134372436988464640
134,372,436,988,464,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 134372436988464640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
134372436988464640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 134372436988464640:
29 × 5 × 7 × 236 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 23 × 23 × 23 × 23 × 23 × 23 × 37 × 37 × 37)See below for interesting mathematical facts about the number 134372436988464640 from the Numbermatics database.
Names of 134372436988464640
- Cardinal: 134372436988464640 can be written as One hundred thirty-four quadrillion, three hundred seventy-two trillion, four hundred thirty-six billion, nine hundred eighty-eight million, four hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3437243698846464 × 1017
Factors of 134372436988464640
Divisors of 134372436988464640
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 28 32 35 37 40 46 56 64 70 74 80 92 112 115 128 140 148 160 161 184 185 224 230 256 259 280 296 320 322 368 370 448 460 512 518 529 560 592 640 644 736 740 805 851 896 920 1036 1058 1120 1184 1280 1288 1295 1369 1472 1480 1610 1702 1792 1840 2072 2116 2240 2368 2560 2576 2590 2645 2738 2944 2960 3220 3404 3584 3680 3703 4144 4232 4255 4480 4736 5152 5180 5290 5476 5888 5920 5957 6440 6808 6845 7360 7406 8288 8464 8510 8960 9472 9583 10304 10360 10580 10952 11776 11840 11914 12167 12880 13616 13690 14720 14812 16576 16928 17020 17920 18515 18944 19166 19573 20608 20720 21160 21904 23680 23828 24334 25760 27232 27380 29440 29624 29785 31487 33152 33856 34040 37030 38332 39146 41216 41440 42320 43808 47360 47656 47915 48668 50653 51520 54464 54760 58880 59248 59570 60835 62974 66304 67712 68080 74060 76664 78292 82432 82880 84640 85169 87616 94720 95312 95830 97336 97865 101306 103040 108928 109520 118496 119140 121670 125948 132608 135424 136160 137011 148120 153328 156584 157435 165760 169280 170338 175232 190624 191660 194672 195730 202612 206080 217856 219040 220409 236992 238280 243340 251896 253265 270848 272320 274022 279841 296240 306656 313168 314870 331520 338560 340676 350464 354571 381248 383320 389344 391460 405224 412160 425845 435712 438080 440818 450179 473984 476560 486680 503792 506530 544640 548044 559682 592480 613312 626336 629740 663040 677120 681352 685055 700928 709142 724201 762496 766640 778688 782920 810448 851690 876160 881636 900358 947968 953120 973360 1007584 1013060 1089280 1096088 1102045 1119364 1165019 1184960 1226624 1252672 1259480 1354240 1362704 1370110 1399205 1418284 1448402 1524992 1533280 1557376 1565840 1620896 1703380 1752320 1763272 1772855 1800716 1895936 1906240 1946720 1958887 2015168 2026120 2178560 2192176 2204090 2238728 2250895 2330038 2369920 2453248 2505344 2518960 2725408 2740220 2798410 2836568 2896804 3049984 3066560 3114752 3131680 3151253 3241792 3406760 3504640 3526544 3545710 3601432 3621005 3812480 3893440 3917774 4030336 4052240 4384352 4408180 4477456 4501790 4660076 4739840 4906496 5010688 5037920 5069407 5450816 5480440 5596820 5673136 5793608 5825095 6133120 6229504 6263360 6302506 6436343 6483584 6813520 7053088 7091420 7202864 7242010 7624960 7786880 7835548 8060672 8104480 8155133 8768704 8816360 8954912 9003580 9320152 9479680 9794435 10021376 10075840 10138814 10354117 10901632 10960880 11193640 11346272 11587216 11650190 12266240 12526720 12605012 12872686 12967168 13627040 14106176 14182840 14405728 14484020 15249920 15573760 15671096 15756265 16121344 16208960 16310266 16656623 17537408 17632720 17909824 18007160 18640304 19588870 20151680 20277628 20708234 21803264 21921760 22387280 22692544 23174432 23300380 24532480 25053440 25210024 25347035 25745372 25934336 26795437 27254080 28212352 28365680 28811456 28968040 31147520 31342192 31512530 32181715 32417920 32620532 33313246 35074816 35265440 35819648 36014320 37280608 39177740 40303360 40555256 40775665 41416468 43606528 43843520 44774560 45054401 45385088 46348864 46600760 50106880 50420048 50694070 51490744 51770585 53590874 54508160 56424704 56731360 57622912 57936080 62684384 63025060 64363430 64835840 65241064 66626492 70149632 70530880 71639296 72028640 72478819 74561216 78355480 80606720 81110512 81551330 82832936 83283115 87687040 89549120 90108802 90770176 92697728 93201520 100840096 101388140 102981488 103541170 107181748 109016320 112849408 113462720 115245824 115872160 116596361 125368768 126050120 128726860 129671680 130482128 133252984 133977185 141061760 143278592 144057280 144957638 148035889 149122432 156710960 162221024 163102660 165665872 166566230 175374080 179098240 180217604 181540352 185395456 186403040 187568059 201680192 202776280 205962976 207082340 214363496 218032640 225272005 226925440 230491648 231744320 233192722 238144691 250737536 252100240 257453720 260964256 266505968 267954370 282123520 288114560 289915276 296071778 298244864 313421920 324442048 326205320 331331744 333132460 350748160 358196480 360435208 362394095 370790912 372806080 375136118 383102329 403360384 405552560 411925952 414164680 428726992 450544010 453850880 463488640 466385444 476289382 501475072 504200480 514907440 521928512 533011936 535908740 564247040 576229120 579830552 582981805 592143556 596489728 616295051 626843840 648884096 652410640 662663488 666264920 716392960 720870416 724788190 740179445 745612160 750272236 766204658 806720768 811105120 823851904 828329360 857453984 901088020 907701760 926977280 932770888 937840295 952578764 1002950144 1008400960 1029814880 1036251223 1043857024 1066023872 1071817480 1152458240 1159661104 1165963610 1184287112 1190723455 1232590102 1253687680 1297768192 1304821280 1325326976 1332529840 1441740832 1449576380 1480358890 1491224320 1500544472 1532409316 1613441536 1622210240 1647703808 1656658720 1667012837 1714907968 1802176040 1853954560 1865541776 1875680590 1905157528 1915511645 2016801920 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12325901020 12977681920 13253269760 13336102696 13408581515 13719263744 14174786173 14417408320 14924334208 15005444720 15241260224 15324093160 16477038080 16580019568 16670128370 17149079680 17256261428 17622707134 18554577664 18655417760 18948593792 19051575280 19721441632 20725024460 20877140480 21320477440 21453730424 21570326785 21909311572 23067853312 23193222080 23685742240 24008711552 24518549056 24651802040 26506539520 26672205392 26817163030 27386639465 28349572346 28834816640 29848668416 30010889440 30482520448 30648186320 33160039136 33340256740 34298159360 34512522856 35245414268 37109155328 37310835520 37897187584 38103150560 38341295251 39442883264 41450048920 42640954880 42907460848 43140653570 43818623144 44056767835 46386444160 47371484480 48017423104 49037098112 49303604080 53344410784 53634326060 54773278930 56699144692 57669633280 59697336832 60021778880 60965040896 61296372640 61679474969 66320078272 66680513480 68596318720 69025045712 70490828536 70873930865 74621671040 75794375168 76206301120 76682590502 78885766528 82900097840 85814921696 86281307140 87637246288 88113535670 92772888320 94742968960 96034846208 98074196224 98607208160 99223503211 106688821568 107268652120 109546557860 113398289384 115339266560 120043557760 121930081792 122592745280 123358949938 132640156544 133361026960 138050091424 140981657072 141747861730 149243342080 152412602240 153365181004 157771533056 165800195680 171629843392 172562614280 175274492576 176227071340 185545776640 189485937920 191706476255 196148392448 197214416320 198447006422 202661132041 213377643136 214537304240 219093115720 226796578768 240087115520 245185490560 246717899876 265280313088 266722053920 276100182848 281963314144 283495723460 298486684160 304825204480 306730362008 308397374845 315543066112 326020081979 331600391360 343259686784 345125228560 350548985152 352454142680 378971875840 383412952510 394428832640 396894012844 405322264082 426755286272 429074608480 438186231440 453593157536 480174231040 490370981120 493435799752 496117516055 530560626176 533444107840 552200365696 563926628288 566991446920 609650408960 613460724016 616794749690 652040163958 663200782720 686519373568 690250457120 701097970304 704908285360 766825905020 788857665280 793788025688 810644528164 853510572544 858149216960 876372462880 907186315072 980741962240 986871599504 992235032110 1013305660205 1066888215680 1104400731392 1127853256576 1133982893840 1226921448032 1233589499380 1304080327916 1326401565440 1373038747136 1380500914240 1402195940608 1409816570720 1418627924287 1533651810040 1577715330560 1587576051376 1621289056328 1630100409895 1716298433920 1752744925760 1814372630144 1973743199008 1984470064220 2026611320410 2133776431360 2208801462784 2255706513152 2267965787680 2282140573853 2453842896064 2467178998760 2608160655832 2652803130880 2761001828480 2804391881216 2819633141440 2837255848574 3067303620080 3175152102752 3242578112656 3260200819790 3432596867840 3505489851520 3628745260288 3947486398016 3968940128440 4053222640820 4267552862720 4511413026304 4535931575360 4564281147706 4907685792128 4934357997520 5216321311664 5522003656960 5639266282880 5674511697148 6134607240160 6350304205504 6485156225312 6520401639580 6865193735680 7010979703040 7093139621435 7257490520576 7498461885517 7894972796032 7937880256880 8106445281640 9071863150720 9128562295412 9815371584256 9868715995040 10432642623328 11044007313920 11278532565760 11349023394296 11410702869265 12269214480320 12700608411008 12970312450624 13040803279160 14021959406080 14186279242870 14996923771034 15789945592064 15875760513760 16212890563280 18143726301440 18257124590824 19630743168512 19737431990080 20865285246656 22557065131520 22698046788592 22821405738530 24538428960640 25401216822016 25940624901248 26081606558320 28372558485740 29993847542068 31579891184128 31751521027520 32425781126560 36287452602880 36514249181648 37492309427585 39474863980160 41730570493312 45396093577184 45642811477060 49076857921280 50802433644032 51881249802496 52163213116640 52489233198619 56745116971480 59987695084136 63503042055040 64851562253120 73028498363296 74984618855170 78949727960320 83461140986624 90792187154368 91285622954120 98153715842560 103762499604992 104326426233280 104978466397238 113490233942960 119975390168272 127006084110080 129703124506240 146056996726592 149969237710340 157899455920640 166922281973248 181584374308736 182571245908240 208652852466560 209956932794476 226980467885920 239950780336544 254012168220160 259406249012480 262446165993095 292113993453184 299938475420680 363168748617472 365142491816480 417305704933120 419913865588952 453960935771840 479901560673088 518812498024960 524892331986190 584227986906368 599876950841360 726337497234944 730284983632960 834611409866240 839827731177904 907921871543680 959803121346176 1049784663972380 1168455973812736 1199753901682720 1460569967265920 1679655462355808 1815843743087360 1919606242692352 2099569327944760 2399507803365440 2921139934531840 3359310924711616 3631687486174720 3839212485384704 4199138655889520 4799015606730880 5842279869063680 6718621849423232 8398277311779040 9598031213461760 13437243698846464 16796554623558080 19196062426923520 26874487397692928 33593109247116160 67186218494232320 134372436988464640
- Sum of all divisors σ(n): 395633634788272320
- Sum of proper divisors (its aliquot sum) s(n): 261261197799807680
- 134372436988464640 is an abundant number, because the sum of its proper divisors (261261197799807680) is greater than itself. Its abundance is 126888760811343040
Bases of 134372436988464640
- Binary: 1110111010110001100000100111111100100110100001110000000002
- Hexadecimal: 0x1DD6304FE4D0E00
- Base-36: 10R31XD1F5DS
Squares and roots of 134372436988464640
- 134372436988464640 squared (1343724369884646402) is 18055951822218900130388424530329600
- 134372436988464640 cubed (1343724369884646403) is 2426222248497862453567959348922891348445017145344000
-
The
square root of 134372436988464640 is 366568461.5299912023 -
The
cube root of 134372436988464640 is 512196.6471145701
Scales and comparisons
How big is 134372436988464640?- 134,372,436,988,464,640 seconds is equal to 4,272,627,854 years, 51 weeks, 5 days, 8 hours, 10 minutes, 40 seconds.
-
To count from 1 to 134,372,436,988,464,640 would take you about twelve billion, eight hundred seventeen million, eight hundred eighty-three thousand, five hundred sixty-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 134372436988464640 cubic inches would be around 42683.1 feet tall.
Recreational maths with 134372436988464640
- 134372436988464640 backwards is 046464889634273431
- The number of decimal digits it has is: 18
- The sum of 134372436988464640's digits is 82
- More coming soon!
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Cite this page
MLA style:
"Number 134372436988464640 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 134372436988464640 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/134372436988464640/
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The information we have on file for 134372436988464640 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 134372436988464640, math, Factors of 134372436988464640, curriculum, school, college, exams, university, Prime factorization of 134372436988464640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quadrillion, three hundred seventy-two trillion, four hundred thirty-six billion, nine hundred eighty-eight million, four hundred sixty-four thousand, six hundred forty.