34131341872201728
34,131,341,872,201,728 is an even composite number composed of five prime numbers multiplied together.
34131341872201728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 34131341872201728:
226 × 3 × 76 × 11 × 131
(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 × 7 × 7 × 7 × 11 × 131)See below for interesting mathematical facts about the number 34131341872201728 from the Numbermatics database.
Names of 34131341872201728
- Cardinal: 34131341872201728 can be written as Thirty-four quadrillion, one hundred thirty-one trillion, three hundred forty-one billion, eight hundred seventy-two million, two hundred one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.4131341872201728 × 1016
Factors of 34131341872201728
Divisors of 34131341872201728
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 128 131 132 147 154 168 176 192 196 224 231 256 262 264 294 308 336 343 352 384 392 393 448 462 512 524 528 539 588 616 672 686 704 768 784 786 896 917 924 1024 1029 1048 1056 1078 1176 1232 1344 1372 1408 1441 1536 1568 1572 1617 1792 1834 1848 2048 2058 2096 2112 2156 2352 2401 2464 2688 2744 2751 2816 2882 3072 3136 3144 3234 3584 3668 3696 3773 4096 4116 4192 4224 4312 4323 4704 4802 4928 5376 5488 5502 5632 5764 6144 6272 6288 6419 6468 7168 7203 7336 7392 7546 8192 8232 8384 8448 8624 8646 9408 9604 9856 10087 10752 10976 11004 11264 11319 11528 12288 12544 12576 12838 12936 14336 14406 14672 14784 15092 16384 16464 16768 16807 16896 17248 17292 18816 19208 19257 19712 20174 21504 21952 22008 22528 22638 23056 24576 25088 25152 25676 25872 26411 28672 28812 29344 29568 30184 30261 32768 32928 33536 33614 33792 34496 34584 37632 38416 38514 39424 40348 43008 43904 44016 44933 45056 45276 46112 49152 50176 50304 50421 51352 51744 52822 57344 57624 58688 59136 60368 60522 65536 65856 67072 67228 67584 68992 69168 70609 75264 76832 77028 78848 79233 80696 86016 87808 88032 89866 90112 90552 92224 98304 100352 100608 100842 102704 103488 105644 114688 115248 117376 117649 118272 120736 121044 131072 131712 134144 134456 134799 135168 137984 138336 141218 150528 153664 154056 157696 158466 161392 172032 175616 176064 179732 180224 181104 184448 184877 196608 200704 201216 201684 205408 206976 211288 211827 229376 230496 234752 235298 236544 241472 242088 262144 263424 268288 268912 269598 270336 275968 276672 282436 301056 307328 308112 314531 315392 316932 322784 344064 351232 352128 352947 359464 360448 362208 368896 369754 393216 401408 402432 403368 410816 413952 422576 423654 458752 460992 469504 470596 473088 482944 484176 494263 524288 526848 536576 537824 539196 540672 551936 553344 554631 564872 602112 614656 616224 629062 630784 633864 645568 688128 702464 704256 705894 718928 720896 724416 737792 739508 786432 802816 804864 806736 821632 827904 845152 847308 917504 921984 939008 941192 943593 946176 965888 968352 988526 1048576 1053696 1073152 1075648 1078392 1081344 1103872 1106688 1109262 1129744 1204224 1229312 1232448 1258124 1261568 1267728 1291136 1294139 1376256 1404928 1408512 1411788 1437856 1441792 1448832 1475584 1479016 1482789 1572864 1605632 1609728 1613472 1643264 1655808 1690304 1694616 1835008 1843968 1878016 1882384 1887186 1892352 1931776 1936704 1977052 2097152 2107392 2146304 2151296 2156784 2162688 2201717 2207744 2213376 2218524 2259488 2408448 2458624 2464896 2516248 2523136 2535456 2582272 2588278 2752512 2809856 2817024 2823576 2875712 2883584 2897664 2951168 2958032 2965578 3145728 3211264 3219456 3226944 3286528 3311616 3380608 3389232 3459841 3670016 3687936 3756032 3764768 3774372 3784704 3863552 3873408 3882417 3954104 4194304 4214784 4292608 4302592 4313568 4325376 4403434 4415488 4426752 4437048 4518976 4816896 4917248 4929792 5032496 5046272 5070912 5164544 5176556 5505024 5619712 5634048 5647152 5751424 5767168 5795328 5902336 5916064 5931156 6291456 6422528 6438912 6453888 6573056 6605151 6623232 6761216 6778464 6919682 7340032 7375872 7512064 7529536 7548744 7569408 7727104 7746816 7764834 7908208 8388608 8429568 8585216 8605184 8627136 8650752 8806868 8830976 8853504 8874096 9037952 9633792 9834496 9859584 10064992 10092544 10141824 10329088 10353112 10379523 11010048 11239424 11268096 11294304 11502848 11534336 11590656 11804672 11832128 11862312 12582912 12845056 12877824 12907776 13146112 13210302 13246464 13522432 13556928 13839364 14680064 14751744 15024128 15059072 15097488 15138816 15412019 15454208 15493632 15529668 15816416 16777216 16859136 17170432 17210368 17254272 17301504 17613736 17661952 17707008 17748192 18075904 19267584 19668992 19719168 20129984 20185088 20283648 20658176 20706224 20759046 22020096 22478848 22536192 22588608 23005696 23068672 23181312 23609344 23664256 23724624 24218887 25165824 25690112 25755648 25815552 26292224 26420604 26492928 27044864 27113856 27678728 29360128 29503488 30048256 30118144 30194976 30277632 30824038 30908416 30987264 31059336 31632832 33554432 33718272 34340864 34420736 34508544 34603008 35227472 35323904 35414016 35496384 36151808 38535168 39337984 39438336 40259968 40370176 40567296 41316352 41412448 41518092 44040192 44957696 45072384 45177216 46011392 46137344 46236057 46362624 47218688 47328512 47449248 48437774 50331648 51380224 51511296 51631104 52584448 52841208 52985856 54089728 54227712 55357456 58720256 59006976 60096512 60236288 60389952 60555264 61648076 61816832 61974528 62118672 63265664 67108864 67436544 68681728 68841472 69017088 69206016 70454944 70647808 70828032 70992768 72303616 72656661 77070336 78675968 78876672 80519936 80740352 81134592 82632704 82824896 83036184 88080384 89915392 90144768 90354432 92022784 92274688 92472114 92725248 94437376 94657024 94898496 96875548 100663296 102760448 103022592 103262208 105168896 105682416 105971712 108179456 108455424 110714912 117440512 118013952 120193024 120472576 120779904 121110528 123296152 123633664 123949056 124237344 126531328 134873088 137363456 137682944 138034176 138412032 140909888 141295616 141656064 141985536 144607232 145313322 154140672 157351936 157753344 161039872 161480704 162269184 165265408 165649792 166072368 169532209 176160768 179830784 180289536 180708864 184045568 184549376 184944228 185450496 188874752 189314048 189796992 193751096 201326592 205520896 206045184 206524416 210337792 211364832 211943424 216358912 216910848 221429824 234881024 236027904 240386048 240945152 241559808 242221056 246592304 247267328 247898112 248474688 253062656 269746176 274726912 275365888 276068352 276824064 281819776 282591232 283312128 283971072 289214464 290626644 308281344 314703872 315506688 322079744 322961408 324538368 330530816 331299584 332144736 339064418 352321536 359661568 360579072 361417728 368091136 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1322123264 1325198336 1328578944 1356257672 1409286144 1438646272 1442316288 1445670912 1472364544 1479553824 1483603968 1510998016 1514512384 1518375936 1550008768 1644167168 1648361472 1652195328 1682702336 1690918656 1695547392 1730871296 1735286784 1771438592 1888223232 1923088384 1927561216 1932478464 1937768448 1972738432 1978138624 1983184896 1987797504 2024501248 2034386508 2157969408 2197815296 2202927104 2208546816 2214592512 2254558208 2260729856 2266497024 2271768576 2313715712 2325013152 2466250752 2517630976 2524053504 2576637952 2583691264 2596306944 2644246528 2650396672 2657157888 2712515344 2877292544 2884632576 2891341824 2944729088 2959107648 2967207936 3021996032 3029024768 3036751872 3100017536 3288334336 3296722944 3304390656 3365404672 3381837312 3391094784 3461742592 3470573568 3542877184 3776446464 3846176768 3855122432 3864956928 3875536896 3945476864 3956277248 3966369792 3975595008 4049002496 4068773016 4315938816 4395630592 4405854208 4417093632 4509116416 4521459712 4532994048 4543537152 4627431424 4650026304 4932501504 5035261952 5048107008 5153275904 5167382528 5192613888 5288493056 5300793344 5314315776 5425030688 5754585088 5769265152 5782683648 5889458176 5918215296 5934415872 6043992064 6058049536 6073503744 6200035072 6593445888 6608781312 6730809344 6763674624 6782189568 6923485184 6941147136 7085754368 7552892928 7692353536 7710244864 7729913856 7751073792 7890953728 7912554496 7932739584 7951190016 8098004992 8137546032 8631877632 8791261184 8811708416 8834187264 9018232832 9042919424 9065988096 9087074304 9254862848 9300052608 9865003008 10070523904 10096214016 10306551808 10385227776 10576986112 10601586688 10628631552 10850061376 11509170176 11538530304 11565367296 11778916352 11836430592 11868831744 12087984128 12116099072 12147007488 12400070144 13186891776 13217562624 13461618688 13527349248 13564379136 13846970368 13882294272 14171508736 15105785856 15384707072 15420489728 15459827712 15502147584 15781907456 15825108992 15865479168 15902380032 16196009984 16275092064 17263755264 17623416832 17668374528 18036465664 18085838848 18131976192 18174148608 18509725696 18600105216 20141047808 20192428032 20613103616 20770455552 21153972224 21203173376 21257263104 21700122752 23018340352 23077060608 23130734592 23557832704 23672861184 23737663488 24175968256 24232198144 24294014976 24800140288 26373783552 26435125248 26923237376 27054698496 27128758272 27693940736 27764588544 28343017472 30211571712 30769414144 30840979456 30919655424 31563814912 31650217984 31730958336 31804760064 32392019968 32550184128 34527510528 35246833664 35336749056 36072931328 36171677696 36263952384 36348297216 37019451392 37200210432 40282095616 40384856064 41226207232 41540911104 42307944448 42406346752 42514526208 43400245504 46154121216 46261469184 47115665408 47345722368 47475326976 48351936512 48464396288 48588029952 49600280576 52870250496 53846474752 54109396992 54257516544 55387881472 55529177088 56686034944 60423143424 61538828288 61681958912 61839310848 63127629824 63300435968 63461916672 63609520128 64784039936 65100368256 69055021056 70493667328 70673498112 72145862656 72527904768 72696594432 74038902784 74400420864 80564191232 80769712128 82452414464 83081822208 84615888896 84812693504 85029052416 86800491008 92308242432 92522938368 94231330816 94691444736 94950653952 96703873024 96928792576 97176059904 99200561152 105740500992 107692949504 108218793984 108515033088 110775762944 111058354176 113372069888 120846286848 123363917824 123678621696 126255259648 126600871936 126923833344 127219040256 129568079872 130200736512 140987334656 141346996224 144291725312 145055809536 145393188864 148077805568 148800841728 161128382464 161539424256 164904828928 166163644416 169231777792 169625387008 170058104832 173600982016 184616484864 185045876736 188462661632 189382889472 189901307904 193857585152 194352119808 198401122304 211481001984 215385899008 216437587968 221551525888 222116708352 226744139776 241692573696 246727835648 247357243392 252510519296 253201743872 253847666688 254438080512 259136159744 260401473024 281974669312 282693992448 288583450624 290111619072 290786377728 296155611136 297601683456 323078848512 329809657856 332327288832 338463555584 339250774016 340116209664 347201964032 370091753472 376925323264 378765778944 379802615808 387715170304 388704239616 396802244608 422962003968 430771798016 432875175936 443103051776 444233416704 453488279552 483385147392 493455671296 494714486784 505021038592 507695333376 508876161024 518272319488 520802946048 563949338624 565387984896 577166901248 581572755456 592311222272 595203366912 646157697024 659619315712 664654577664 676927111168 678501548032 680232419328 694403928064 740183506944 753850646528 757531557888 759605231616 775430340608 777408479232 793604489216 845924007936 865750351872 886206103552 888466833408 906976559104 986911342592 989428973568 1010042077184 1015390666752 1017752322048 1036544638976 1041605892096 1127898677248 1130775969792 1154333802496 1163145510912 1184622444544 1190406733824 1292315394048 1319238631424 1329309155328 1357003096064 1360464838656 1388807856128 1480367013888 1507701293056 1515063115776 1550860681216 1554816958464 1587208978432 1691848015872 1731500703744 1772412207104 1776933666816 1813953118208 1973822685184 1978857947136 2020084154368 2030781333504 2035504644096 2073089277952 2083211784192 2261551939584 2308667604992 2326291021824 2369244889088 2380813467648 2638477262848 2658618310656 2714006192128 2720929677312 2777615712256 2960734027776 3015402586112 3030126231552 3101721362432 3109633916928 3174417956864 3383696031744 3463001407488 3553867333632 3627906236416 3947645370368 3957715894272 4040168308736 4071009288192 4146178555904 4166423568384 4523103879168 4617335209984 4652582043648 4738489778176 4761626935296 5276954525696 5317236621312 5428012384256 5441859354624 5555231424512 5921468055552 6060252463104 6203442724864 6219267833856 6348835913728 6926002814976 7107734667264 7255812472832 7895290740736 7915431788544 8080336617472 8142018576384 8292357111808 8332847136768 9046207758336 9234670419968 9305164087296 9523253870592 10553909051392 10856024768512 10883718709248 11110462849024 11842936111104 12120504926208 12406885449728 12438535667712 12697671827456 13852005629952 14215469334528 14511624945664 15830863577088 16160673234944 16284037152768 16584714223616 16665694273536 18469340839936 18610328174592 19046507741184 21107818102784 21712049537024 21767437418496 22220925698048 23685872222208 24241009852416 24877071335424 25395343654912 27704011259904 29023249891328 31661727154176 32321346469888 32568074305536 33169428447232 33331388547072 36938681679872 37220656349184 38093015482368 43424099074048 43534874836992 44441851396096 48482019704832 49754142670848 50790687309824 55408022519808 58046499782656 63323454308352 64642692939776 65136148611072 66662777094144 73877363359744 76186030964736 86848198148096 87069749673984 88883702792192 96964039409664 99508285341696 101581374619648 110816045039616 116092999565312 129285385879552 130272297222144 133325554188288 147754726719488 152372061929472 174139499347968 177767405584384 193928078819328 203162749239296 221632090079232 232185999130624 258570771759104 260544594444288 266651108376576 304744123858944 348278998695936 355534811168768 387856157638656 406325498478592 443264180158464 517141543518208 533302216753152 609488247717888 696557997391872 711069622337536 775712315277312 812650996957184 1034283087036416 1066604433506304 1218976495435776 1422139244675072 1551424630554624 1625301993914368 2133208867012608 2437952990871552 2844278489350144 3102849261109248 4266417734025216 4875905981743104 5688556978700288 8532835468050432 11377113957400576 17065670936100864 34131341872201728
- Sum of all divisors σ(n): 116723835707459904
- Sum of proper divisors (its aliquot sum) s(n): 82592493835258176
- 34131341872201728 is an abundant number, because the sum of its proper divisors (82592493835258176) is greater than itself. Its abundance is 48461151963056448
Bases of 34131341872201728
- Binary: 11110010100001001000110010011000000000000000000000000002
- Hexadecimal: 0x7942464C000000
- Base-36: 9C2JTZTKR9C
Squares and roots of 34131341872201728
- 34131341872201728 squared (341313418722017282) is 1164948497997110959050350326185984
- 34131341872201728 cubed (341313418722017283) is 39761255448647304142269260643967842829322894180352
-
The
square root of 34131341872201728 is 184746696.5122833475 -
The
cube root of 34131341872201728 is 324377.7977303533
Scales and comparisons
How big is 34131341872201728?- 34,131,341,872,201,728 seconds is equal to 1,085,271,096 years, 18 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
-
To count from 1 to 34,131,341,872,201,728 would take you about three billion, two hundred fifty-five million, eight hundred thirteen thousand, two hundred eighty-nine 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 34131341872201728 cubic inches would be around 27031.5 feet tall.
Recreational maths with 34131341872201728
- 34131341872201728 backwards is 82710227814313143
- The number of decimal digits it has is: 17
- The sum of 34131341872201728's digits is 57
- More coming soon!
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"Number 34131341872201728 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 34131341872201728 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/34131341872201728/
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The information we have on file for 34131341872201728 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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