13678038970567920
13,678,038,970,567,920 is an even composite number composed of six prime numbers multiplied together.
13678038970567920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 13678038970567920:
24 × 33 × 5 × 134 × 29 × 1973
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 13 × 29 × 197 × 197 × 197)See below for interesting mathematical facts about the number 13678038970567920 from the Numbermatics database.
Names of 13678038970567920
- Cardinal: 13678038970567920 can be written as Thirteen quadrillion, six hundred seventy-eight trillion, thirty-eight billion, nine hundred seventy million, five hundred sixty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.367803897056792 × 1016
Factors of 13678038970567920
Divisors of 13678038970567920
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 29 30 36 39 40 45 48 52 54 58 60 65 72 78 80 87 90 104 108 116 117 120 130 135 144 145 156 169 174 180 195 197 208 216 232 234 240 260 261 270 290 312 338 348 351 360 377 390 394 432 435 464 468 507 520 522 540 580 585 591 624 676 696 702 720 754 780 783 788 845 870 936 985 1014 1040 1044 1080 1131 1160 1170 1182 1305 1352 1392 1404 1508 1521 1560 1566 1576 1690 1740 1755 1773 1872 1885 1970 2028 2088 2160 2197 2262 2320 2340 2364 2535 2561 2610 2704 2808 2955 3016 3042 3120 3132 3152 3380 3393 3480 3510 3546 3770 3915 3940 4056 4176 4394 4524 4563 4680 4728 4901 5070 5122 5220 5319 5616 5655 5713 5910 6032 6084 6264 6591 6760 6786 6960 7020 7092 7540 7605 7683 7830 7880 8112 8788 8865 9048 9126 9360 9456 9802 10140 10179 10244 10440 10638 10985 11310 11426 11820 12168 12528 12805 13182 13520 13572 14040 14184 14703 15080 15210 15366 15660 15760 16965 17139 17576 17730 18096 18252 19604 19773 20280 20358 20488 20880 21276 21970 22620 22815 22852 23049 23640 24336 24505 25610 26364 26595 27144 28080 28368 28561 28565 29406 30160 30420 30732 31320 32955 33293 33930 34278 35152 35460 36504 38415 38809 39208 39546 40560 40716 40976 42552 43940 44109 45240 45630 45704 46098 47280 49010 50895 51220 51417 52728 53190 54288 57122 57130 58812 59319 60840 61464 62640 63713 65910 66586 67860 68556 69147 70920 73008 73515 74269 76830 77618 78416 79092 81432 85104 85683 85695 87880 88218 90480 91260 91408 92196 98020 98865 99879 101790 102440 102834 105456 106380 114244 114260 115245 116427 117624 118638 121680 122928 127426 131820 132327 133172 135720 137112 138294 141840 142805 147030 148538 153660 154251 155236 158184 162864 166465 171366 171390 175760 176436 182520 184392 191139 194045 196040 197730 199758 203580 204880 205668 212760 220545 222807 228488 228520 230490 232854 235248 237276 254852 257049 257085 263640 264654 266344 271440 274224 276588 285610 294060 296595 297076 299637 307320 308502 310472 316368 318565 332930 342732 342780 345735 349281 352872 365040 368784 371345 382278 388090 392080 395460 399516 407160 411336 425520 428415 432809 441090 445614 456976 457040 460980 465708 474552 499395 504517 509704 514098 514170 527280 529308 532688 553176 571220 573417 582135 588120 593190 594152 599274 614640 617004 620944 637130 661635 665860 668421 685464 685560 691470 698562 705744 742690 764556 771147 771255 776180 790920 799032 814320 822672 828269 856830 865618 882180 891228 898911 921960 931416 949104 955695 965497 998790 1009034 1019408 1028196 1028340 1047843 1058616 1106352 1114035 1125461 1142440 1146834 1164270 1176240 1186380 1188304 1198548 1234008 1274260 1285245 1298427 1323270 1331720 1336842 1370928 1371120 1382940 1397124 1485380 1498185 1513551 1529112 1542294 1542510 1552360 1581840 1598064 1656538 1713660 1720251 1731236 1746405 1764360 1782456 1797822 1843920 1862832 1911390 1930994 1997580 2005263 2018068 2056392 2056680 2095686 2117232 2164045 2228070 2250922 2284880 2293668 2328540 2372760 2397096 2468016 2484807 2522585 2548520 2570490 2596854 2646540 2663440 2673684 2765880 2794248 2867085 2896491 2970760 2996370 3027102 3058224 3084588 3085020 3104720 3313076 3342105 3376383 3427320 3440502 3462472 3492810 3528720 3564912 3595644 3822780 3855735 3861988 3895281 3995160 4010526 4036136 4112784 4113360 4141345 4191372 4328090 4456140 4494555 4501844 4540653 4587336 4657080 4745520 4794192 4827485 4969614 5045170 5097040 5140980 5193708 5239215 5293080 5347368 5531760 5588496 5626517 5627305 5734170 5792982 5941520 5992740 6054204 6169176 6170040 6492135 6558721 6626152 6684210 6752766 6854640 6881004 6924944 6985620 7191288 7454421 7567755 7645373 7645560 7711470 7723976 7790562 7990320 8021052 8072272 8282690 8382744 8601255 8656180 8689473 8912280 8989110 9003688 9081306 9174672 9314160 9654970 9939228 10026315 10090340 10129149 10281960 10387416 10478430 10586160 10694736 11253034 11254610 11468340 11585964 11685843 11985480 12108408 12338352 12340080 12424035 12551461 12984270 13117442 13252304 13368420 13505532 13621959 13762008 13971240 14382576 14482455 14630993 14908842 15135510 15290746 15291120 15422940 15447952 15581124 16042104 16565380 16765488 16879551 16881915 17202510 17312360 17378946 17824560 17978220 18007376 18162612 19309940 19476405 19676163 19878456 20052630 20180680 20258298 20563920 20774832 20956860 22363263 22506068 22509220 22703265 22936119 22936680 23171928 23371686 23970960 24216816 24848070 25102922 25968540 26068419 26234884 26736840 27011064 27243918 27524016 27942480 28132585 28964910 29261986 29817684 30271020 30387447 30581492 30845880 31162248 32084208 32793605 33130760 33759102 33763830 34405020 34624720 34757892 35956440 36325224 37272105 37654383 38226865 38619880 38952810 39352326 39756912 40105260 40361360 40516596 41913720 43447365 43892979 44726526 45012136 45018440 45406530 45872238 45873360 46343856 46743372 49696140 50205844 50638653 50645745 51937080 52136838 52469768 53473680 54022128 54487836 56265170 57929820 58429215 58523972 59028489 59635368 60542040 60774894 61162984 61691760 62324496 62757305 65587210 66261520 67518204 67527660 68109795 68808357 68810040 69515784 71912880 72650448 73154965 74544210 75308766 76453730 77239760 77905620 78704652 80210520 81033192 83827440 84397755 85263373 86894730 87785958 89453052 90024272 90036880 90813060 91744476 93486744 98380815 99389849 99392280 100411688 101277306 101291490 103874160 104273676 104939536 108975672 111816315 112530340 112963149 114680595 115859640 116858430 117047944 118056978 119270736 121084080 121549788 122325968 125514610 130342095 131174420 131678937 135036408 135055320 136219590 137616714 137620080 139031568 146309930 149088420 150617532 151915959 151937235 152907460 155811240 157409304 160421040 162066384 163168993 168795510 170526746 173789460 175571916 177085467 178906104 181626120 183488952 186973488 188271915 190202909 196761630 198779698 198784560 200823376 202554612 202582980 206425071 208547352 217951344 219464895 221715817 223632630 225060680 225926298 229361190 231719280 233716860 234095888 236113956 243099576 251029220 253193265 255790119 260684190 262348840 263357874 270072816 270110640 272439180 275233428 292619860 295142445 298169547 298176840 301235064 303831918 303874470 305814920 311622480 314818608 326337986 337591020 338889447 341053492 344041785 347578920 351143832 354170934 357812208 363252240 366977904 376543830 380405818 393523260 395036811 397559396 405109224 405165960 412850142 417094704 426316865 438929790 443431634 447265260 450121360 451852596 458722380 467433720 472227912 486199152 489506979 496949245 502058440 506386530 511580238 521368380 524697680 526715748 544878360 550466856 564815745 570608727 585239720 590284890 596339094 596353680 602470128 607663836 607748940 611629840 652675972 658394685 665147451 675182040 677778894 682106984 688083570 695157840 702287664 708341868 753087660 759579795 760811636 767370357 787046520 790073622 795118792 810218448 810331920 815844965 825700284 852633730 877859580 885427335 886863268 894508641 894530520 903705192 917444760 934867440 944455824 951014545 979013958 993898490 1004116880 1012773060 1023160476 1032125355 1042736760 1053431496 1089756720 1100933712 1108423849 1108579085 1129631490 1141217454 1170479440 1180569780 1192678188 1215327672 1215497880 1278950595 1292068037 1305351944 1316789370 1330294902 1350364080 1355557788 1364213968 1376167140 1416683736 1468520937 1490847735 1506175320 1519159590 1521623272 1534740714 1574093040 1580147244 1590237584 1631689930 1651400568 1694447235 1705267460 1711826181 1755719160 1770854670 1773726536 1789017282 1789061040 1807410384 1834889520 1902029090 1958027916 1975184055 1987796980 1995442353 2025546120 2046320952 2064250710 2085473520 2106862992 2216847698 2217158170 2259262980 2282434908 2302111071 2361139560 2385356376 2430655344 2430995760 2447534895 2472637817 2557901190 2584136074 2610703888 2633578740 2660589804 2683525923 2711115576 2752334280 2833367472 2853043635 2882305621 2937041874 2981695470 3012350640 3038319180 3043246544 3069481428 3160294488 3263379860 3302801136 3325271547 3325737255 3388894470 3410534920 3423652362 3511438320 3541709340 3547453072 3578034564 3804058180 3836851785 3876204111 3916055832 3950368110 3975593960 3990884706 4051092240 4092641904 4128501420 4405562811 4433695396 4434316340 4472543205 4518525960 4564869816 4604222142 4722279120 4770712752 4895069790 4945275634 5115802380 5135478543 5168272148 5267157480 5321179608 5367051846 5422231152 5504668560 5542119245 5706087270 5764611242 5874083748 5963390940 5986327059 6076638360 6138962856 6320588976 6460340185 6526759720 6650543094 6651474510 6777788940 6821069840 6847304724 7083418680 7156069128 7342604685 7417913451 7608116360 7673703570 7752408222 7832111664 7900736220 7951187920 7981769412 8257002840 8559130905 8646916863 8811125622 8867390792 8868632680 8945086410 9037051920 9129739632 9208444284 9790139580 9890551268 9975814641 9977211765 10231604760 10270957086 10336544296 10534314960 10642359216 10734103692 11084238490 11412174540 11510555355 11529222484 11628612333 11748167496 11926781880 11972654118 12153276720 12277925712 12363189085 12920680370 13053519440 13301086188 13302949020 13417629615 13555577880 13694609448 14166837360 14312138256 14411528105 14685209370 14835826902 15216232720 15347407140 15504816444 15801472440 15963538824 16514005680 16626357735 16796884481 17118261810 17293833726 17622251244 17734781584 17737265360 17890172820 18416888568 19381020555 19580279160 19781102536 19951629282 19954423530 20463209520 20541914172 20673088592 21468207384 22027814055 22168476980 22253740353 22824349080 23021110710 23058444968 23257224666 23496334992 23853563760 23945308236 24726378170 25677392715 25841360740 25940750589 26602172376 26605898040 26835259230 27111155760 27389218896 28823056210 29370418740 29671653804 29927443923 29931635295 30694814280 31009632888 31602944880 31927077648 32144291621 33252715470 33593768962 34236523620 34587667452 34885836999 35244502488 35780345640 36833777136 37089567255 37469973073 38762041110 39160558320 39562205072 39903258564 39908847060 41083828344 42936414768 43234584315 44055628110 44336953960 44507480706 45648698160 46042221420 46116889936 46514449332 47890616472 49452756340 49879073205 50390653443 51354785430 51682721480 51881501178 53204344752 53211796080 53670518460 57646112420 58143061665 58740837480 59343307608 59854887846 59863270590 61389628560 62019265776 64288583242 66505430940 66761221059 67187537924 68473047240 69175334904 69771673998 70489004976 71560691280 74179134510 74939946146 77524082220 77822251767 79806517128 79817694120 82167656688 83984422405 86469168630 88111256220 88673907920 89014961412 92084442840 93028898664 95781232944 96432874863 98905512680 99758146410 100781306886 102709570860 103365442960 103763002356 107341036920 111268701765 112409919219 115292224840 116286123330 117481674960 118686615216 119709775692 119726541180 128577166484 129703752945 133010861880 133522442118 134375075848 136946094480 138350669808 139543347996 148358269020 149637219615 149879892292 151171960329 155048164440 155644503534 159613034256 159635388240 160721458105 167968844810 172938337260 174429184995 176222512440 178029922824 184168885680 186057797328 187349865365 192865749726 197811025360 199516292820 201562613772 205419141720 207526004712 214682073840 218359498253 222537403530 224819838438 230584449680 232572246660 239419551384 239453082360 251953267215 257154332968 259407505890 266021723760 267044884236 268750151696 279086695992 289298624589 296716538040 299274439230 299759784584 302343920658 310096328880 311289007068 321442916210 333806105295 335937689620 337229757657 345876674520 348858369990 352445024880 356059845648 374699730730 385731499452 389111258835 399032585640 403125227544 410838283440 415052009424 436718996506 445074807060 449639676876 453515880987 465144493320 478839102768 478906164720 482164374315 487109649949 503906534430 514308665936 518815011780 534089768472 558173391984 562049596095 578597249178 593433076080 598548878460 599519569168 604687841316 622578014136 642885832420 655078494759 667612210590 671875379240 674459515314 691753349040 697716739980 749399461460 755859801645 771462998904 778222517670 798065171280 806250455088 867895873767 873437993012 890149614120 899279353752 907031761974 930288986640 964328748630 974219299898 1007813068860 1011689272971 1037630023560 1068179536944 1091797491265 1124099192190 1157194498356 1197097756920 1209375682632 1245156028272 1285771664840 1310156989518 1335224421180 1343750758480 1348919030628 1395433479960 1446493122945 1461328949847 1498798922920 1511719603290 1542925997808 1556445035340 1686148788285 1735791747534 1746875986024 1780299228240 1798558707504 1814063523948 1928657497260 1948438599796 1965235484277 2015626137720 2023378545942 2075260047120 2183594982530 2248198384380 2267579404935 2314388996712 2394195513840 2418751365264 2435548249745 2571543329680 2620313979036 2670448842360 2697838061256 2790866959920 2892986245890 2922657899694 2997597845840 3023439206580 3112890070680 3275392473795 3372297576570 3471583495068 3493751972048 3628127047896 3857314994520 3896877199592 3930470968554 4031252275440 4046757091884 4339479368835 4367189965060 4383986849541 4496396768760 4535158809870 4628777993424 4871096499490 5058446364855 5240627958072 5340897684720 5395676122512 5785972491780 5845315799388 5895706452831 6046878413160 6225780141360 6332425449337 6550784947590 6744595153140 6943166990136 7256254095792 7306644749235 7714629989040 7793754399184 7860941937108 8093514183768 8678958737670 8734379930120 8767973699082 8992793537520 9070317619740 9742192998980 9826177421385 10116892729710 10481255916144 11571944983560 11690631598776 11791412905662 12093756826320 12664850898674 13101569895180 13151960548623 13489190306280 13886333980272 14613289498470 15721883874216 16187028367536 17357917475340 17468759860240 17535947398164 18140635239480 18997276348011 19484385997960 19652354842770 20233785459420 21919934247705 23143889967120 23381263197552 23582825811324 25329701797348 26203139790360 26303921097246 26978380612560 29226578996940 29478532264155 31443767748432 31662127246685 34715834950680 35071894796328 36281270478960 37994552696022 38968771995920 39304709685540 40467570918840 43839868495410 47165651622648 50659403594696 52406279580720 52607842194492 56991829044033 58453157993880 58957064528310 63324254493370 65759802743115 69431669901360 70143789592656 75989105392044 78609419371080 80935141837680 87679736990820 94331303245296 94986381740055 101318807189392 105215684388984 113983658088066 116906315987760 117914129056620 126648508986740 131519605486230 151978210784088 157218838742160 170975487132099 175359473981640 189972763480110 210431368777968 227967316176132 235828258113240 253297017973480 263039210972460 284959145220165 303956421568176 341950974264198 350718947963280 379945526960220 455934632352264 471656516226480 506594035946960 526078421944920 569918290440330 683901948528396 759891053920440 854877435660495 911869264704528 1052156843889840 1139836580880660 1367803897056792 1519782107840880 1709754871320990 2279673161761320 2735607794113584 3419509742641980 4559346323522640 6839019485283960 13678038970567920
- Sum of all divisors σ(n): 53068568032656000
- Sum of proper divisors (its aliquot sum) s(n): 39390529062088080
- 13678038970567920 is an abundant number, because the sum of its proper divisors (39390529062088080) is greater than itself. Its abundance is 25712490091520160
Bases of 13678038970567920
- Binary: 1100001001100000011010100111100001000010001100111100002
- Hexadecimal: 0x30981A9E108CF0
- Base-36: 3QOGKCUKPO0
Squares and roots of 13678038970567920
- 13678038970567920 squared (136780389705679202) is 187088750080374724684007333126400
- 13678038970567920 cubed (136780389705679203) is 2559007214554207559376519651911212580437145088000
-
The
square root of 13678038970567920 is 116953148.6133140411 -
The
cube root of 13678038970567920 is 239152.3276901221
Scales and comparisons
How big is 13678038970567920?- 13,678,038,970,567,920 seconds is equal to 434,919,330 years, 16 weeks, 1 day, 10 hours, 12 minutes.
-
To count from 1 to 13,678,038,970,567,920 would take you about one billion, three hundred four million, seven hundred fifty-seven thousand, nine hundred ninety 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 13678038970567920 cubic inches would be around 19929.4 feet tall.
Recreational maths with 13678038970567920
- 13678038970567920 backwards is 02976507983087631
- The number of decimal digits it has is: 17
- The sum of 13678038970567920's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13678038970567920 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 13678038970567920 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13678038970567920/
Chicago style:
Numbermatics. 2024. "Number 13678038970567920 - Facts about the integer". https://numbermatics.com/n/13678038970567920/
The information we have on file for 13678038970567920 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 13678038970567920, math, Factors of 13678038970567920, curriculum, school, college, exams, university, Prime factorization of 13678038970567920, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred seventy-eight trillion, thirty-eight billion, nine hundred seventy million, five hundred sixty-seven thousand, nine hundred twenty.