106405507608400
106,405,507,608,400 is an even composite number composed of six prime numbers multiplied together.
106405507608400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 106405507608400:
24 × 52 × 73 × 112 × 13 × 793
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 79 × 79 × 79)See below for interesting mathematical facts about the number 106405507608400 from the Numbermatics database.
Names of 106405507608400
- Cardinal: 106405507608400 can be written as One hundred six trillion, four hundred five billion, five hundred seven million, six hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.064055076084 × 1014
Factors of 106405507608400
Divisors of 106405507608400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 44 49 50 52 55 56 65 70 77 79 80 88 91 98 100 104 110 112 121 130 140 143 154 158 175 176 182 196 200 208 220 242 245 260 275 280 286 308 316 325 343 350 364 385 392 395 400 440 455 484 490 520 539 550 553 560 572 605 616 632 637 650 686 700 715 728 770 784 790 847 869 880 910 968 980 1001 1027 1040 1078 1100 1106 1144 1210 1225 1232 1264 1274 1300 1372 1400 1430 1456 1540 1573 1580 1694 1715 1738 1820 1925 1936 1960 1975 2002 2054 2156 2200 2212 2275 2288 2420 2450 2548 2600 2695 2744 2765 2800 2860 3025 3080 3146 3160 3185 3388 3430 3476 3575 3640 3773 3850 3871 3920 3950 4004 4108 4235 4312 4345 4400 4424 4459 4550 4840 4900 5005 5096 5135 5200 5390 5488 5530 5720 5929 6050 6083 6160 6241 6292 6320 6370 6776 6860 6952 7007 7150 7189 7280 7546 7700 7742 7865 7900 8008 8216 8470 8575 8624 8690 8848 8918 9100 9559 9680 9800 10010 10192 10270 10780 11011 11060 11297 11440 11858 12100 12166 12482 12584 12740 13475 13552 13720 13825 13904 14014 14300 14378 15092 15400 15484 15730 15800 15925 16016 16432 16940 17150 17380 17836 18200 18865 19118 19355 19600 20020 20540 21175 21560 21725 22022 22120 22295 22594 23716 24200 24332 24964 25025 25168 25480 25675 26950 27097 27440 27650 28028 28600 28756 29645 30184 30415 30800 30968 31205 31460 31600 31850 33880 34300 34760 35035 35672 35945 36400 37730 38236 38710 39325 40040 41080 41503 42350 42581 43120 43450 43687 44044 44240 44590 45188 47432 47795 48400 48664 49049 49928 50050 50323 50960 51350 53900 54194 55055 55300 56056 56485 57200 57512 59290 60368 60830 61936 62410 62920 63700 66913 67760 68600 68651 69520 70070 71344 71890 75460 76472 77077 77420 78650 79079 80080 81133 82160 83006 84700 85162 86900 87374 88088 89180 90376 94325 94864 95590 96775 97328 98098 99856 100100 100646 102700 107800 108388 110110 110600 111475 112112 112970 115024 118580 121660 124267 124820 125840 127400 133826 135485 137200 137302 140140 143780 148225 150920 152075 152944 154154 154840 156025 157300 158158 162266 166012 169400 170324 173800 174748 175175 176176 178360 179725 180752 188650 191180 193550 196196 200200 201292 205400 207515 212905 215600 216776 218435 220220 221200 222950 225940 237160 238975 243320 245245 248534 249640 251615 254800 267652 270970 274604 275275 280280 282425 287560 296450 298067 301840 304150 305809 308308 309680 312050 314600 316316 324532 332024 334565 338800 340648 343255 347600 349496 350350 352261 356720 359450 377300 382360 385385 387100 392392 395395 400400 402584 405665 410800 415030 425810 433552 436870 440440 445900 451880 468391 474320 477950 480557 486640 490490 493039 497068 499280 503230 535304 539539 541940 549208 550550 553553 560560 564850 567931 575120 592900 596134 608300 611618 616616 621335 624100 629200 632632 649064 664048 669130 677425 681296 686510 698992 700700 704522 718900 754600 755161 764720 770770 774200 784784 790790 805168 811330 830060 851620 869869 873740 880880 891800 892463 903760 936782 955900 961114 980980 986078 994136 1006460 1037575 1064525 1070608 1079078 1083880 1092175 1098416 1101100 1107106 1129700 1135862 1185800 1192268 1216600 1223236 1226225 1233232 1242670 1248200 1258075 1265264 1298128 1338260 1354850 1373020 1401400 1409044 1437800 1490335 1509200 1510322 1529045 1541540 1548400 1581580 1622660 1660120 1672825 1703240 1716275 1739738 1747480 1761305 1783600 1784926 1873564 1911800 1922228 1926925 1961960 1972156 1976975 1988272 2012920 2028325 2075150 2129050 2140663 2158156 2167760 2184350 2202200 2214212 2259400 2271724 2341955 2371600 2384536 2402785 2433200 2446472 2452450 2465195 2485340 2496400 2516150 2676520 2697695 2709700 2746040 2767765 2802800 2818088 2839655 2875600 2980670 3020644 3058090 3083080 3106675 3163160 3245320 3278737 3320240 3345650 3363899 3406480 3432550 3451273 3479476 3494960 3522610 3569852 3747128 3775805 3823600 3844456 3853850 3874871 3923920 3944312 3953950 3975517 4025840 4056650 4150300 4258100 4281326 4316312 4349345 4368700 4404400 4428424 4462315 4518800 4543448 4683910 4769072 4805570 4892944 4904900 4930390 4970680 5032300 5286127 5353040 5395390 5419400 5423429 5492080 5535530 5636176 5679310 5961340 6041288 6089083 6116180 6166160 6213350 6247241 6326320 6409507 6490640 6557474 6691300 6727798 6865100 6902546 6958952 7045220 7139704 7451675 7494256 7551610 7645225 7688912 7707700 7749742 7888624 7907900 7951034 8113300 8300600 8516200 8562652 8632624 8698690 8737400 8806525 8856848 8924630 9086896 9367820 9611140 9809800 9817093 9860780 9941360 10064600 10572254 10703315 10790780 10838800 10846858 11071060 11358620 11709775 11922680 12013925 12082576 12178166 12232360 12325975 12426700 12494482 12819014 13114948 13382600 13455596 13488475 13730200 13805092 13838825 13917904 14090440 14198275 14279408 14903350 15103220 15290450 15415400 15499484 15815800 15902068 16226600 16393685 16601200 16819495 17032400 17125304 17256365 17397380 17474800 17613050 17849260 18735640 18879025 19222280 19374355 19619600 19634186 19721560 19877585 20129200 21144508 21406630 21581560 21693716 21746725 22142120 22311575 22717240 23419550 23547293 23845360 24027850 24158911 24356332 24464720 24651950 24853400 24988964 25638028 26229896 26430635 26765200 26911192 26976950 27117145 27460400 27610184 27677650 27828619 28180880 28396550 29806700 30206440 30445415 30580900 30830800 30998968 31236205 31631600 31804136 32047535 32453200 32787370 33638990 34250608 34512730 34794760 35226100 35698520 37002889 37471280 37758050 37964003 38444560 38748710 39268372 39443120 39755170 42289016 42623581 42813260 43163120 43387432 43493450 43730687 44284240 44623150 44866549 45434480 46839100 47094586 48055700 48317822 48712664 49085465 49303900 49706800 49977928 51276056 52459792 52861270 53516575 53822384 53953900 54234290 55220368 55355300 55657238 56793100 59613400 59657719 60412880 60890830 61161800 61997936 62472410 63608272 64095070 65574740 67277980 68719651 69025460 69589520 70452200 70504577 71397040 74005778 75516100 75928006 77497420 78536744 79510340 81968425 84097475 84578032 85247162 85626520 86281825 86774864 86986900 87461374 89246300 89733098 93678200 94189172 96111400 96635644 96871775 97425328 98170930 98607800 99387925 99955856 102552112 105722540 107033150 107907800 108468580 110710600 111314476 113586200 117736465 119226800 119315438 120794555 121781660 122323600 124944820 128190140 131149480 132153175 134555960 135585725 137439302 138050920 139143095 140904400 141009154 148011556 151032200 151856012 152227075 154994840 156181025 157073488 159020680 160237675 163936850 168194950 169112377 170494324 171253040 172563650 173973800 174922748 178492600 179466196 185014445 187356400 188378344 189820015 192222800 193271288 193743550 196341860 197215600 198775850 211445080 213117905 214066300 215815600 216937160 218653435 221421200 222628952 224332745 227172400 235472930 238630876 241589110 243563320 245427325 249889640 256380280 259020223 262298960 264306350 265748021 269111920 271171450 274878604 276101840 278286190 282018308 296023112 298288595 302064400 303712024 304454150 306114809 309989680 312362050 314065843 318041360 320475350 327873700 336389900 338224754 340988648 343598255 345127300 347947600 349845496 352522885 356985200 358932392 370028890 376756688 379640030 386542576 387487100 392683720 397551700 417604033 422890160 426235810 428132600 433874320 437306870 445257904 448665490 470945860 477261752 481037557 483178220 487126640 490854650 493532039 499779280 512760560 518040446 528612700 531496042 542342900 549757208 556572380 564036616 588682325 592046224 596577190 603972775 607424048 608908300 612229618 624724100 628131686 640950700 655747400 672779800 676449508 681977296 687196510 690254600 695715475 699690992 705045770 717864784 740057780 759280060 774974200 775550347 785367440 795103400 835208066 845561885 852471620 856265200 874613740 897330980 925072225 941891720 949100075 954523504 962075114 966356440 981709300 987064078 1036080892 1057225400 1062992084 1065589525 1084685800 1093267175 1099514416 1113144760 1121663725 1128073232 1177364650 1193154380 1207945550 1217816600 1224459236 1249448200 1256263372 1281901400 1295101115 1311494800 1328740105 1345559600 1352899016 1374393020 1380509200 1391430950 1410091540 1480115560 1491442975 1518560120 1530574045 1549948400 1551100694 1570329215 1590206800 1670416132 1691123770 1704943240 1717991275 1749227480 1762614425 1794661960 1850144450 1860236147 1883783440 1898200150 1924150228 1932712880 1963418600 1974128156 2072161784 2088020165 2114450800 2125984168 2131179050 2169371600 2186534350 2198460901 2226289520 2243327450 2354729300 2386308760 2405187785 2415891100 2435633200 2448918472 2467660195 2498896400 2512526744 2563802800 2590202230 2657480210 2705798032 2748786040 2782861900 2820183080 2923228231 2960231120 2982885950 3037120240 3061148090 3102201388 3140658430 3340832264 3367262899 3382247540 3409886480 3435982550 3454724273 3498454960 3525228850 3589323920 3700288900 3720472294 3796400300 3848300456 3877751735 3926837200 3948256312 4144323568 4176040330 4227809425 4251968336 4262358100 4373068700 4396921802 4486654900 4709458600 4772617520 4810375570 4831782200 4897836944 4935320390 5025053488 5180404460 5314960420 5428852429 5497572080 5565723800 5640366160 5846456462 5965771900 6122296180 6204402776 6281316860 6475505575 6643700525 6681664528 6734525798 6764495080 6871965100 6909448546 7050457700 7400577800 7440944588 7592800600 7652870225 7696600912 7755503470 7851646075 7896512624 8352080660 8455618850 8524716200 8746137400 8793843604 8973309800 9301180735 9418917200 9620751140 9663564400 9870640780 10360808920 10440100825 10629920840 10857704858 10992304505 11131447600 11692912924 11931543800 12025938925 12244592360 12338300975 12408805552 12562633720 12951011150 13287401050 13469051596 13528990160 13743930200 13818897092 14100915400 14616141155 14801155600 14881889176 15185601200 15305740450 15511006940 15703292150 16704161320 16836314495 16911237700 17049432400 17273621365 17492274800 17587687208 17946619600 18602361470 19241502280 19388758675 19741281560 20462597617 20721617840 20880201650 21259841680 21715409716 21984609010 23385825848 23863087600 24051877850 24183069911 24489184720 24676601950 25125267440 25902022300 26574802100 26938103192 27144262145 27487860400 27637794184 28201830800 29232282310 29763778352 30611480900 31022013880 31406584300 33408322640 33672628990 33822475400 34547242730 35175374416 37204722940 38001967003 38483004560 38777517350 39482563120 40925195234 41760403300 43430819432 43969218020 46505903675 46771651696 48103755700 48366139822 49353203900 51804044600 53149604200 53876206384 54288524290 54961522525 55275588368 58464564620 61222961800 62044027760 62813168600 67345257980 67644950800 69094485460 73080705775 74409445880 76003934006 77555034700 81850390468 83520806600 84181572475 86368106825 86861638864 87938436040 93011807350 96207511400 96732279644 98706407800 102312988085 103608089200 106299208400 108577048580 109923045050 116929129240 120915349555 122445923600 125626337200 134690515960 135721310725 138188970920 146161411550 148818891760 152007868012 155110069400 163700780936 167041613200 168363144950 172736213650 175876872080 186023614700 190009835015 192415022800 193464559288 197412815600 204625976170 217154097160 219846090100 233858258480 241830699110 266013769021 269381031920 271442621450 276377941840 292322823100 304015736024 310220138800 327401561872 336726289900 345472427300 372047229400 380019670030 386929118576 409251952340 434308194320 439692180200 483661398220 511564940425 532027538042 542885242900 584645646200 604576747775 608031472048 673452579800 690944854600 744094458800 760039340060 818503904680 879384360400 950049175075 967322796440 1023129880850 1064055076084 1085770485800 1169291292400 1209153495550 1330068845105 1346905159600 1381889709200 1520078680120 1637007809360 1900098350150 1934645592880 2046259761700 2128110152168 2171540971600 2418306991100 2660137690210 3040157360240 3800196700300 4092519523400 4256220304336 4836613982200 5320275380420 6650344225525 7600393400600 8185039046800 9673227964400 10640550760840 13300688451050 15200786801200 21281101521680 26601376902100 53202753804200 106405507608400
- Sum of all divisors σ(n): 357418318208000
- Sum of proper divisors (its aliquot sum) s(n): 251012810599600
- 106405507608400 is an abundant number, because the sum of its proper divisors (251012810599600) is greater than itself. Its abundance is 144607302991200
Bases of 106405507608400
- Binary: 110000011000110011101100111101110101111010100002
- Hexadecimal: 0x60C6767BAF50
- Base-36: 11PU0JX5XS
Squares and roots of 106405507608400
- 106405507608400 squared (1064055076084002) is 11322132049401270287750560000
- 106405507608400 cubed (1064055076084003) is 1204737207925876350267867069401360704000000
-
The
square root of 106405507608400 is 10315304.5329936817 -
The
cube root of 106405507608400 is 47386.5076412605
Scales and comparisons
How big is 106405507608400?- 106,405,507,608,400 seconds is equal to 3,383,366 years, 2 days, 22 hours, 46 minutes, 40 seconds.
-
To count from 1 to 106,405,507,608,400 would take you about eight million, four hundred fifty-eight thousand, four hundred fifteen 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 106405507608400 cubic inches would be around 3948.9 feet tall.
Recreational maths with 106405507608400
- 106405507608400 backwards is 004806705504601
- The number of decimal digits it has is: 15
- The sum of 106405507608400's digits is 46
- More coming soon!
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The information we have on file for 106405507608400 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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