1028147076271177728

Names of 1028147076271177728

• Cardinal: 1028147076271177728 can be written as One quintillion, twenty-eight quadrillion, one hundred forty-seven trillion, seventy-six billion, two hundred seventy-one million, one hundred seventy-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.028147076271177728 × 10¹⁸

Factors of 1028147076271177728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 152

Divisors of 1028147076271177728

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 97 114 124 128 152 186 192 194 228 248 256 291 304 361 372 384 388 456 496 512 582 589 608 722 744 768 776 912 992 1024 1083 1164 1178 1216 1444 1488 1536 1552 1767 1824 1843 1984 2048 2166 2328 2356 2432 2888 2976 3007 3072 3104 3534 3648 3686 3968 4096 4332 4656 4712 4864 5529 5776 5952 6014 6144 6208 7068 7296 7372 7936 8192 8664 9021 9312 9409 9424 9728 11058 11191 11552 11904 12028 12288 12416 14136 14592 14744 15872 16384 17328 18042 18624 18818 18848 19456 22116 22382 23104 23808 24056 24576 24832 28227 28272 29184 29488 31744 32768 33573 34656 35017 36084 37248 37636 37696 38912 44232 44764 46208 47616 48112 49152 49664 56454 56544 57133 58368 58976 63488 65536 67146 69312 70034 72168 74496 75272 75392 77824 88464 89528 92416 95232 96224 98304 99328 105051 112908 113088 114266 116736 117952 126976 131072 134292 138624 140068 144336 148992 150544 150784 155648 171399 176928 178771 179056 184832 190464 192448 196608 198656 210102 225816 226176 228532 233472 235904 253952 262144 268584 277248 280136 288672 291679 297984 301088 301568 311296 342798 353856 357542 358112 369664 380928 384896 393216 397312 420204 451632 452352 457064 466944 471808 507904 524288 536313 537168 554496 560272 577344 583358 595968 602176 603136 622592 685596 707712 715084 716224 739328 761856 769792 786432 794624 840408 875037 903264 904704 912673 914128 933888 943616 1015808 1048576 1072626 1074336 1085527 1108992 1120544 1154688 1166716 1191936 1204352 1206272 1245184 1371192 1415424 1430168 1432448 1478656 1523712 1539584 1572864 1589248 1680816 1750074 1806528 1809408 1825346 1828256 1867776 1887232 2031616 2097152 2145252 2148672 2171054 2217984 2241088 2309376 2333432 2383872 2408704 2412544 2490368 2738019 2742384 2830848 2860336 2864896 2957312 3047424 3079168 3145728 3178496 3256581 3361632 3396649 3500148 3613056 3618816 3650692 3656512 3735552 3774464 4063232 4194304 4290504 4297344 4342108 4435968 4482176 4618752 4666864 4767744 4817408 4825088 4980736 5476038 5484768 5541901 5661696 5720672 5729792 5914624 6094848 6158336 6291456 6356992 6513162 6723264 6793298 7000296 7226112 7237632 7301384 7313024 7471104 7548928 8126464 8388608 8581008 8594688 8684216 8871936 8964352 9237504 9333728 9535488 9634816 9650176 9961472 10189947 10952076 10969536 11083802 11323392 11441344 11459584 11829248 12189696 12316672 12582912 12713984 13026324 13446528 13586596 14000592 14452224 14475264 14602768 14626048 14942208 15097856 16252928 16625703 16777216 17162016 17189376 17340787 17368432 17743872 17928704 18475008 18667456 19070976 19269632 19300352 19922944 20379894 21904152 21939072 22167604 22646784 22882688 22919168 23658496 24379392 24633344 25165824 25427968 26052648 26893056 27173192 28001184 28292863 28904448 28950528 29205536 29252096 29884416 30195712 32505856 33251406 33554432 34324032 34378752 34681574 34736864 35487744 35857408 36950016 37334912 38141952 38539264 38600704 39845888 40759788 43808304 43878144 44335208 45293568 45765376 45838336 47316992 48758784 49266688 50331648 50855936 52022361 52105296 53786112 54346384 56002368 56585726 57808896 57901056 58411072 58504192 59768832 60391424 65011712 66502812 68648064 68757504 69363148 69473728 70975488 71714816 73900032 74669824 76283904 77078528 77201408 79691776 81519576 84878589 87616608 87756288 88670416 90587136 91530752 91676672 94633984 97517568 98533376 100663296 101711872 104044722 104210592 105296119 107572224 108692768 112004736 113171452 115617792 115802112 116822144 117008384 119537664 120782848 130023424 133005624 137296128 137515008 138726296 138947456 141950976 143429632 147800064 149339648 152567808 154157056 154402816 159383552 163039152 169757178 175233216 175512576 177340832 181174272 183061504 183353344 189267968 195035136 197066752 203423744 208089444 208421184 210592238 215144448 217385536 224009472 226342904 231235584 231604224 233644288 234016768 239075328 241565696 260046848 266011248 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1317899812 1358057424 1401865728 1404100608 1418726656 1449394176 1464492032 1466826752 1514143744 1560281088 1576534016 1612693191 1627389952 1664715552 1667369472 1684737904 1721155584 1739084288 1792075776 1810743232 1849884672 1852833792 1869154304 1872134144 1912602624 1932525568 1976849718 2128089984 2150257588 2196738048 2200240128 2219620736 2223159296 2271215616 2294874112 2364801024 2389434368 2441084928 2466512896 2470445056 2527106856 2608626432 2635799624 2716114848 2803731456 2808201216 2837453312 2898788352 2928984064 2933653504 3028287488 3120562176 3153068032 3225386382 3254779904 3329431104 3334738944 3369475808 3442311168 3478168576 3584151552 3621486464 3699769344 3705667584 3738308608 3744268288 3865051136 3953699436 4256179968 4300515176 4393476096 4400480256 4439241472 4446318592 4542431232 4589748224 4729602048 4778868736 4882169856 4933025792 4940890112 5054213712 5217252864 5271599248 5432229696 5607462912 5616402432 5674906624 5797576704 5857968128 5867307008 6056574976 6306136064 6450772764 6658862208 6669477888 6738951616 6884622336 6956337152 7168303104 7242972928 7399538688 7411335168 7476617216 7488536576 7730102272 7907398872 8512359936 8601030352 8786952192 8800960512 8878482944 8892637184 9084862464 9179496448 9459204096 9557737472 9764339712 9866051584 9881780224 10108427424 10213723543 10434505728 10543198496 10864459392 11214925824 11232804864 11349813248 11595153408 11715936256 11734614016 12113149952 12612272128 12901545528 13317724416 13338955776 13477903232 13769244672 13912674304 14336606208 14485945856 14799077376 14822670336 14953234432 14977073152 15460204544 15814797744 17024719872 17202060704 17573904384 17601921024 17756965888 17785274368 18169724928 18358992896 18918408192 19115474944 19732103168 19763560448 20216854848 20427447086 20869011456 21086396992 21728918784 22429851648 22465609728 22699626496 23190306816 23431872512 23469228032 25224544256 25803091056 26635448832 26677911552 26955806464 27538489344 27825348608 28673212416 28971891712 29598154752 29645340672 29906468864 29954146304 30641170629 30920409088 31629595488 34049439744 34404121408 35147808768 35203842048 35513931776 35570548736 36339449856 36717985792 37836816384 38230949888 39464206336 40433709696 40854894172 41738022912 42172793984 43457837568 44859703296 44931219456 45399252992 46380613632 46863745024 46938456064 50449088512 51606182112 53270897664 53355823104 53911612928 55076978688 55650697216 57346424832 57943783424 59196309504 59290681344 59812937728 59908292608 61282341258 61840818176 63259190976 68098879488 68808242816 70295617536 70407684096 71027863552 71141097472 73435971584 75673632768 76461899776 78928412672 80867419392 81709788344 83476045824 84345587968 86915675136 89719406592 89862438912 90798505984 92761227264 93727490048 93876912128 100898177024 103212364224 106541795328 106711646208 107823225856 110153957376 111301394432 114692849664 115887566848 118392619008 119625875456 119816585216 122564682516 126518381952 136197758976 137616485632 140591235072 140815368192 142055727104 142282194944 146871943168 151347265536 152923799552 157856825344 161734838784 163419576688 166952091648 168691175936 173831350272 179438813184 179724877824 181597011968 185522454528 187454980096 187753824256 206424728448 213083590656 213423292416 215646451712 220307914752 222602788864 229385699328 231775133696 236785238016 239251750912 239633170432 245129365032 253036763904 272395517952 275232971264 281182470144 281630736384 284111454208 284564389888 293743886336 302694531072 305847599104 315713650688 323469677568 326839153376 333904183296 337382351872 347662700544 358877626368 359449755648 363194023936 374909960192 375507648512 412849456896 426167181312 426846584832 431292903424 440615829504 445205577728 458771398656 463550267392 473570476032 478503501824 479266340864 490258730064 506073527808 544791035904 550465942528 562364940288 563261472768 568222908416 569128779776 587487772672 611695198208 646939355136 653678306752 667808366592 674764703744 695325401088 717755252736 718899511296 726388047872 749819920384 825698913792 852334362624 853693169664 862585806848 881231659008 890411155456 917542797312 927100534784 947140952064 957007003648 958532681728 980517460128 1012147055616 1089582071808 1100931885056 1124729880576 1126522945536 1136445816832 1138257559552 1174975545344 1223390396416 1293878710272 1307356613504 1335616733184 1349529407488 1390650802176 1435510505472 1437799022592 1452776095744 1499639840768 1651397827584 1704668725248 1707386339328 1725171613696 1762463318016 1780822310912 1835085594624 1854201069568 1914014007296 1917065363456 1961034920256 2024294111232 2179164143616 2201863770112 2249459761152 2272891633664 2276515119104 2446780792832 2587757420544 2614713227008 2671233466368 2699058814976 2781301604352 2871021010944 2875598045184 2905552191488 2999279681536 3302795655168 3409337450496 3414772678656 3450343227392 3524926636032 3561644621824 3670171189248 3708402139136 3828028014592 3922069840512 4048588222464 4358328287232 4403727540224 4498919522304 4545783267328 4553030238208 4893561585664 5175514841088 5229426454016 5342466932736 5398117629952 5562603208704 5742042021888 5751196090368 5811104382976 5998559363072 6605591310336 6818674900992 6829545357312 6900686454784 7123289243648 7340342378496 7416804278272 7656056029184 7844139681024 8097176444928 8716656574464 8807455080448 8997839044608 9091566534656 9106060476416 9787123171328 10351029682176 10458852908032 10684933865472 10796235259904 11125206417408 11484084043776 11622208765952 13211182620672 13637349801984 13659090714624 13801372909568 14246578487296 14680684756992 14833608556544 15312112058368 15688279362048 16194352889856 17433313148928 17614910160896 17995678089216 18183133069312 18212120952832 20702059364352 20917705816064 21369867730944 21592470519808 22250412834816 22968168087552 23244417531904 26422365241344 27274699603968 27318181429248 27602745819136 28493156974592 29361369513984 29667217113088 30624224116736 31376558724096 32388705779712 34866626297856 35229820321792 36366266138624 36424241905664 41404118728704 41835411632128 42739735461888 43184941039616 44500825669632 45936336175104 46488835063808 52844730482688 54549399207936 54636362858496 55205491638272 56986313949184 59334434226176 62753117448192 64777411559424 69733252595712 70459640643584 72732532277248 82808237457408 83670823264256 85479470923776 86369882079232 89001651339264 91872672350208 92977670127616 105689460965376 109098798415872 109272725716992 110410983276544 113972627898368 118668868452352 125506234896384 129554823118848 139466505191424 140919281287168 145465064554496 165616474914816 167341646528512 170958941847552 172739764158464 178003302678528 185955340255232 211378921930752 218197596831744 220821966553088 237337736904704 251012469792768 259109646237696 278933010382848 281838562574336 290930129108992 331232949829632 334683293057024 341917883695104 345479528316928 356006605357056 422757843861504 436395193663488 441643933106176 474675473809408 502024939585536 518219292475392 557866020765696 563677125148672 581860258217984 662465899659264 669366586114048 690959056633856 712013210714112 845515687723008 872790387326976 883287866212352 949350947618816 1004049879171072 1036438584950784 1127354250297344 1324931799318528 1338733172228096 1381918113267712 1424026421428224 1691031375446016 1745580774653952 1766575732424704 2008099758342144 2072877169901568 2254708500594688 2649863598637056 2677466344456192 2763836226535424 2848052842856448 3382062750892032 3533151464849408 4016199516684288 4145754339803136 4509417001189376 5299727197274112 5354932688912384 5527672453070848 6764125501784064 8032399033368576 8291508679606272 9018834002378752 10599454394548224 10709865377824768 11055344906141696 13528251003568128 16064798066737152 16583017359212544 18037668004757504 21419730755649536 27056502007136256 32129596133474304 33166034718425088 42839461511299072 54113004014272512 64259192266948608 85678923022598144 128518384533897216 171357846045196288 257036769067794432 342715692090392576 514073538135588864 1028147076271177728
• Sum of all divisors σ(n): 3018078456088389120
• Sum of proper divisors (its aliquot sum) s(n): 1989931379817211392
• 1028147076271177728 is an abundant number, because the sum of its proper divisors (1989931379817211392) is greater than itself. Its abundance is 961784303546033664

Bases of 1028147076271177728

• Binary: 111001000100101101100101000110001010000000000000000000000000₂
• Hexadecimal: 0xE44B6518A000000
• Base-36: 7T7JPYBT0H6O

Squares and roots of 1028147076271177728

• 1028147076271177728 squared (1028147076271177728²) is 1057086410444970952312584016163241984
• 1028147076271177728 cubed (1028147076271177728³) is 1086840302264991034609261386096696863842302022335332352
• The square root of 1028147076271177728 is 1013975875.5863857967
• The cube root of 1028147076271177728 is 1009295.6813202015

Scales and comparisons

• 1,028,147,076,271,177,728 seconds is equal to 32,691,896,757 years, 36 weeks, 5 days, 7 hours, 8 minutes, 48 seconds.
• To count from 1 to 1,028,147,076,271,177,728 would take you about one hundred fourteen billion, four hundred twenty-one million, six hundred thirty-eight thousand, six hundred fifty-one 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 1028147076271177728 cubic inches would be around 84108 feet tall.

Recreational maths with 1028147076271177728

• 1028147076271177728 backwards is 8277711726707418201
• The number of decimal digits it has is: 19
• The sum of 1028147076271177728's digits is 78
• More coming soon!