830838789798013125
830,838,789,798,013,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 830838789798013125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
830838789798013125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 830838789798013125:
32 × 54 × 23 × 31 × 613 × 973
(3 × 3 × 5 × 5 × 5 × 5 × 23 × 31 × 61 × 61 × 61 × 97 × 97 × 97)See below for interesting mathematical facts about the number 830838789798013125 from the Numbermatics database.
Names of 830838789798013125
- Cardinal: 830838789798013125 can be written as Eight hundred thirty quadrillion, eight hundred thirty-eight trillion, seven hundred eighty-nine billion, seven hundred ninety-eight million, thirteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 8.30838789798013125 × 1017
Factors of 830838789798013125
Divisors of 830838789798013125
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 9 15 23 25 31 45 61 69 75 93 97 115 125 155 183 207 225 279 291 305 345 375 465 485 549 575 625 713 775 873 915 1035 1125 1395 1403 1455 1525 1725 1875 1891 2139 2231 2325 2425 2745 2875 3007 3565 3721 3875 4209 4365 4575 5175 5625 5673 5917 6417 6693 6975 7015 7275 7625 8625 9021 9409 9455 10695 11155 11163 11625 12125 12627 13725 14375 15035 17019 17751 17825 18605 19375 20079 21045 21825 22875 25875 27063 28227 28365 29585 32085 33465 33489 34875 35075 36375 38125 43125 43493 45105 47045 47275 53253 53475 55775 55815 58125 60625 63135 68625 69161 75175 84681 85095 85583 88755 89125 93025 100395 105225 109125 114375 115351 129375 130479 135315 136091 141135 141825 147925 160425 167325 167445 174375 175375 181875 183427 207483 216407 217465 225525 226981 235225 236375 256749 266265 267375 278875 279075 291679 315675 343125 345805 346053 360937 375875 391437 408273 423405 425475 427915 443775 445625 465125 501975 526125 545625 550281 573949 576755 622449 649221 652395 676575 680455 680943 705675 709125 739625 770247 802125 836625 837225 875037 876875 912673 917135 1037415 1038159 1082035 1082811 1087325 1127625 1134905 1176125 1181875 1224819 1283745 1331325 1336875 1394375 1395375 1458395 1578375 1650843 1721847 1729025 1730265 1804685 1879375 1947663 1957185 2041365 2042829 2117025 2127375 2139575 2218875 2325625 2509875 2625111 2630625 2653073 2738019 2751405 2869745 2883775 3112245 3246105 3248433 3261975 3382875 3402275 3404715 3528375 3545625 3698125 3851235 4010625 4183125 4186125 4218821 4375185 4563365 4585675 5165541 5187075 5190795 5220563 5410175 5414055 5436625 5638125 5674525 5880625 6124095 6418725 6656625 6708617 6976875 7036411 7291975 7891875 7959219 8214057 8254215 8301551 8609235 8645125 8651325 9023425 9738315 9785925 10206825 10214145 10585125 10636875 10697875 11094375 11189047 12549375 12656463 13125555 13200827 13265365 13690095 13757025 14348725 14418875 15561225 15661689 16230525 16242165 16309875 16914375 17011375 17023575 17641875 17792419 19256175 20125851 20930625 20991479 21094105 21109233 21875925 22017157 22816825 22928375 23877657 24904653 25827705 25935375 25953975 26102815 27050875 27070275 27183125 28292863 28372625 30620475 32093625 33283125 33543085 33567141 35010889 35182055 36459875 37969389 39602481 39796095 41070285 41271075 41507755 43046175 43225625 43256625 45117125 46985067 48691575 48929625 51034125 51070725 52925625 53377257 53489375 55673053 55945235 60377553 62974437 63282315 63327699 65627775 66004135 66051471 66326825 68450475 68785125 71743625 72094375 74713959 77806125 78308445 81152625 81210825 81549375 84878589 85056875 85117875 88962095 96280875 100629255 100701423 104957395 105032667 105470525 105546165 109379625 110085785 114084125 114641875 118807443 119388285 124523265 129138525 129676875 129769875 130514075 135254375 135351375 141464315 141863125 153102375 160131771 160468125 161837453 167019159 167715425 167835705 175054445 175910275 182299375 188923311 189846945 198012405 198154413 198980475 205351425 206355375 207538775 215230875 216283125 225585625 234925335 243457875 244648125 254635767 255170625 255353625 257348081 266886285 278365265 279726175 301887765 314872185 315098001 316411575 316638495 328138875 330020675 330257355 331634125 342252375 343925625 358718125 373569795 389030625 391542225 405763125 406054125 409225637 424392945 425589375 444810475 481404375 485512359 501057477 503146275 503507115 506394611 524786975 525163335 527352625 527730825 546898125 550428925 570420625 594037215 596941425 622616325 645692625 648849375 650735849 652570375 676756875 682531867 707321575 765511875 772044243 800658855 805250447 809187265 835095795 838577125 839178525 875272225 879551375 944616555 949234725 990062025 990772065 994902375 1026757125 1031776875 1037693875 1076154375 1085337559 1174626675 1217289375 1227676911 1273178835 1276768125 1280480219 1286740405 1334431425 1391826325 1398630875 1456537077 1509438825 1519183833 1574360925 1575490005 1582057875 1583192475 1640694375 1650103375 1651286775 1658170625 1711261875 1725864643 1867848975 1952207547 1957711125 2030270625 2046128185 2047595601 2121964725 2135664229 2224052375 2316132729 2415751341 2427561795 2505287385 2515731375 2517535575 2531973055 2623934875 2625816675 2636763125 2638654125 2752144625 2970186075 2984707125 3113081625 3228463125 3253679245 3256012677 3262851875 3396056233 3412659335 3536607875 3683030733 3841440657 3860221215 4003294275 4026252235 4045936325 4175478975 4192885625 4195892625 4376361125 4397756875 4557551499 4723082775 4746173625 4950310125 4953860325 4974511875 5133785625 5177593929 5188469375 5426687795 5856622641 5873133375 6138384555 6142786803 6365894175 6402401095 6406992687 6433702025 6672157125 6959131625 6993154375 7247254023 7282685385 7547194125 7595919165 7871804625 7877450025 7910289375 7915962375 8250516875 8256433875 8629323215 9339244875 9761037735 9768038031 9788555625 10188168699 10230640925 10237978005 10609823625 10678321145 11120261875 11524321971 11580663645 12078756705 12137808975 12526436925 12578656875 12587677875 12659865275 13119674375 13129083375 13193270625 13760723125 14850930375 14923535625 15532781787 15565408125 15698232941 16268396225 16280063385 16980281165 17063296675 17683039375 18415153665 19207203285 19220978061 19301106075 20016471375 20131261175 20229681625 20877394875 20979463125 21881805625 22787757495 23615413875 23730868125 24751550625 24769301625 24962763857 25887969645 27133438975 29283113205 29365666875 30564506097 30691922775 30713934015 31829470875 32012005475 32034963435 32168510125 33360785625 34795658125 36236270115 36413426925 37735970625 37979595825 39359023125 39387250125 39579811875 39694886789 41282169375 43146616075 46696224375 47094698823 48805188675 48840190155 49120277267 50940843495 51153204625 51189890025 53049118125 53391605725 57621609855 57903318225 60393783525 60689044875 62632184625 62938389375 63299326375 65645416875 66205591099 74254651875 74888291571 77663908935 78109293359 78491164705 81341981125 81400316925 84901405825 85316483375 92075768325 96036016425 96104890305 96505530375 100082356875 100656305875 101148408125 104386974375 105277743223 113938787475 118077069375 119084660367 123846508125 124813819285 129439848225 135667194875 141284096469 146415566025 147360831801 152822530485 153459613875 153569670075 159147354375 160060027375 160174817175 160842550625 181181350575 182067134625 189897979125 196936250625 198474433945 198616773297 207159430213 215733080375 224664874713 234327880077 235473494115 244025943375 244200950775 245601386335 254704217475 255766023125 255949450125 266958028625 288108049275 289516591125 301968917625 303445224375 313160923125 315833229669 316496631875 331027955495 357253981101 374441457855 388319544675 390546466795 392455823525 406709905625 407001584625 424507029125 426582416875 442082495403 460378841625 480180082125 480524451525 482527651875 503281529375 526388716115 569693937375 595423301835 595850319891 621478290639 624069096425 647199241125 678335974375 702983640231 706420482345 732077830125 736804159005 764112652425 767298069375 767848350375 800300136875 800874085875 905906752875 910335673125 947499689007 949489895625 992372169725 993083866485 1035797151065 1078665401875 1123324373565 1171639400385 1177367470575 1220129716875 1221004753875 1228006931675 1273521087375 1279747250625 1334790143125 1440540246375 1447582955625 1509844588125 1522728595277 1579166148345 1655139777475 1786269905505 1864434871917 1872207289275 1941597723375 1952732333975 1962279117625 2035007923125 2122535145625 2210412477015 2301894208125 2400900410625 2402622257625 2421388094129 2631943580575 2848469686875 2977116509175 2979251599455 3107391453195 3120345482125 3235996205625 3514918201155 3532102411725 3660389150625 3684020795025 3820563262125 3839241751875 4004370429375 4529533764375 4568185785831 4737498445035 4764666894899 4961860848625 4965419332425 5178985755325 5616621867825 5858197001925 5886837352875 6105023769375 6140034658375 6367605436875 6421942336603 7202701231875 7264164282387 7613642976385 7895830741725 8275698887375 8931349527525 9322174359585 9361036446375 9707988616875 9763661669875 9811395588125 11052062385075 12013111288125 12106940470645 13159717902875 13704557357493 14294000684697 14885582545875 14896257997275 15536957265975 15601727410625 17574591005775 17660512058625 18420103975125 19102816310625 19265827009809 21792492847161 22840928929155 23687492225175 23823334474495 24809304243125 24827096662125 25894928776625 28083109339125 29290985009625 29434186764375 30700173291875 32109711683015 36320821411935 38068214881925 39479153708625 41378494436875 42882002054091 44656747637625 46610871797925 46805182231875 48818308349375 55260311925375 57797481029427 60534702353225 65798589514375 68522786787465 71470003423485 74427912729375 74481289986375 77684786329875 87872955028875 88302560293125 92100519875625 96329135049045 108962464235805 114204644645775 118437461125875 119116672372475 124135483310625 129474643883125 140415546695625 146454925048125 147704673741869 160548558415075 181604107059675 190341074409625 197395768543125 214410010270455 223283738188125 233054358989625 276301559626875 288987405147135 302673511766125 342613933937325 357350017117425 372406449931875 388423931649375 439364775144375 443114021225607 481645675245225 544812321179025 571023223228875 592187305629375 595583361862375 738523368709345 802742792075375 908020535298375 951705372048125 1072050051352275 1165271794948125 1329342063676821 1444937025735675 1513367558830625 1713069669686625 1786750085587125 2215570106128035 2408228376226125 2724061605895125 2855116116144375 2977916809311875 3692616843546725 4013713960376875 4540102676491875 5360250256761375 6646710318384105 7224685128678375 8565348348433125 8933750427935625 11077850530640175 12041141881130625 13620308029475625 18463084217733625 26801251283806875 33233551591920525 36123425643391875 55389252653200875 92315421088668125 166167757959602625 276946263266004375 830838789798013125
- Sum of all divisors σ(n): 1659355211415982080
- Sum of proper divisors (its aliquot sum) s(n): 828516421617968955
- 830838789798013125 is a deficient number, because the sum of its proper divisors (828516421617968955) is less than itself. Its deficiency is 2322368180044170
Bases of 830838789798013125
- Binary: 1011100001111011101101111010001100111000011010101000110001012
- Hexadecimal: 0xB87BB7A3386A8C5
- Base-36: 6B8RRQUNVQV9
Squares and roots of 830838789798013125
- 830838789798013125 squared (8308387897980131252) is 690293094633027038399036197672265625
- 830838789798013125 cubed (8308387897980131253) is 573522279350829533601734368363499663853890542236328125
-
The
square root of 830838789798013125 is 911503587.3752846207 -
The
cube root of 830838789798013125 is 940096.1082500987
Scales and comparisons
How big is 830838789798013125?- 830,838,789,798,013,125 seconds is equal to 26,418,103,562 years, 24 weeks, 6 hours, 18 minutes, 45 seconds.
-
To count from 1 to 830,838,789,798,013,125 would take you about seventy-nine billion, two hundred fifty-four million, three hundred ten thousand, six hundred eighty-seven 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 830838789798013125 cubic inches would be around 78341.3 feet tall.
Recreational maths with 830838789798013125
- 830838789798013125 backwards is 521310897987838038
- The number of decimal digits it has is: 18
- The sum of 830838789798013125's digits is 90
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 830838789798013125 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 830838789798013125 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/830838789798013125/
Chicago style:
Numbermatics. 2024. "Number 830838789798013125 - Facts about the integer". https://numbermatics.com/n/830838789798013125/
The information we have on file for 830838789798013125 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!
Keywords: Divisors of 830838789798013125, math, Factors of 830838789798013125, curriculum, school, college, exams, university, Prime factorization of 830838789798013125, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirty quadrillion, eight hundred thirty-eight trillion, seven hundred eighty-nine billion, seven hundred ninety-eight million, thirteen thousand, one hundred twenty-five.