27741896864432128

Names of 27741896864432128

• Cardinal: 27741896864432128 can be written as Twenty-seven quadrillion, seven hundred forty-one trillion, eight hundred ninety-six billion, eight hundred sixty-four million, four hundred thirty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 2.7741896864432128 × 10¹⁶

Factors of 27741896864432128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 112

Divisors of 27741896864432128

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 41 43 56 64 76 82 86 112 128 133 152 164 172 224 256 266 287 301 304 328 344 448 512 532 574 602 608 656 688 779 817 896 1024 1064 1148 1204 1216 1312 1376 1558 1634 1681 1763 1792 1849 2048 2128 2296 2408 2432 2624 2752 3116 3268 3362 3526 3584 3698 4096 4256 4592 4816 4864 5248 5453 5504 5719 6232 6536 6724 7052 7168 7396 8192 8512 9184 9632 9728 10496 10906 11008 11438 11767 12341 12464 12943 13072 13448 14104 14336 14792 16384 17024 18368 19264 19456 20992 21812 22016 22876 23534 24682 24928 25886 26144 26896 28208 28672 29584 31939 32768 33497 34048 35131 36736 38528 38912 41984 43624 44032 45752 47068 49364 49856 51772 52288 53792 56416 57344 59168 63878 65536 66994 68096 70262 72283 73472 75809 77056 77824 83968 87248 88064 91504 94136 98728 99712 103544 104576 107584 112832 114688 118336 127756 131072 133988 136192 140524 144566 146944 151618 154112 155648 167936 174496 176128 183008 188272 197456 199424 207088 209152 215168 223573 225664 229376 234479 236672 245917 255512 262144 267976 272384 281048 289132 293888 303236 308224 311296 335872 348992 352256 366016 376544 394912 398848 414176 418304 430336 447146 451328 458752 468958 473344 491834 505981 511024 524288 530663 535952 544768 562096 578264 587776 606472 616448 622592 671744 697984 704512 732032 753088 789824 797696 828352 836608 860672 894292 902656 917504 937916 946688 983668 1011962 1022048 1048576 1061326 1071904 1089536 1124192 1156528 1175552 1212944 1232896 1245184 1343488 1373377 1395968 1409024 1440371 1464064 1506176 1579648 1595392 1656704 1673216 1721344 1788584 1805312 1835008 1875832 1893376 1967336 2023924 2044096 2097152 2122652 2143808 2179072 2248384 2313056 2351104 2425888 2465792 2490368 2686976 2746754 2791936 2818048 2880742 2928128 3012352 3108169 3159296 3190784 3313408 3346432 3442688 3577168 3610624 3670016 3751664 3786752 3934672 4047848 4088192 4194304 4245304 4287616 4358144 4496768 4626112 4702208 4851776 4931584 4980736 5373952 5493508 5583872 5636096 5761484 5856256 6024704 6216338 6318592 6381568 6626816 6692864 6885376 7154336 7221248 7340032 7503328 7573504 7869344 8095696 8176384 8388608 8490608 8575232 8716288 8993536 9252224 9404416 9613639 9703552 9863168 9961472 10082597 10747904 10987016 11167744 11272192 11522968 11712512 12049408 12432676 12637184 12763136 13253632 13385728 13770752 14308672 14442496 14680064 15006656 15147008 15738688 16191392 16352768 16777216 16981216 17150464 17432576 17987072 18504448 18808832 19227278 19407104 19726336 19922944 20165194 21495808 21757183 21974032 22335488 22544384 23045936 23425024 24098816 24865352 25274368 25526272 26507264 26771456 27541504 28617344 28884992 29360128 30013312 30294016 31477376 32382784 32705536 33554432 33962432 34300928 34865152 35974144 37008896 37617664 38454556 38814208 39452672 39845888 40330388 42991616 43514366 43948064 44670976 45088768 46091872 46850048 48197632 49730704 50548736 51052544 53014528 53542912 55083008 57234688 57769984 58720256 59055211 60026624 60588032 62954752 64765568 65411072 67108864 67924864 68601856 69730304 71948288 74017792 75235328 76909112 77628416 78905344 79691776 80660776 85983232 87028732 87896128 89341952 90177536 92183744 93700096 96395264 99461408 101097472 102105088 106029056 107085824 110166016 114469376 115539968 117440512 118110422 120053248 121176064 125909504 129531136 130822144 135849728 137203712 139460608 143896576 148035584 150470656 153818224 155256832 157810688 159383552 161321552 171966464 174057464 175792256 178683904 180355072 184367488 187400192 192790528 198922816 202194944 204210176 212058112 214171648 220332032 228938752 231079936 234881024 236220844 240106496 242352128 251819008 259062272 261644288 271699456 274407424 278921216 287793152 296071168 300941312 307636448 310513664 315621376 318767104 322643104 343932928 348114928 351584512 357367808 360710144 368734976 374800384 385581056 397845632 404389888 408420352 413386477 424116224 428343296 440664064 457877504 462159872 469762048 472441688 480212992 484704256 503638016 518124544 523288576 543398912 548814848 557842432 575586304 592142336 601882624 615272896 621027328 631242752 637534208 645286208 687865856 696229856 703169024 714735616 721420288 737469952 749600768 771162112 795691264 808779776 816840704 826772954 848232448 856686592 881328128 915755008 924319744 944883376 960425984 969408512 1007276032 1036249088 1046577152 1086797824 1097629696 1115684864 1151172608 1184284672 1203765248 1230545792 1242054656 1262485504 1275068416 1290572416 1375731712 1392459712 1406338048 1429471232 1442840576 1474939904 1499201536 1542324224 1591382528 1617559552 1633681408 1653545908 1696464896 1713373184 1762656256 1831510016 1848639488 1889766752 1920851968 1938817024 2014552064 2072498176 2093154304 2173595648 2195259392 2231369728 2302345216 2368569344 2407530496 2461091584 2484109312 2524971008 2581144832 2751463424 2784919424 2812676096 2858942464 2885681152 2949879808 2998403072 3084648448 3182765056 3235119104 3267362816 3307091816 3392929792 3426746368 3525312512 3663020032 3697278976 3779533504 3841703936 3877634048 4029104128 4144996352 4186308608 4347191296 4390518784 4462739456 4604690432 4737138688 4815060992 4922183168 4968218624 5049942016 5162289664 5569838848 5625352192 5717884928 5899759616 5996806144 6169296896 6365530112 6470238208 6534725632 6614183632 6785859584 6853492736 7050625024 7326040064 7394557952 7559067008 7683407872 7755268096 8058208256 8289992704 8372617216 8694382592 8781037568 8925478912 9209380864 9474277376 9630121984 9844366336 9936437248 10099884032 10324579328 11139677696 11250704384 11435769856 11799519232 11993612288 12338593792 12731060224 12940476416 13069451264 13228367264 13571719168 13706985472 14101250048 14652080128 14789115904 15118134016 15366815744 15510536192 16116416512 16579985408 16745234432 17388765184 17562075136 18418761728 18948554752 19260243968 19688732672 19872874496 20199768064 20649158656 22279355392 22501408768 22871539712 23599038464 23987224576 24677187584 25462120448 25880952832 26138902528 26456734528 27143438336 27413970944 28202500096 29304160256 29578231808 30236268032 30733631488 31021072384 32232833024 33159970816 33490468864 34777530368 35124150272 36837523456 37897109504 39377465344 39745748992 41298317312 44558710784 45002817536 45743079424 47198076928 47974449152 49354375168 50924240896 51761905664 52277805056 52913469056 54286876672 54827941888 56405000192 58608320512 59156463616 60472536064 61467262976 62042144768 64465666048 66319941632 66980937728 69555060736 70248300544 73675046912 75794219008 78754930688 79491497984 82596634624 89117421568 90005635072 91486158848 94396153856 95948898304 98708750336 101848481792 103523811328 105826938112 108573753344 112810000384 117216641024 118312927232 120945072128 122934525952 124084289536 128931332096 132639883264 133961875456 139110121472 140496601088 147350093824 151588438016 157509861376 158982995968 165193269248 178234843136 180011270144 182972317696 188792307712 191897796608 197417500672 203696963584 207047622656 211653876224 217147506688 234433282048 241890144256 245869051904 257862664192 265279766528 267923750912 278220242944 280993202176 294700187648 303176876032 315019722752 317965991936 330386538496 356469686272 360022540288 365944635392 377584615424 383795593216 394835001344 407393927168 414095245312 423307752448 434295013376 468866564096 483780288512 491738103808 515725328384 530559533056 535847501824 556440485888 561986404352 589400375296 606353752064 630039445504 635931983872 660773076992 712939372544 720045080576 755169230848 789670002688 814787854336 828190490624 846615504896 868590026752 937733128192 967560577024 983476207616 1031450656768 1061119066112 1071695003648 1112880971776 1123972808704 1178800750592 1212707504128 1260078891008 1271863967744 1321546153984 1425878745088 1440090161152 1510338461696 1629575708672 1693231009792 1875466256384 1935121154048 1966952415232 2062901313536 2122238132224 2143390007296 2225761943552 2247945617408 2357601501184 2425415008256 2520157782016 2543727935488 2643092307968 2851757490176 2880180322304 3020676923392 3259151417344 3386462019584 3750932512768 3870242308096 3933904830464 4125802627072 4244476264448 4451523887104 4850830016512 5040315564032 5087455870976 5286184615936 5703514980352 5760360644608 6041353846784 6518302834688 6772924039168 7501865025536 7740484616192 7867809660928 8251605254144 8488952528896 8903047774208 10080631128064 10572369231872 11407029960704 11520721289216 12082707693568 13036605669376 13545848078336 15003730051072 15480969232384 15735619321856 16503210508288 16977905057792 17806095548416 20161262256128 21144738463744 22814059921408 23041442578432 24165415387136 26073211338752 27091696156672 30961938464768 33955810115584 35612191096832 40322524512256 42289476927488 45628119842816 46082885156864 48330830774272 52146422677504 54183392313344 61923876929536 80645049024512 84578953854976 91256239685632 92165770313728 96661661548544 104292845355008 108366784626688 123847753859072 161290098049024 169157907709952 182512479371264 208585690710016 216733569253376 247695507718144 322580196098048 338315815419904 365024958742528 433467138506752 495391015436288 645160392196096 676631630839808 730049917485056 866934277013504 990782030872576 1460099834970112 1733868554027008 1981564061745152 3467737108054016 3963128123490304 6935474216108032 13870948432216064 27741896864432128
• Sum of all divisors σ(n): 70043163659928480
• Sum of proper divisors (its aliquot sum) s(n): 42301266795496352
• 27741896864432128 is an abundant number, because the sum of its proper divisors (42301266795496352) is greater than itself. Its abundance is 14559369931064224

Bases of 27741896864432128

• Binary: 1100010100011110001101110110100000000000000000000000000₂
• Hexadecimal: 0x628F1BB4000000
• Base-36: 7L5OJHAJ5DS

Squares and roots of 27741896864432128

• 27741896864432128 squared (27741896864432128²) is 769612841636789135312279918608384
• 27741896864432128 cubed (27741896864432128³) is 21350520078230340397979832350196328230376179761152
• The square root of 27741896864432128 is 166558989.1432825909
• The cube root of 27741896864432128 is 302722.9760588963

Scales and comparisons

• 27,741,896,864,432,128 seconds is equal to 882,106,508 years, 50 weeks, 2 days, 6 hours, 15 minutes, 28 seconds.
• To count from 1 to 27,741,896,864,432,128 would take you about two billion, six hundred forty-six million, three hundred nineteen thousand, five hundred twenty-six 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 27741896864432128 cubic inches would be around 25226.9 feet tall.

Recreational maths with 27741896864432128

• 27741896864432128 backwards is 82123446869814772
• 27741896864432128 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 27741896864432128's digits is 82
• More coming soon!