230848820672400
230,848,820,672,400 is an even composite number composed of seven prime numbers multiplied together.
230848820672400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 230848820672400:
24 × 35 × 52 × 7 × 97 × 617 × 5669
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 97 × 617 × 5669)See below for interesting mathematical facts about the number 230848820672400 from the Numbermatics database.
Names of 230848820672400
- Cardinal: 230848820672400 can be written as Two hundred thirty trillion, eight hundred forty-eight billion, eight hundred twenty million, six hundred seventy-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.308488206724 × 1014
Factors of 230848820672400
Divisors of 230848820672400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 97 100 105 108 112 120 126 135 140 144 150 162 168 175 180 189 194 200 210 216 225 240 243 252 270 280 291 300 315 324 336 350 360 378 388 400 405 420 432 450 485 486 504 525 540 560 567 582 600 617 630 648 675 679 700 720 756 776 810 840 873 900 945 970 972 1008 1050 1080 1134 1164 1200 1215 1234 1260 1296 1350 1358 1400 1455 1512 1552 1575 1620 1680 1701 1746 1800 1851 1890 1940 1944 2025 2037 2100 2160 2268 2328 2425 2430 2468 2520 2619 2700 2716 2800 2835 2910 3024 3085 3150 3240 3395 3402 3492 3600 3702 3780 3880 3888 4050 4074 4200 4319 4365 4536 4656 4725 4850 4860 4936 5040 5238 5400 5432 5553 5669 5670 5820 6075 6111 6170 6300 6480 6790 6804 6984 7275 7404 7560 7760 7857 8100 8148 8400 8505 8638 8730 9072 9255 9450 9700 9720 9872 10185 10476 10800 10864 11106 11338 11340 11640 12150 12222 12340 12600 12957 13095 13580 13608 13968 14175 14550 14808 15120 15425 15714 16200 16296 16659 16975 17007 17010 17276 17460 18333 18510 18900 19400 19440 20370 20952 21595 21825 22212 22676 22680 23280 23571 24300 24444 24680 25200 25914 26190 27160 27216 27765 28345 28350 29100 29616 30555 30850 31428 32400 32592 33318 33950 34014 34020 34552 34920 36666 37020 37800 38800 38871 39285 39683 40740 41904 42525 43190 43650 44424 45352 45360 46275 47142 48600 48888 49360 49977 50925 51021 51828 52380 54320 54999 55530 56690 56700 58200 59849 61110 61700 62856 64785 65475 66636 67900 68028 68040 69104 69840 73332 74040 75600 77742 78570 79366 81480 83295 85035 85050 86380 87300 88848 90704 91665 92550 94284 97200 97776 99954 101850 102042 103656 104760 107975 109998 111060 113380 113400 116400 116613 117855 119049 119698 122220 123400 125712 129570 130950 133272 135800 136056 136080 138825 141725 146664 148080 149931 152775 153063 155484 157140 158732 162960 164997 166590 170070 170100 172760 174600 179547 183330 185100 188568 194355 196425 198415 199908 203700 204084 207312 209520 215950 219996 222120 226760 226800 233226 235710 238098 239396 244440 246800 249885 255105 259140 261900 266544 271600 272112 274995 277650 283450 293328 299245 299862 305550 306126 310968 314280 317464 323925 329994 333180 340140 340200 345520 349200 349839 357147 359094 366660 370200 377136 388710 392850 396830 399816 407400 408168 416475 418943 425175 431900 439992 444240 453520 458325 459189 466452 471420 476196 478792 488880 499770 510210 518280 523800 538641 549893 549990 555300 566900 583065 589275 595245 598490 599724 611100 612252 621936 628560 634928 647850 659988 666360 680280 680400 699678 714294 718188 733320 740400 749655 765315 777420 785700 793660 799632 814800 816336 824985 832950 837886 850350 863800 879984 897735 916650 918378 932904 942840 952392 957584 971775 992075 999540 1020420 1036560 1047600 1049517 1071441 1077282 1099786 1099980 1110600 1133800 1166130 1178550 1190490 1196980 1199448 1222200 1224504 1249425 1256829 1275525 1295700 1319976 1332720 1360560 1374975 1377567 1399356 1428588 1436376 1466640 1496225 1499310 1530630 1554840 1571400 1587320 1615923 1649679 1649970 1665900 1675772 1700700 1727600 1749195 1785735 1795470 1833300 1836756 1865808 1885680 1904784 1943550 1984150 1999080 2040840 2094715 2099034 2142882 2154564 2199572 2199960 2221200 2267600 2295945 2332260 2357100 2380980 2393960 2398896 2444400 2449008 2498850 2513658 2551050 2591400 2639952 2693205 2749465 2749950 2755134 2798712 2857176 2872752 2915325 2976225 2992450 2998620 3061260 3109680 3142800 3174640 3214323 3231846 3299358 3299940 3331800 3351544 3401400 3497773 3498390 3571470 3590940 3666600 3673512 3748275 3770487 3826575 3849251 3887100 3968300 3998160 4081680 4124925 4189430 4198068 4285764 4309128 4399144 4399920 4488675 4591890 4664520 4714200 4761960 4787920 4847769 4949037 4997700 5027316 5102100 5182800 5247585 5357205 5386410 5498930 5499900 5510268 5597424 5714352 5830650 5952450 5984900 5997240 6122520 6284145 6428646 6463692 6598716 6599880 6663600 6703088 6802800 6887835 6995546 6996780 7142940 7181880 7333200 7347024 7496550 7540974 7653150 7698502 7774200 7936600 8079615 8248395 8249850 8378860 8396136 8571528 8618256 8745975 8798288 8928675 8977350 9183780 9329040 9428400 9523920 9642969 9695538 9898074 9995400 10054632 10204200 10473575 10493319 10495170 10714410 10772820 10997860 10999800 11020536 11311461 11479725 11547753 11661300 11904900 11969800 11994480 12245040 12568290 12857292 12927384 13197432 13199760 13466025 13747325 13775670 13991092 13993560 14285880 14363760 14543307 14847111 14993100 15081948 15306300 15397004 15548400 15873200 16071615 16159230 16496790 16499700 16757720 16792272 17143056 17488865 17491950 17857350 17954700 18367560 18852435 19246255 19285938 19391076 19796148 19990800 20109264 20408400 20947150 20986638 20990340 21428820 21545640 21995720 21999600 22041072 22622922 22959450 23095506 23322600 23809800 23939600 24238845 24484411 24745185 25136580 25714584 25854768 26237925 26394864 26786025 26932050 27494650 27551340 27982184 27987120 28571760 29086614 29694222 29986200 30163896 30612600 30794008 31420725 31479957 32143230 32318460 32993580 32999400 33515440 33934383 34439175 34643259 34977730 34983900 35714700 35909400 36735120 37704870 38492510 38571876 38782152 39592296 40398075 41241975 41894300 41973276 41980680 42857640 43091280 43991440 44541333 45245844 45918900 46191012 46645200 47619600 48214845 48477690 48968822 49490370 50273160 51429168 52466595 52475850 53572050 53864100 54989300 55102680 55964368 56557305 57738765 58173228 59388444 59972400 60327792 61225200 61588016 62841450 62959914 64286460 64636920 65987160 65998800 67868766 68878350 69286518 69955460 69967800 71429400 71818800 72716535 73453233 74235555 75409740 76985020 77143752 77564304 79184592 80358075 80796150 82483950 83788600 83946552 83961360 85715280 87444325 89082666 90491688 91837800 92382024 94262175 94439871 96231275 96429690 96955380 97937644 98980740 100546320 101803149 103929777 104933190 104951700 107144100 107728200 109978600 110205360 113114610 115477530 116346456 118776888 121194225 122422055 123725925 125682900 125919828 128572920 129273840 131974320 133623999 135737532 137756700 138573036 139910920 139935600 142858800 145433070 146906466 148471110 150819480 153970040 154287504 157399785 160716150 161592300 164967900 167577200 167893104 169671915 173216295 174888650 178165332 180983376 183675600 184764048 188524350 188879742 192462550 192859380 193910760 195875288 197961480 203606298 207859554 209866380 209903400 214288200 215456400 219957200 220359699 222706665 226229220 230955060 232692912 237553776 241074225 242388450 244844110 247451850 251365800 251839656 257145840 262332975 267247998 271475064 275513400 277146072 279821840 282786525 283319613 288693825 290866140 293812932 296942220 301638960 307940080 311789331 314799570 321432300 323184600 329935800 339283981 339343830 346432590 349777300 356330664 363582675 367266165 371177775 377048700 377759484 384925100 385718760 387821520 391750576 395922960 407212596 415719108 419732760 419806800 428576400 440719398 445413330 452458440 461910120 472199355 482148450 484776900 489688220 494903700 502731600 503679312 509015745 519648885 524665950 534495996 542950128 551026800 554292144 565573050 566639226 577387650 581732280 587625864 593884440 612110275 623578662 629599140 642864600 646369200 659871600 661079097 668119995 678567962 678687660 692865180 699554600 712661328 727165350 734532330 742355550 754097400 755518968 769850200 771437520 786998925 814425192 831438216 839465520 848359575 849958839 866081475 881438796 890826660 904916880 923820240 935367993 944398710 964296900 969553800 979376440 989807400 1017851943 1018031490 1039297770 1049331900 1068991992 1101798495 1113533325 1131146100 1133278452 1154775300 1163464560 1175251728 1187768880 1224220550 1247157324 1259198280 1285729200 1322158194 1336239990 1357135924 1357375320 1385730360 1399109200 1416598065 1454330700 1469064660 1484711100 1508194800 1511037936 1539700400 1558946655 1573997850 1628850384 1662876432 1696419905 1696719150 1699917678 1732162950 1762877592 1781653320 1836330825 1870735986 1888797420 1928593800 1939107600 1958752880 1979614800 1983237291 2035703886 2036062980 2078595540 2098663800 2137983984 2203596990 2227066650 2262292200 2266556904 2309550600 2360996775 2374987867 2448441100 2494314648 2518396560 2545078725 2598244425 2644316388 2672479980 2714271848 2714750640 2771460720 2833196130 2908661400 2938129320 2969422200 3053555829 3117893310 3147995700 3305395485 3340599975 3392839810 3393438300 3399835356 3464325900 3525755184 3563306640 3672661650 3741471972 3777594840 3857187600 3966474582 4071407772 4072125960 4157191080 4197327600 4249794195 4407193980 4454133300 4524584400 4533113808 4619101200 4676839965 4721993550 4749975734 4896882200 4988629296 5089259715 5090157450 5196488850 5288632776 5344959960 5428543696 5508992475 5666392260 5817322800 5876258640 5938844400 5949711873 6107111658 6235786620 6295991400 6610790970 6681199950 6785679620 6786876600 6799670712 6928651800 7082990325 7124963601 7345323300 7482943944 7555189680 7794733275 7932949164 8142815544 8144251920 8314382160 8482099525 8499588390 8814387960 8908266600 9160667487 9353679930 9443987100 9499951468 9793764400 9916186455 10178519430 10180314900 10392977700 10577265552 10689919920 11017984950 11332784520 11874939335 11899423746 12214223316 12471573240 12591982800 13221581940 13362399900 13571359240 13573753200 13599341424 13857303600 14165980650 14249927202 14690646600 14965887888 15267779145 15589466550 15865898328 16285631088 16526977425 16964199050 16999176780 17628775920 17816533200 18321334974 18707359860 18887974200 18999902936 19832372910 20357038860 20360629800 20785955400 21248970975 21374890803 22035969900 22665569040 23384199825 23749878670 23798847492 24428446632 24943146480 25446298575 26443163880 26724799800 27142718480 27482002461 28331961300 28499854404 29381293200 29748559365 30535558290 31178933100 31731796656 33053954850 33928398100 33998353560 35624818005 36642669948 37414719720 37775948400 37999805872 39664745820 40714077720 40721259600 41571910800 42497941950 42749781606 44071939800 45803337435 46768399650 47499757340 47597694984 48856893264 49580932275 50892597150 52886327760 53449599600 54964004922 56663922600 56999708808 59374696675 59497118730 61071116580 62357866200 64124672409 66107909700 67856796200 67996707120 71249636010 73285339896 74829439440 76338895725 79329491640 81428155440 82446007383 84995883900 85499563212 88143879600 91606674870 93536799300 94999514680 95195389968 99161864550 101785194300 106874454015 109928009844 113327845200 113999417616 118749393350 118994237460 122142233160 124715732400 128249344818 132215819400 135713592400 137410012305 142499272020 146570679792 148742796825 152677791450 158658983280 164892014766 169991767800 170999126424 178124090025 183213349740 187073598600 189999029360 192374017227 198323729100 203570388600 213748908030 219856019688 229016687175 237498786700 237988474920 244284466320 256498689636 264431638800 274820024610 284998544040 297485593650 305355582900 320623362045 329784029532 339983535600 341998252848 356248180050 366426699480 374147197200 384748034454 396647458200 407140777200 412230036915 427497816060 439712039376 458033374350 474997573400 475976949840 512997379272 534372270075 549640049220 569997088080 577122051681 594971187300 610711165800 641246724090 659568059064 687050061525 712496360100 732853398960 769496068908 793294916400 824460073830 854995632120 916066748700 949995146800 961870086135 1025994758544 1068744540150 1099280098440 1154244103362 1189942374600 1221422331600 1282493448180 1319136118128 1374100123050 1424992720200 1538992137816 1603116810225 1648920147660 1709991264240 1832133497400 1923740172270 2061150184575 2137489080300 2198560196880 2308488206724 2379884749200 2564986896360 2748200246100 2849985440400 2885610258405 3077984275632 3206233620450 3297840295320 3664266994800 3847480344540 4122300369150 4274978160600 4616976413448 4809350430675 5129973792720 5496400492200 5771220516810 6412467240900 6595680590640 7694960689080 8244600738300 8549956321200 9233952826896 9618700861350 10992800984400 11542441033620 12824934481800 14428051292025 15389921378160 16489201476600 19237401722700 23084882067240 25649868963600 28856102584050 32978402953200 38474803445400 46169764134480 57712205168100 76949606890800 115424410336200 230848820672400
- Sum of all divisors σ(n): 960975616124160
- Sum of proper divisors (its aliquot sum) s(n): 730126795451760
- 230848820672400 is an abundant number, because the sum of its proper divisors (730126795451760) is greater than itself. Its abundance is 499277974779360
Bases of 230848820672400
- Binary: 1101000111110100101011011111001111110111100100002
- Hexadecimal: 0xD1F4ADF3F790
- Base-36: 29TUHFHL00
Squares and roots of 230848820672400
- 230848820672400 squared (2308488206724002) is 53291178005837893588121760000
- 230848820672400 cubed (2308488206724003) is 12302205594890618937228873960976271424000000
-
The
square root of 230848820672400 is 15193709.9048389101 -
The
cube root of 230848820672400 is 61344.5361223365
Scales and comparisons
How big is 230848820672400?- 230,848,820,672,400 seconds is equal to 7,340,278 years, 22 weeks, 4 days, 9 hours.
-
To count from 1 to 230,848,820,672,400 would take you about eighteen million, three hundred fifty thousand, six hundred ninety-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 230848820672400 cubic inches would be around 5112 feet tall.
Recreational maths with 230848820672400
- 230848820672400 backwards is 004276028848032
- 230848820672400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230848820672400's digits is 54
- 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 230848820672400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 230848820672400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/230848820672400/
Chicago style:
Numbermatics. 2024. "Number 230848820672400 - Facts about the integer". https://numbermatics.com/n/230848820672400/
The information we have on file for 230848820672400 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 230848820672400, math, Factors of 230848820672400, curriculum, school, college, exams, university, Prime factorization of 230848820672400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty trillion, eight hundred forty-eight billion, eight hundred twenty million, six hundred seventy-two thousand, four hundred.