13342970009600
13,342,970,009,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 13342970009600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13342970009600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13342970009600:
211 × 52 × 73 × 11 × 172 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 17 × 17 × 239)See below for interesting mathematical facts about the number 13342970009600 from the Numbermatics database.
Names of 13342970009600
- Cardinal: 13342970009600 can be written as Thirteen trillion, three hundred forty-two billion, nine hundred seventy million, nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.33429700096 × 1013
Factors of 13342970009600
Divisors of 13342970009600
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 49 50 55 56 64 68 70 77 80 85 88 98 100 110 112 119 128 136 140 154 160 170 175 176 187 196 200 220 224 238 239 245 256 272 275 280 289 308 320 340 343 350 352 374 385 392 400 425 440 448 476 478 490 512 539 544 550 560 578 595 616 640 680 686 700 704 748 770 784 800 833 850 880 896 935 952 956 980 1024 1078 1088 1100 1120 1156 1190 1195 1225 1232 1280 1309 1360 1372 1400 1408 1445 1496 1540 1568 1600 1666 1673 1700 1715 1760 1792 1870 1904 1912 1925 1960 2023 2048 2156 2176 2200 2240 2312 2380 2390 2450 2464 2560 2618 2629 2695 2720 2744 2800 2816 2890 2975 2992 3080 3136 3179 3200 3332 3346 3400 3430 3520 3584 3740 3773 3808 3824 3850 3920 4046 4063 4165 4312 4352 4400 4480 4624 4675 4760 4780 4900 4928 5120 5236 5258 5390 5440 5488 5600 5632 5780 5831 5950 5975 5984 6160 6272 6358 6400 6545 6664 6692 6800 6860 7040 7168 7225 7480 7546 7616 7648 7700 7840 8092 8126 8330 8365 8575 8624 8704 8800 8960 9163 9248 9350 9520 9560 9800 9856 10115 10240 10472 10516 10780 10880 10976 11200 11264 11560 11662 11711 11900 11950 11968 12320 12544 12716 12800 13090 13145 13328 13384 13475 13600 13720 14080 14161 14336 14450 14960 15092 15232 15296 15400 15680 15895 16184 16252 16660 16730 17150 17248 17408 17600 17920 18326 18403 18496 18700 18865 19040 19120 19600 19712 20230 20315 20825 20944 21032 21560 21760 21952 22253 22400 22528 23120 23324 23422 23800 23900 23936 24640 25088 25432 25600 26180 26290 26656 26768 26950 27200 27440 28160 28322 28441 28900 29155 29920 30184 30464 30592 30800 31360 31790 32368 32504 32725 33320 33460 34300 34496 34816 35200 35840 36652 36806 36992 37400 37730 38080 38240 39200 39424 40460 40630 41650 41825 41888 42064 43120 43520 43904 44506 44693 44800 45815 46240 46648 46844 47600 47800 47872 49280 50176 50575 50864 51200 52360 52580 53312 53536 53900 54400 54880 56320 56644 56882 57800 58310 58555 59840 60368 60928 61184 61600 62720 63580 64141 64736 65008 65450 65725 66640 66920 68600 68992 69071 70400 70805 71680 73304 73612 73984 74800 75460 76160 76480 78400 78848 79475 80920 81260 81977 83300 83650 83776 84128 86240 87040 87808 89012 89386 89600 91630 92015 92480 93296 93688 94325 95200 95600 95744 98560 99127 100352 101150 101575 101728 104720 105160 106624 107072 107800 108800 109760 111265 112640 113288 113764 115600 116620 117110 119680 120736 121856 122368 123200 125440 127160 128282 128821 129472 130016 130900 131450 133280 133840 137200 137984 138142 140800 141610 142205 145775 146608 147224 147968 149600 150920 152320 152960 155771 156800 157696 158950 161840 162520 163954 166600 167300 167552 168256 172480 174080 175616 178024 178772 179200 183260 184030 184960 186592 187376 188650 190400 191200 191488 197120 198254 199087 202300 203150 203456 209440 210320 213248 214144 215600 217600 219520 222530 223465 226576 227528 229075 231200 233240 234220 239360 241472 243712 244736 246400 250880 254320 256564 257642 258944 260032 261800 262900 266560 267680 274400 275968 276284 281600 283220 284410 291550 292775 293216 294448 295936 299200 301840 304640 305920 311542 312851 313600 317900 320705 323680 325040 327908 333200 334600 335104 336512 344960 345355 351232 354025 356048 357544 358400 366520 368060 369920 373184 374752 377300 380800 382400 382976 394240 396508 398174 404600 406300 406912 409885 418880 420640 426496 428288 431200 435200 439040 445060 446930 453152 455056 458150 460075 462400 466480 468440 478720 482944 483497 489472 492800 495635 501760 508640 513128 515284 517888 520064 523600 525800 533120 535360 548800 551936 552568 556325 563200 566440 568820 583100 585550 586432 588896 591872 598400 603680 609280 611840 623084 625702 627200 635800 641410 644105 647360 650080 655816 666400 669200 670208 673024 689920 690710 702464 708050 711025 712096 715088 733040 736120 739840 746368 749504 754600 759781 761600 764800 778855 788480 793016 796348 809200 812600 813824 819770 837760 841280 852992 856576 862400 870400 878080 890120 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16489088 16755200 16825600 16922395 17131520 17446352 17519656 17561600 17682176 17802400 17877200 18034940 18126080 18202240 18659200 18737600 18765824 18844672 18994525 19317760 19339880 19825400 19908700 19938688 20022464 20345600 20525120 20611360 20715520 20802560 20986112 21273868 21324800 21414400 21807940 21899570 22102720 22297744 22543675 22657600 22752800 22787072 22882816 23457280 23555840 23691353 23984128 24147200 24174850 24312992 24923360 25028080 25376512 25483136 25656400 25764200 25894400 26003200 26232640 26592335 26920960 27075832 27259925 27596800 27628400 27872180 28483840 28603520 28855904 29001728 29123584 29321600 29444800 29854720 29980160 30391240 30659398 30943808 31154200 31285100 31720640 31853920 32552960 32790800 32840192 32978176 33510400 33651200 33844790 34840225 34892704 35039312 35364352 35604800 35754400 36069880 36252160 36404480 37229269 37318400 37475200 37689344 37989050 38635520 38679760 39650800 39817400 39877376 40044928 40691200 41050240 41222720 41605120 41972224 42547736 42649600 42828800 43615880 43799140 44205440 44595488 45087350 45315200 45505600 45574144 45765632 46914560 47111680 47382706 48294400 48349700 48625984 49846720 50056160 50753024 50966272 51312800 51528400 51788800 52006400 52465280 53184670 54151664 54519850 54748925 55256800 55744360 56967680 57207040 57711808 58247168 58643200 58889600 59709440 59960320 60782480 61318796 61887616 62308400 62570200 63441280 63707840 65581600 65680384 65956352 67020800 67302400 67689580 69680450 69785408 70078624 70728704 71209600 71508800 72139760 72504320 72808960 74458538 74636800 74950400 75978100 76648495 77359520 79301600 79634800 79754752 80089856 81382400 82100480 82445440 83944448 84611975 85095472 85657600 87231760 87598280 88410880 89190976 90174700 90630400 91011200 91531264 93829120 94223360 94765412 96588800 96699400 97251968 99693440 100112320 101506048 101932544 102625600 103056800 103577600 104012800 104930560 106369340 108303328 109039700 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297834152 298547200 299801600 303912400 306593980 309438080 317206400 318539200 319019008 320359424 328401920 329781760 338447900 340381888 348927040 350393120 353643520 356763904 360698800 362521600 364044800 372292690 379061648 383242475 386797600 389007872 398773760 400449280 407730176 410502400 412227200 419722240 425477360 433213312 436158800 437991400 442054400 445954880 457656320 461694464 469145600 471116800 473827060 486259840 490550368 495100928 498467200 500561600 507530240 509662720 521209766 524652800 531846700 541516640 557443600 558283264 560628992 569676800 572070400 577118080 592283825 595668304 599603200 607824800 613187960 618876160 634412800 637078400 640718848 656803840 659563520 676895800 680763776 697854080 700786240 707287040 713527808 721397600 725043200 728089600 744585380 758123296 766484950 773595200 778015744 797547520 800898560 821004800 824454400 839444480 850954720 866426624 872317600 875982800 884108800 891909760 923388928 930731725 942233600 947654120 972519680 981100736 990201856 996934400 1001123200 1015060480 1019325440 1042419532 1049305600 1063693400 1083033280 1114887200 1116566528 1121257984 1139353600 1144140800 1154236160 1184567650 1191336608 1215649600 1226375920 1237752320 1268825600 1274156800 1303024415 1319127040 1353791600 1361527552 1395708160 1401572480 1427055616 1442795200 1456179200 1489170760 1516246592 1532969900 1547190400 1556031488 1595095040 1601797120 1642009600 1648908800 1701909440 1732853248 1744635200 1751965600 1768217600 1783819520 1846777856 1861463450 1895308240 1945039360 1962201472 1993868800 2002246400 2038650880 2084839064 2098611200 2127386800 2166066560 2229774400 2233133056 2242515968 2288281600 2308472320 2369135300 2382673216 2431299200 2452751840 2475504640 2537651200 2548313600 2606048830 2707583200 2723055104 2791416320 2803144960 2854111232 2885590400 2978341520 3032493184 3065939800 3094380800 3203594240 3284019200 3297817600 3403818880 3465706496 3489270400 3503931200 3536435200 3567639040 3722926900 3790616480 3890078720 3924402944 3987737600 4004492800 4169678128 4197222400 4254773600 4332133120 4459548800 4485031936 4616944640 4738270600 4765346432 4862598400 4905503680 4951009280 5075302400 5096627200 5212097660 5415166400 5446110208 5582832640 5606289920 5771180800 5956683040 6064986368 6131879600 6188761600 6515122075 6595635200 6807637760 6931412992 6978540800 7007862400 7135278080 7445853800 7581232960 7780157440 7848805888 7975475200 8008985600 8339356256 8509547200 8664266240 8919097600 9233889280 9476541200 9530692864 9725196800 9811007360 10193254400 10424195320 10830332800 10892220416 11165665280 11212579840 11542361600 11913366080 12129972736 12263759200 12377523200 13030244150 13615275520 13957081600 14015724800 14270556160 14891707600 15162465920 15697611776 16017971200 16678712512 17019094400 17328532480 17838195200 18953082400 19061385728 19450393600 19622014720 20848390640 21660665600 22425159680 23084723200 23826732160 24259945472 24527518400 24755046400 26060488300 27230551040 27914163200 28031449600 29783415200 30324931840 31395223552 33357425024 34038188800 34657064960 35676390400 37906164800 38122771456 38900787200 39244029440 41696781280 43321331200 46169446400 47653464320 48519890944 49055036800 52120976600 54461102080 55828326400 56062899200 59566830400 60649863680 66714850048 68076377600 71352780800 75812329600 76245542912 78488058880 83393562560 86642662400 95306928640 98110073600 104241953200 112125798400 119133660800 121299727360 133429700096 136152755200 151624659200 156976117760 166787125120 173285324800 190613857280 196220147200 208483906400 238267321600 242599454720 266859400192 272305510400 303249318400 333574250240 381227714560 392440294400 416967812800 476534643200 533718800384 606498636800 667148500480 784880588800 833935625600 953069286400 1212997273600 1334297000960 1667871251200 1906138572800 2668594001920 3335742502400 6671485004800 13342970009600
- Sum of all divisors σ(n): 44895876480000
- Sum of proper divisors (its aliquot sum) s(n): 31552906470400
- 13342970009600 is an abundant number, because the sum of its proper divisors (31552906470400) is greater than itself. Its abundance is 18209936460800
Bases of 13342970009600
- Binary: 110000100010101001101111110011011000000000002
- Hexadecimal: 0xC22A6FCD800
- Base-36: 4Q9OBU6M8
Squares and roots of 13342970009600
- 13342970009600 squared (133429700096002) is 178034848677085024092160000
- 13342970009600 cubed (133429700096003) is 2375513646562019711210984346484736000000
-
The
square root of 13342970009600 is 3652803.0346023313 -
The
cube root of 13342970009600 is 23718.3334257313
Scales and comparisons
How big is 13342970009600?- 13,342,970,009,600 seconds is equal to 424,265 years, 9 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,342,970,009,600 would take you about one million, sixty thousand, six hundred sixty-two 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 13342970009600 cubic inches would be around 1976.5 feet tall.
Recreational maths with 13342970009600
- 13342970009600 backwards is 00690007924331
- 13342970009600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13342970009600's digits is 44
- More coming soon!
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"Number 13342970009600 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 13342970009600 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13342970009600/
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The information we have on file for 13342970009600 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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