34131138447900672
34,131,138,447,900,672 is an even composite number composed of four prime numbers multiplied together.
What does the number 34131138447900672 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1728 divisors.
34131138447900672 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 34131138447900672:
215 × 38 × 313 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 31 × 73 × 73)See below for interesting mathematical facts about the number 34131138447900672 from the Numbermatics database.
Names of 34131138447900672
- Cardinal: 34131138447900672 can be written as Thirty-four quadrillion, one hundred thirty-one trillion, one hundred thirty-eight billion, four hundred forty-seven million, nine hundred thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 3.4131138447900672 × 1016
Factors of 34131138447900672
Divisors of 34131138447900672
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 73 81 93 96 108 124 128 144 146 162 186 192 216 219 243 248 256 279 288 292 324 372 384 432 438 486 496 512 558 576 584 648 657 729 744 768 837 864 876 961 972 992 1024 1116 1152 1168 1296 1314 1458 1488 1536 1674 1728 1752 1922 1944 1971 1984 2048 2187 2232 2263 2304 2336 2511 2592 2628 2883 2916 2976 3072 3348 3456 3504 3844 3888 3942 3968 4096 4374 4464 4526 4608 4672 5022 5184 5256 5329 5766 5832 5913 5952 6144 6561 6696 6789 6912 7008 7533 7688 7776 7884 7936 8192 8649 8748 8928 9052 9216 9344 10044 10368 10512 10658 11532 11664 11826 11904 12288 13122 13392 13578 13824 14016 15066 15376 15552 15768 15872 15987 16384 17298 17496 17739 17856 18104 18432 18688 20088 20367 20736 21024 21316 22599 23064 23328 23652 23808 24576 25947 26244 26784 27156 27648 28032 29791 30132 30752 31104 31536 31744 31974 32768 34596 34992 35478 35712 36208 36864 37376 40176 40734 41472 42048 42632 45198 46128 46656 47304 47616 47961 49152 51894 52488 53217 53568 54312 55296 56064 59582 60264 61101 61504 62208 63072 63488 63948 67797 69192 69984 70153 70956 71424 72416 73728 74752 77841 80352 81468 82944 84096 85264 89373 90396 92256 93312 94608 95232 95922 98304 103788 104976 106434 107136 108624 110592 112128 119164 120528 122202 123008 124416 126144 126976 127896 135594 138384 139968 140306 141912 142848 143883 144832 147456 149504 155682 159651 160704 162936 165199 165888 168192 170528 178746 180792 183303 184512 186624 189216 190464 191844 203391 207576 209952 210459 212868 214272 217248 221184 224256 233523 238328 241056 244404 246016 248832 252288 253952 255792 268119 271188 276768 279936 280612 283824 285696 287766 289664 294912 299008 311364 319302 321408 325872 330398 331776 336384 341056 357492 361584 366606 369024 373248 378432 380928 383688 406782 415152 419904 420918 425736 428544 431649 434496 442368 448512 467046 476656 478953 482112 488808 492032 495597 497664 504576 507904 511584 536238 542376 549909 553536 559872 561224 567648 571392 575532 579328 598016 622728 631377 638604 642816 651744 660796 663552 672768 682112 700569 714984 723168 733212 738048 746496 756864 761856 767376 804357 813564 830304 839808 841836 851472 857088 863298 868992 884736 897024 934092 953312 957906 964224 977616 984064 991194 995328 1009152 1015808 1023168 1072476 1084752 1099818 1107072 1119744 1122448 1135296 1142784 1151064 1158656 1196032 1245456 1262754 1277208 1285632 1294947 1303488 1321592 1327104 1345536 1364224 1401138 1429968 1446336 1466424 1476096 1486791 1492992 1513728 1523712 1534752 1608714 1627128 1649727 1660608 1679616 1683672 1702944 1714176 1726596 1737984 1794048 1868184 1894131 1906624 1915812 1928448 1955232 1968128 1982388 1990656 2018304 2046336 2101707 2144952 2169504 2174743 2199636 2214144 2239488 2244896 2270592 2285568 2302128 2317312 2392064 2413071 2490912 2525508 2554416 2571264 2589894 2606976 2643184 2654208 2691072 2728448 2802276 2859936 2892672 2932848 2952192 2973582 2985984 3027456 3047424 3069504 3217428 3254256 3299454 3321216 3359232 3367344 3405888 3428352 3453192 3475968 3588096 3736368 3788262 3813248 3831624 3856896 3884841 3910464 3936256 3964776 3981312 4036608 4092672 4203414 4289904 4339008 4349486 4399272 4428288 4460373 4478976 4489792 4541184 4571136 4604256 4634624 4826142 4949181 4981824 5051016 5108832 5121169 5142528 5179788 5213952 5286368 5382144 5456896 5604552 5682393 5719872 5785344 5865696 5904384 5947164 5971968 6054912 6139008 6305121 6434856 6508512 6524229 6598908 6642432 6718464 6734688 6811776 6856704 6906384 6951936 7176192 7239213 7472736 7576524 7626496 7663248 7713792 7769682 7820928 7872512 7929552 7962624 8073216 8185344 8406828 8579808 8678016 8698972 8798544 8856576 8920746 8957952 8979584 9082368 9142272 9208512 9269248 9652284 9898362 9963648 10102032 10217664 10242338 10285056 10359576 10427904 10572736 10764288 10913792 11209104 11364786 11439744 11570688 11654523 11731392 11808768 11894328 11943936 12109824 12278016 12610242 12869712 13017024 13048458 13197816 13284864 13381119 13436928 13469376 13623552 13713408 13812768 13903872 14478426 14847543 14945472 15153048 15252992 15326496 15363507 15427584 15539364 15641856 15745024 15859104 16146432 16370688 16813656 17047179 17159616 17356032 17397944 17597088 17713152 17841492 17915904 17959168 18164736 18417024 18538496 19304568 19572687 19796724 19927296 20204064 20435328 20484676 20570112 20719152 20855808 21145472 21528576 21717639 21827584 22418208 22729572 22879488 23141376 23309046 23462784 23617536 23788656 23887872 24219648 24556032 25220484 25739424 26034048 26096916 26395632 26569728 26762238 26873856 26938752 27247104 27426816 27625536 27807744 28956852 29695086 29890944 30306096 30505984 30652992 30727014 30855168 31078728 31283712 31490048 31718208 32292864 32741376 33627312 34094358 34319232 34712064 34795888 34963569 35194176 35426304 35682984 35831808 35918336 36329472 36834048 37076992 38609136 39145374 39593448 39854592 40143357 40408128 40870656 40969352 41140224 41438304 41711616 42290944 43435278 43655168 44836416 45459144 45758976 46090521 46282752 46618092 46925568 47235072 47577312 48439296 49112064 50440968 51141537 51478848 52068096 52193832 52791264 53139456 53524476 53747712 53877504 54494208 55251072 55615488 57913704 58718061 59390172 59781888 60612192 61011968 61305984 61454028 61710336 62157456 62567424 63436416 64585728 65152917 65482752 67254624 68188716 68638464 69424128 69591776 69927138 70388352 70852608 71365968 71663616 71836672 72658944 73668096 74153984 77218272 78290748 79186896 79709184 80286714 80816256 81741312 81938704 82280448 82876608 83423232 84581888 86870556 87310336 89672832 90918288 91517952 92181042 92565504 93236184 93851136 94470144 95154624 96878592 98224128 100881936 102283074 102957696 104136192 104387664 105582528 106278912 107048952 107495424 107755008 108988416 110502144 111230976 115827408 117436122 118780344 119563776 120430071 121224384 122023936 122611968 122908056 123420672 124314912 125134848 126872832 130305834 130965504 134509248 136377432 137276928 138271563 138848256 139183552 139854276 140776704 141705216 142731936 143673344 145317888 147336192 153424611 154436544 156581496 158373792 158756239 159418368 160573428 161632512 163482624 163877408 165753216 166846464 169163776 173741112 174620672 176154183 179345664 181836576 183035904 184362084 185131008 186472368 187702272 190309248 193757184 195458751 196448256 201763872 204566148 205915392 208272384 208775328 211165056 212557824 214097904 214990848 215510016 217976832 221004288 222461952 231654816 234872244 237560688 239127552 240860142 242448768 244047872 245223936 245816112 246841344 248629824 250269696 253745664 260611668 261931008 269018496 272754864 274553856 276543126 277696512 278367104 279708552 281553408 283410432 285463872 287346688 290635776 294672384 306849222 308873088 313162992 316747584 317512478 318836736 321146856 323265024 326965248 327754816 331506432 333692928 338327552 347482224 352308366 358691328 361290213 363673152 366071808 368724168 370262016 372944736 375404544 380618496 390917502 392896512 403527744 409132296 411830784 414814689 416544768 417550656 422330112 425115648 428195808 431020032 435953664 442008576 460273833 463309632 469744488 475121376 476268717 478255104 481720284 484897536 488095744 490447872 491632224 497259648 500539392 507491328 521223336 523862016 528462549 538036992 545509728 549107712 553086252 555393024 556734208 559417104 563106816 570927744 574693376 581271552 589344768 613698444 617746176 626325984 633495168 635024956 637673472 642293712 646530048 653930496 655509632 663012864 667385856 676655104 694964448 704616732 717382656 722580426 727346304 732143616 737448336 740524032 745889472 750809088 761236992 781835004 785793024 807055488 818264592 823661568 829629378 833089536 835101312 844660224 850231296 856391616 862040064 871907328 884017152 920547666 926619264 939488976 950242752 952537434 956510208 963440568 969795072 976191488 980895744 983264448 994519296 1001078784 1014982656 1042446672 1056925098 1076073984 1083870639 1091019456 1098215424 1106172504 1110786048 1113468416 1118834208 1126213632 1141855488 1149386752 1178689536 1227396888 1235492352 1244444067 1252651968 1266990336 1270049912 1275346944 1284587424 1293060096 1307860992 1311019264 1326025728 1353310208 1389928896 1409233464 1428806151 1434765312 1445160852 1454692608 1464287232 1474896672 1491778944 1501618176 1522473984 1563670008 1571586048 1585387647 1614110976 1636529184 1647323136 1659258756 1666179072 1670202624 1689320448 1712783232 1724080128 1743814656 1768034304 1841095332 1853238528 1878977952 1900485504 1905074868 1913020416 1926881136 1939590144 1961791488 1966528896 1989038592 2002157568 2029965312 2084893344 2113850196 2152147968 2167741278 2182038912 2196430848 2212345008 2221572096 2226936832 2237668416 2252427264 2283710976 2298773504 2357379072 2454793776 2470984704 2488888134 2505303936 2533980672 2540099824 2550693888 2569174848 2586120192 2615721984 2622038528 2652051456 2706620416 2779857792 2818466928 2857612302 2869530624 2890321704 2909385216 2928574464 2949793344 2983557888 3003236352 3044947968 3127340016 3170775294 3228221952 3273058368 3294646272 3318517512 3332358144 3340405248 3378640896 3425566464 3448160256 3536068608 3682190664 3706477056 3733332201 3757955904 3800971008 3810149736 3826040832 3853762272 3879180288 3923582976 3933057792 3978077184 4059930624 4169786688 4227700392 4286418453 4304295936 4335482556 4364077824 4392861696 4424690016 4453873664 4475336832 4504854528 4567421952 4714758144 4756162941 4909587552 4941969408 4977776268 5010607872 5067961344 5080199648 5138349696 5172240384 5231443968 5244077056 5304102912 5413240832 5559715584 5636933856 5715224604 5739061248 5780643408 5818770432 5899586688 5967115776 6006472704 6089895936 6254680032 6341550588 6456443904 6546116736 6589292544 6637035024 6664716288 6680810496 6757281792 6851132928 6896320512 7072137216 7364381328 7412954112 7466664402 7515911808 7601942016 7620299472 7652081664 7707524544 7758360576 7847165952 7866115584 7956154368 8119861248 8339573376 8455400784 8572836906 8608591872 8670965112 8728155648 8785723392 8849380032 8907747328 8950673664 9009709056 9134843904 9512325882 9819175104 9883938816 9955552536 10021215744 10135922688 10160399296 10276699392 10344480768 10488154112 10608205824 11119431168 11199996603 11273867712 11430449208 11478122496 11561286816 11637540864 11799173376 11934231552 12179791872 12509360064 12683101176 12859255359 12912887808 13092233472 13178585088 13274070048 13361620992 13514563584 13702265856 14144274432 14268488823 14728762656 14825908224 14933328804 15031823616 15203884032 15240598944 15415049088 15516721152 15694331904 15732231168 15912308736 16239722496 16679146752 16910801568 17145673812 17217183744 17341930224 17456311296 17698760064 17815494656 17901347328 18019418112 18269687808 19024651764 19638350208 19767877632 19911105072 20042431488 20271845376 20320798592 20553398784 20688961536 20976308224 21216411648 22238862336 22399993206 22547735424 22860898416 22956244992 23122573632 23275081728 23598346752 23868463104 24359583744 25018720128 25366202352 25718510718 25825775616 26184466944 26357170176 26548140096 26723241984 27029127168 27404531712 28536977646 29457525312 29651816448 29866657608 30063647232 30407768064 30481197888 30830098176 31033442304 31464462336 31824617472 33358293504 33599989809 33821603136 34291347624 34434367488 34683860448 34912622592 35397520128 35630989312 35802694656 36539375616 38049303528 38577766077 39276700416 39535755264 39822210144 40084862976 40543690752 40641597184 41106797568 41952616448 42432823296 44477724672 44799986412 45095470848 45721796832 46245147264 46550163456 47196693504 47736926208 48719167488 50037440256 50732404704 51437021436 51651551232 52368933888 53096280192 53446483968 54058254336 54809063424 57073955292 58915050624 59303632896 59733315216 60127294464 60815536128 60962395776 61660196352 62066884608 62928924672 63649234944 66716587008 67199979618 67643206272 68582695248 68868734976 69367720896 69825245184 70795040256 71261978624 71605389312 73078751232 76098607056 77155532154 78553400832 79071510528 79644420288 80169725952 81087381504 81283194368 82213595136 83905232896 88955449344 89599972824 90190941696 91443593664 92490294528 93100326912 94393387008 95473852416 100074880512 101464809408 102874042872 103303102464 104737867776 106192560384 106892967936 109618126848 114147910584 115733298231 117830101248 118607265792 119466630432 120254588928 121631072256 121924791552 123320392704 125857849344 127298469888 133433174016 134399959236 135286412544 137165390496 138735441792 139650490368 141590080512 143210778624 146157502464 152197214112 154311064308 157106801664 159288840576 160339451904 162174763008 162566388736 164427190272 167810465792 177910898688 179199945648 180381883392 182887187328 184980589056 186200653824 188786774016 190947704832 200149761024 202929618816 205748085744 206606204928 209475735552 212385120768 213785935872 219236253696 228295821168 231466596462 235660202496 237214531584 238933260864 240509177856 243262144512 243849583104 246640785408 251715698688 266866348032 268799918472 270572825088 274330780992 277470883584 279300980736 283180161024 286421557248 304394428224 308622128616 314213603328 318577681152 320678903808 325132777472 328854380544 347199894693 355821797376 358399891296 360763766784 365774374656 369961178112 377573548032 381895409664 400299522048 405859237632 411496171488 418951471104 424770241536 438472507392 456591642336 462933192924 471320404992 477866521728 481018355712 486524289024 487699166208 493281570816 503431397376 533732696064 537599836944 541145650176 548661561984 554941767168 558601961472 566360322048 572843114496 608788856448 617244257232 628427206656 637155362304 641357807616 650265554944 657708761088 694399789386 711643594752 716799782592 721527533568 731548749312 739922356224 755147096064 800599044096 811718475264 822992342976 837902942208 849540483072 913183284672 925866385848 942640809984 955733043456 962036711424 975398332416 986563141632 1041599684079 1067465392128 1075199673888 1082291300352 1097323123968 1109883534336 1132720644096 1145686228992 1217577712896 1234488514464 1256854413312 1274310724608 1300531109888 1315417522176 1388799578772 1433599565184 1443055067136 1463097498624 1479844712448 1510294192128 1601198088192 1623436950528 1645984685952 1675805884416 1699080966144 1826366569344 1851732771696 1885281619968 1911466086912 1924073422848 1950796664832 1973126283264 2083199368158 2134930784256 2150399347776 2164582600704 2194646247936 2219767068672 2265441288192 2435155425792 2468977028928 2513708826624 2548621449216 2601062219776 2777599157544 2867199130368 2886110134272 2926194997248 2959689424896 3202396176384 3246873901056 3291969371904 3398161932288 3652733138688 3703465543392 3770563239936 3822932173824 3901593329664 3946252566528 4166398736316 4300798695552 4329165201408 4389292495872 4439534137344 4530882576384 4870310851584 4937954057856 5027417653248 5097242898432 5202124439552 5555198315088 5734398260736 5772220268544 5852389994496 5919378849792 6404792352768 6493747802112 6583938743808 6796323864576 7305466277376 7406931086784 7541126479872 7645864347648 7803186659328 8332797472632 8601597391104 8658330402816 8778584991744 8879068274688 9740621703168 9875908115712 10194485796864 11110396630176 11468796521472 11704779988992 11838757699584 12987495604224 13167877487616 13592647729152 14610932554752 14813862173568 15082252959744 15291728695296 15606373318656 16665594945264 17203194782208 17316660805632 17557169983488 17758136549376 19481243406336 19751816231424 20388971593728 22220793260352 22937593042944 23409559977984 25974991208448 26335754975232 29221865109504 29627724347136 30583457390592 33331189890528 34406389564416 35114339966976 35516273098752 38962486812672 39503632462848 40777943187456 44441586520704 45875186085888 46819119955968 51949982416896 52671509950464 58443730219008 59255448694272 61166914781184 66662379781056 68812779128832 70228679933952 77924973625344 79007264925696 88883173041408 91750372171776 105343019900928 116887460438016 118510897388544 122333829562368 133324759562112 137625558257664 140457359867904 155849947250688 158014529851392 177766346082816 183500744343552 210686039801856 233774920876032 237021794777088 266649519124224 275251116515328 316029059702784 355532692165632 367001488687104 421372079603712 467549841752064 474043589554176 533299038248448 550502233030656 632058119405568 711065384331264 948087179108352 1066598076496896 1101004466061312 1264116238811136 1422130768662528 1896174358216704 2133196152993792 2844261537325056 3792348716433408 4266392305987584 5688523074650112 8532784611975168 11377046149300224 17065569223950336 34131138447900672
- Sum of all divisors σ(n): 107268585412173120
- Sum of proper divisors (its aliquot sum) s(n): 73137446964272448
- 34131138447900672 is an abundant number, because the sum of its proper divisors (73137446964272448) is greater than itself. Its abundance is 39006308516371776
Bases of 34131138447900672
- Binary: 11110010100001000010110111011101111011110000000000000002
- Hexadecimal: 0x794216EEF78000
- Base-36: 9C2H8JK0000
Squares and roots of 34131138447900672
- 34131138447900672 squared (341311384479006722) is 1164934611749763493264483978051584
- 34131138447900672 cubed (341311384479006723) is 39760544516382594694750337627897432125129724264448
-
The
square root of 34131138447900672 is 184746145.9622383355 -
The
cube root of 34131138447900672 is 324377.1532937517
Scales and comparisons
How big is 34131138447900672?- 34,131,138,447,900,672 seconds is equal to 1,085,264,628 years, 5 weeks, 1 day, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 34,131,138,447,900,672 would take you about three billion, two hundred fifty-five million, seven hundred ninety-three thousand, eight hundred eighty-four 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 34131138447900672 cubic inches would be around 27031.4 feet tall.
Recreational maths with 34131138447900672
- 34131138447900672 backwards is 27600974483113143
- The number of decimal digits it has is: 17
- The sum of 34131138447900672's digits is 63
- 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 34131138447900672 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 34131138447900672 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/34131138447900672/
Chicago style:
Numbermatics. 2024. "Number 34131138447900672 - Facts about the integer". https://numbermatics.com/n/34131138447900672/
The information we have on file for 34131138447900672 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 34131138447900672, math, Factors of 34131138447900672, curriculum, school, college, exams, university, Prime factorization of 34131138447900672, STEM, science, technology, engineering, physics, economics, calculator, thirty-four quadrillion, one hundred thirty-one trillion, one hundred thirty-eight billion, four hundred forty-seven million, nine hundred thousand, six hundred seventy-two.