45343964665126400

Names of 45343964665126400

• Cardinal: 45343964665126400 can be written as Forty-five quadrillion, three hundred forty-three trillion, nine hundred sixty-four billion, six hundred sixty-five million, one hundred twenty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.53439646651264 × 10¹⁶

Factors of 45343964665126400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 640

Divisors of 45343964665126400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 128 130 140 160 169 175 182 200 208 224 256 260 280 320 325 338 350 364 400 416 448 455 512 520 560 613 640 650 676 700 728 800 832 845 896 910 1040 1120 1183 1226 1280 1300 1352 1400 1456 1600 1664 1690 1792 1820 2080 2197 2240 2275 2366 2452 2560 2600 2704 2800 2912 3065 3200 3328 3380 3584 3640 4160 4225 4291 4394 4480 4550 4732 4904 5200 5408 5600 5824 5915 6130 6400 6656 6760 7280 7969 8320 8450 8582 8788 8960 9100 9464 9808 10400 10816 10985 11200 11648 11830 12260 12800 13520 14560 15325 15379 15938 16640 16900 17164 17576 17920 18200 18928 19616 20800 21455 21632 21970 22400 23296 23660 24520 27040 29120 29575 30650 30758 31876 33280 33800 34328 35152 36400 37856 39232 39845 41600 42910 43264 43940 44800 46592 47320 49040 54080 54925 55783 58240 59150 61300 61516 63752 67600 68656 70304 72800 75712 76895 78464 79690 83200 85820 86528 87880 89600 94640 98080 103597 107275 108160 109850 111566 116480 118300 122600 123032 127504 135200 137312 140608 145600 151424 153790 156928 159380 166400 171640 175760 189280 196160 199225 207194 214550 216320 219700 223132 232960 236600 245200 246064 255008 270400 274624 278915 281216 291200 302848 307580 313856 318760 343280 351520 375769 378560 384475 392320 398450 414388 429100 432640 439400 446264 473200 490400 492128 510016 517985 540800 549248 557830 562432 582400 605696 615160 637520 686560 703040 725179 751538 757120 768950 784640 796900 828776 858200 878800 892528 946400 980800 984256 1020032 1035970 1081600 1098496 1115660 1124864 1164800 1230320 1275040 1346761 1373120 1394575 1406080 1450358 1503076 1514240 1537900 1569280 1593800 1657552 1716400 1757600 1785056 1878845 1892800 1961600 1968512 2040064 2071940 2163200 2196992 2231320 2460640 2550080 2589925 2630383 2693522 2746240 2789150 2812160 2900716 3006152 3028480 3075800 3187600 3315104 3432800 3515200 3570112 3625895 3757690 3785600 3923200 3937024 4080128 4143880 4462640 4884997 4921280 5100160 5179850 5260766 5387044 5492480 5578300 5624320 5801432 6012304 6151600 6375200 6630208 6733805 6865600 7030400 7140224 7251790 7515380 7571200 7846400 7874048 8287760 8925280 9394225 9427327 9769994 9842560 10200320 10359700 10521532 10774088 10984960 11156600 11602864 12024608 12303200 12750400 13151915 13260416 13467610 13731200 14060800 14280448 14503580 15030760 15142400 16575520 17850560 18129475 18788450 18854654 19539988 19685120 20400640 20719400 21043064 21548176 22313200 23205728 24049216 24424985 24606400 25500800 26303830 26520832 26935220 27462400 28121600 28560896 29007160 30061520 33151040 33669025 34194979 35701120 36258950 37576900 37709308 39079976 39370240 41438800 42086128 43096352 44626400 46411456 47136635 48098432 48849970 49212800 51001600 52607660 53041664 53870440 54924800 58014320 60123040 63504961 65759575 66302080 67338050 68389958 71402240 72517900 75153800 75418616 78159952 82877600 84172256 86192704 89252800 92822912 94273270 96196864 97699940 98425600 102003200 105215320 107740880 116028640 120246080 122124925 127009922 131519150 132604160 134676100 136779916 142804480 145035800 150307600 150837232 156319904 165755200 168344512 170974895 172385408 178505600 185645824 188546540 192393728 195399880 196851200 210430640 215481760 230346397 232057280 235683175 240492160 244249850 254019844 263038300 265208320 269352200 273559832 290071600 300615200 301674464 312639808 317524805 331510400 336689024 341949790 344770816 357011200 371291648 377093080 390799760 420861280 430963520 444534727 460692794 464114560 471366350 480984320 488499700 508039688 526076600 538704400 547119664 580143200 601230400 603348928 625279616 635049610 663020800 673378048 683899580 689541632 714022400 754186160 781599520 825564493 841722560 854874475 861927040 889069454 921385588 928229120 942732700 961968640 976999400 1016079376 1052153200 1077408800 1094239328 1151731985 1160286400 1202460800 1206697856 1250559232 1270099220 1326041600 1346756096 1367799160 1508372320 1563199040 1587624025 1612424779 1651128986 1683445120 1709748950 1723854080 1778138908 1842771176 1856458240 1885465400 1953998800 2032158752 2104306400 2154817600 2188478656 2222673635 2303463970 2320572800 2404921600 2413395712 2501118464 2540198440 2735598320 2994503161 3016744640 3126398080 3175248050 3224849558 3302257972 3366890240 3419497900 3447708160 3556277816 3685542352 3770930800 3907997600 4064317504 4127822465 4208612800 4309635200 4376957312 4445347270 4606927940 4641145600 4809843200 4826791424 5080396880 5471196640 5758659925 5778951451 5989006322 6033489280 6252796160 6350496100 6449699116 6604515944 6733780480 6838995800 7112555632 7371084704 7541861600 7815995200 8062123895 8128635008 8255644930 8417225600 8619270400 8753914624 8890694540 9213855880 9282291200 10160793760 10942393280 11113368175 11517319850 11557902902 11978012644 12066978560 12505592320 12700992200 12899398232 13209031888 13677991600 14225111264 14742169408 14972515805 15083723200 15631990400 16124247790 16257270016 16511289860 16834451200 17238540800 17507829248 17781389080 18427711760 20321587520 20639112325 20961522127 21884786560 22226736350 23034639700 23115805804 23956025288 24133957120 25401984400 25798796464 26418063776 27355983200 28450222528 28894757255 29484338816 29945031610 30167446400 31263980800 32248495580 32514540032 33022579720 33668902400 35562778160 36855423520 38928541093 40310619475 40643175040 41278224650 41923044254 43769573120 44453472700 46069279400 46231611608 47912050576 50803968800 51597592928 52836127552 54711966400 56900445056 57789514510 58968677632 59890063220 60334892800 62527961600 64496991160 66045159440 71125556320 73710847040 74862579025 77857082186 80621238950 81286350080 82556449300 83846088508 87539146240 88906945400 92138558800 92463223216 95824101152 101607937600 103195185856 104807610635 105672255104 109423932800 113800890112 115579029020 117937355264 119780126440 120669785600 128993982320 132090318880 142251112640 144473786275 147421694080 149725158050 155714164372 161242477900 162572700160 165112898600 167692177016 177813890800 184277117600 184926446432 191648202304 194642705465 203215875200 206390371712 209615221270 211344510208 218847865600 227601780224 231158058040 239560252880 257987964640 264180637760 272499787651 284502225280 288947572550 294843388160 299450316100 311428328744 322484955800 330225797200 335384354032 355627781600 368554235200 369852892864 383296404608 389285410930 406431750400 412780743424 419230442540 422689020416 437695731200 462316116080 479120505760 506071034209 515975929280 524038053175 528361275520 544999575302 569004450560 577895145100 589686776320 598900632200 622856657488 644969911600 660451594400 670768708064 711255563200 737108470400 739705785728 766592809216 778570821860 812863500800 825561486848 838460885080 924632232160 958241011520 973213527325 1012142068418 1031951858560 1048076106350 1056722551040 1089999150604 1138008901120 1155790290200 1197801264400 1245713314976 1289939823200 1320903188800 1341537416128 1362498938255 1422511126400 1474216940800 1479411571456 1533185618432 1557141643720 1676921770160 1849264464320 1916482023040 1946427054650 2024284136836 2063903717120 2096152212700 2113445102080 2179998301208 2311580580400 2395602528800 2491426629952 2530355171045 2579879646400 2641806377600 2683074832256 2724997876510 2845022252800 2948433881600 2958823142912 3114283287440 3353843540320 3542497239463 3698528928640 3832964046080 3892854109300 4048568273672 4127807434240 4192304425400 4359996602416 4623161160800 4791205057600 4982853259904 5060710342090 5159759292800 5283612755200 5366149664512 5449995753020 5690044505600 6228566574880 6707687080640 6812494691275 7084994478926 7397057857280 7665928092160 7785708218600 8097136547344 8384608850800 8719993204832 9246322321600 9582410115200 9965706519808 10121420684180 10319518585600 10567225510400 10732299329024 10899991506040 12457133149760 12651775855225 13415374161280 13624989382550 14169988957852 14794115714560 15571416437200 16194273094688 16769217701600 17439986409664 17712486197315 18492644643200 19164820230400 19931413039616 20242841368360 20639037171200 21799983012080 24914266299520 25303551710450 26830748322560 27249978765100 28339977915704 31142832874400 32388546189376 33538435403200 34879972819328 35424972394630 36985289286400 38329640460800 40485682736720 43599966024160 49828532599040 50607103420900 53661496645120 54499957530200 56679955831408 62285665748800 64777092378752 67076870806400 69759945638656 70849944789260 73970578572800 80971365473440 87199932048320 88562430986575 99657065198080 101214206841800 108999915060400 113359911662816 124571331497600 129554184757504 134153741612800 139519891277312 141699889578520 161942730946880 174399864096640 177124861973150 202428413683600 217999830120800 226719823325632 249142662995200 259108369515008 268307483225600 283399779157040 323885461893760 348799728193280 354249723946300 404856827367200 435999660241600 453439646651264 498285325990400 566799558314080 647770923787520 697599456386560 708499447892600 809713654734400 871999320483200 906879293302528 1133599116628160 1295541847575040 1416998895785200 1619427309468800 1743998640966400 1813758586605056 2267198233256320 2833997791570400 3238854618937600 3487997281932800 4534396466512640 5667995583140800 6477709237875200 9068792933025280 11335991166281600 22671982332563200 45343964665126400
• Sum of all divisors σ(n): 139313995381545600
• Sum of proper divisors (its aliquot sum) s(n): 93970030716419200
• 45343964665126400 is an abundant number, because the sum of its proper divisors (93970030716419200) is greater than itself. Its abundance is 48626066051292800

Bases of 45343964665126400

• Binary: 10100001000110000001100001111010100100101001111000000000₂
• Hexadecimal: 0xA118187A929E00
• Base-36: CEH3DSN54OW

Squares and roots of 45343964665126400

• 45343964665126400 squared (45343964665126400²) is 2056075131552231516492327976960000
• 45343964665126400 cubed (45343964665126400³) is 93230598113949500382355686594549804374687744000000
• The square root of 45343964665126400 is 212941223.4987072671
• The cube root of 45343964665126400 is 356593.2871778661

Scales and comparisons

• 45,343,964,665,126,400 seconds is equal to 1,441,797,818 years, 13 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 45,343,964,665,126,400 would take you about four billion, three hundred twenty-five million, three hundred ninety-three thousand, four hundred fifty-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 45343964665126400 cubic inches would be around 29716.1 feet tall.

Recreational maths with 45343964665126400

• 45343964665126400 backwards is 00462156646934354
• The number of decimal digits it has is: 17
• The sum of 45343964665126400's digits is 68
• More coming soon!