134409814529328
134,409,814,529,328 is an even composite number composed of seven prime numbers multiplied together.
134409814529328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 134409814529328:
24 × 34 × 13 × 23 × 312 × 612 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 23 × 31 × 31 × 61 × 61 × 97)See below for interesting mathematical facts about the number 134409814529328 from the Numbermatics database.
Names of 134409814529328
- Cardinal: 134409814529328 can be written as One hundred thirty-four trillion, four hundred nine billion, eight hundred fourteen million, five hundred twenty-nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.34409814529328 × 1014
Factors of 134409814529328
Divisors of 134409814529328
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 31 36 39 46 48 52 54 61 62 69 72 78 81 92 93 97 104 108 117 122 124 138 144 156 162 183 184 186 194 207 208 216 234 244 248 276 279 291 299 312 324 351 366 368 372 388 403 414 432 468 488 496 549 552 558 582 598 621 624 648 702 713 732 744 776 793 806 828 837 873 897 936 961 976 1053 1098 1104 1116 1164 1196 1209 1242 1261 1296 1403 1404 1426 1464 1488 1552 1586 1612 1647 1656 1674 1746 1794 1863 1872 1891 1922 2106 2139 2196 2231 2232 2328 2379 2392 2418 2484 2511 2522 2619 2691 2806 2808 2852 2883 2928 3007 3172 3224 3294 3312 3348 3492 3588 3627 3721 3726 3782 3783 3844 4209 4212 4278 4392 4462 4464 4656 4758 4784 4836 4941 4968 5022 5044 5238 5382 5612 5616 5673 5704 5766 5917 6014 6344 6417 6448 6588 6693 6696 6984 7137 7176 7254 7442 7452 7564 7566 7688 7857 8073 8418 8424 8556 8649 8784 8924 9021 9269 9516 9672 9882 9936 10044 10088 10476 10764 10881 11163 11224 11346 11349 11408 11532 11834 12028 12493 12627 12688 12834 13176 13386 13392 13968 14274 14352 14508 14884 14904 15128 15132 15376 15714 16146 16836 16848 17019 17112 17298 17751 17848 18042 18239 18538 19032 19251 19344 19764 20079 20088 20176 20952 21411 21528 21762 22103 22326 22448 22692 22698 23064 23668 24056 24219 24583 24986 25254 25668 25947 26352 26772 27063 27807 28548 29003 29016 29768 29808 30256 30264 31428 32292 32643 33489 33672 34038 34047 34224 34596 35502 35696 36084 36478 37076 37479 37881 38064 38502 39091 39528 40158 40176 41904 42822 43056 43493 43524 44206 44652 45384 45396 46128 47336 48112 48373 48438 49166 49972 50508 51057 51336 51894 53253 53544 54126 54717 55614 57096 57753 58006 58032 58621 59536 60237 60528 62856 64233 64584 65286 66309 66978 67344 68076 68094 69161 69192 71004 72168 72956 73749 74152 74958 75762 76921 77004 77841 78182 79056 80316 81189 83421 85583 85644 86986 87009 87048 88412 89304 90768 90792 93217 94672 96746 96876 98332 99944 100467 101016 102114 102141 102672 103788 106506 107088 108252 109434 111228 112437 113643 114192 115351 115506 116012 117242 117273 120474 125712 128466 129168 130479 130572 132618 133956 136091 136152 136188 138322 138384 142008 144336 145119 145912 147498 148304 149916 151524 153171 153842 154008 155682 156364 159759 160632 162378 164151 166842 171166 171288 173972 174018 174096 175863 176824 178608 180711 181584 183427 186434 193492 193752 196664 198927 199888 200934 202032 204228 204282 207483 207576 213012 216504 218868 221247 222456 224874 227286 230702 230763 231012 232024 234484 234546 240948 243567 250263 256749 256932 260958 261027 261144 265236 267912 272182 272304 272376 276644 279651 284016 287339 290238 291824 294996 299832 301401 303048 306342 307684 308016 311364 312728 319518 321264 324756 328302 333684 337311 342332 342576 346053 347944 348036 351726 351819 353648 360937 361422 366854 372868 386984 387504 391437 393328 397854 401868 408273 408456 408564 414966 415152 426024 433008 435357 437736 442494 444912 449748 454572 461404 461526 462024 464048 468968 469092 479277 481896 487134 492453 500526 513498 513864 521916 522054 522288 527589 530472 535824 544364 544752 550281 553288 559302 565409 574678 580476 589992 596781 599664 602802 606096 612684 615368 622449 622728 625456 639036 649512 656604 663741 667368 674622 684664 692106 692289 695888 696072 703452 703638 721874 722844 733708 745736 750789 762073 770247 773968 782874 783081 795708 803736 816546 816912 817128 829932 838953 852048 862017 870714 875472 884988 899093 899496 909144 922808 923052 924048 937936 938184 958554 963792 974268 984906 1001052 1011933 1026996 1027728 1038159 1043832 1044108 1055178 1055457 1060944 1082811 1088728 1100562 1106576 1112579 1118604 1130818 1149356 1160952 1174311 1179984 1193562 1205604 1211821 1224819 1225368 1230736 1244898 1245456 1278072 1299024 1306071 1313208 1327482 1334736 1348283 1349244 1369328 1384212 1384578 1392144 1406904 1407276 1443748 1445688 1467416 1477359 1491472 1499563 1501578 1524146 1540494 1565748 1566162 1582767 1591416 1607472 1633092 1634256 1650843 1659864 1677906 1696227 1724034 1741428 1769183 1769976 1790343 1798186 1798992 1818288 1845616 1846104 1867347 1876368 1917108 1948536 1969812 1991223 2002104 2023866 2053992 2076318 2076867 2087664 2088216 2110356 2110914 2143991 2165622 2177456 2201124 2225158 2237208 2261636 2286219 2298712 2310741 2321904 2348622 2349243 2384551 2387124 2411208 2423642 2449638 2450736 2489796 2516859 2556144 2586051 2612142 2626416 2653073 2654964 2696566 2697279 2698488 2768424 2769156 2813808 2814552 2887496 2891376 2934832 2954718 2999126 3003156 3048292 3080988 3114477 3131496 3132324 3165534 3166371 3182832 3248433 3266184 3301686 3319728 3337737 3355812 3392454 3448068 3482856 3522933 3538366 3539952 3575881 3580686 3596372 3635463 3674457 3692208 3734694 3834216 3897072 3918213 3939624 3982446 4004208 4044849 4047732 4107984 4152636 4153734 4176432 4218821 4220712 4221828 4287982 4331244 4402248 4450316 4474416 4498689 4523272 4572438 4597424 4621482 4692181 4697244 4698486 4748301 4769102 4774248 4822416 4847284 4899276 4952529 4979592 5033718 5088681 5172102 5224284 5306146 5307549 5309928 5393132 5394558 5396976 5536848 5538312 5602041 5629104 5686237 5774992 5909436 5998252 6006312 6096584 6161976 6228954 6230601 6262992 6264648 6331068 6332742 6431973 6496866 6532368 6603372 6675474 6711624 6784908 6858657 6896136 6932223 6965712 7045866 7076732 7151762 7153653 7161372 7192744 7270926 7348914 7469388 7550577 7668432 7758153 7836426 7879248 7959219 7964892 8089698 8091837 8095464 8301551 8305272 8307468 8437642 8441424 8443656 8575964 8662488 8804496 8900632 8997378 9046544 9144876 9242964 9343431 9384362 9394488 9396972 9496602 9538204 9548496 9694568 9745299 9798552 9905058 9959184 10013211 10067436 10177362 10344204 10448568 10612292 10615098 10619856 10727643 10786264 10789116 10906389 11023371 11076624 11189047 11204082 11372474 11818872 11996504 12012624 12134547 12193168 12323952 12457908 12461202 12529296 12656463 12662136 12665484 12863946 12993732 13206744 13350948 13423248 13496067 13569816 13717314 13792272 13864446 14076543 14091732 14153464 14303524 14307306 14322744 14385488 14541852 14697828 14857587 14938776 15101154 15266043 15516306 15672852 15918438 15922647 15929784 16179396 16183674 16190928 16603102 16610544 16614936 16875284 16887312 17058711 17151928 17324976 17527679 17801264 17994756 18289752 18485928 18686862 18768724 18788976 18793944 18993204 19076408 19295919 19389136 19490598 19597104 19810116 20026422 20134872 20354724 20575971 20688408 20897136 21224584 21230196 21455286 21460959 21572528 21578232 21812778 22046742 22378094 22408164 22744948 23274459 23637744 23877657 23993008 24269094 24275511 24904653 24915816 24922404 25312926 25324272 25330968 25727892 25987464 26413488 26701896 26992134 27139632 27434628 27728892 27871883 28153086 28183464 28306928 28607048 28614612 28645488 29083704 29235897 29395656 29715174 29877552 30039633 30202308 30532086 31032612 31345704 31836876 31845294 31859568 32182929 32358792 32367348 32719167 33206204 33229872 33567141 33750568 34117422 34303856 34489949 35055358 35989512 36403641 36579504 36971856 37373724 37537448 37587888 37969389 37986408 38152816 38591838 38981196 39620232 40052844 40269744 40488201 40709448 41151942 41376816 42229629 42449168 42460392 42910572 42921918 43156464 43625556 44093484 44756188 44816328 45489896 45798129 46486453 46548918 47755314 47767941 48538188 48551022 49809306 49831632 49844808 50625852 50661936 51176133 51455784 51974928 52583037 53403792 53984268 54844673 54869256 55457784 55743766 56306172 56366928 57214096 57229224 57887757 58167408 58471794 58791312 59430348 60079266 60404616 61064172 61727913 62065224 62691408 63673752 63690588 64365858 64382877 64717584 64734696 65438334 66412408 67134282 67501136 68234844 68979898 70110716 71632971 71979024 72807282 72826533 73921081 74713959 74747448 75074896 75938778 75972816 77183676 77962392 79240464 80105688 80976402 81418896 82245263 82303884 83615649 84459258 84920784 85821144 85843836 87251112 88186968 89512376 89632656 90118899 90979792 91596258 92972906 93097836 95510628 95535882 96548787 97076376 97102044 98157501 99618612 99689616 100701423 101251704 102352266 102911568 103469847 105166074 107920163 107968536 109210923 109689346 109738512 110915568 111487532 112612344 113908167 114458448 115775514 116943588 118860696 120158532 120809232 121464603 122128344 123455826 124130448 126688887 127347504 127381176 128731716 128765754 129469392 130783451 130876668 132824816 134268564 136469688 137959796 139459359 140221432 143265942 143303823 145457611 145614564 145653066 147842162 149427918 149494896 151877556 153528399 154367352 155924784 157749111 160211376 161952804 164490526 164534019 164607768 167231298 168918516 171642288 171687672 173663271 174502224 176373936 179024752 180237798 183192516 185945812 186195672 191021256 191071764 193097574 193148631 194152752 194204088 196315002 199237224 201402846 202503408 204704532 206939694 210332148 214898913 215840326 215937072 218421846 219378692 221763243 222975064 224141877 225224688 227816334 231551028 233887176 237721392 240317064 242929206 244256688 246735789 246911652 250846947 253377774 254762352 257348081 257463432 257531508 261566902 261753336 268537128 272939376 275919592 278918718 280442864 286531884 286607646 289646361 290915222 291229128 291306132 295684324 298855836 302104269 303755112 307056798 308734704 310409541 315498222 323760489 323905608 328981052 329068038 329215536 334462596 337837032 341724501 343375344 346860457 347326542 360475596 366385032 371891624 372391344 380066661 382042512 382143528 386195148 386297262 388408176 392350353 392630004 398474448 402805692 409409064 413879388 418378077 420664296 429797826 431680652 436372833 436843692 438757384 443526486 445950128 448283754 455632668 460585197 463102056 467774352 473247333 480634128 485858412 493471578 493602057 493823304 501693894 506755548 514696162 514926864 515063016 523133804 523506672 537074256 551839184 557837436 573063768 573215292 579292722 581830444 582458256 582612264 591368648 597711672 604208538 607510224 614113596 620819082 630996444 647520978 647811216 657962104 658136076 665289729 668925192 672425631 675674064 683449002 693720914 694653084 720951192 732770064 740207367 743783248 752540841 760133322 764287056 772044243 772390296 772594524 784700706 785260008 805611384 818818128 827758776 836756154 841328592 859595652 863361304 872745666 873687384 877514768 887052972 896567508 906312807 911265336 921170394 926204112 931228623 946494666 971281467 971716824 986943156 987204114 987646608 1003387788 1013511096 1029392324 1030126032 1040581371 1046267608 1069188419 1115674872 1146127536 1146430584 1158585444 1163660888 1165224528 1177051059 1182737296 1195423344 1208417076 1228227192 1241638164 1255134231 1261992888 1295041956 1309118499 1315924208 1316272152 1330579458 1337850384 1344851262 1366898004 1387441828 1389306168 1419741999 1441902384 1480414734 1480806171 1505081682 1520266644 1544088486 1544780592 1545189048 1569401412 1570520016 1611222768 1655517552 1673512308 1700184863 1719191304 1726722608 1745491332 1747374768 1774105944 1793135016 1812625614 1822530672 1842340788 1862457246 1892989332 1942562934 1943433648 1973886312 1974408228 1995869187 2006775576 2027022192 2058784648 2081162742 2092535216 2138376838 2220622101 2231349744 2257622523 2292861168 2316132729 2317170888 2327321776 2354102118 2416834152 2456454384 2483276328 2510268462 2523985776 2590083912 2618236998 2632544304 2661158916 2689702524 2733796008 2774883656 2778612336 2793685869 2839483998 2913844401 2960829468 2961612342 3010163364 3040533288 3088176972 3090378096 3121744113 3138802824 3207565257 3345525053 3347024616 3400369726 3438382608 3490982664 3531153177 3548211888 3586270032 3625251228 3684681576 3724914492 3765402693 3785978664 3885125868 3927355497 3947772624 3948816456 3991738374 4013551152 4117569296 4162325484 4276753676 4441244202 4442418513 4509185941 4515245046 4632265458 4634341776 4708204236 4833668304 4966552656 5020536924 5100554589 5180167824 5236473996 5322317832 5379405048 5467592016 5549767312 5587371738 5678967996 5827688802 5921658936 5923224684 5987607561 6020326728 6081066576 6176353944 6243488226 6277605648 6415130514 6661866303 6691050106 6694049232 6800739452 6948398187 6981965328 7062306354 7250502456 7369363152 7449828984 7530805386 7571957328 7770251736 7854710994 7897632912 7977790511 7983476748 8324650968 8553507352 8741533203 8882488404 8884837026 9018371882 9030490092 9264530916 9365232339 9416408472 9622695771 10036575159 10041073848 10201109178 10472947992 10593459531 10644635664 10758810096 11174743476 11357935992 11655377604 11782066491 11843317872 11846449368 11975215122 12040653456 12352707888 12486976452 12830261028 13323732606 13382100212 13527557823 13601478904 13896796374 14124612708 14501004912 14899657968 15061610772 15301663767 15540503472 15709421988 15955581022 15966953496 16649301936 17107014704 17483066406 17764976808 17769674052 18036743764 18060980184 18529061832 18730464678 18832816944 19245391542 20073150318 20082147696 20402218356 20845194561 20945895984 21186919062 22349486952 22715871984 23310755208 23564132982 23692898736 23933371533 23950430244 24973952904 25660522056 26647465212 26764200424 27055115646 27202957808 27793592748 28095697017 28249225416 28868087313 30109725477 30123221544 30603327534 31418843976 31911162044 31933906992 34966132812 35529953616 35539348104 36073487528 36121960368 37058123664 37460929356 38490783084 40146300636 40582673469 40804436712 41690389122 42373838124 44698973904 45904991301 46621510416 47128265964 47866743066 47900860488 49947905808 51321044112 53294930424 53528400848 54110231292 55587185496 56191394034 56498450832 57736174626 60219450954 60246443088 61206655068 62837687952 63822324088 69932265624 71078696208 71800114599 72146975056 74921858712 76981566168 80292601272 81165346938 81608873424 83380778244 84747676248 86604261939 90329176431 91809982602 94256531928 95733486132 95801720976 103711276643 106589860848 108220462584 111174370992 112382788068 115472349252 120438901908 121748020407 122413310136 127644648176 137714973903 139864531248 143600229198 149843717424 153963132336 160585202544 162330693876 166761556488 169495352496 173208523878 180658352862 183619965204 188513063856 191466972264 207422553286 215400343797 216440925168 224765576136 230944698504 240877803816 243496040814 244826620272 270987529293 275429947806 287200458396 311133829929 324661387752 333523112976 346417047756 361316705724 365244061221 367239930408 382933944528 414845106572 430800687594 449531152272 461889397008 481755607632 486992081628 541975058586 550859895612 574400916792 622267659858 646201031391 649322775504 692834095512 722633411448 730488122442 734479860816 829690213144 861601375188 933401489787 973984163256 1083950117172 1101719791224 1148801833584 1244535319716 1292402062782 1385668191024 1445266822896 1460976244884 1659380426288 1723202750376 1866802979574 1947968326512 2167900234344 2203439582448 2489070639432 2584804125564 2800204469361 2921952489768 3446405500752 3733605959148 4335800468688 4978141278864 5169608251128 5600408938722 5843904979536 7467211918296 8400613408083 10339216502256 11200817877444 14934423836592 16801226816166 22401635754888 33602453632332 44803271509776 67204907264664 134409814529328
- Sum of all divisors σ(n): 463978660777632
- Sum of proper divisors (its aliquot sum) s(n): 329568846248304
- 134409814529328 is an abundant number, because the sum of its proper divisors (329568846248304) is greater than itself. Its abundance is 195159031718976
Bases of 134409814529328
- Binary: 111101000111110101110010011111111010101001100002
- Hexadecimal: 0x7A3EB93FD530
- Base-36: 1BN70L7N00
Squares and roots of 134409814529328
- 134409814529328 squared (1344098145293282) is 18065998241808352330172131584
- 134409814529328 cubed (1344098145293283) is 2428247472968626377684834316414319443095552
-
The
square root of 134409814529328 is 11593524.6810160369 -
The
cube root of 134409814529328 is 51224.4134225011
Scales and comparisons
How big is 134409814529328?- 134,409,814,529,328 seconds is equal to 4,273,816 years, 17 weeks, 6 days, 15 hours, 28 minutes, 48 seconds.
-
To count from 1 to 134,409,814,529,328 would take you about ten million, six hundred eighty-four thousand, five hundred forty 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 134409814529328 cubic inches would be around 4268.7 feet tall.
Recreational maths with 134409814529328
- 134409814529328 backwards is 823925418904431
- The number of decimal digits it has is: 15
- The sum of 134409814529328's digits is 63
- More coming soon!
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"Number 134409814529328 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 134409814529328 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/134409814529328/
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The information we have on file for 134409814529328 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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