146399786707328000

Names of 146399786707328000

• Cardinal: 146399786707328000 can be written as One hundred forty-six quadrillion, three hundred ninety-nine trillion, seven hundred eighty-six billion, seven hundred seven million, three hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.46399786707328 × 10¹⁷

Factors of 146399786707328000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 65510

Divisors of 146399786707328000

• Number of divisors d(n): 1408
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 43 44 50 55 56 64 70 77 80 86 88 100 110 112 125 128 140 154 160 172 175 176 200 215 220 224 250 256 275 280 301 308 320 344 350 352 385 400 430 440 448 473 500 512 550 560 602 616 640 688 700 704 770 800 860 875 880 896 946 1000 1024 1075 1100 1120 1204 1232 1280 1375 1376 1400 1408 1505 1540 1600 1720 1750 1760 1792 1892 1925 2000 2150 2200 2240 2365 2408 2464 2560 2750 2752 2800 2816 3010 3080 3200 3311 3440 3500 3520 3584 3784 3850 4000 4300 4400 4480 4730 4816 4928 5120 5375 5500 5504 5600 5632 5791 6020 6160 6400 6622 6880 7000 7040 7168 7525 7568 7700 8000 8600 8800 8960 9460 9625 9632 9856 10750 11000 11008 11200 11264 11582 11825 12040 12320 12800 13244 13760 14000 14080 15050 15136 15400 16000 16555 17200 17600 17920 18920 19250 19264 19712 21500 22000 22016 22400 23164 23650 24080 24640 25600 26488 27520 28000 28160 28955 30100 30272 30800 32000 33110 34400 35200 35840 37625 37840 38500 38528 39424 40537 43000 44000 44032 44800 46328 47300 48160 49280 52976 55040 56000 56320 57910 59125 59651 60200 60544 61600 63701 64000 66220 68800 70400 75250 75680 77000 77056 78848 81074 82775 86000 88000 89600 92656 94600 96320 98560 105952 110080 112000 115820 118250 119302 120400 121088 123200 127402 128000 132440 137600 140800 144775 150500 151360 154000 154112 162148 165550 172000 176000 179200 185312 189200 192640 197120 202685 211904 220160 224000 231640 236500 238604 240800 242176 246400 249013 254804 264880 275200 281600 289550 298255 301000 302720 308000 308224 318505 324296 331100 344000 352000 370624 378400 385280 394240 405370 413875 417557 423808 445907 448000 463280 473000 477208 481600 484352 492800 498026 509608 529760 550400 579100 596510 602000 605440 616000 637010 648592 656161 662200 688000 704000 723875 741248 756800 770560 810740 827750 835114 847616 891814 896000 926560 946000 954416 963200 985600 996052 1013425 1019216 1059520 1100800 1158200 1193020 1204000 1210880 1232000 1245065 1274020 1297184 1312322 1324400 1376000 1408000 1447750 1482496 1491275 1513600 1541120 1592525 1621480 1655500 1670228 1695232 1743091 1783628 1853120 1892000 1908832 1926400 1971200 1992104 2026850 2038432 2087785 2119040 2229535 2316400 2386040 2408000 2421760 2464000 2490130 2548040 2564993 2594368 2624644 2648800 2739143 2752000 2895500 2964992 2982550 3027200 3185050 3242960 3280805 3311000 3340456 3390464 3486182 3567256 3706240 3784000 3817664 3852800 3984208 4053700 4076864 4175570 4238080 4459070 4593127 4632800 4772080 4816000 4928000 4980260 5067125 5096080 5129986 5188736 5249288 5297600 5478286 5504000 5791000 5929984 5965100 6054400 6225325 6370100 6485920 6561610 6622000 6680912 6972364 7134512 7412480 7456375 7568000 7635328 7705600 7962625 7968416 8107400 8153728 8351140 8476160 8715455 8918140 9186254 9265600 9544160 9632000 9856000 9960520 10134250 10192160 10259972 10377472 10438925 10498576 10595200 10956572 11147675 11582000 11930200 12108800 12450650 12740200 12824965 12971840 13123220 13244000 13361824 13695715 13944728 14269024 14824960 14912750 15136000 15270656 15925250 15936832 16214800 16307456 16404025 16702280 16952320 17430910 17836280 17954951 18372508 18531200 19088320 19174001 19264000 19921040 20268500 20384320 20519944 20754944 20877850 20997152 21190400 21913144 22295350 22965635 23164000 23860400 24901300 25480400 25649930 25943680 26246440 26488000 26723648 27391430 27889456 28214923 28538048 29649920 29825500 30272000 30541312 31126625 31850500 31873664 32429600 32614912 32808050 33404560 34861820 35672560 35909902 36745016 37062400 38176640 38348002 38528000 39842080 40537000 40768640 41039888 41509888 41755700 41994304 42380800 43577275 43826288 44590700 45931270 46328000 47720800 49802600 50960800 51299860 51887360 52194625 52492880 52976000 53447296 54782860 55738375 55778912 56429846 57076096 59651000 60544000 61082624 62253250 63701000 63747328 64124825 64859200 65229824 65616100 66809120 68478575 69723640 71345120 71819804 73490032 74124800 76353280 76696004 79684160 81074000 81537280 82020125 82079776 83511400 83988608 84761600 87154550 87652576 89181400 89774755 91862540 92656000 95441600 95870005 99605200 101921600 102599720 103774720 104389250 104985760 105952000 106894592 109565720 111476750 111557824 112859692 114152192 114828175 119302000 124506500 127402000 127494656 128249650 129718400 131232200 133618240 136957150 139447280 141074615 142690240 143639608 146980064 148249600 152706560 153392008 159368320 162148000 163074560 164040250 164159552 167022800 167977216 174309100 175305152 178362800 179549510 183725080 185312000 190883200 191740010 197504461 199210400 203843200 205199440 207549440 208778500 209971520 211904000 213789184 217886375 219131440 222953500 223115648 225719384 228304384 229656350 238604000 249013000 254804000 254989312 256499300 259436800 262464400 267236480 273914300 278894560 282149230 285380480 287279216 293960128 305413120 306784016 318736640 320624125 324296000 326149120 328080500 328319104 334045600 335954432 342392875 345438941 348618200 350610304 356725600 359099020 367450160 370624000 381766400 383480020 395008922 398420800 407686400 410398880 417557000 419943040 423808000 427578368 435772750 438262880 445907000 446231296 448873775 451438768 456608768 459312700 477208000 479350025 498026000 509608000 512998600 518873600 524928800 534472960 547828600 557789120 564298460 570760960 574140875 574558432 587920256 613568032 637473280 641248250 648592000 656161000 656638208 668091200 671908864 684785750 690877882 697236400 701220608 705373075 713451200 718198040 734900320 741248000 763532800 766960040 790017844 796841600 815372800 820797760 835114000 839886080 871545500 876525760 891814000 892462592 897747550 902877536 918625400 954416000 958700050 987522305 996052000 1019216000 1025997200 1037747200 1049857600 1068945920 1095657200 1115578240 1128596920 1141521920 1148281750 1149116864 1175840512 1227136064 1274946560 1282496500 1297184000 1312322000 1313276416 1336182400 1369571500 1381755764 1394472800 1402441216 1410746150 1426902400 1436396080 1469800640 1527065600 1533920080 1580035688 1593683200 1630745600 1641595520 1670228000 1679772160 1727194705 1743091000 1753051520 1783628000 1784925184 1795495100 1805755072 1837250800 1908832000 1917400100 1975044610 1992104000 2038432000 2051994400 2099715200 2137891840 2191314400 2231156480 2244368875 2257193840 2283043840 2296563500 2298233728 2351681024 2396750125 2418072587 2454272128 2564993000 2594368000 2624644000 2626552832 2672364800 2739143000 2763511528 2788945600 2804882432 2821492300 2853804800 2872792160 2939601280 3067840160 3160071376 3187366400 3283191040 3340456000 3359544320 3454389410 3486182000 3506103040 3526865375 3567256000 3590990200 3611510144 3674501600 3799828351 3817664000 3834800200 3950089220 3984208000 4076864000 4103988800 4199430400 4382628800 4462312960 4488737750 4514387680 4593127000 4596467456 4703362048 4793500250 4836145174 4908544256 4937611525 5129986000 5188736000 5249288000 5344729600 5478286000 5527023056 5577891200 5642984600 5707609600 5745584320 5879202560 6135680320 6320142752 6374732800 6566382080 6680912000 6908778820 6972364000 7012206080 7053730750 7134512000 7181980400 7223020288 7349003200 7599656702 7635328000 7669600400 7900178440 7968416000 8153728000 8207977600 8398860800 8635973525 8765257600 8924625920 8977475500 9028775360 9186254000 9192934912 9587000500 9672290348 9817088512 9875223050 10259972000 10498576000 10689459200 10956572000 11054046112 11155782400 11285969200 11415219200 11491168640 11758405120 12090362935 12271360640 12640285504 13132764160 13361824000 13817557640 13944728000 14024412160 14107461500 14269024000 14363960800 14446040576 14698006400 14853874463 15199313404 15339200800 15800356880 15936832000 16415955200 16797721600 17271947050 17530515200 17954951000 18057550720 18372508000 18385869824 18999141755 19174001000 19344580696 19634177024 19750446100 20519944000 20997152000 21913144000 22108092224 22311564800 22571938400 22982337280 23516810240 24180725870 24542721280 24688057625 25280571008 26598798457 26723648000 27635115280 27889456000 28214923000 28538048000 28727921600 28892081152 29396012800 29707748926 30398626808 30678401600 31600713760 31873664000 32831910400 34543894100 35061030400 35909902000 36115101440 36745016000 37998283510 38348002000 38689161392 39500892200 41039888000 41994304000 43179867625 43826288000 44216184448 44623129600 45143876800 45964674560 48361451740 49085442560 49376115250 50561142016 53197596914 53447296000 55270230560 55778912000 56429846000 57076096000 57455843200 58792025600 59415497852 60451814675 60797253616 61356803200 63201427520 65663820800 69087788200 70122060800 71819804000 72230202880 73490032000 74269372315 75996567020 76696004000 77378322784 79001784400 82079776000 83988608000 86359735250 87652576000 88432368896 90287753600 91929349120 94995708775 96722903480 98170885120 98752230500 101122284032 103977121241 106395193828 110540461120 111557824000 112859692000 114911686400 117584051200 118830995704 120903629350 121594507232 122713606400 126402855040 132993992285 138175576400 143639608000 144460405760 146980064000 148538744630 151993134040 153392008000 154756645568 158003568800 163392619093 164159552000 172719470500 175305152000 176864737792 180575507200 189991417550 193445806960 197504461000 202244568064 207954242482 212790387656 221080922240 223115648000 225719384000 229823372800 237661991408 241807258700 243189014464 245427212800 252805710080 265987984570 276351152800 287279216000 293960128000 297077489260 302259073375 303986268080 306784016000 309513291136 316007137600 326785238186 328319104000 345438941000 350610304000 353729475584 361151014400 371346861575 379982835100 386891613920 395008922000 415908484964 425580775312 442161844480 451438768000 459646745600 474978543875 475323982816 483614517400 486378028928 490854425600 505611420160 519885606205 531975969140 552702305600 574558432000 587920256000 594154978520 604518146750 607972536160 613568032000 619026582272 632014275200 653570476372 664969961425 690877882000 722302028800 742693723150 759965670200 773783227840 790017844000 816963095465 831816969928 851161550624 884323688960 902877536000 949957087750 950647965632 967229034800 972756057856 1011222840320 1039771212410 1063951938280 1105404611200 1143748333651 1149116864000 1188309957040 1209036293500 1215945072320 1227136064000 1238053164544 1264028550400 1307140952744 1329939922850 1381755764000 1485387446300 1519931340400 1547566455680 1580035688000 1633926190930 1663633939856 1702323101248 1768647377920 1805755072000 1856734307875 1899914175500 1901295931264 1934458069600 1945512115712 2079542424820 2127903876560 2210809222400 2287496667302 2298233728000 2376619914080 2418072587000 2431890144640 2454272128000 2476106329088 2528057100800 2599428031025 2614281905488 2659879845700 2763511528000 2970774892600 3039862680800 3095132911360 3160071376000 3267852381860 3324849807125 3327267879712 3404646202496 3611510144000 3713468615750 3799828351000 3802591862528 3868916139200 3891024231424 4084815477325 4159084849640 4255807753120 4421618444800 4574993334604 4753239828160 4836145174000 4863780289280 5056114201600 5198856062050 5228563810976 5319759691400 5527023056000 5718741668255 5941549785200 6079725361600 6190265822720 6320142752000 6535704763720 6649699614250 6654535759424 6809292404992 7426937231500 7599656702000 7605183725056 7737832278400 8169630954650 8318169699280 8511615506240 8843236889600 9149986669208 9506479656320 9672290348000 9727560578560 10397712124100 10457127621952 10639519382800 11054046112000 11437483336510 11883099570400 12159450723200 12380531645440 12640285504000 12997140155125 13071409527440 13299399228500 13309071518848 13618584809984 14853874463000 15199313404000 15210367450112 15475664556800 16339261909300 16636339398560 17023231012480 18299973338416 19012959312640 19344580696000 19455121157120 20424077386625 20795424248200 20914255243904 21279038765600 22108092224000 22874966673020 23766199140800 24318901446400 25280571008000 25994280310250 26142819054880 26598798457000 26618143037696 27237169619968 28593708341275 29707748926000 30398626808000 30951329113600 32678523818600 33272678797120 34046462024960 36599946676832 38025918625280 38689161392000 40848154773250 41590848496400 41828510487808 42558077531200 44216184448000 45749933346040 47532398281600 48637802892800 51988560620500 52285638109760 53197596914000 53236286075392 57187416682550 59415497852000 60797253616000 61902658227200 65357047637200 66545357594240 68092924049920 73199893353664 76051837250560 77378322784000 81696309546500 83181696992800 83657020975616 85116155062400 91499866692080 95064796563200 97275605785600 103977121241000 104571276219520 106395193828000 106472572150784 114374833365100 118830995704000 121594507232000 130714095274400 133090715188480 136185848099840 142968541706375 146399786707328 154756645568000 163392619093000 166363393985600 167314041951232 170232310124800 182999733384160 190129593126400 207954242482000 209142552439040 212790387656000 228749666730200 237661991408000 243189014464000 261428190548800 266181430376960 285937083412750 292799573414656 309513291136000 326785238186000 332726787971200 340464620249600 365999466768320 380259186252800 415908484964000 418285104878080 425580775312000 457499333460400 475323982816000 486378028928000 522856381097600 532362860753920 571874166825500 585599146829312 653570476372000 665453575942400 680929240499200 731998933536640 831816969928000 836570209756160 851161550624000 914998666920800 950647965632000 1045712762195200 1143748333651000 1171198293658624 1307140952744000 1330907151884800 1463997867073280 1663633939856000 1702323101248000 1829997333841600 1901295931264000 2091425524390400 2287496667302000 2614281905488000 2661814303769600 2927995734146560 3327267879712000 3404646202496000 3659994667683200 4182851048780800 4574993334604000 5228563810976000 5855991468293120 6654535759424000 7319989335366400 9149986669208000 10457127621952000 13309071518848000 14639978670732800 18299973338416000 20914255243904000 29279957341465600 36599946676832000 73199893353664000 146399786707328000
• Sum of all divisors σ(n): 466036479539085312
• Sum of proper divisors (its aliquot sum) s(n): 319636692831757312
• 146399786707328000 is an abundant number, because the sum of its proper divisors (319636692831757312) is greater than itself. Its abundance is 173236906124429312

Bases of 146399786707328000

• Binary: 1000001000000111011101010010010001111000100001110000000000₂
• Hexadecimal: 0x2081DD491E21C00
• Base-36: 141IE5JN2BY8

Squares and roots of 146399786707328000

• 146399786707328000 squared (146399786707328000²) is 21432897547951132163928899584000000
• 146399786707328000 cubed (146399786707328000³) is 3137771629540059044054086229560589708951552000000000
• The square root of 146399786707328000 is 382622250.6694141539
• The cube root of 146399786707328000 is 527043.9285014847

Scales and comparisons

• 146,399,786,707,328,000 seconds is equal to 4,655,060,373 years, 1 week, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 146,399,786,707,328,000 would take you about thirteen billion, nine hundred sixty-five million, one hundred eighty-one thousand, one hundred nineteen 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 146399786707328000 cubic inches would be around 43920.3 feet tall.

Recreational maths with 146399786707328000

• 146399786707328000 backwards is 000823707687993641
• 146399786707328000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146399786707328000's digits is 80
• More coming soon!