137408353645031424
137,408,353,645,031,424 is an even composite number composed of five prime numbers multiplied together.
137408353645031424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 137408353645031424:
212 × 33 × 17 × 373 × 1133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 37 × 37 × 37 × 113 × 113 × 113)See below for interesting mathematical facts about the number 137408353645031424 from the Numbermatics database.
Names of 137408353645031424
- Cardinal: 137408353645031424 can be written as One hundred thirty-seven quadrillion, four hundred eight trillion, three hundred fifty-three billion, six hundred forty-five million, thirty-one thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37408353645031424 × 1017
Factors of 137408353645031424
Divisors of 137408353645031424
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 37 48 51 54 64 68 72 74 96 102 108 111 113 128 136 144 148 153 192 204 216 222 226 256 272 288 296 306 333 339 384 408 432 444 452 459 512 544 576 592 612 629 666 678 768 816 864 888 904 918 999 1017 1024 1088 1152 1184 1224 1258 1332 1356 1369 1536 1632 1728 1776 1808 1836 1887 1921 1998 2034 2048 2176 2304 2368 2448 2516 2664 2712 2738 3051 3072 3264 3456 3552 3616 3672 3774 3842 3996 4068 4096 4107 4181 4352 4608 4736 4896 5032 5328 5424 5476 5661 5763 6102 6144 6528 6912 7104 7232 7344 7548 7684 7992 8136 8214 8362 8704 9216 9472 9792 10064 10656 10848 10952 11322 11526 12204 12288 12321 12543 12769 13056 13824 14208 14464 14688 15096 15368 15984 16272 16428 16724 16983 17289 17408 18432 18944 19584 20128 21312 21696 21904 22644 23052 23273 24408 24642 25086 25538 26112 27648 28416 28928 29376 30192 30736 31968 32544 32856 33448 33966 34578 34816 36864 36963 37629 37888 38307 39168 40256 42624 43392 43808 45288 46104 46546 48816 49284 50172 50653 51076 51867 52224 55296 56832 57856 58752 60384 61472 63936 65088 65712 66896 67932 69156 69632 69819 71077 73926 75258 75776 76614 78336 80512 85248 86784 87616 90576 92208 93092 97632 98568 100344 101306 102152 103734 104448 110592 112887 113664 114921 115712 117504 120768 122944 127872 130176 131424 133792 135864 138312 139638 142154 147852 150516 151552 151959 153228 154697 156672 161024 170496 173568 175232 181152 184416 186184 195264 197136 200688 202612 204304 207468 208896 209457 213231 217073 225774 227328 229842 231424 235008 241536 245888 255744 260352 262848 267584 271728 276624 279276 284308 295704 301032 303918 306456 309394 313344 322048 340992 344763 347136 350464 362304 368832 372368 390528 394272 401376 405224 408608 414936 418914 426462 434146 451548 454656 455877 459684 462848 464091 470016 472453 483072 491776 511488 520704 525696 535168 543456 553248 558552 568616 591408 602064 607836 612912 618788 626688 628371 639693 644096 651219 681984 689526 694272 700928 724608 737664 744736 781056 788544 802752 810448 817216 829872 837828 852924 861101 868292 903096 911754 919368 928182 940032 944906 966144 983552 1022976 1041408 1051392 1070336 1086912 1106496 1117104 1137232 1182816 1204128 1215672 1225824 1237576 1256742 1279386 1288192 1302438 1363968 1367631 1379052 1388544 1392273 1401856 1417359 1442897 1449216 1475328 1489472 1562112 1577088 1605504 1620896 1634432 1659744 1675656 1705848 1722202 1736584 1806192 1823508 1838736 1856364 1880064 1889812 1919079 1932288 1953657 1967104 2045952 2082816 2102784 2140672 2173824 2212992 2234208 2274464 2365632 2408256 2431344 2451648 2475152 2513484 2558772 2576384 2583303 2604876 2629849 2735262 2758104 2784546 2803712 2834718 2885794 2898432 2950656 2978944 3124224 3154176 3211008 3241792 3268864 3319488 3351312 3411696 3444404 3473168 3612384 3647016 3677472 3712728 3779624 3838158 3864576 3907314 3934208 4091904 4165632 4176819 4205568 4252077 4281344 4328691 4347648 4425984 4468416 4548928 4731264 4816512 4862688 4903296 4950304 5026968 5117544 5166606 5209752 5259698 5470524 5516208 5569092 5607424 5669436 5723789 5771588 5796864 5860971 5901312 5957888 6248448 6308352 6422016 6483584 6537728 6638976 6702624 6823392 6888808 6946336 7224768 7294032 7354944 7425456 7559248 7676316 7729152 7749909 7814628 7868416 7889547 8031701 8353638 8411136 8504154 8562688 8657382 8695296 8851968 8936832 9097856 9462528 9633024 9725376 9806592 9900608 10053936 10235088 10333212 10419504 10519396 10941048 11032416 11138184 11338872 11447578 11543176 11593728 11721942 11802624 11915776 12496896 12616704 12756231 12844032 12967168 12986073 13075456 13277952 13405248 13646784 13777616 13892672 14449536 14588064 14709888 14850912 15118496 15352632 15499818 15629256 15779094 16063402 16707276 16822272 17008308 17125376 17171367 17314764 17390592 17480761 17703936 17873664 18195712 18925056 19266048 19450752 19613184 19801216 20107872 20470176 20666424 20839008 21038792 21882096 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83356032 84155168 87528384 88259328 89105472 90710976 91580624 92345408 92998908 93775536 94674564 95326208 96380412 97304413 98116996 102049848 103028202 103737344 103888584 104884566 106223616 106774378 107241984 109174272 110220928 111141376 115596288 116704512 117679104 118807296 120947968 122821056 123998544 125034048 126232752 128507216 133658208 136066464 137370936 138518112 139846088 142011846 142989312 144570618 145565696 147175494 151400448 154128384 154542303 155606016 155832876 156905472 157326849 158409728 160161567 160862976 163761408 165331392 166712064 168310336 175056768 176518656 178210944 181421952 183161248 184690816 185997816 187551072 189349128 192760824 194608826 196233992 204099696 206056404 207474688 207777168 209769132 212447232 213548756 214483968 216855927 218348544 220441856 220763241 222282752 231192576 233409024 235358208 237614592 241895936 245642112 247997088 250068096 252465504 257014432 267316416 272132928 274741872 277036224 279692176 284023692 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26595477504 26850448896 27334240768 27757558656 28023670944 28257694848 28528601952 29042630816 30206755008 30751020864 31045831536 31605215888 31743627264 32094677196 32315584512 32672959668 32897847296 32986196007 33580541881 34926560478 35166959616 35555867874 35800598528 36355032576 37010078208 37364894592 37676926464 38038135936 39562829568 39893216256 40275673344 41001361152 41394442048 42035506416 42386542272 42792902928 43563946224 43981594676 46126531296 46568747304 47407823832 47615440896 48473376768 49009439502 49346770944 49819859456 50235901952 52249522176 52750439424 53190955008 53333801811 53700897792 54668481536 55515117312 56047341888 56515389696 57057203904 58085261632 60413510016 61502041728 62091663072 63210431776 64189354392 65345919336 65972392014 67161083762 69853120956 70333919232 71111735748 71601197056 72710065152 73087061741 74020156416 74729789184 75353852928 76076271872 79125659136 79786432512 80551346688 82002722304 82788884096 84071012832 84773084544 85585805856 87127892448 87963189352 92253062592 93137494608 94815647664 95230881792 96946753536 98018879004 98693541888 98958588021 99639718912 100471803904 100741625643 105500878848 106667603622 107401795584 109336963072 111030234624 112094683776 113030779392 114114407808 116170523264 120827020032 123004083456 124183326144 126420863552 128378708784 130691838672 131944784028 134322167524 139706241912 142223471496 145420130304 146174123482 148040312832 149459578368 150707705856 152152543744 158251318272 159572865024 161102693376 164005444608 165577768192 168142025664 169546169088 171171611712 174255784896 175926378704 184506125184 186274989216 189631295328 196037758008 197917176042 199279437824 201483251286 211001757696 213335207244 214803591168 218673926144 219261185223 222060469248 224189367552 226061558784 228228815616 232341046528 241654040064 246008166912 248366652288 252841727104 256757417568 261383677344 263889568056 268644335048 279412483824 284446942992 290840260608 292348246964 296080625664 296875764063 298919156736 301415411712 302224876929 304305087488 316502636544 322205386752 328010889216 331155536384 336284051328 339092338176 342343223424 348511569792 351852757408 369012250368 372549978432 379262590656 392075516016 395834352084 398558875648 402966502572 426670414488 438522370446 444120938496 448378735104 452123117568 456457631232 464682093056 483308080128 492016333824 496733304576 505683454208 513514835136 522767354688 527779136112 537288670096 558824967648 568893885984 584696493928 593751528126 597838313472 604449753858 608610174976 633005273088 644410773504 656021778432 657783555669 662311072768 672568102656 678184676352 684686446848 697023139584 703705514816 738024500736 745099956864 758525181312 784151032032 791668704168 805933005144 853340828976 877044740892 888241876992 896757470208 904246235136 906674630787 912915262464 929364186112 966616160256 984032667648 993466609152 1011366908416 1027029670272 1045534709376 1055558272224 1074577340192 1117649935296 1137787771968 1169392987856 1187503056252 1195676626944 1208899507716 1217220349952 1242480049597 1315567111338 1324622145536 1345136205312 1356369352704 1369372893696 1394046279168 1407411029632 1476049001472 1490199913728 1517050362624 1568302064064 1583337408336 1611866010288 1706681657952 1754089481784 1793514940416 1813349261574 1825830524928 1858728372224 1933232320512 1968065335296 1973350667007 1986933218304 2022733816832 2054059340544 2091069418752 2111116544448 2149154680384 2235299870592 2275575543936 2338785975712 2375006112504 2417799015432 2484960099194 2631134222676 2649244291072 2690272410624 2712738705408 2738745787392 2788092558336 2814822059264 2952098002944 2980399827456 3034100725248 3136604128128 3166674816672 3223732020576 3413363315904 3508178963568 3587029880832 3626698523148 3651661049856 3717456744448 3727440148791 3946701334014 3973866436608 4045467633664 4108118681088 4182138837504 4222233088896 4298309360768 4470599741184 4551151087872 4677571951424 4750012225008 4835598030864 4969920198388 5262268445352 5380544821248 5477491574784 5576185116672 5629644118528 5904196005888 5960799654912 6068201450496 6273208256256 6333349633344 6447464041152 6826726631808 7016357927136 7253397046296 7454880297582 7893402668028 7947732873216 8090935267328 8216237362176 8364277675008 8444466177792 8596618721536 8941199482368 9102302175744 9355143902848 9500024450016 9671196061728 9939840396776 10524536890704 10761089642496 10954983149568 11152370233344 11182320446373 11259288237056 11921599309824 12136402900992 12546416512512 12666699266688 12894928082304 13653453263616 14032715854272 14506794092592 14909760595164 15786805336056 16432474724352 16728555350016 16888932355584 17193237443072 17882398964736 18204604351488 18710287805696 19000048900032 19342392123456 19879680793552 21049073781408 22364640892746 22518576474112 23843198619648 24272805801984 25092833025024 25333398533376 25789856164608 27306906527232 28065431708544 29013588185184 29819521190328 31573610672112 32864949448704 33457110700032 33546961339119 33777864711168 34386474886144 35764797929472 36409208702976 37420575611392 38000097800064 38684784246912 39759361587104 42098147562816 44729281785492 45037152948224 50185666050048 50666797066752 51579712329216 54613813054464 56130863417088 58027176370368 59639042380656 63147221344224 67093922678238 67555729422336 68772949772288 71529595858944 72818417405952 74841151222784 76000195600128 77369568493824 79518723174208 84196295125632 89458563570984 100371332100096 101333594133504 103159424658432 109227626108928 112261726834176 116054352740736 119278084761312 126294442688448 134187845356476 135111458844672 137545899544576 149682302445568 152000391200256 154739136987648 159037446348416 168392590251264 178917127141968 202667188267008 206318849316864 218455252217856 224523453668352 232108705481472 238556169522624 252588885376896 268375690712952 299364604891136 304000782400512 309478273975296 318074892696832 336785180502528 357834254283936 405334376534016 412637698633728 449046907336704 464217410962944 477112339045248 505177770753792 536751381425904 608001564801024 618956547950592 636149785393664 673570361005056 715668508567872 898093814673408 928434821925888 954224678090496 1010355541507584 1073502762851808 1216003129602048 1237913095901184 1272299570787328 1347140722010112 1431337017135744 1856869643851776 1908449356180992 2020711083015168 2147005525703616 2544599141574656 2694281444020224 2862674034271488 3713739287703552 3816898712361984 4041422166030336 4294011051407232 5089198283149312 5725348068542976 7633797424723968 8082844332060672 8588022102814464 11450696137085952 15267594849447936 17176044205628928 22901392274171904 34352088411257856 45802784548343808 68704176822515712 137408353645031424
- Sum of all divisors σ(n): 446960696111136000
- Sum of proper divisors (its aliquot sum) s(n): 309552342466104576
- 137408353645031424 is an abundant number, because the sum of its proper divisors (309552342466104576) is greater than itself. Its abundance is 172143988821073152
Bases of 137408353645031424
- Binary: 1111010000010110000101011011011000010111011110000000000002
- Hexadecimal: 0x1E82C2B6C2EF000
- Base-36: 11KZ727XP1C0
Squares and roots of 137408353645031424
- 137408353645031424 squared (1374083536450314242) is 18881055651438020626234881947467776
- 137408353645031424 cubed (1374083536450314243) is 2594414772144314709301277811832637281779960747393024
-
The
square root of 137408353645031424 is 370686327.8366649227 -
The
cube root of 137408353645031424 is 516025.3598660199
Scales and comparisons
How big is 137408353645031424?- 137,408,353,645,031,424 seconds is equal to 4,369,160,613 years, 50 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,408,353,645,031,424 would take you about thirteen billion, one hundred seven million, four hundred eighty-one thousand, eight hundred forty-one 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 137408353645031424 cubic inches would be around 43002.1 feet tall.
Recreational maths with 137408353645031424
- 137408353645031424 backwards is 424130546353804731
- The number of decimal digits it has is: 18
- The sum of 137408353645031424's digits is 63
- More coming soon!
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"Number 137408353645031424 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 137408353645031424 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/137408353645031424/
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The information we have on file for 137408353645031424 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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