828036975321088

Names of 828036975321088

• Cardinal: 828036975321088 can be written as Eight hundred twenty-eight trillion, thirty-six billion, nine hundred seventy-five million, three hundred twenty-one thousand and eighty-eight.

Scientific notation

• Scientific notation: 8.28036975321088 × 10¹⁴

Factors of 828036975321088

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 246

Divisors of 828036975321088

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 8 13 16 19 23 26 31 32 38 46 52 61 62 64 76 92 97 104 122 124 128 152 184 194 208 244 247 248 256 299 304 368 388 403 416 437 488 494 496 512 589 598 608 713 736 776 793 806 832 874 976 988 992 1024 1159 1178 1196 1216 1261 1403 1426 1472 1552 1586 1612 1664 1748 1843 1891 1952 1976 1984 2048 2231 2318 2356 2392 2432 2522 2806 2852 2944 3007 3104 3172 3224 3328 3496 3686 3782 3904 3952 3968 4096 4462 4636 4712 4784 4864 5044 5612 5681 5704 5888 5917 6014 6208 6344 6448 6656 6992 7372 7564 7657 7808 7904 7936 8192 8924 9269 9272 9409 9424 9568 9728 10088 11224 11362 11408 11776 11834 12028 12416 12688 12896 13312 13547 13984 14744 15067 15128 15314 15616 15808 15872 17848 18239 18538 18544 18818 18848 19136 19456 20176 22448 22724 22816 23552 23668 23959 24056 24583 24832 25376 25792 26624 26657 27094 27968 29003 29488 30134 30256 30628 31232 31616 31744 35696 35929 36478 37076 37088 37636 37696 38272 38912 39091 40352 42389 43493 44896 45448 45632 47104 47336 47918 48112 49166 49664 50752 51584 53248 53314 54188 55936 57133 58006 58976 60268 60512 61256 62464 63232 63488 69161 71392 71858 72956 74152 74176 75272 75392 76544 76921 77824 78182 80704 84778 86986 89792 90896 91264 94208 94672 95836 96224 98332 99328 101504 103168 106496 106628 108376 111872 112423 114266 116012 117952 120536 121024 122317 122512 124928 126464 126976 136091 138322 142784 143716 145912 148304 148352 150544 150784 153088 153842 155648 156364 161408 169556 173972 176111 178771 179584 181792 182528 183427 188416 189344 191672 192448 196664 198656 203008 206336 213256 216407 216752 223744 224846 228532 232024 235904 241072 242048 244634 245024 249856 252928 253952 272182 276644 285568 287432 291679 291824 296608 296704 301088 301568 306176 307684 312728 322816 339112 346541 347944 352222 357542 359168 363584 365056 366854 378688 383344 384896 393328 397312 406016 412672 426512 432814 433504 447488 449692 457064 464048 467077 471808 482144 484096 489268 490048 499712 505856 544364 551057 553288 565409 571136 573949 574864 583358 583648 593216 593408 602176 603136 612352 615368 625456 645632 678224 693082 695888 704444 715084 718336 727168 730112 733708 742729 757376 766688 769792 786656 794624 812032 825344 826367 853024 865628 867008 894976 899093 899384 914128 928096 934154 943616 964288 968192 978536 980096 1011712 1088728 1102114 1106576 1130818 1142272 1147898 1149728 1166716 1167296 1186432 1186816 1204352 1206272 1224704 1230736 1250912 1291264 1314059 1356448 1386164 1391776 1408888 1430168 1436672 1454336 1460224 1461499 1467416 1485458 1514752 1533376 1539584 1573312 1624064 1650688 1652734 1706048 1731256 1734016 1769183 1789952 1798186 1798768 1828256 1856192 1868308 1887232 1928576 1936384 1957072 1960192 2023424 2177456 2204228 2213152 2261636 2284544 2295796 2299456 2324023 2333432 2334592 2372864 2373632 2384551 2408704 2412544 2449408 2461472 2501824 2582528 2585729 2628118 2712896 2772328 2783552 2813291 2817776 2860336 2873344 2908672 2920448 2922998 2934832 2970916 3029504 3066752 3079168 3146624 3248128 3301376 3305468 3412096 3462512 3468032 3485113 3538366 3579904 3596372 3597536 3656512 3712384 3736616 3774464 3791827 3857152 3872768 3914144 3920384 4111733 4218821 4354912 4408456 4426304 4523272 4569088 4591592 4598912 4648046 4666864 4669184 4745728 4747264 4769102 4817408 4825088 4922944 5003648 5165056 5171458 5256236 5425792 5541901 5544656 5567104 5626582 5635552 5720672 5746688 5817344 5840896 5845996 5869664 5941832 6059008 6133504 6158336 6293248 6496256 6610936 6708617 6824192 6925024 6936064 6970226 7076732 7192744 7195072 7313024 7424768 7461337 7473232 7548928 7583654 7714304 7745536 7828288 7840768 8223466 8437642 8709824 8816912 8852608 9046544 9138176 9183184 9197824 9296092 9333728 9338368 9491456 9494528 9538204 9634816 9845888 10007296 10330112 10342916 10512472 10742771 10851584 10905031 11083802 11089312 11134208 11253164 11271104 11441344 11493376 11634688 11691992 11739328 11883664 12118016 12267008 12316672 12586496 13200827 13221872 13417234 13648384 13850048 13872128 13940452 14153464 14385488 14390144 14626048 14849536 14922674 14946464 15097856 15167308 15428608 15491072 15656576 15681536 16446932 16875284 17082767 17419648 17633824 17705216 17792419 18093088 18276352 18366368 18395648 18592184 18667456 18676736 18982912 19076408 19269632 19691776 20014592 20685832 21024944 21485542 21703168 21810062 22167604 22178624 22268416 22506328 22542208 22882688 23269376 23383984 23478656 23767328 24236032 24534016 24633344 25172992 26401654 26443744 26834468 27296768 27700096 27744256 27880904 28306928 28770976 28780288 29252096 29699072 29845348 29892928 30334616 30857216 31313152 31363072 32893864 33614477 33750568 34165534 34839296 35267648 35410432 35584838 36186176 36732736 36791296 37184368 37334912 37353472 37965824 38152816 38539264 39383552 40029184 41371664 42049888 42971084 43406336 43620124 44335208 44357248 44536832 45012656 45084416 45306469 45765376 46538752 46767968 46957312 47534656 48472064 49068032 50345984 52803308 52887488 53452529 53668936 54593536 54844673 55400192 55488512 55761808 56613856 57541952 57560576 58504192 59398144 59690696 59785856 60669232 61714432 62626304 62726144 65787728 67228954 67501136 68331068 69678592 70535296 70820864 71169676 72044713 72372352 73465472 73582592 74368736 74669824 74706944 75931648 76305632 77078528 78767104 80058368 80157599 82743328 84099776 85942168 86812672 87212021 87240248 88670416 88714496 89073664 90025312 90168832 90612938 91530752 93535936 93914624 95069312 98136064 100691968 105606616 105774976 106905058 107337872 109187072 109689346 110800384 110977024 111523616 113227712 115083904 115121152 117008384 118796288 119381392 119571712 121338464 123428864 125252608 127463723 131575456 134457908 135002272 136662136 139357184 141070592 141641728 141765403 142339352 144089426 144744704 146930944 147165184 148737472 149339648 149413888 152611264 157534208 160116736 160315198 165486656 168199552 171610751 171884336 173625344 174424042 174480496 177340832 177428992 178147328 180050624 180337664 181225876 183061504 187071872 187829248 190138624 196272128 201383936 211213232 211549952 213810116 214675744 218374144 219378692 221600768 223047232 226455424 230167808 230242304 231301447 234016768 237592576 238762784 239143424 242676928 250505216 250815713 254927446 263150912 268915816 270004544 273324272 278714368 282141184 283283456 283530806 284678704 288178852 289489408 293861888 294330368 297474944 298679296 305222528 315068416 320233472 320630396 330973312 336399104 338055961 343221502 343768672 347250688 348848084 348960992 354681664 354857984 356294656 360101248 360675328 362451752 366123008 374143744 375658496 380277248 409225637 422426464 423099904 427620232 429351488 438757384 443201536 446094464 452910848 460335616 460484608 462602894 468033536 477525568 478286848 485353856 501010432 501631426 509854892 526301824 537831632 540009088 546648544 557428736 564282368 566566912 567061612 569357408 576357704 578978816 587723776 594949888 597358592 610445056 630136832 641260792 661946624 672798208 676111922 686443004 687537344 697696168 697921984 709363328 709715968 720202496 721350656 724903504 732246016 748287488 751316992 760554496 818451274 844852928 846199808 855240464 858702976 877514768 886403072 892188928 905821696 920671232 920969216 925205788 955051136 956573696 970707712 1002020864 1003262852 1019709784 1042048787 1052603648 1075663264 1080018176 1093297088 1114857472 1128564736 1134123224 1138714816 1152715408 1157957632 1175447552 1189899776 1194717184 1220890112 1282521584 1323893248 1345596416 1352223844 1372886008 1375074688 1395392336 1395843968 1418726656 1419431936 1440404992 1442701312 1449807008 1464492032 1496574976 1502633984 1521108992 1636902548 1657028399 1689705856 1692399616 1710480928 1717405952 1755029536 1772806144 1784377856 1811643392 1841342464 1850411576 1910102272 1913147392 1941415424 2006525704 2039419568 2084097574 2105207296 2151326528 2160036352 2186594176 2257129472 2268246448 2277429632 2305430816 2315915264 2350895104 2379799552 2389434368 2441780224 2565043168 2647786496 2691192832 2704447688 2745772016 2750149376 2790784672 2791687936 2837453312 2838863872 2880809984 2899614016 2993149952 3042217984 3260604269 3273805096 3314056798 3379411712 3384799232 3420961856 3434811904 3510059072 3568755712 3623286784 3682684928 3700823152 3820204544 3826294784 3882830848 4013051408 4078839136 4168195148 4210414592 4302653056 4320072704 4373188352 4394727493 4514258944 4536492896 4554859264 4610861632 4631830528 4701790208 4759599104 4883560448 5130086336 5295572992 5319933281 5382385664 5408895376 5491544032 5500298752 5581569344 5583375872 5674906624 5761619968 5799228032 5986299904 6084435968 6521208538 6547610192 6628113596 6758823424 6769598464 6841923712 6869623808 7020118144 7137511424 7246573568 7365369856 7401646304 7640409088 7765661696 7775287103 8026102816 8157678272 8336390296 8420829184 8605306112 8640145408 8746376704 8789454986 9072985792 9109718528 9221723264 9519198208 9767120896 10260172672 10591145984 10639866562 10764771328 10817790752 10983088064 11000597504 11163138688 11166751744 11349813248 11523239936 11598456064 11972599808 13042417076 13095220384 13256227192 13517646848 13683847424 13739247616 14040236288 14275022848 14493147136 14803292608 15280818176 15531323392 15550574206 16052205632 16315356544 16672780592 16841658368 17210612224 17280290816 17492753408 17578909972 18145971584 18219437056 18443446528 19038396416 19534241792 20520345344 21182291968 21279733124 21635581504 21966176128 22001195008 22326277376 22333503488 22699626496 23046479872 23196912128 26084834152 26190440768 26512454384 27035293696 27367694848 27478495232 28080472576 28550045696 29606585216 30561636352 31062646784 31101148412 32104411264 32630713088 33345561184 33683316736 34421224448 34560581632 34985506816 35157819944 36291943168 36438874112 36886893056 41040690688 42559466248 43271163008 43932352256 44002390016 44652554752 44667006976 45399252992 46393824256 52169668304 52380881536 53024908768 54070587392 54735389696 54956990464 56160945152 59213170432 61123272704 62202296824 64208822528 65261426176 66691122368 68842448896 69971013632 70315639888 72583886336 72877748224 73773786112 82081381376 85118932496 86542326016 87864704512 88004780032 89305109504 89334013952 92787648512 101078732339 104339336608 104761763072 106049817536 108141174784 109470779392 112321890304 118426340864 124404593648 128417645056 130522852352 133382244736 137684897792 139942027264 140631279776 145167772672 145755496448 147547572224 164162762752 170237864992 173084652032 175729409024 178610219008 185575297024 202157464678 208678673216 209523526144 212099635072 218941558784 224643780608 236852681728 248809187296 256835290112 261045704704 266764489472 275369795584 281262559552 290335545344 295095144448 328325525504 340475729984 346169304064 351458818048 357220438016 371150594048 404314929356 417357346432 419047052288 424199270144 437883117568 449287561216 473705363456 497618374592 513670580224 522091409408 533528978944 562525119104 580671090688 590190288896 656651051008 680951459968 692338608128 702917636096 714440876032 808629858712 834714692864 838094104576 848398540288 947410726912 995236749184 1027341160448 1044182818816 1067057957888 1125050238208 1161342181376 1361902919936 1384677216256 1405835272192 1617259717424 1669429385728 1676188209152 1696797080576 1894821453824 1990473498368 2054682320896 2134115915776 2250100476416 2723805839872 2769354432512 3234519434848 3338858771456 3352376418304 3393594161152 3980946996736 4268231831552 4500200952832 5447611679744 6469038869696 6677717542912 6787188322304 7961893993472 8536463663104 9000401905664 10895223359488 12938077739392 13355435085824 13574376644608 15923787986944 18000803811328 21790446718976 25876155478784 26710870171648 31847575973888 36001607622656 43580893437952 51752310957568 63695151947776 103504621915136 207009243830272 414018487660544 828036975321088
• Sum of all divisors σ(n): 2076576170618880
• Sum of proper divisors (its aliquot sum) s(n): 1248539195297792
• 828036975321088 is an abundant number, because the sum of its proper divisors (1248539195297792) is greater than itself. Its abundance is 420502219976704

Bases of 828036975321088

• Binary: 10111100010001100001100001110001100110000000000000₂
• Hexadecimal: 0x2F11861C66000
• Base-36: 85IIXNTP8G

Squares and roots of 828036975321088

• 828036975321088 squared (828036975321088²) is 685645232498896097560697503744
• 828036975321088 cubed (828036975321088³) is 567739604461710071876070390063802174482153472
• The square root of 828036975321088 is 28775631.6233212855
• The cube root of 828036975321088 is 93903.8164838203

Scales and comparisons

• 828,036,975,321,088 seconds is equal to 26,329,014 years, 27 weeks, 3 days, 10 hours, 31 minutes, 28 seconds.
• To count from 1 to 828,036,975,321,088 would take you about sixty-five million, eight hundred twenty-two thousand, five hundred thirty-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 828036975321088 cubic inches would be around 7825.3 feet tall.

Recreational maths with 828036975321088

• 828036975321088 backwards is 880123579630828
• The number of decimal digits it has is: 15
• The sum of 828036975321088's digits is 70
• More coming soon!