138234273202400750
138,234,273,202,400,750 is an even composite number composed of six prime numbers multiplied together.
138234273202400750 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138234273202400750:
2 × 53 × 19 × 313 × 473 × 972
(2 × 5 × 5 × 5 × 19 × 31 × 31 × 31 × 47 × 47 × 47 × 97 × 97)See below for interesting mathematical facts about the number 138234273202400750 from the Numbermatics database.
Names of 138234273202400750
- Cardinal: 138234273202400750 can be written as One hundred thirty-eight quadrillion, two hundred thirty-four trillion, two hundred seventy-three billion, two hundred two million, four hundred thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3823427320240075 × 1017
Factors of 138234273202400750
Divisors of 138234273202400750
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 5 10 19 25 31 38 47 50 62 94 95 97 125 155 190 194 235 250 310 470 475 485 589 775 893 950 961 970 1175 1178 1457 1550 1786 1843 1922 2209 2350 2375 2425 2914 2945 3007 3686 3875 4418 4465 4559 4750 4805 4850 5875 5890 6014 7285 7750 8930 9118 9215 9409 9610 11045 11750 12125 14570 14725 15035 18259 18430 18818 22090 22325 22795 24025 24250 27683 29450 29791 30070 36425 36518 41971 44650 45167 45590 46075 47045 48050 55225 55366 57133 59582 68479 72850 73625 75175 83942 86621 90334 91295 92150 93217 94090 103823 110450 111625 113975 114266 120125 136958 138415 141329 147250 148955 150350 173242 178771 182125 182590 186434 207646 209855 214273 223250 225835 227950 230375 235225 240250 276125 276830 282658 285665 291679 297910 342395 357542 364250 375875 419710 428546 433105 442223 451670 456475 460750 466085 470450 519115 552250 566029 569875 571330 583358 684790 692075 706645 744775 751750 858173 866210 884446 893855 912950 932170 1038230 1049275 1071365 1129175 1132058 1139750 1176125 1301101 1384150 1400177 1413290 1428325 1458395 1489550 1711975 1716346 1771123 1787710 1972637 2098550 2122849 2142730 2165525 2211115 2258350 2282375 2330425 2352250 2595575 2602202 2685251 2800354 2830145 2856650 2889727 2916790 3218513 3423950 3460375 3533225 3542246 3723875 3945274 4071187 4245698 4290865 4331050 4381199 4422230 4469275 4564750 4660850 5191150 5246375 5356825 5370502 5541901 5645875 5660290 5779454 6437026 6505505 6642463 6920750 7000885 7066450 7141625 7291975 7447750 8142374 8402237 8559875 8581730 8762398 8855615 8938550 9042049 9863185 10070831 10492750 10614245 10713650 10827625 11055575 11083802 11291750 11652125 12977875 13011010 13284926 13426255 13708913 14001770 14150725 14283250 14448635 14583950 16092565 16804474 17119750 17666125 17711230 18084098 19726370 20141662 20355935 20784481 21228490 21454325 21655250 21905995 22111150 22346375 23304250 25955750 26603363 26784125 26852510 27417826 27709505 28301450 28897270 32185130 32527525 33212315 35004425 35332250 36459875 40334131 40711870 41568962 42011185 42908650 43811990 44278075 44692750 45210245 49315925 50354155 53071225 53206726 53568250 54904813 55277875 55419010 61151747 65055050 65808319 66424630 67131275 68544565 70008850 70753625 72243175 72919750 80462825 80668262 83242781 84022370 88556150 90420490 98631850 99773903 100708310 101779675 103922405 106142450 107271625 109529975 109809626 110555750 122303494 126206797 131616638 133016815 134262550 135817169 137089130 138547525 141507250 144486350 160925650 162637625 166061575 166485562 171798931 175022125 191345789 199547806 201670655 203559350 205916353 207844810 210055925 214543250 219059950 221390375 226051225 246579625 251770775 252413594 260469347 265356125 266033630 271634338 274524065 277095050 280303519 305758735 312195761 325275250 329041595 332123150 335656375 342722825 343597862 350044250 361215875 382691578 394905139 402314125 403341310 411832706 416213905 420111850 424976303 442780750 452102450 493159250 498869515 503541550 508898375 519612025 520938694 530712250 547649875 549048130 560607038 611517470 624391522 631033985 644318911 658083190 665084075 671312750 679085845 685445650 692737625 722431750 789810278 804628250 830307875 832427810 849952606 858994655 956728945 976870607 997739030 1008353275 1017796750 1029581765 1039224050 1050279625 1095299750 1130256125 1250358061 1258853875 1262067970 1288637822 1302346735 1330168150 1358171690 1372620325 1385475250 1401517595 1528793675 1560978805 1645207975 1660615750 1713614125 1717989310 1895704157 1913457890 1953741214 1974525695 2016706550 2059163530 2081069525 2100559250 2124881515 2260512250 2494347575 2500716122 2517707750 2580526211 2598060125 2604693470 2745240650 2803035190 3057587350 3092990993 3121957610 3155169925 3221594555 3290415950 3325420375 3395429225 3427228250 3791408314 3912410707 3949051390 4162139050 4249763030 4294973275 4783644725 4884353035 4988695150 5041766375 5147908825 5161052422 5196120250 5325766861 5931719459 6185981986 6251790305 6310339850 6383406943 6443189110 6511733675 6650840750 6790858450 6863101625 7007587975 7643968375 7804894025 7824821414 8074549757 8226039875 8589946550 9478520785 9567289450 9678068591 9768706070 9872628475 10083532750 10295817650 10405347625 10624407575 10651533722 11863438918 12242059309 12471737875 12503580610 12766813886 12902631055 13023467350 13174265393 13726203250 14015175950 15287936750 15464954965 15609788050 15775849625 16107972775 16149099514 16452079750 16977146125 18560541533 18957041570 19356137182 19562053535 19745256950 19973886241 20810695250 21248815150 21474866375 23918223625 24421765175 24484118618 24943475750 25739544125 25805262110 26348530786 26628834305 29658597295 30282988817 30929909930 31258951525 31551699250 31917034715 32215945550 32558668375 33954292250 35037939875 37121083066 39024470125 39124107070 39947772482 40372748785 42949732750 47392603925 47836447250 48390342955 48843530350 49363142375 51479088250 53122037875 53257668610 58766828867 59317194590 60565977634 61210296545 62517903050 63834069430 64513155275 65117336750 65871326965 70075879750 77324774825 78048940250 80539863875 80745497570 92802707665 94785207850 96780685910 97810267675 98726284750 99869431205 106244075750 117533657734 121284731917 122108825875 122420593090 129026310550 131742653930 133144171525 148292986475 151414944085 154649549650 156294757625 159585173575 161079727750 183883303229 185605415330 195620535350 199738862410 201863743925 236963019625 241951714775 242569463834 244217651750 250311042467 266288343050 293834144335 296585972950 300020126321 302829888170 306051482725 312589515250 319170347150 322565776375 329356634825 367766606458 379503838579 386623874125 403727487850 464013538325 473926039250 483903429550 489051338375 499347156025 500622084934 575376787523 587668288670 600040252642 606423659585 612102965450 619190473471 645131552750 658713269650 665720857625 741464932375 757074720425 759007677158 773247748250 797925867875 919416516145 928027076650 938772653327 978102676750 998694312050 1009318719625 1150753575046 1209758573875 1212847319170 1238380946942 1251555212335 1331441715250 1469170721675 1482929864750 1500100631605 1514149440850 1530257413625 1595851735750 1646783174125 1838833032290 1877545306654 1897519192895 2018637439250 2320067691625 2419517147750 2496735780125 2503110424670 2876883937615 2938341443350 3000201263210 3032118297925 3060514827250 3095952367355 3293566348250 3785373602125 3795038385790 4597082580725 4640135383250 4693863266635 4993471560250 5700382400099 5753767875230 6064236595850 6191904734710 6257776061675 7345853608375 7500503158025 7570747204250 9194165161450 9387726533270 9487595964475 11400764800198 11764618995949 12515552123350 14384419688075 14691707216750 15001006316050 15160591489625 15479761836775 17836680413213 18975191928950 22985412903625 23469316333175 23529237991898 28501912000495 28768839376150 29101952253137 30321182979250 30959523673550 31288880308375 35673360826426 37502515790125 45970825807250 46938632666350 47437979822375 57003824000990 58203904506274 58823094979745 62577760616750 71922098440375 75005031580250 77398809183875 89183402066065 94875959644750 117346581665875 117646189959490 142509560002475 143844196880750 145509761265685 154797618367750 178366804132130 234693163331750 285019120004950 291019522531370 294115474898725 445917010330325 552937092809603 588230949797450 712547800012375 727548806328425 891834020660650 1105874185619206 1425095600024750 1455097612656850 1470577374493625 2229585051651625 2764685464048015 2941154748987250 3637744031642125 4459170103303250 5529370928096030 7275488063284250 13823427320240075 27646854640480150 69117136601200375 138234273202400750
- Sum of all divisors σ(n): 290588152673894400
- Sum of proper divisors (its aliquot sum) s(n): 152353879471493650
- 138234273202400750 is an abundant number, because the sum of its proper divisors (152353879471493650) is greater than itself. Its abundance is 14119606269092900
Bases of 138234273202400750
- Binary: 1111010110001101101010110110011100000001101101101111011102
- Hexadecimal: 0x1EB1B56CE036DEE
- Base-36: 11T3YKFDJILQ
Squares and roots of 138234273202400750
- 138234273202400750 squared (1382342732024007502) is 19108714287795970102775563600562500
- 138234273202400750 cubed (1382342732024007503) is 2641479231405806802872535512268370732989050421875000
-
The
square root of 138234273202400750 is 371798699.8395781777 -
The
cube root of 138234273202400750 is 517057.1854561543
Scales and comparisons
How big is 138234273202400750?- 138,234,273,202,400,750 seconds is equal to 4,395,422,301 years, 8 weeks, 9 hours, 5 minutes, 50 seconds.
-
To count from 1 to 138,234,273,202,400,750 would take you about thirteen billion, one hundred eighty-six million, two hundred sixty-six thousand, nine hundred three 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 138234273202400750 cubic inches would be around 43088.1 feet tall.
Recreational maths with 138234273202400750
- 138234273202400750 backwards is 057004202372432831
- The number of decimal digits it has is: 18
- The sum of 138234273202400750's digits is 53
- More coming soon!
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"Number 138234273202400750 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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The information we have on file for 138234273202400750 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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