38768961216960
38,768,961,216,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38768961216960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
38768961216960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 38768961216960:
26 × 33 × 5 × 13 × 312 × 193 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 31 × 31 × 193 × 1861)See below for interesting mathematical facts about the number 38768961216960 from the Numbermatics database.
Names of 38768961216960
- Cardinal: 38768961216960 can be written as Thirty-eight trillion, seven hundred sixty-eight billion, nine hundred sixty-one million, two hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.876896121696 × 1013
Factors of 38768961216960
Divisors of 38768961216960
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 64 65 72 78 80 90 93 96 104 108 117 120 124 130 135 144 155 156 160 180 186 192 193 195 208 216 234 240 248 260 270 279 288 310 312 320 351 360 372 386 390 403 416 432 465 468 480 496 520 540 558 576 579 585 620 624 702 720 744 772 780 806 832 837 864 930 936 960 961 965 992 1040 1080 1116 1158 1170 1209 1240 1248 1395 1404 1440 1488 1544 1560 1612 1674 1728 1737 1755 1860 1861 1872 1922 1930 1984 2015 2080 2160 2232 2316 2340 2418 2480 2496 2509 2790 2808 2880 2883 2895 2976 3088 3120 3224 3348 3474 3510 3627 3720 3722 3744 3844 3860 4030 4160 4185 4320 4464 4632 4680 4805 4836 4960 5018 5211 5580 5583 5616 5766 5790 5952 5983 6045 6176 6240 6448 6696 6948 7020 7254 7440 7444 7488 7527 7688 7720 8060 8370 8640 8649 8685 8928 9264 9305 9360 9610 9672 9920 10036 10422 10881 11160 11166 11232 11532 11580 11966 12090 12352 12480 12493 12545 12896 13392 13896 14040 14415 14508 14880 14888 15054 15376 15440 16120 16740 16749 17298 17370 17856 17949 18135 18528 18610 18720 19220 19344 20072 20844 21762 22320 22332 22464 22581 23064 23160 23932 24180 24193 24986 25090 25792 25947 26055 26784 27792 27915 28080 28830 29016 29760 29776 29915 30108 30752 30880 32240 33480 33498 34596 34740 35898 36270 37056 37220 37440 37479 37635 38440 38688 40144 41688 43245 43524 44640 44664 45162 46128 46320 47864 48360 48386 49972 50180 50247 51894 52110 53568 53847 54405 55584 55830 56160 57660 57691 58032 59552 59830 60216 61504 61760 62465 64480 66960 66996 67743 69192 69480 71796 72540 72579 74440 74958 75270 76880 77376 77779 80288 83376 83745 86490 87048 89280 89328 89745 90324 92256 92640 95728 96720 96772 99944 100360 100494 103788 104220 107694 108810 111168 111660 112320 112437 112905 115320 115382 116064 119104 119660 120432 120965 124930 128960 129735 133920 133992 135486 138384 138960 143592 145080 145158 148880 149916 150540 153760 155558 160576 161541 166752 167490 172980 173073 174096 178656 179490 180648 184512 185280 185473 187395 191456 193440 193544 199888 200720 200988 207576 208440 215388 217620 217737 223320 224874 225810 230640 230764 232128 233337 239320 240864 241930 249860 251235 259470 267840 267984 269235 270972 276768 277920 287184 288455 290160 290316 297760 299832 301080 307520 311116 323082 333504 334980 337311 338715 345960 346146 348192 357312 358980 359173 361296 362895 370946 374790 382912 386880 387088 388895 399776 401440 401976 415152 416880 430776 435240 435474 446640 449748 451620 461280 461528 466674 478640 481728 483860 499720 502470 518940 519219 535968 538470 541944 553536 555840 556419 562185 574368 576910 580320 580632 595520 599664 602160 622232 646164 653211 669960 674622 677430 691920 692292 696384 700011 717960 718346 722592 725790 741892 749580 749983 774176 777790 799552 802880 803952 807705 830304 833760 861552 865365 870480 870948 893280 899496 903240 922560 923056 927365 933348 957280 967720 999440 1004940 1037880 1038438 1071936 1076940 1077519 1083888 1088685 1112838 1124370 1148736 1153820 1160640 1161264 1166685 1199328 1204320 1244464 1292328 1306422 1339920 1349244 1354860 1383840 1384584 1400022 1435920 1436692 1445184 1451580 1483784 1499160 1499966 1548352 1555580 1557657 1607904 1615410 1660608 1667520 1669257 1686555 1723104 1730730 1740960 1741896 1786560 1788421 1795865 1798992 1806480 1846112 1854730 1866696 1914560 1935440 1998880 2009880 2075760 2076876 2100033 2153880 2155038 2167776 2177370 2225676 2248740 2249949 2307640 2322528 2333370 2398656 2408640 2411149 2488928 2584656 2596095 2612844 2679840 2698488 2709720 2767680 2769168 2782095 2800044 2871840 2873384 2903160 2967568 2998320 2999932 3111160 3115314 3215808 3230820 3232557 3266055 3338514 3373110 3446208 3461460 3481920 3483792 3500055 3576842 3591730 3597984 3612960 3692224 3709460 3733392 3749915 3870880 3997760 4019760 4151520 4153752 4200066 4307760 4310076 4335552 4354740 4451352 4497480 4499898 4615280 4645056 4666740 4669249 4822298 4977856 5007771 5169312 5192190 5225688 5359680 5365263 5387595 5396976 5419440 5538336 5564190 5600088 5743680 5746768 5806320 5935136 5996640 5999864 6222320 6230628 6461640 6465114 6532110 6677028 6746220 6749847 6922920 6967584 7000110 7153684 7183460 7195968 7225920 7233447 7418920 7466784 7499830 7741760 7788285 8039520 8303040 8307504 8346285 8400132 8615520 8620152 8709480 8902704 8942105 8994960 8999796 9230560 9333480 9338498 9644596 9697671 10015542 10338624 10384380 10451376 10500165 10730526 10775190 10793952 10838880 11076672 11128380 11134363 11200176 11249745 11493536 11612640 11870272 11993280 11999728 12055745 12444640 12461256 12923280 12930228 13064220 13354056 13492440 13499694 13845840 13935168 14000220 14007747 14307368 14366920 14466894 14837840 14933568 14999660 15576570 16079040 16095789 16162785 16615008 16692570 16800264 17231040 17240304 17418960 17805408 17884210 17989920 17999592 18461120 18666960 18676996 19289192 19395342 20031084 20249541 20768760 20902752 21000330 21461052 21550380 21587904 21677760 21700341 22256760 22268726 22400352 22499490 22987072 23225280 23249473 23346245 23999456 24111490 24889280 24922512 25038855 25846560 25860456 26128440 26708112 26826315 26984880 26999388 27691680 28000440 28015494 28614736 28733840 28933788 29675680 29999320 31153140 32191578 32325570 33230016 33385140 33403089 33600528 33749235 34480608 34837920 35610816 35768420 35979840 35999184 36167235 37333920 37353992 38578384 38790684 40062168 40499082 41537520 41805504 42000660 42023241 42922104 43100760 43400682 44513520 44537452 44800704 44998980 46498946 46692490 47998912 48222980 48287367 48488355 49845024 50077710 51693120 51720912 52256880 53416224 53652630 53969760 53998776 55383360 55671815 56000880 56030988 57229472 57467680 57867576 59351360 59998640 62306280 64383156 64651140 65101023 66770280 66806178 67201056 67498470 68961216 69675840 69748419 70038735 71536840 71998368 72334470 74667840 74707984 77156768 77581368 80124336 80478945 80998164 83075040 84001320 84046482 85844208 86201520 86801364 89027040 89074904 89997960 92997892 93384980 96445960 96574734 96976710 99690048 100155420 100209267 101247705 103441824 104513760 106832448 107305260 107939520 107997552 108501705 111343630 112001760 112061976 114458944 114935360 115735152 116247365 119997280 124612560 126069723 128766312 129302280 130202046 133540560 133612356 134402112 134996940 139496838 140077470 143073680 143996736 144668940 144746719 149415968 154313536 155162736 160248672 160957890 161996328 166150080 167015445 168002640 168092964 171688416 172403040 173602728 178054080 178149808 179995920 185995784 186769960 192891920 193149468 193953420 200310840 200418534 202495410 206883648 209027520 209245257 210116205 214610520 215995104 217003410 222687260 224003520 224123952 231470304 232494730 239994560 241436835 249225120 252139446 257532624 258604560 260404092 267081120 267224712 269993880 278993676 280154940 286147360 289337880 289493438 298831936 300627801 310325472 320497344 321915780 323992656 325505115 334030890 336005280 336185928 343376832 344806080 345165253 347205456 348742095 356299616 359991840 371991568 373539920 385783840 386298936 387906840 400621680 400837068 404990820 418490514 420232410 429221040 431990208 434006820 434240157 445374520 448247904 462940608 464989460 482873670 498450240 501046335 504278892 515065248 517209120 520808184 534162240 534449424 539987760 557987352 560309880 572294720 578675760 578986876 601255602 620650944 627735771 630348615 643831560 647985312 651010230 668061780 672010560 672371856 690330506 694410912 697484190 712599232 719983680 723733595 743983136 747079840 771567680 772597872 775813680 801243360 801674136 809981640 836981028 840464820 858442080 868013640 868480314 890749040 896495808 929978920 965747340 1002092670 1008557784 1030130496 1034418240 1035495759 1041616368 1046226285 1068898848 1079975520 1115974704 1120619760 1157351520 1157973752 1202511204 1255471542 1260697230 1287663120 1295970624 1302020460 1302720471 1336123560 1344743712 1380661012 1388821824 1394968380 1447467190 1487966272 1494159680 1503139005 1545195744 1551627360 1602486720 1603348272 1619963280 1673962056 1680929640 1716884160 1725826265 1736027280 1736960628 1781498080 1859957840 1931494680 2004185340 2017115568 2070991518 2083232736 2092452570 2137797696 2159951040 2171200785 2231949408 2241239520 2314703040 2315947504 2405022408 2510943084 2521394460 2575326240 2604040920 2605440942 2672247120 2689487424 2761322024 2789936760 2894934380 3006278010 3090391488 3103254720 3106487277 3138678855 3206696544 3239926560 3347924112 3361859280 3451652530 3472054560 3473921256 3562996160 3719915680 3862989360 3908161413 4008370680 4034231136 4141983036 4166465472 4184905140 4342401570 4463898816 4482479040 4487148289 4631895008 4810044816 5021886168 5042788920 5150652480 5177478795 5208081840 5210881884 5344494240 5522644048 5579873520 5789868760 6012556020 6212974554 6277357710 6413393088 6479853120 6513602355 6695848224 6723718560 6903305060 6944109120 6947842512 7439831360 7725978720 7816322826 8016741360 8068462272 8283966072 8369810280 8684803140 8974296578 9263790016 9319461831 9620089632 10043772336 10085577840 10354957590 10416163680 10421763768 10688988480 11045288096 11159747040 11579737520 12025112040 12425949108 12554715420 13027204710 13391696448 13447437120 13461444867 13806610120 13895685024 15451957440 15532436385 15632645652 16033482720 16567932144 16739620560 17369606280 17948593156 18638923662 19240179264 19540807065 20087544672 20171155680 20709915180 20832327360 20843527536 22090576192 22319494080 22435741445 23159475040 24050224080 24851898216 25109430840 26054409420 26922889734 27613220240 27791370048 31064872770 31265291304 32066965440 33135864288 33479241120 34739212560 35897186312 37277847324 39081614130 40175089344 40342311360 40384334601 41419830360 41687055072 44871482890 46318950080 46597309155 48100448160 49703796432 50218861680 52108818840 53845779468 55226440480 62129745540 62530582608 66271728576 66958482240 67307224335 69478425120 71794372624 74555694648 78163228260 80768669202 82839660720 83374110144 89742965780 93194618310 96200896320 99407592864 100437723360 104217637680 107691558936 110452880960 121153003803 124259491080 125061165216 134614448670 138956850240 143588745248 149111389296 156326456520 161537338404 165679321440 179485931560 186389236620 198815185728 200875446720 201921673005 208435275360 215383117872 242306007606 248518982160 250122330432 269228897340 287177490496 298222778592 312652913040 323074676808 331358642880 358971863120 372778473240 403843346010 416870550720 430766235744 484612015212 497037964320 538457794680 596445557184 605765019015 625305826080 646149353616 717943726240 745556946480 807686692020 861532471488 969224030424 994075928640 1076915589360 1211530038030 1250611652160 1292298707232 1435887452480 1491113892960 1615373384040 1938448060848 2153831178720 2423060076060 2584597414464 2982227785920 3230746768080 3876896121696 4307662357440 4846120152120 6461493536160 7753792243392 9692240304240 12922987072320 19384480608480 38768961216960
- Sum of all divisors σ(n): 153064209674880
- Sum of proper divisors (its aliquot sum) s(n): 114295248457920
- 38768961216960 is an abundant number, because the sum of its proper divisors (114295248457920) is greater than itself. Its abundance is 75526287240960
Bases of 38768961216960
- Binary: 10001101000010100110100010100101100001110000002
- Hexadecimal: 0x23429A2961C0
- Base-36: DQQ7QIUO0
Squares and roots of 38768961216960
- 38768961216960 squared (387689612169602) is 1503032353842148604191641600
- 38768961216960 cubed (387689612169603) is 58271003033942358881702750881796161536000
-
The
square root of 38768961216960 is 6226472.6143266703 -
The
cube root of 38768961216960 is 33845.0158276061
Scales and comparisons
How big is 38768961216960?- 38,768,961,216,960 seconds is equal to 1,232,733 years, 2 weeks, 2 days, 21 hours, 36 minutes.
-
To count from 1 to 38,768,961,216,960 would take you about three million, eighty-one thousand, eight hundred thirty-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 38768961216960 cubic inches would be around 2820.4 feet tall.
Recreational maths with 38768961216960
- 38768961216960 backwards is 06961216986783
- 38768961216960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38768961216960's digits is 72
- More coming soon!
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"Number 38768961216960 - Facts about the integer". Numbermatics.com. 2024. Web. 1 November 2024.
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Numbermatics. (2024). Number 38768961216960 - Facts about the integer. Retrieved 1 November 2024, from https://numbermatics.com/n/38768961216960/
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The information we have on file for 38768961216960 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 38768961216960, math, Factors of 38768961216960, curriculum, school, college, exams, university, Prime factorization of 38768961216960, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight trillion, seven hundred sixty-eight billion, nine hundred sixty-one million, two hundred sixteen thousand, nine hundred sixty.