230357577993600
230,357,577,993,600 is an even composite number composed of six prime numbers multiplied together.
230357577993600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 230357577993600:
27 × 3 × 52 × 293 × 61 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 29 × 61 × 127 × 127)See below for interesting mathematical facts about the number 230357577993600 from the Numbermatics database.
Names of 230357577993600
- Cardinal: 230357577993600 can be written as Two hundred thirty trillion, three hundred fifty-seven billion, five hundred seventy-seven million, nine hundred ninety-three thousand, six hundred.
Scientific notation
- Scientific notation: 2.303575779936 × 1014
Factors of 230357577993600
Divisors of 230357577993600
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 61 64 75 80 87 96 100 116 120 122 127 128 145 150 160 174 183 192 200 232 240 244 254 290 300 305 320 348 366 381 384 400 435 464 480 488 508 580 600 610 635 640 696 725 732 762 800 841 870 915 928 960 976 1016 1160 1200 1220 1270 1392 1450 1464 1524 1525 1600 1682 1740 1769 1830 1856 1905 1920 1952 2032 2175 2320 2400 2440 2523 2540 2784 2900 2928 3048 3050 3175 3200 3364 3480 3538 3660 3683 3712 3810 3904 4064 4205 4350 4575 4640 4800 4880 5046 5080 5307 5568 5800 5856 6096 6100 6350 6728 6960 7076 7320 7366 7620 7747 7808 8128 8410 8700 8845 9150 9280 9525 9600 9760 10092 10160 10614 11049 11136 11600 11712 12192 12200 12615 12700 13456 13920 14152 14640 14732 15240 15494 16129 16256 16820 17400 17690 18300 18415 18560 19050 19520 20184 20320 21025 21228 22098 23200 23241 23424 24384 24389 24400 25230 25400 26535 26912 27840 28304 29280 29464 30480 30988 32258 33640 34800 35380 36600 36830 38100 38735 39040 40368 40640 42050 42456 44196 44225 46400 46482 48387 48768 48778 48800 50460 50800 51301 53070 53824 55245 55680 56608 58560 58928 60960 61976 63075 64516 67280 69600 70760 73167 73200 73660 76200 77470 80645 80736 81280 84100 84912 88392 88450 92075 92800 92964 96774 97556 97600 100920 101600 102602 106140 106807 107648 110490 113216 116205 117120 117856 121920 121945 123952 126150 129032 132675 134560 139200 141520 146334 146400 147320 152400 153903 154940 161290 161472 168200 169824 176784 176900 184150 185928 193548 193675 195112 195200 201840 203200 205204 212280 213614 220980 224663 226432 232410 235712 241935 243840 243890 247904 252300 256505 258064 265350 269120 276225 278400 283040 292668 292800 294640 304800 307806 309880 320421 322580 322944 336400 339648 353568 353800 365835 368300 371856 387096 387350 390224 403225 403680 406400 410408 424560 427228 441960 449326 464820 467741 471424 483870 487780 495808 504600 513010 516128 530700 534035 538240 552450 566080 581025 585336 585600 589280 609600 609725 615612 619760 640842 645160 672800 673989 679296 707136 707600 731670 736600 743712 769515 774192 774700 780448 806450 807360 820816 849120 854456 883920 898652 929640 935482 967740 975560 983869 991616 1009200 1026020 1032256 1061400 1068070 1104900 1123315 1132160 1162050 1170672 1178560 1209675 1219200 1219450 1231224 1239520 1281684 1282525 1290320 1345600 1347978 1403223 1414272 1415200 1463340 1473200 1487424 1487729 1539030 1548384 1549400 1560896 1602105 1612900 1614720 1641632 1698240 1708912 1767840 1797304 1829175 1859280 1870964 1935480 1951120 1967738 2018400 2052040 2064512 2122800 2136140 2209800 2246630 2324100 2338705 2341344 2357120 2419350 2438900 2462448 2479040 2563368 2565050 2580640 2670175 2691200 2695956 2806446 2830400 2926680 2946400 2951607 2974848 2975458 3078060 3096768 3097403 3098800 3121792 3204210 3225800 3283264 3369945 3396480 3417824 3535680 3594608 3658350 3718560 3741928 3847575 3870960 3902240 3935476 4036800 4104080 4245600 4272280 4419600 4463187 4493260 4648200 4677410 4682688 4838700 4877800 4919345 4924896 4958080 5126736 5130100 5161280 5340350 5391912 5612892 5616575 5660800 5853360 5892800 5903214 5950916 6156120 6193536 6194806 6197600 6408420 6451600 6515227 6566528 6739890 6835648 7016115 7071360 7189216 7316700 7437120 7438645 7483856 7695150 7741920 7804480 7870952 8010525 8073600 8208160 8491200 8544560 8839200 8926374 8986520 9292209 9296400 9354820 9365376 9677400 9755600 9838690 9849792 10253472 10260200 10322560 10680700 10783824 11225784 11233150 11693525 11706720 11785600 11806428 11901832 12312240 12389612 12395200 12816840 12903200 13030454 13479780 13564489 13671296 14032230 14378432 14633400 14758035 14874240 14877290 14967712 15390300 15483840 15487015 15608960 15741904 16021050 16416320 16849725 16982400 17089120 17678400 17852748 17973040 18584418 18592800 18709640 19354800 19511200 19545681 19677380 19699584 20506944 20520400 21361400 21567648 22315935 22451568 22466300 23387050 23413440 23612856 23803664 24596725 24624480 24779224 24790400 25633680 25806400 26060908 26959560 27128978 28064460 28532201 28756864 29266800 29516070 29754580 29935424 30780600 30967680 30974030 31483808 32042100 32576135 32832640 33699450 34178240 35080575 35356800 35705496 35946080 37168836 37185600 37193225 37419280 38709600 39022400 39091362 39354760 40693467 41013888 41040800 42722800 43135296 44631870 44903136 44932600 46461045 46774100 46826880 47225712 47607328 49193450 49248960 49558448 51267360 51612800 52121816 53919120 54257956 56128920 57064402 58533600 59032140 59509160 59870848 61561200 61948060 62967616 64084200 65152270 67398900 67822445 68356480 70161150 71410992 71892160 73790175 74337672 74371200 74386450 74838560 77419200 77435075 78044800 78182724 78709520 81386934 82081600 85445600 85596603 86270592 89263740 89806272 89865200 92922090 93548200 94451424 95214656 97728405 98386900 98497920 99116896 102534720 104243632 107838240 108515912 111579675 112257840 114128804 117067200 118064280 119018320 123122400 123896120 125935232 128168400 130304540 134797800 135644890 140322300 142661005 142821984 143784320 147580350 148675344 148772900 149677120 154838400 154870150 156365448 157419040 162773868 162880675 164163200 170891200 171193206 178527480 179612544 179730400 185844180 187096400 188902848 188941583 190429312 195456810 196773800 198233792 203467335 205069440 208487264 215676480 217031824 223159350 224515680 228257608 232305225 234134400 236128560 238036640 246244800 247792240 256336800 260609080 269595600 271289780 280644600 285322010 285643968 295160700 297350688 297545800 299354240 309740300 312730896 314838080 325547736 325761350 339112225 341782400 342386412 357054960 359460800 371688360 374192800 377805696 377883166 390913620 393370181 393547600 396467584 406934670 416974528 427983015 431352960 434063648 446318700 449031360 456515216 464610450 472257120 476073280 488642025 492489600 495584480 512673600 521218160 539191200 542579560 561289200 566824749 570644020 571287936 590321400 594701376 595091600 619480600 625461792 629676160 651095472 651522700 678224450 684772824 713305025 714109920 718921600 743376720 748385600 755766332 781827240 786740362 787095200 813869340 827433829 833949056 855966030 868127296 892637400 898062720 913030432 929220900 944514240 944707915 952146560 977284050 991168960 1017336675 1025347200 1042436320 1078382400 1085159120 1122578400 1133649498 1141288040 1180110543 1180642800 1189402752 1190183200 1238961200 1250923584 1302190944 1303045400 1356448900 1369545648 1426610050 1428219840 1486753440 1496771200 1511532664 1563654480 1573480724 1574190400 1627738680 1654867658 1711932060 1736254592 1785274800 1826060864 1858441800 1889028480 1889415830 1954568100 1966850905 1982337920 2034673350 2084872640 2139915075 2156764800 2170318240 2245156800 2267298996 2282576080 2360221086 2361285600 2380366400 2477922400 2482301487 2501847168 2604381888 2606090800 2712897800 2739091296 2834123745 2853220100 2856439680 2973506880 3023065328 3127308960 3146961448 3148380800 3255477360 3309735316 3423864120 3570549600 3652121728 3716883600 3778831660 3909136200 3933701810 4069346700 4137169145 4169745280 4279830150 4340636480 4490313600 4534597992 4565152160 4720442172 4722571200 4723539575 4760732800 4955844800 4964602974 5208763776 5212181600 5425795600 5478182592 5668247490 5706440200 5900552715 5947013760 6046130656 6254617920 6293922896 6510954720 6619470632 6847728240 7141099200 7433767200 7557663320 7818272400 7867403620 8138693400 8274338290 8559660300 8681272960 9069195984 9130304320 9440884344 9445142400 9447079150 9834254525 9911689600 9929205948 10424363200 10851591200 10956365184 11336494980 11412880400 11801105430 12092261312 12411507435 12509235840 12587845792 13021909440 13238941264 13695456480 14170618725 14282198400 14867534400 15115326640 15636544800 15734807240 16277386800 16548676580 17119320600 18138391968 18260608640 18881768688 18894158300 19668509050 19858411896 20685845725 20848726400 21703182400 22672989960 22825760800 23602210860 23995581041 24184522624 24823014870 25175691584 26043818880 26477882528 27390912960 28341237450 29502763575 29735068800 30230653280 31273089600 31469614480 32554773600 33097353160 34238641200 36276783936 37763537376 37788316600 39337018100 39716823792 41371691450 43406364800 45345979920 45651521600 47204421720 47991162082 49646029740 50351383168 52955765056 54781825920 56682474900 59005527150 60461306560 62057537175 62546179200 62939228960 65109547200 66194706320 68477282400 71986743123 72553567872 75527074752 75576633200 78674036200 79433647584 82743382900 90691959840 91303043200 94408843440 95982324164 99292059480 105911530112 113364949800 118011054300 119977905205 120922613120 124115074350 125878457920 130219094400 132389412640 136954564800 143973486246 151054149504 151153266400 157348072400 158867295168 165486765800 181383919680 188817686880 191964648328 198584118960 226729899600 236022108600 239955810410 248230148700 251756915840 264778825280 273909129600 287946972492 302306532800 314696144800 317734590336 330973531600 359933715615 362767839360 377635373760 383929296656 397168237920 453459799200 472044217200 479911620820 496460297400 529557650560 575893944984 599889526025 604613065600 629392289600 661947063200 719867431230 755270747520 767858593312 794336475840 906919598400 944088434400 959823241640 992920594800 1151787889968 1199779052050 1258784579200 1323894126400 1439734862460 1535717186624 1588672951680 1799668578075 1813839196800 1888176868800 1919646483280 1985841189600 2303575779936 2399558104100 2647788252800 2879469724920 3071434373248 3599337156150 3776353737600 3839292966560 3971682379200 4607151559872 4799116208200 5758939449840 7198674312300 7678585933120 7943364758400 9214303119744 9598232416400 11517878899680 14397348624600 15357171866240 19196464832800 23035757799360 28794697249200 38392929665600 46071515598720 57589394498400 76785859331200 115178788996800 230357577993600
- Sum of all divisors σ(n): 805058254000800
- Sum of proper divisors (its aliquot sum) s(n): 574700676007200
- 230357577993600 is an abundant number, because the sum of its proper divisors (574700676007200) is greater than itself. Its abundance is 344343098013600
Bases of 230357577993600
- Binary: 1101000110000010010011011001101110001101100000002
- Hexadecimal: 0xD1824D9B8D80
- Base-36: 29NKT6A45C
Squares and roots of 230357577993600
- 230357577993600 squared (2303575779936002) is 53064613739077507001640960000
- 230357577993600 cubed (2303575779936003) is 12223835898099804939245957526384377856000000
-
The
square root of 230357577993600 is 15177535.3069462501 -
The
cube root of 230357577993600 is 61300.9918161333
Scales and comparisons
How big is 230357577993600?- 230,357,577,993,600 seconds is equal to 7,324,658 years, 22 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 230,357,577,993,600 would take you about eighteen million, three hundred eleven thousand, six hundred forty-six 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 230357577993600 cubic inches would be around 5108.4 feet tall.
Recreational maths with 230357577993600
- 230357577993600 backwards is 006399775753032
- The number of decimal digits it has is: 15
- The sum of 230357577993600's digits is 66
- More coming soon!
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The information we have on file for 230357577993600 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 230357577993600, math, Factors of 230357577993600, curriculum, school, college, exams, university, Prime factorization of 230357577993600, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty trillion, three hundred fifty-seven billion, five hundred seventy-seven million, nine hundred ninety-three thousand, six hundred.