84138294975135744
84,138,294,975,135,744 is an even composite number composed of five prime numbers multiplied together.
84138294975135744 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 84138294975135744:
229 × 3 × 73 × 173 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 84138294975135744 from the Numbermatics database.
Names of 84138294975135744
- Cardinal: 84138294975135744 can be written as Eighty-four quadrillion, one hundred thirty-eight trillion, two hundred ninety-four billion, nine hundred seventy-five million, one hundred thirty-five thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 8.4138294975135744 × 1016
Factors of 84138294975135744
Divisors of 84138294975135744
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 32 34 42 48 49 51 56 62 64 68 84 93 96 98 102 112 119 124 128 136 147 168 186 192 196 204 217 224 238 248 256 272 289 294 336 343 357 372 384 392 408 434 448 476 496 512 527 544 578 588 651 672 686 714 744 768 784 816 833 867 868 896 952 992 1024 1029 1054 1088 1156 1176 1302 1344 1372 1428 1488 1519 1536 1568 1581 1632 1666 1734 1736 1792 1904 1984 2023 2048 2058 2108 2176 2312 2352 2499 2604 2688 2744 2856 2976 3038 3072 3136 3162 3264 3332 3468 3472 3584 3689 3808 3968 4046 4096 4116 4216 4352 4557 4624 4704 4913 4998 5208 5376 5488 5712 5831 5952 6069 6076 6144 6272 6324 6528 6664 6936 6944 7168 7378 7616 7936 8092 8192 8232 8432 8704 8959 9114 9248 9408 9826 9996 10416 10633 10752 10976 11067 11424 11662 11904 12138 12152 12288 12544 12648 13056 13328 13872 13888 14161 14336 14739 14756 15232 15872 16184 16384 16464 16864 17408 17493 17918 18228 18496 18816 19652 19992 20832 21266 21504 21952 22134 22848 23324 23808 24276 24304 24576 25088 25296 25823 26112 26656 26877 27744 27776 28322 28672 29478 29512 30464 31744 31899 32368 32768 32928 33728 34391 34816 34986 35836 36456 36992 37632 39304 39984 41664 42483 42532 43008 43904 44268 45696 46648 47616 48552 48608 49152 50176 50592 51646 52224 53312 53754 55488 55552 56644 57344 58956 59024 60928 62713 63488 63798 64736 65536 65856 67456 68782 69632 69972 71672 72912 73984 75264 77469 78608 79968 83328 84966 85064 86016 87808 88536 91392 93296 95232 97104 97216 98304 99127 100352 101184 103173 103292 104448 106624 107508 110976 111104 113288 114688 117912 118048 121856 125426 126976 127596 129472 131072 131712 134912 137564 139264 139944 143344 145824 147968 150528 152303 154938 157216 159936 166656 169932 170128 172032 175616 177072 180761 182784 186592 188139 190464 194208 194432 196608 198254 200704 202368 206346 206584 208896 213248 215016 221952 222208 226576 229376 235824 236096 240737 243712 250852 253952 255192 258944 262144 263424 269824 275128 278528 279888 286688 291648 295936 297381 301056 304606 309876 314432 319872 333312 339864 340256 344064 351232 354144 361522 365568 373184 376278 380928 388416 388864 393216 396508 401408 404736 412692 413168 417792 426496 430032 438991 443904 444416 453152 456909 458752 471648 472192 481474 487424 501704 507904 510384 517888 524288 526848 539648 542283 550256 557056 559776 573376 583296 591872 594762 602112 609212 619752 628864 639744 666624 679728 680512 688128 702464 708288 722211 723044 731136 746368 752556 761856 776832 777728 786432 793016 802816 809472 825384 826336 835584 852992 860064 877982 887808 888832 906304 913818 917504 943296 944384 962948 974848 1003408 1015808 1020768 1035776 1048576 1053696 1066121 1079296 1084566 1100512 1114112 1119552 1146752 1166592 1183744 1189524 1204224 1218424 1239504 1257728 1279488 1316973 1333248 1359456 1361024 1376256 1404928 1416576 1444422 1446088 1462272 1492736 1505112 1523712 1553664 1555456 1572864 1586032 1605632 1618944 1650768 1652672 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122271285248 123639693312 123782299648 126215520256 131518693376 133794103296 135761231872 138110042112 139738611712 141465485312 142156234752 144246308864 146741919744 150307078144 151040999424 152907546624 155155693568 155913289728 159701270528 160481061888 162464268288 164852924416 165657870336 167705051136 172618285056 174751481856 178186616832 178392137728 183406927872 184146722816 185673449472 189323280384 189541646336 191662915584 195655892992 197278040064 201387999232 203641847808 203876728832 207884386304 209607917568 212198227968 213974749184 216369463296 216619024384 220877160448 223606734848 225460617216 230157713408 232733540352 237582155776 239551905792 244542570496 247279386624 247564599296 252431040512 263037386752 267588206592 271522463744 276220084224 279477223424 282930970624 284312469504 288492617728 293483839488 300614156288 302081998848 305815093248 311826579456 319402541056 320962123776 324928536576 329705848832 331315740672 335410102272 345236570112 349502963712 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1117908893696 1137249878016 1153970470912 1173935357952 1202456625152 1208327995392 1223260372992 1247306317824 1277610164224 1283848495104 1299714146304 1318823395328 1325262962688 1341640409088 1380946280448 1425492934656 1427137101824 1467255422976 1485387595776 1514586243072 1516333170688 1565247143936 1578224320512 1611103993856 1629134782464 1663075090432 1676863340544 1711797993472 1730955706368 1732952195072 1767017283584 1803684937728 1841261707264 1900657246208 1916415246336 1956340563968 1978235092992 1980516794368 2019448324096 2104299094016 2140705652736 2235817787392 2274499756032 2307940941824 2347870715904 2404913250304 2416655990784 2446520745984 2494612635648 2555220328448 2567696990208 2599428292608 2637646790656 2650525925376 2761892560896 2850985869312 2854274203648 2934510845952 2970775191552 3029172486144 3032666341376 3130494287872 3156448641024 3222207987712 3258269564928 3326150180864 3353726681088 3423595986944 3461911412736 3465904390144 3534034567168 3607369875456 3682523414528 3801314492416 3832830492672 3912681127936 3956470185984 4038896648192 4208598188032 4281411305472 4471635574784 4548999512064 4615881883648 4695741431808 4809826500608 4833311981568 4989225271296 5110440656896 5135393980416 5198856585216 5301051850752 5523785121792 5701971738624 5708548407296 5869021691904 5941550383104 6058344972288 6065332682752 6312897282048 6444415975424 6652300361728 6707453362176 6847191973888 6923822825472 6931808780288 7068069134336 7214739750912 7365046829056 7602628984832 7665660985344 7825362255872 7912940371968 8077793296384 8417196376064 8562822610944 8943271149568 9097999024128 9231763767296 9391482863616 9666623963136 9978450542592 10220881313792 10270787960832 10397713170432 10602103701504 11047570243584 11403943477248 11738043383808 12116689944576 12130665365504 12625794564096 12888831950848 13304600723456 13414906724352 13694383947776 13847645650944 13863617560576 14136138268672 14429479501824 14730093658112 15331321970688 15650724511744 16155586592768 16834392752128 17125645221888 17886542299136 18195998048256 18463527534592 19333247926272 19956901085184 20441762627584 20541575921664 20795426340864 21204207403008 22095140487168 22807886954496 23476086767616 24233379889152 24261330731008 25251589128192 25777663901696 26609201446912 26829813448704 27388767895552 27695291301888 28272276537344 29460187316224 30662643941376 31301449023488 32311173185536 33668785504256 35773084598272 36391996096512 38666495852544 39913802170368 40883525255168 41083151843328 41590852681728 42408414806016 44190280974336 46952173535232 48466759778304 48522661462016 50503178256384 51555327803392 53218402893824 53659626897408 54777535791104 55390582603776 56544553074688 58920374632448 61325287882752 62602898046976 64622346371072 71546169196544 72783992193024 77332991705088 79827604340736 81767050510336 82166303686656 84816829612032 88380561948672 93904347070464 96933519556608 97045322924032 101006356512768 103110655606784 107319253794816 109555071582208 113089106149376 117840749264896 122650575765504 125205796093952 129244692742144 143092338393088 145567984386048 154665983410176 159655208681472 164332607373312 169633659224064 176761123897344 187808694140928 193867039113216 206221311213568 214638507589632 219110143164416 226178212298752 235681498529792 245301151531008 250411592187904 286184676786176 291135968772096 309331966820352 328665214746624 339267318448128 353522247794688 375617388281856 387734078226432 412442622427136 429277015179264 438220286328832 452356424597504 500823184375808 572369353572352 618663933640704 657330429493248 678534636896256 707044495589376 751234776563712 824885244854272 858554030358528 876440572657664 904712849195008 1001646368751616 1237327867281408 1314660858986496 1357069273792512 1502469553127424 1649770489708544 1717108060717056 1752881145315328 2003292737503232 2474655734562816 2629321717972992 2714138547585024 3004939106254848 3505762290630656 4006585475006464 4949311469125632 5258643435945984 6009878212509696 7011524581261312 10517286871891968 12019756425019392 14023049162522624 21034573743783936 28046098325045248 42069147487567872 84138294975135744
- Sum of all divisors σ(n): 286972534582272000
- Sum of proper divisors (its aliquot sum) s(n): 202834239607136256
- 84138294975135744 is an abundant number, because the sum of its proper divisors (202834239607136256) is greater than itself. Its abundance is 118695944632000512
Bases of 84138294975135744
- Binary: 1001010101110101101010101011000000000000000000000000000002
- Hexadecimal: 0x12AEB5560000000
- Base-36: N0GJB3TSNPC
Squares and roots of 84138294975135744
- 84138294975135744 squared (841382949751357442) is 7079252681322952788051191226433536
- 84138294975135744 cubed (841382949751357443) is 595636250304671240995023285713058090102122593910784
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The
square root of 84138294975135744 is 290066018.3046882589 -
The
cube root of 84138294975135744 is 438192.1256599497
Scales and comparisons
How big is 84138294975135744?- 84,138,294,975,135,744 seconds is equal to 2,675,337,523 years, 19 weeks, 3 days, 12 hours, 22 minutes, 24 seconds.
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To count from 1 to 84,138,294,975,135,744 would take you about eight billion, twenty-six million, twelve thousand, five hundred seventy 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 84138294975135744 cubic inches would be around 36516 feet tall.
Recreational maths with 84138294975135744
- 84138294975135744 backwards is 44753157949283148
- 84138294975135744 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 84138294975135744's digits is 84
- More coming soon!
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The information we have on file for 84138294975135744 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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