13742620314919038400
13,742,620,314,919,038,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742620314919038400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
13742620314919038400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13742620314919038400:
26 × 52 × 11 × 13 × 173 × 1105692
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 17 × 17 × 17 × 110569 × 110569)See below for interesting mathematical facts about the number 13742620314919038400 from the Numbermatics database.
Names of 13742620314919038400
- Cardinal: 13742620314919038400 can be written as Thirteen quintillion, seven hundred forty-two quadrillion, six hundred twenty trillion, three hundred fourteen billion, nine hundred nineteen million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.37426203149190384 × 1019
Factors of 13742620314919038400
Divisors of 13742620314919038400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 32 34 40 44 50 52 55 64 65 68 80 85 88 100 104 110 130 136 143 160 170 176 187 200 208 220 221 260 272 275 286 289 320 325 340 352 374 400 416 425 440 442 520 544 550 572 578 650 680 704 715 748 800 832 850 880 884 935 1040 1088 1100 1105 1144 1156 1300 1360 1430 1445 1496 1600 1700 1760 1768 1870 2080 2200 2210 2288 2312 2431 2600 2720 2860 2890 2992 3179 3400 3520 3536 3575 3740 3757 4160 4400 4420 4576 4624 4675 4862 4913 5200 5440 5525 5720 5780 5984 6358 6800 7072 7150 7225 7480 7514 8800 8840 9152 9248 9350 9724 9826 10400 11050 11440 11560 11968 12155 12716 13600 14144 14300 14450 14960 15028 15895 17600 17680 18496 18700 18785 19448 19652 20800 22100 22880 23120 24310 24565 25432 27200 28600 28900 29920 30056 31790 35360 37400 37570 38896 39304 41327 44200 45760 46240 48620 49130 50864 54043 57200 57800 59840 60112 60775 63580 63869 70720 74800 75140 77792 78608 79475 82654 88400 92480 93925 97240 98260 101728 108086 110569 114400 115600 120224 121550 122825 127160 127738 149600 150280 155584 157216 158950 165308 176800 187850 194480 196520 203456 206635 216172 221138 228800 231200 240448 243100 245650 254320 255476 270215 299200 300560 314432 317900 319345 330616 353600 375700 388960 393040 413270 432344 442276 462400 486200 491300 508640 510952 540430 552845 601120 635800 638690 661232 702559 751400 777920 786080 826540 864688 884552 972400 982600 1017280 1021904 1033175 1080860 1105690 1202240 1216259 1271600 1277380 1322464 1351075 1405118 1437397 1502800 1572160 1596725 1653080 1729376 1769104 1879673 1944800 1965200 2043808 2066350 2161720 2211380 2432518 2543200 2554760 2644928 2702150 2764225 2810236 2874794 3005600 3193450 3306160 3458752 3512795 3538208 3759346 3889600 3930400 4087616 4132700 4323440 4422760 4865036 5086400 5109520 5404300 5528450 5620472 5749588 6011200 6081295 6386900 6612320 7025590 7076416 7186985 7518692 7860800 8265400 8646880 8845520 9398365 9730072 10219040 10808600 11056900 11240944 11499176 12162590 12773800 13224640 14051180 14373970 15037384 15811367 16530800 17293760 17563975 17691040 18796730 19460144 20438080 20676403 21617200 22113800 22481888 22998352 24325180 24435749 25547600 28102360 28747940 30074768 30406475 31622734 31954441 33061600 35127950 35382080 35934925 37593460 38920288 41352806 43234400 44227600 44963776 45996704 46991825 48650360 48871498 51095200 56204720 57495880 60149536 60812950 63245468 63908882 66123200 70255900 71869850 75186920 77840576 79056835 82705612 86468800 88455200 91993408 93983650 97300720 97742996 102190400 103382015 112409440 114991760 120299072 121625900 122178745 126490936 127817764 140511800 143739700 150373840 158113670 159772205 165411224 176910400 187967300 194601440 195485992 206764030 224818880 229983520 243251800 244357490 252981872 255635528 268793239 281023600 287479400 300747680 316227340 319544410 330822448 351498851 375934600 389202880 390971984 395284175 413528060 415407733 459967040 486503600 488714980 505963744 511271056 516910075 537586478 543225497 562047200 574958800 601495360 610893725 632454680 639088820 661644896 702997702 751869200 781943968 790568350 798861025 827056120 830815466 973007200 977429960 1011927488 1022542112 1033820150 1075172956 1086450994 1124094400 1149917600 1221787450 1264909360 1278177640 1323289792 1343966195 1405995404 1503738400 1563887936 1581136700 1597722050 1654112240 1661630932 1757494255 1946014400 1954859920 2045084224 2067640300 2077038665 2150345912 2172901988 2299835200 2443574900 2529818720 2556355280 2687932390 2716127485 2811990808 3007476800 3162273400 3195444100 3308224480 3323261864 3514988510 3909719840 4135280600 4154077330 4300691824 4345803976 4569485063 4887149800 5059637440 5112710560 5375864780 5432254970 5623981616 5975480467 6324546800 6390888200 6616448960 6646523728 6719830975 7029977020 7061931461 7819439680 8270561200 8308154660 8601383648 8691607952 8787471275 9138970126 9774299600 10225421120 10385193325 10751729560 10864509940 11247963232 11950960934 12225503761 12649093600 12781776400 13293047456 13439661950 13580637425 14059954040 14123862922 16541122400 16616309320 17202767296 17383215904 17574942550 18277940252 19548599200 20770386650 21503459120 21729019880 22495926464 22847425315 23901921868 24451007522 25298187200 25563552800 26586094912 26879323900 27161274850 28119908080 28247725844 29877402335 33082244800 33232618640 34766431808 35149885100 35309657305 36555880504 39097198400 41540773300 43006918240 43458039760 45694850630 47803843736 48902015044 51127105600 53758647800 54322549700 56239816160 56495451688 59754804670 61127518805 66465237280 70299770200 70619314610 73111761008 77681246071 83081546600 86013836480 86916079520 91389701260 95607687472 97804030088 107517295600 108645099400 112479632320 112990903376 114237126575 119509609340 122255037610 132930474560 134480541371 140599540400 141238629220 146223522016 149387011675 155362492142 158931548893 166163093200 173832159040 176548286525 182779402520 191215374944 195608060176 207833563937 215034591200 217290198800 225981806752 228474253150 239019218680 244510075220 268961082742 281199080800 282477258440 292447044032 298774023350 305637594025 310724984284 317863097786 332326186400 353096573050 365558805040 382430749888 388406230355 391216120352 415667127874 430069182400 434580397600 451963613504 456948506300 478038437360 489020150440 537922165484 562398161600 564954516880 597548046700 611275188050 621449968568 635726195572 664652372800 672402706855 706193146100 731117610080 776812460710 782432240704 794657744465 831334255748 869160795200 913897012600 956076874720 978040300880 1039167819685 1075844330968 1129909033760 1195096093400 1222550376100 1242899937136 1271452391144 1344805413710 1412386292200 1462235220160 1553624921420 1589315488930 1662668511496 1748247037823 1827794025200 1912153749440 1942031151775 1956080601760 2078335639370 2151688661936 2259818067520 2286169203307 2390192186800 2445100752200 2485799874272 2542904782288 2689610827420 2701836331181 2824772584400 3107249842840 3178630977860 3325337022992 3362013534275 3496494075646 3533170586929 3655588050400 3884062303550 3912161203520 3973288722325 4156671278740 4303377323872 4572338406614 4780384373600 4890201504400 4971599748544 5085809564576 5195839098425 5379221654840 5403672662362 5649545168800 6214499685680 6357261955720 6650674045984 6724027068550 6992988151292 7066341173858 7311176100800 7768124607100 7946577444650 8313342557480 8606754647744 8741235189115 9144676813228 9560768747200 9780403008800 10171619129152 10391678196850 10758443309680 10807345324724 11299090337600 11430846016535 12428999371360 12714523911440 13301348091968 13448054137100 13509181655905 13985976302584 14132682347716 15536249214200 15893154889300 16626685114960 17482470378230 17665852934645 18289353626456 19560806017600 20783356393700 21516886619360 21614690649448 22861692033070 24857998742720 25429047822880 26896108274200 27018363311810 27971952605168 28265364695432 29720199642991 31072498428400 31786309778600 33253370229920 34964940756460 35331705869290 36578707252912 38864876456219 41566712787400 43033773238720 43229381298896 43706175945575 45723384066140 45931217630077 50858095645760 53792216548400 54036726623620 55943905210336 56530729390864 57154230082675 59440399285982 60063899977793 62144996856800 63572619557200 66506740459840 67545908279525 69929881512920 70663411738580 73157414505824 77729752912438 83133425574800 86458762597792 87412351891150 88329264673225 91446768132280 91862435260154 107584433096800 108073453247240 111887810420672 113061458781728 114308460165350 118880798571964 120127799955586 124289993713600 127145239114400 135091816559050 139859763025840 141326823477160 146314829011648 148600998214955 155459505824876 166266851149600 172917525195584 174824703782300 176658529346450 182893536264560 183724870520308 194324382281095 215168866193600 216146906494480 226122917563456 228616920330700 229656088150385 237761597143928 240255599911172 254290478228800 270183633118100 279719526051680 282653646954320 297201996429910 300319499888965 310919011649752 332533702299200 349649407564600 353317058692900 365787072529120 367449741040616 388648764562190 432293812988960 457233840661400 459312176300770 475523194287856 480511199822344 505243393930847 540367266236200 559439052103360 565307293908640 594403992859820 600638999777930 621838023299504 660702899755723 699298815129200 706634117385800 731574145058240 734899482081232 743004991074775 777297529124380 780830699711309 864587625977920 914467681322800 918624352601540 951046388575712 961022399644688 971621911405475 1010486787861694 1080734532472400 1130614587817280 1148280440751925 1188807985719640 1201277999555860 1243676046599008 1321405799511446 1398597630258400 1413268234771600 1469798964162464 1486009982149550 1501597499444825 1554595058248760 1561661399422618 1828935362645600 1837248705203080 1902092777151424 1922044799289376 1943243822810950 2020973575723388 2161469064944800 2296560881503850 2377615971439280 2402555999111720 2487352093198016 2526216969654235 2642811599022892 2797195260516800 2826536469543200 2939597928324928 2972019964299100 3003194998889650 3109190116497520 3123322798845236 3303514498778615 3657870725291200 3674497410406160 3844089598578752 3886487645621900 3904153498556545 4041947151446776 4322938129889600 4593121763007700 4755231942878560 4805111998223440 5052433939308470 5285623198045784 5653072939086400 5944039928598200 6006389997779300 6218380232995040 6246645597690472 6607028997557230 7348994820812320 7772975291243800 7808306997113090 8083894302893552 8589137696824399 9186243526015400 9510463885757120 9610223996446880 10104867878616940 10571246396091568 11888079857196400 12012779995558600 12436760465990080 12493291195380944 12631084848271175 13214057995114460 14697989641624640 15545950582487600 15616613994226180 16167788605787104 16517572493893075 17178275393648798 18372487052030800 19220447992893760 19520767492782725 20209735757233880 21142492792183136 23776159714392800 24025559991117200 24986582390761888 25262169696542350 26428115990228920 31091901164975200 31233227988452360 32335577211574208 33035144987786150 34356550787297596 36744974104061600 39041534985565450 40419471514467760 42284985584366272 42945688484121995 47552319428785600 48051119982234400 49973164781523776 50524339393084700 52856231980457840 62183802329950400 62466455976904720 66070289975572300 68713101574595192 73489948208123200 78083069971130900 80838943028935520 85891376968243990 96102239964468800 101048678786169400 105712463960915680 124932911953809440 132140579951144600 137426203149190384 156166139942261800 161677886057871040 171782753936487980 202097357572338800 211424927921831360 214728442420609975 249865823907618880 264281159902289200 274852406298380768 312332279884523600 343565507872975960 404194715144677600 429456884841219950 528562319804578400 549704812596761536 624664559769047200 687131015745951920 808389430289355200 858913769682439900 1057124639609156800 1249329119538094400 1374262031491903840 1717827539364879800 2748524062983807680 3435655078729759600 6871310157459519200 13742620314919038400
- Sum of all divisors σ(n): 42210052366001073120
- Sum of proper divisors (its aliquot sum) s(n): 28467432051082034720
- 13742620314919038400 is an abundant number, because the sum of its proper divisors (28467432051082034720) is greater than itself. Its abundance is 14724811736162996320
Bases of 13742620314919038400
- Binary: 10111110101101111001100001011101011010011101000011101101110000002
- Hexadecimal: 0xBEB7985D69D0EDC0
- Base-36: 2WERCBSY148N4
Squares and roots of 13742620314919038400
- 13742620314919038400 squared (137426203149190384002) is 188859613120025450167216746780674560000
- 13742620314919038400 cubed (137426203149190384003) is 2595425955931011908331434758830050922293528138543104000000
-
The
square root of 13742620314919038400 is 3707104033.4631881493 -
The
cube root of 13742620314919038400 is 2395281.2558364881
Scales and comparisons
How big is 13742620314919038400?- 13,742,620,314,919,038,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,742,620,314,919,038,400 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 13742620314919038400 cubic inches would be around 199606.8 feet tall.
Recreational maths with 13742620314919038400
- 13742620314919038400 backwards is 00483091941302624731
- The number of decimal digits it has is: 20
- The sum of 13742620314919038400's digits is 67
- More coming soon!
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"Number 13742620314919038400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13742620314919038400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13742620314919038400/
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The information we have on file for 13742620314919038400 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 13742620314919038400, math, Factors of 13742620314919038400, curriculum, school, college, exams, university, Prime factorization of 13742620314919038400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred forty-two quadrillion, six hundred twenty trillion, three hundred fourteen billion, nine hundred nineteen million, thirty-eight thousand, four hundred.