230828648019200
230,828,648,019,200 is an even composite number composed of seven prime numbers multiplied together.
230828648019200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 230828648019200:
28 × 52 × 7 × 11 × 113 × 1272 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 113 × 127 × 127 × 257)See below for interesting mathematical facts about the number 230828648019200 from the Numbermatics database.
Names of 230828648019200
- Cardinal: 230828648019200 can be written as Two hundred thirty trillion, eight hundred twenty-eight billion, six hundred forty-eight million, nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 2.308286480192 × 1014
Factors of 230828648019200
Divisors of 230828648019200
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 113 127 128 140 154 160 175 176 200 220 224 226 254 256 257 275 280 308 320 350 352 385 400 440 448 452 508 514 550 560 565 616 635 640 700 704 770 791 800 880 889 896 904 1016 1028 1100 1120 1130 1232 1243 1270 1280 1285 1397 1400 1408 1540 1582 1600 1760 1778 1792 1799 1808 1925 2032 2056 2200 2240 2260 2464 2486 2540 2570 2794 2800 2816 2825 2827 3080 3164 3175 3200 3520 3556 3598 3616 3850 3955 4064 4112 4400 4445 4480 4520 4928 4972 5080 5140 5588 5600 5650 5654 6160 6215 6328 6350 6400 6425 6985 7040 7112 7196 7232 7700 7910 8128 8224 8701 8800 8890 8960 8995 9040 9779 9856 9944 10160 10280 11176 11200 11300 11308 12320 12430 12656 12700 12850 13970 14080 14135 14224 14351 14392 14464 15400 15820 16129 16256 16448 17402 17600 17780 17990 18080 19558 19712 19775 19789 19888 20320 20560 22225 22352 22400 22600 22616 24640 24860 25312 25400 25700 27940 28270 28448 28702 28784 28928 29041 30800 31075 31640 32258 32512 32639 32896 34804 34925 35200 35560 35980 36160 39116 39550 39578 39776 40640 41120 43505 44450 44704 44800 44975 45200 45232 48895 49280 49720 50624 50800 51400 55880 56540 56896 57404 57568 58082 61600 62150 63280 64516 65278 65792 69608 69850 70400 70675 71120 71755 71960 72320 78232 79100 79156 79552 80645 81280 82240 87010 88900 89408 89950 90400 90464 97790 98560 98945 99440 100457 101248 101600 102800 111760 112903 113080 113792 114808 115136 116164 123200 124300 126560 129032 130556 139216 139700 141350 142240 143510 143920 144640 145205 156464 157861 158200 158312 159104 161290 162560 163195 164480 174020 177419 177800 178816 179900 180800 180928 195580 197890 198880 200914 202496 203200 203287 205600 217525 223520 225806 226160 227584 228473 229616 230272 232328 244475 246400 248600 253120 258064 261112 278432 279400 282700 284480 287020 287840 290410 312928 315722 316400 316624 318208 319451 322580 326390 328960 348040 354838 355600 357632 358775 359029 359800 361600 361856 391160 395780 397760 401828 403225 406400 406574 411200 435050 447040 451612 452320 456946 459232 460544 464656 488950 492800 494725 497200 502285 506240 516128 522224 556864 558800 564515 565400 568960 574040 575680 580820 625856 631444 632800 633248 638902 645160 652780 696080 709676 711200 717550 718058 719600 723200 723712 726025 782320 789305 791560 795520 803656 806450 812800 813148 815975 822400 870100 887095 894080 903224 904640 913892 918464 929312 977900 989450 994400 1004570 1012480 1016435 1032256 1044448 1105027 1113728 1117600 1129030 1130800 1137920 1142365 1148080 1151360 1161640 1241933 1251712 1262888 1265600 1266496 1277804 1290320 1305560 1392160 1419352 1422400 1435100 1436116 1439200 1452050 1564640 1578610 1583120 1591040 1597255 1607312 1612900 1626296 1631950 1644800 1740200 1774190 1788160 1795145 1806448 1809280 1822577 1827784 1836928 1858624 1955800 1978900 1988800 2009140 2032870 2064512 2088896 2210054 2227456 2235200 2236157 2258060 2261600 2284730 2296160 2302720 2323280 2483866 2503424 2511425 2513203 2525776 2531200 2532992 2555608 2580640 2611120 2784320 2822575 2838704 2844800 2870200 2872232 2878400 2904100 3129280 3157220 3166240 3194510 3214624 3225800 3252592 3263900 3480400 3548380 3590290 3612896 3618560 3645154 3655568 3673856 3688207 3717248 3911600 3946525 3957800 3977600 4018280 4065740 4129024 4145153 4177792 4420108 4435475 4470400 4472314 4516120 4523200 4569460 4592320 4646560 4967732 5022850 5026406 5051552 5062400 5065984 5082175 5111216 5161280 5222240 5525135 5568640 5645150 5677408 5689600 5711825 5740400 5744464 5756800 5808200 6209665 6258560 6314440 6332480 6389020 6429248 6451600 6505184 6527800 6960800 7096760 7180580 7225792 7290308 7311136 7376414 7434496 7823200 7893050 7915600 7955200 7986275 8036560 8131480 8290306 8355584 8840216 8870950 8940800 8944628 8975725 9032240 9046400 9112885 9138920 9184640 9293120 9935464 10045700 10052812 10103104 10164350 10222432 10322560 10444480 11050270 11137280 11180785 11290300 11354816 11423650 11480800 11488928 11513600 11616400 12419330 12517120 12566015 12628880 12664960 12758039 12778040 12858496 12903200 13010368 13055600 13921600 14193520 14361160 14451584 14580616 14622272 14752828 15646400 15786100 15831200 15972550 16073120 16262960 16580612 17680432 17741900 17889256 17951450 18064480 18092800 18225770 18277840 18369280 18441035 18586240 19870928 20048347 20091400 20105624 20206208 20328700 20444864 20645120 20725765 20888960 22100540 22361570 22580600 22709632 22847300 22961600 22977856 23232800 24838660 25132030 25257760 25329920 25516078 25556080 25716992 25806400 25817449 26020736 26111200 27625675 27843200 28387040 28722320 28903168 29016071 29161232 29244544 29505656 31048325 31292800 31572200 31662400 31945100 32146240 32525920 33161224 35360864 35483800 35778512 35902900 36128960 36451540 36555680 36882070 37172480 39741856 40096694 40182800 40211248 40412416 40570277 40657400 40889728 41451530 41777920 44201080 44723140 45161200 45419264 45564425 45596683 45694600 45923200 45955712 46465600 49677320 50264060 50515520 51032156 51112160 51612800 51634898 52041472 52222400 55251350 55686400 55903925 56774080 57444640 58032142 58322464 58489088 59011312 62096650 62585600 62830075 63144400 63324800 63790195 63890200 64292480 65051840 66322448 70721728 70967600 71557024 71805800 72257920 72903080 73111360 73764140 79483712 80193388 80365600 80422496 81140554 81314800 81779456 82903060 88402160 89446280 90322400 91128850 91193366 91389200 91846400 91911424 92205175 92931200 99354640 100241735 100528120 101031040 102064312 102224320 103225600 103269796 103628825 104444800 110502700 111807850 113548160 114889280 116064284 116644928 118022624 124193300 125660150 126288800 126649600 127580390 127780400 128584960 129087245 130103680 132644896 140338429 141443456 141935200 143114048 143611600 144515840 145080355 145806160 146222720 147528280 158967424 160386776 160731200 160844992 162281108 162629600 165806120 176804320 178892560 180644800 182257700 182386732 182778400 184410350 185862400 198709280 200483470 201056240 202062080 202851385 204128624 204448640 206539592 207257650 208889600 221005400 223615700 227096320 227983415 229778560 232128568 233289856 236045248 248386600 251320300 252577600 255160780 255560800 258174490 260207360 265289792 280676858 282886912 283870400 283991939 286228096 287223200 290160710 291612320 292445440 295056560 317934848 318950975 319176781 320773552 321462400 321689984 324562216 325259200 331612240 353608640 357785120 361289600 364515400 364773464 365556800 368820700 397418560 400966940 402112480 405702770 408257248 408897280 413079184 414515300 442010800 447231400 455966830 459557120 464257136 466579712 468402289 472090496 496773200 501208675 502640600 505155200 510321560 511121600 516348980 530579584 561353716 567740800 567983878 572456192 574446400 580321420 583224640 590113120 637901950 638353562 641547104 642924800 643379968 645436225 649124432 650518400 663224480 701692145 707217280 715570240 722579200 725401775 729030800 729546928 731113600 737641400 794837120 801933880 804224960 811405540 816514496 826158368 829030600 884021600 894462800 911933660 928514272 936804578 944180992 993546400 1002417350 1005281200 1010310400 1014256925 1020643120 1022243200 1032697960 1061159168 1122707432 1135481600 1135967756 1139917075 1148892800 1160642840 1166449280 1180226240 1275803900 1276707124 1283094208 1290872450 1298248864 1301036800 1326448960 1403384290 1414434560 1419959695 1431140480 1450803550 1458061600 1459093856 1462227200 1475282800 1589674240 1595883905 1603867760 1608449920 1622811080 1633028992 1652316736 1658061200 1768043200 1788925600 1823867320 1857028544 1873609156 1987092800 2004834700 2010562400 2028513850 2041286240 2044486400 2065395920 2245414864 2271935512 2279834150 2297785600 2321285680 2332898560 2342011445 2360452480 2551607800 2553414248 2566188416 2581744900 2596497728 2652897920 2806768580 2839919390 2862280960 2901607100 2916123200 2918187712 2950565600 3191767810 3207735520 3216899840 3245622160 3266057984 3278816023 3304633472 3316122400 3508460725 3536086400 3577851200 3647734640 3714057088 3747218312 3974185600 4009669400 4021124800 4057027700 4082572480 4130791840 4490829728 4543871024 4559668300 4642571360 4684022890 4720904960 5103215600 5106828496 5132376832 5152425179 5163489800 5192995456 5305795840 5613537160 5679838780 5803214200 5832246400 5836375424 5901131200 6383535620 6415471040 6491244320 6557632046 6609266944 6632244800 7016921450 7072172800 7099798475 7155702400 7295469280 7428114176 7494436624 7948371200 7979419525 8019338800 8042249600 8114055400 8165144960 8261583680 8981659456 9087742048 9119336600 9285142720 9368045780 10206431200 10213656992 10304850358 10326979600 10385990912 11227074320 11359677560 11606428400 11664492800 11672750848 11710057225 11802262400 12767071240 12830942080 12982488640 13115264092 13264489600 14033842900 14199596950 14311404800 14590938560 14988873248 15958839050 16038677600 16084499200 16228110800 16330289920 16394080115 16523167360 17963318912 18175484096 18238673200 18570285440 18736091560 20412862400 20427313984 20609700716 20653959200 22454148640 22719355120 23212856800 23420114450 23604524800 25534142480 25661884160 25762125895 25964977280 26230528184 26528979200 28067685800 28399193900 29181877120 29977746496 31917678100 32077355200 32456221600 32788160230 33046334720 35926637824 36066976253 36350968192 36477346400 37140570880 37472183120 40825724800 40854627968 41219401432 41307918400 44908297280 45438710240 46425713600 46840228900 51068284960 51524251790 51929954560 52461056368 56135371600 56798387800 58363754240 59955492992 63835356200 64154710400 64912443200 65576320460 72133952506 72701936384 72954692800 74944366240 81651449600 81709255936 81970400575 82438802864 82615836800 89816594560 90877420480 92851427200 93680457800 102136569920 103048503580 104922112736 112270743200 113596775600 119910985984 127670712400 128309420800 128810629475 129824886400 131152640920 144267905012 145909385600 149888732480 163940801150 164877605728 165231673600 179633189120 180334881265 181754840960 185702854400 187360915600 204273139840 206097007160 209844225472 224541486400 227193551200 255341424800 257621258950 259649772800 262305281840 288535810024 291818771200 299777464960 327881602300 329755211456 360669762530 363509681920 374721831200 408546279680 412194014320 419688450944 449082972800 454387102400 510682849600 515242517900 524610563680 577071620048 599554929920 655763204600 659510422912 721339525060 749443662400 824388028640 839376901888 898165945600 901674406325 908774204800 1021365699200 1030485035800 1049221127360 1154143240096 1311526409200 1319020845824 1442679050120 1498887324800 1648776057280 1803348812650 1817548409600 2042731398400 2060970071600 2098442254720 2308286480192 2623052818400 2885358100240 2997774649600 3297552114560 3606697625300 4121940143200 4196884509440 4616572960384 5246105636800 5770716200480 6595104229120 7213395250600 8243880286400 9233145920768 10492211273600 11541432400960 14426790501200 16487760572800 20984422547200 23082864801920 28853581002400 32975521145600 46165729603840 57707162004800 115414324009600 230828648019200
- Sum of all divisors σ(n): 727141262730624
- Sum of proper divisors (its aliquot sum) s(n): 496312614711424
- 230828648019200 is an abundant number, because the sum of its proper divisors (496312614711424) is greater than itself. Its abundance is 265483966692224
Bases of 230828648019200
- Binary: 1101000111101111111110111001000110110101000000002
- Hexadecimal: 0xD1EFFB91B500
- Base-36: 29TL7T7M68
Squares and roots of 230828648019200
- 230828648019200 squared (2308286480192002) is 53281864746371724083568640000
- 230828648019200 cubed (2308286480192003) is 12298980803346859778769525288803237888000000
-
The
square root of 230828648019200 is 15193046.0415020137 -
The
cube root of 230828648019200 is 61342.7492124785
Scales and comparisons
How big is 230828648019200?- 230,828,648,019,200 seconds is equal to 7,339,637 years, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 230,828,648,019,200 would take you about eighteen million, three hundred forty-nine thousand and ninety-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 230828648019200 cubic inches would be around 5111.9 feet tall.
Recreational maths with 230828648019200
- 230828648019200 backwards is 002910846828032
- The number of decimal digits it has is: 15
- The sum of 230828648019200's digits is 53
- More coming soon!
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"Number 230828648019200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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The information we have on file for 230828648019200 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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