289344000
-
The
square root of 742230202074879344640 is 27243902108.0842849339 -
The
cube root of 742230202074879344640 is 9054119.1918472367
Scales and comparisons
How big is 742230202074879344640?- 742,230,202,074,879,344,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 742,230,202,074,879,344,640 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 742230202074879344640 cubic inches would be around 754509.9 feet tall.
Recreational maths with 742230202074879344640
- 742230202074879344640 backwards is 046443978470202032247
- The number of decimal digits it has is: 21
- The sum of 742230202074879344640's digits is 78
- More coming soon!
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The information we have on file for 742230202074879344640 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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