106972692868094400
106,972,692,868,094,400 is an even composite number composed of seven prime numbers multiplied together.
106972692868094400 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 106972692868094400:
26 × 33 × 52 × 83 × 181 × 1033 × 159563
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 83 × 181 × 1033 × 159563)See below for interesting mathematical facts about the number 106972692868094400 from the Numbermatics database.
Names of 106972692868094400
- Cardinal: 106972692868094400 can be written as One hundred six quadrillion, nine hundred seventy-two trillion, six hundred ninety-two billion, eight hundred sixty-eight million, ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.069726928680944 × 1017
Factors of 106972692868094400
Divisors of 106972692868094400
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 83 90 96 100 108 120 135 144 150 160 166 180 181 192 200 216 225 240 249 270 288 300 320 332 360 362 400 415 432 450 480 498 540 543 576 600 664 675 720 724 747 800 830 864 900 905 960 996 1033 1080 1086 1200 1245 1328 1350 1440 1448 1494 1600 1629 1660 1728 1800 1810 1992 2066 2075 2160 2172 2241 2400 2490 2656 2700 2715 2880 2896 2988 3099 3258 3320 3600 3620 3735 3984 4132 4150 4320 4344 4482 4525 4800 4887 4980 5165 5312 5400 5430 5792 5976 6198 6225 6516 6640 7200 7240 7470 7968 8145 8264 8300 8640 8688 8964 9050 9297 9774 9960 10330 10800 10860 11205 11584 11952 12396 12450 13032 13280 13575 14400 14480 14940 15023 15495 15936 16290 16528 16600 17376 17928 18100 18594 18675 19548 19920 20660 21600 21720 22410 23904 24435 24792 24900 25825 26064 26560 27150 27891 28960 29880 30046 30990 32580 33056 33200 34752 35856 36200 37188 37350 39096 39840 40725 41320 43200 43440 44820 45069 46485 47808 48870 49584 49800 51650 52128 54300 55782 56025 57920 59760 60092 61980 65160 66112 66400 71712 72400 74376 74700 75115 77475 78192 79680 81450 82640 85739 86880 89640 90138 92970 97740 99168 99600 103300 104256 108600 111564 112050 119520 120184 122175 123960 130320 132800 135207 139455 143424 144800 148752 149400 150230 154950 156384 159563 162900 165280 171478 173760 179280 180276 185940 186973 195480 198336 199200 206600 217200 223128 224100 225345 232425 239040 240368 244350 247920 257217 260640 270414 278910 289600 297504 298800 300460 309900 312768 319126 325800 330560 342956 358560 360552 371880 373946 375575 390960 398400 405621 413200 428695 434400 446256 448200 450690 464850 478689 480736 488700 495840 514434 521280 540828 557820 560919 595008 597600 600920 619800 638252 651600 676035 685912 697275 717120 721104 743760 747892 751150 771651 781920 797815 811242 826400 857390 868800 892512 896400 901380 929700 934865 957378 961472 977400 991680 1028868 1081656 1115640 1121838 1126725 1195200 1201840 1239600 1276504 1286085 1303200 1352070 1371824 1394550 1436067 1442208 1487520 1495784 1502300 1543302 1563840 1595630 1622484 1652800 1682757 1714780 1785024 1792800 1802760 1859400 1869730 1914756 1954800 2028105 2057736 2143475 2163312 2231280 2243676 2253450 2314953 2393445 2403680 2479200 2553008 2572170 2606400 2704140 2743648 2789100 2804595 2872134 2884416 2975040 2991568 3004600 3086604 3191260 3244968 3365514 3380175 3429560 3585600 3605520 3718800 3739460 3829512 3858255 3909600 3989075 4056210 4115472 4286950 4308201 4326624 4462560 4487352 4506900 4629906 4674325 4786890 4807360 4958400 5048271 5106016 5144340 5408280 5487296 5578200 5609190 5744268 5983136 6009200 6173208 6382520 6430425 6489936 6731028 6760350 6859120 7180335 7211040 7437600 7478920 7659024 7716510 7819200 7978150 8112420 8230944 8413785 8573900 8616402 8653248 8925120 8974704 9013800 9259812 9348650 9573780 10096542 10140525 10212032 10288680 10816560 11156400 11218380 11488536 11574765 11966272 11967225 12018400 12346416 12765040 12860850 12979872 13243729 13462056 13520700 13718240 14022975 14360670 14422080 14875200 14957840 15318048 15433020 15518759 15956300 16224840 16461888 16827570 17147800 17232804 17949408 18027600 18519624 18697300 19147560 19291275 20193084 20281050 20577360 21541005 21633120 22312800 22436760 22977072 23149530 23934450 24036800 24692832 25241355 25530080 25721700 25959744 26487458 26924112 27041400 27436480 28045950 28721340 28880903 29915680 30636096 30866040 31037518 31912600 32449680 33655140 34295600 34465608 35898816 35901675 36055200 37039248 37394600 38295120 38582550 39731187 40386168 40562100 41154720 42068925 43082010 43266240 44625600 44873520 45954144 46299060 46556277 47868900 49385664 50482710 51060160 51443400 52974916 53848224 54082800 56091900 57442680 57761806 57873825 59831360 61732080 62075036 63825200 64899360 66218645 67310280 68591200 68931216 71803350 72110400 74078496 74789200 76590240 77165100 77593795 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465562770 476774244 494485737 496600288 504827100 519856254 529749160 538482240 558675324 574426800 577618060 595967805 617320800 620750360 635698992 648993600 659314316 662186450 673102800 689312160 693141672 698344155 715161366 722022575 740784960 744900432 765902400 775937950 779784381 794623740 807723360 824142895 838012986 847598656 861640200 866427090 897470400 924188896 925981200 931125540 953548488 988971474 993200576 993279675 1009654200 1039712508 1059498320 1117350648 1148853600 1155236120 1163906925 1191935610 1234641600 1241500720 1271397984 1299640635 1318628632 1324372900 1346205600 1378624320 1386283344 1396688310 1430322732 1444045150 1483457211 1489800864 1551875900 1559568762 1589247480 1615446720 1648285790 1676025972 1723280400 1732854180 1787903415 1848377792 1851962400 1862251080 1907096976 1977942948 1986559350 2019308400 2079425016 2095032465 2118996640 2166067725 2234701296 2297707200 2310472240 2327813850 2383871220 2397114949 2472428685 2483001440 2542795968 2599281270 2637257264 2648745800 2692411200 2772566688 2793376620 2860645464 2888090300 2966914422 2979601728 2979839025 3103751800 3119137524 3178494960 3296571580 3352051944 3446560800 3465708360 3491720775 3575806830 3703924800 3724502160 3814193952 3898921905 3955885896 3973118700 4038616800 4120714475 4158850032 4190064930 4237993280 4332135450 4450371633 4469402592 4620944480 4655627700 4767742440 4794229898 4944857370 4966002880 5198562540 5274514528 5297491600 5545133376 5586753240 5721290928 5776180600 5933828844 5959678050 6207503600 6238275048 6356989920 6498203175 6593143160 6704103888 6893121600 6931416720 6983441550 7151613660 7191344847 7417286055 7449004320 7628387904 7797843810 7911771792 7946237400 8077233600 8241428950 8317700064 8380129860 8664270900 8900743266 8938805184 8939517075 9241888960 9311255400 9535484880 9588459796 9889714740 10397125080 10475162325 10549029056 10594983200 11173506480 11442581856 11552361200 11867657688 11919356100 11985574745 12362143425 12415007200 12476550096 12713979840 12996406350 13186286320 13408207776 13680772057 13862833440 13966883100 14303227320 14382689694 14834572110 14898008640 15595687620 15823543584 15892474800 16482857900 16635400128 16760259720 17328541800 17801486532 17879034150 18622510800 19070969760 19176919592 19494609525 19779429480 20794250160 20950324650 21189966400 21574034541 22251858165 22347012960 22885163712 23104722400 23735315376 23838712200 23971149490 24724286850 24830014400 24953100192 25992812700 26372572640 26816415552 27361544114 27725666880 27933766200 28606454640 28765379388 29669144220 29833972799 31191375240 31647087168 31784949600 32965715800 33520519440 34657083600 35602973064 35758068300 35956724235 37086430275 37245021600 38141939520 38353839184 38989219050 39558858960 41042316171 41588500320 41900649300 43148069082 44503716330 44694025920 46209444800 47470630752 47677424400 47942298980 49448573700 49906200384 51985625400 52745145280 54723088228 55867532400 57212909280 57530758776 59338288440 59667945598 59927873725 62382750480 63569899200 64722103623 65931431600 67041038880 68403860285 69314167200 71205946128 71516136600 71913448470 74172860550 74490043200 76707678368 77978438100 79117717920 82084632342 83177000640 83801298600 86296138164 89007432660 89501918397 94941261504 95354848800 95884597960 98897147400 103971250800 107870172705 109446176456 111259290825 111735064800 114425818560 115061517552 118676576880 119335891196 119855747450 123126948513 124765500960 129444207246 131862863200 134082077760 136807720570 138628334400 142411892256 143032273200 143826896940 148345721100 149169863995 153415356736 155956876200 158235435840 164169264684 167602597200 172592276328 178014865320 179003836794 179783621175 190709697600 191769195920 197794294800 205211580855 207942501600 215740345410 218892352912 222518581650 223470129600 230123035104 237353153760 238671782392 239711494900 246253897026 249531001920 258888414492 263725726400 268505755191 273615441140 284823784512 286064546400 287653793880 296691442200 298339727990 311913752400 323610518115 328338529368 335205194400 342019301425 345184552656 356029730640 358007673588 359567242350 369380845539 383538391840 395588589600 410423161710 415885003200 431480690820 437784705824 445037163300 447509591985 460246070208 474706307520 477343564784 479422989800 492507794052 517776828984 537011510382 539350863525 547230882280 572129092800 575307587760 593382884400 596679455980 615634742565 623827504800 647221036230 656677058736 670410388800 684038602850 690369105312 712059461280 716015347176 719134484700 738761691078 745849319975 767076783680 791177179200 805517265573 820846323420 862961381640 875569411648 890074326600 895019183970 954687129568 958845979600 985015588104 1026057904275 1035553657968 1074023020764 1078701727050 1094461764560 1150615175520 1186765768800 1193358911960 1231269485130 1247655009600 1294442072460 1313354117472 1342528775955 1368077205700 1380738210624 1424118922560 1432030694352 1438268969400 1477523382156 1491698639950 1611034531146 1618052590575 1641692646840 1725922763280 1780148653200 1790038367940 1846904227695 1909374259136 1917691959200 1970031176208 2052115808550 2071107315936 2148046041528 2157403454100 2188923529120 2237547959925 2301230351040 2373531537600 2386717823920 2462538970260 2476219742317 2588884144920 2626708234944 2685057551910 2736154411400 2864061388704 2876537938800 2955046764312 2983397279900 3078173712825 3222069062292 3236105181150 3283385293680 3451845526560 3560297306400 3580076735880 3693808455390 3835383918400 3940062352416 4027586327865 4104231617100 4142214631872 4296092083056 4314806908200 4377847058240 4475095919850 4773435647840 4925077940520 4952439484634 5177768289840 5370115103820 5472308822800 5728122777408 5753075877600 5910093528624 5966794559800 6156347425650 6444138124584 6472210362300 6566770587360 6712643879775 6903691053120 7120594612800 7160153471760 7387616910780 7428659226951 7880124704832 8055172655730 8208463234200 8592184166112 8629613816400 8950191839700 9234521138475 9546871295680 9850155881040 9904878969268 10355536579680 10740230207640 10944617645600 11506151755200 11820187057248 11933589119600 12312694851300 12381098711585 12888276249168 12944420724600 13133541174720 13425287759550 14320306943520 14775233821560 14857318453902 16110345311460 16416926468400 17184368332224 17259227632800 17900383679400 18469042276950 19700311762080 19809757938536 20137931639325 20711073159360 21480460415280 21889235291200 22285977680853 23640374114496 23867178239200 24625389702600 24762197423170 25776552498336 25888841449200 26850575519100 28640613887040 29550467643120 29714636907804 32220690622920 32833852936800 34518455265600 35800767358800 36938084553900 37143296134755 39400623524160 39619515877072 40275863278650 42960920830560 44571955361706 47734356478400 49250779405200 49524394846340 51553104996672 51777682898400 53701151038200 59100935286240 59429273815608 61905493557925 64441381245840 65667705873600 66857933042559 71601534717600 73876169107800 74286592269510 79239031754144 80551726557300 85921841661120 89143910723412 98501558810400 99048789692680 103555365796800 107402302076400 111429888404265 118201870572480 118858547631216 123810987115850 128882762491680 133715866085118 143203069435200 147752338215600 148573184539020 158478063508288 161103453114600 178287821446824 185716480673775 197003117620800 198097579385360 214804604152800 222859776808530 237717095262432 247621974231700 257765524983360 267431732170236 295504676431200 297146369078040 322206906229200 334289665212795 356575642893648 371432961347550 396195158770720 429609208305600 445719553617060 475434190524864 495243948463400 534863464340472 557149442021325 591009352862400 594292738156080 644413812458400 668579330425590 713151285787296 742865922695100 792390317541440 891439107234120 990487896926800 1069726928680944 1114298884042650 1188585476312160 1288827624916800 1337158660851180 1426302571574592 1485731845390200 1671448326063975 1782878214468240 1980975793853600 2139453857361888 2228597768085300 2377170952624320 2674317321702360 2971463690780400 3342896652127950 3565756428936480 3961951587707200 4278907714723776 4457195536170600 5348634643404720 5942927381560800 6685793304255900 7131512857872960 8914391072341200 10697269286809440 11885854763121600 13371586608511800 17828782144682400 21394538573618880 26743173217023600 35657564289364800 53486346434047200 106972692868094400
- Sum of all divisors σ(n): 397220390232906240
- Sum of proper divisors (its aliquot sum) s(n): 290247697364811840
- 106972692868094400 is an abundant number, because the sum of its proper divisors (290247697364811840) is greater than itself. Its abundance is 183275004496717440
Bases of 106972692868094400
- Binary: 1011111000000101100011000111011110001000111011001110000002
- Hexadecimal: 0x17C0B18EF11D9C0
- Base-36: T9ANKOKKXC0
Squares and roots of 106972692868094400
- 106972692868094400 squared (1069726928680944002) is 11443157019451654509837487311360000
- 106972692868094400 cubed (1069726928680944003) is 1224105321283180373677928850936689026182672384000000
-
The
square root of 106972692868094400 is 327066801.8434374821 -
The
cube root of 106972692868094400 is 474705.5502791713
Scales and comparisons
How big is 106972692868094400?- 106,972,692,868,094,400 seconds is equal to 3,401,400,744 years, 48 weeks, 6 days, 12 hours.
-
To count from 1 to 106,972,692,868,094,400 would take you about ten billion, two hundred four million, two hundred two thousand, two hundred thirty-four 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 106972692868094400 cubic inches would be around 39558.8 feet tall.
Recreational maths with 106972692868094400
- 106972692868094400 backwards is 004490868296279601
- The number of decimal digits it has is: 18
- The sum of 106972692868094400's digits is 81
- More coming soon!
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"Number 106972692868094400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 106972692868094400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/106972692868094400/
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The information we have on file for 106972692868094400 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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