137712533431968
137,712,533,431,968 is an even composite number composed of five prime numbers multiplied together.
137712533431968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137712533431968:
25 × 35 × 112 × 173 × 313
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 17 × 17 × 17 × 31 × 31 × 31)See below for interesting mathematical facts about the number 137712533431968 from the Numbermatics database.
Names of 137712533431968
- Cardinal: 137712533431968 can be written as One hundred thirty-seven trillion, seven hundred twelve billion, five hundred thirty-three million, four hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37712533431968 × 1014
Factors of 137712533431968
Divisors of 137712533431968
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 31 32 33 34 36 44 48 51 54 62 66 68 72 81 88 93 96 99 102 108 121 124 132 136 144 153 162 176 186 187 198 204 216 242 243 248 264 272 279 288 289 297 306 324 341 352 363 372 374 396 408 432 459 484 486 496 527 528 544 558 561 578 594 612 648 682 726 744 748 792 816 837 864 867 891 918 961 968 972 992 1023 1054 1056 1089 1116 1122 1156 1188 1224 1296 1364 1377 1452 1488 1496 1581 1584 1632 1674 1683 1734 1782 1836 1922 1936 1944 2046 2057 2108 2178 2232 2244 2312 2376 2448 2511 2592 2601 2673 2728 2754 2883 2904 2976 2992 3069 3162 3168 3179 3267 3348 3366 3468 3564 3672 3751 3844 3872 3888 4092 4114 4131 4216 4356 4464 4488 4624 4743 4752 4896 4913 5022 5049 5202 5346 5456 5508 5766 5797 5808 5984 6138 6171 6324 6358 6534 6696 6732 6936 7128 7344 7502 7533 7688 7776 7803 8184 8228 8262 8432 8649 8712 8928 8959 8976 9207 9248 9486 9504 9537 9801 9826 10044 10098 10404 10571 10692 10912 11016 11253 11532 11594 11616 12276 12342 12648 12716 13068 13392 13464 13872 14229 14256 14688 14739 15004 15066 15147 15376 15606 16337 16368 16456 16524 16864 17298 17391 17424 17918 17952 18414 18513 18972 19074 19602 19652 20088 20196 20808 21142 21384 22032 22506 23064 23188 23409 24552 24684 25296 25432 25947 26136 26784 26877 26928 27621 27744 28458 28512 28611 29403 29478 29791 30008 30132 30294 30752 31212 31713 32674 32736 32912 33048 33759 34596 34782 34848 34969 35836 36828 37026 37944 38148 39204 39304 40176 40392 41616 42284 42687 42768 44064 44217 45012 45441 46128 46376 46818 49011 49104 49368 50592 50864 51894 52173 52272 53754 53856 54043 55242 55539 56916 57222 58806 58956 59582 60016 60264 60588 62424 63426 63767 65348 65824 66096 67518 69192 69564 69938 70227 71672 73656 74052 75888 76296 77841 78408 78608 80352 80631 80784 82863 83232 84568 85374 85536 85833 88434 89373 90024 90882 92256 92752 93636 95139 98022 98208 98549 98736 101277 101728 103788 104346 104544 104907 107508 108086 110484 111078 113832 114444 116281 117612 117912 119164 120032 120528 121176 124848 126852 127534 128061 130696 132192 132651 135036 138384 139128 139876 140454 143344 147033 147312 148104 151776 152303 152592 155682 156519 156816 157216 161262 161568 162129 165726 166617 169136 170748 171666 176868 178746 179707 180048 181764 185504 187272 190278 191301 196044 197098 197472 202554 207576 208692 209814 215016 216172 220968 222156 227664 228888 232562 233523 235224 235824 238328 241056 241893 242352 249696 253704 255068 256122 257499 261392 265302 268119 270072 276768 277729 278256 279752 280908 285417 286688 294066 294624 295647 296208 303831 304606 305184 311364 313038 313632 314721 322524 324258 327701 331452 333234 338272 341496 343332 348843 353736 357492 359414 360096 363528 374544 380556 382602 392088 394196 397953 405108 415152 417384 419628 430032 432344 441099 441936 444312 455328 456909 457776 465124 467046 469557 470448 471648 476656 483786 484704 486387 499851 506447 507408 510136 512244 514998 522784 530604 536238 539121 540144 555458 556512 559504 561816 570834 573903 588132 591294 592416 594473 607662 609212 622728 626076 629442 645048 648516 655402 662904 666468 682992 686664 697686 707472 714984 718828 725679 727056 749088 761112 765204 772497 784176 788392 795906 804357 810216 830304 833187 834768 839256 856251 860064 864688 882198 883872 886941 888624 911493 913818 915552 930248 934092 939114 940896 944163 953312 967572 972774 983103 999702 1012894 1014816 1020272 1024488 1029996 1046529 1061208 1072476 1078242 1080288 1084039 1110916 1119008 1123632 1141668 1147806 1176264 1182588 1188946 1193859 1215324 1218424 1245456 1252152 1258884 1290096 1297032 1310804 1323297 1325808 1332936 1365984 1370727 1373328 1395372 1408671 1414944 1429968 1437656 1451358 1454112 1459161 1519341 1522224 1530408 1544994 1568352 1576784 1591812 1608714 1617363 1620432 1666374 1669536 1675333 1678512 1712502 1721709 1729376 1764396 1773882 1777248 1783419 1822986 1827636 1860496 1868184 1878228 1888326 1935144 1945548 1966206 1976777 1999404 2025788 2040544 2048976 2059992 2093058 2122416 2144952 2156484 2168078 2177037 2221832 2247264 2283336 2295612 2352528 2365176 2377892 2387718 2413071 2430648 2436848 2490912 2499561 2504304 2517768 2568753 2580192 2594064 2621608 2646594 2651616 2660823 2665872 2741454 2746656 2790744 2817342 2832489 2859936 2875312 2902716 2918322 2949309 3038682 3044448 3055019 3060816 3089988 3139587 3153568 3183624 3217428 3234726 3240864 3252117 3332748 3350666 3357024 3425004 3443418 3528792 3547764 3566838 3604711 3645972 3655272 3720992 3736368 3756456 3776652 3870288 3891096 3932412 3953554 3969891 3998808 4051576 4097952 4112181 4119984 4186116 4244832 4289904 4312968 4336156 4354074 4377483 4443664 4558023 4566672 4591224 4705056 4721393 4730352 4755784 4775436 4826142 4852089 4861296 4873696 4999122 5008608 5025999 5035536 5137506 5165127 5188128 5243216 5293188 5321646 5331744 5350257 5482908 5570917 5581488 5634684 5664978 5750624 5805432 5836644 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16744464 16994934 17219198 17251872 17344624 17416296 17509932 17695854 17790993 18232092 18330114 18364896 18428663 18837522 18885572 19023136 19101744 19304568 19408356 19512702 19996488 20103996 20550024 20660508 21172752 21286584 21401028 21628266 21931632 22283668 22496049 22538736 22659912 23221728 23346576 23594472 23721324 23947407 24309456 24440152 24673086 24719904 25116696 25739424 25828797 25877808 26016936 26264898 26543781 26661984 26805328 27348138 27400032 27495171 27547344 28256283 28328358 28382112 28534704 28837688 28956852 29112534 29167776 29269053 29994732 30155994 30213216 30990762 31459296 31628432 31759128 31929876 32101542 32442399 32897448 33425502 33488928 33605209 33989868 34438396 34689248 34832592 35019864 35391708 35581986 36464184 36660228 36857326 37009629 37675044 37771144 38203488 38609136 38816712 39025404 39992976 40207992 41022207 41100048 41321016 42345504 42492537 42573168 42802056 43256532 43668801 43863264 44567336 44992098 45077472 45233991 45319824 46693152 47188944 47442648 47894814 48152313 48618912 48880304 49346172 50138253 50233392 51657594 51755616 51935323 52033872 52529796 53087562 53372979 53610656 54696276 54990342 55094688 55285989 56512566 56656716 57069408 57675376 57913704 58225068 58538106 59989464 60311988 61280087 61981524 63256864 63518256 63859752 64203084 64884798 65794896 66851004 67210418 67488147 67979736 68876792 69665184 70039728 70783416 71163972 72928368 73320456 73714652 74019258 75350088 75542288 77218272 77486391 77633424 78050808 79631343 79985952 80415984 82044414 82200096 82485513 82642032 84985074 85146336 85604112 86513064 87337602 87807159 89134672 89984196 90467982 90639648 94377888 94705589 94885296 95789628 96304626 97327197 97760608 98692344 100276506 100466784 100815627 103315188 103870646 104067744 105059592 106175124 106745958 109392552 109980684 110571978 113025132 113313432 115350752 115827408 116450136 117076212 119978928 120623976 122560174 123066621 123963048 127036512 127477611 127719504 128406168 129769596 131589792 133702008 134420836 134976294 135701973 135959472 137753584 140079456 141566832 142327944 144456939 145856736 146363183 146640912 147429304 148038516 150414759 150700176 151084576 154972782 155266848 155805969 156101616 159262686 160118937 160831968 164088828 164971026 165284064 165857967 169970148 171208224 173026128 174675204 175614318 178269344 179968392 180935964 183840261 189411178 189770592 191579256 192609252 194654394 197384688 200553012 201631254 206630376 207741292 210119184 212350248 213491916 218785104 219961368 221143956 226050264 226626864 231654816 232459173 232900272 234152424 239957856 241247952 245120348 246133242 247456539 247926096 254955222 255439008 256812336 259539192 263421477 267404016 268841672 269952588 271403946 271918944 275507168 283133664 284116767 284655888 288913878 291981591 292726366 293281824 294858608 296077032 300829518 301400352 302446881 309945564 311611938 312203232 318525372 320237874 328177656 329942052 331715934 339940296 346052256 349350408 351228636 359936784 361871928 367680522 378822356 382432833 383158512 385218504 389308788 394769376 401106024 403262508 407105919 413260752 415482584 420238368 424700496 426983832 437570208 439089549 439922736 442287912 451244277 452100528 453253728 464918346 465800544 467417907 468304848 480356811 482495904 490240696 492266484 494913078 495852192 497573901 509910444 513624672 519078384 526842954 534808032 537683344 539905176 542807892 551520783 568233534 569311776 571288553 577827756 583963182 585452732 589717216 592154064 601659036 604893762 619891128 623223876 637050744 640475748 656355312 659884104 663431868 679880592 697377519 698700816 702457272 719873568 723743856 735361044 742369617 757644712 764865666 766317024 770437008 778617576 802212048 806525016 814211838 826521504 830965168 849400992 852350301 853967664 875944773 878179098 879845472 884575824 902488554 904201056 907340643 929836692 934835814 936609696 960713622 980481392 984532968 989826156 995147802 1019820888 1038156768 1041761479 1053685908 1075366688 1079810352 1085615784 1103041566 1136467068 1142577106 1147298499 1155655512 1167926364 1170905464 1184308128 1203318072 1209787524 1239782256 1246447752 1274101488 1280951496 1312710624 1317268647 1319768208 1326863736 1353732831 1359761184 1394755038 1397401632 1402253721 1404914544 1447487712 1470722088 1484739234 1492721703 1515289424 1529731332 1540874016 1557235152 1604424096 1609995013 1613050032 1628423676 1654562349 1661930336 1704700602 1707935328 1713865659 1751889546 1756358196 1769151648 1804977108 1814681286 1859673384 1869671628 1921427244 1960962784 1969065936 1979652312 1990295604 2039641776 2083522958 2092132557 2107371816 2159620704 2171231568 2206083132 2272934136 2285154212 2294596998 2311311024 2335852728 2341810928 2406636144 2419575048 2479564512 2492895504 2548202976 2557050903 2561902992 2634537294 2639536416 2653727472 2707465662 2722021929 2789510076 2804507442 2809829088 2941444176 2969478468 2985443406 3030578848 3059462664 3114470304 3125284437 3219990026 3226100064 3256847352 3309124698 3409401204 3427731318 3503779092 3512716392 3609954216 3629362572 3719346768 3739343256 3842854488 3938131872 3951805941 3959304624 3980591208 4079283552 4167045916 4184265114 4206761163 4214743632 4342463136 4412166264 4478165109 4545868272 4570308424 4589193996 4622622048 4671705456 4683621856 4813272288 4829985039 4839150096 4963687047 4985791008 5114101806 5123805984 5141596977 5269074588 5307454944 5414931324 5444043858 5579020152 5609014884 5882888352 5938956936 5970886812 6118925328 6250568874 6439980052 6513694704 6618249396 6818802408 6855462636 7007558184 7025432784 7219908432 7258725144 7438693536 7478686512 7671152709 7685708976 7903611882 7918609248 7961182416 8166065787 8334091832 8368530228 8413522326 8429487264 8824332528 8956330218 9091736544 9140616848 9178387992 9343410912 9375853311 9659970078 9678300192 9927374094 10228203612 10283193954 10538149176 10829862648 10888087716 11158040304 11218029768 11855417823 11877913872 11941773624 12237850656 12501137748 12620283489 12879960104 13027389408 13236498792 13637604816 13710925272 14015116368 14050865568 14439816864 14489955117 14517450288 14891061141 14957373024 15342305418 15371417952 15424790931 15807223764 15922364832 16332131574 16668183664 16737060456 16827044652 17648665056 17709945143 17912660436 18281233696 18356775984 18751706622 19319940156 19854748188 20456407224 20566387908 21076298352 21659725296 21776175432 22316080608 22436059536 23013458127 23710835646 23755827744 23883547248 25002275496 25240566978 25759920208 26472997584 27275209632 27421850544 28030232736 28127559933 28979910234 29034900576 29782122282 30684610836 30849581862 31614447528 32664263148 33336367328 33474120912 33654089304 35419890286 35566253469 35825320872 36713551968 37503413244 38639880312 39709496376 40912814448 41132775816 42152596704 43319450592 43469865351 43552350864 44872119072 46026916254 46274372793 47421671292 47767094496 50004550992 50481133956 51519840416 52945995168 53129835429 54843701088 56255119866 57959820468 59564244564 61369221672 61699163724 63228895056 65328526296 66948241824 67308178608 70839780572 71132506938 71650641744 75006826488 77279760624 79418992752 81825628896 82265551632 84382679799 86939730702 87104701728 92053832508 92548745586 94843342584 100009101984 100962267912 106259670858 112510239732 115919640936 119128489128 122738443344 123398327448 126457790112 130409596053 130657052592 134616357216 138823118379 141679561144 142265013876 143301283488 150013652976 154559521248 158837985504 159389506287 164531103264 168765359598 173879461404 184107665016 185097491172 189686685168 201924535824 212519341716 225020479464 231839281872 238256978256 245476886688 246796654896 253148039397 260819192106 261314105184 277646236758 283359122288 284530027752 300027305952 318779012574 337530719196 347758922808 368215330032 370194982344 379373370336 391228788159 403849071648 425038683432 450040958928 463678563744 476513956512 478168518861 493593309792 506296078794 521638384212 555292473516 566718244576 569060055504 637558025148 675061438392 695517845616 736430660064 740389964688 782457576318 850077366864 900081917856 956337037722 1012592157588 1043276768424 1110584947032 1138120111008 1275116050296 1350122876784 1391035691232 1434505556583 1480779929376 1564915152636 1700154733728 1912674075444 2025184315176 2086553536848 2221169894064 2550232100592 2700245753568 2869011113166 3129830305272 3825348150888 4050368630352 4173107073696 4303516669749 4442339788128 5100464201184 5738022226332 6259660610544 7650696301776 8100737260704 8607033339498 11476044452664 12519321221088 15301392603552 17214066678996 22952088905328 34428133357992 45904177810656 68856266715984 137712533431968
- Sum of all divisors σ(n): 490104993530880
- Sum of proper divisors (its aliquot sum) s(n): 352392460098912
- 137712533431968 is an abundant number, because the sum of its proper divisors (352392460098912) is greater than itself. Its abundance is 214679926666944
Bases of 137712533431968
- Binary: 111110100111111101100101010001011100110101000002
- Hexadecimal: 0x7D3FB2A2E6A0
- Base-36: 1CTC9IRU00
Squares and roots of 137712533431968
- 137712533431968 squared (1377125334319682) is 18964741864250904096484353024
- 137712533431968 cubed (1377125334319683) is 2611682648009295764283671190551402799071232
-
The
square root of 137712533431968 is 11735098.3562971469 -
The
cube root of 137712533431968 is 51640.5852993285
Scales and comparisons
How big is 137712533431968?- 137,712,533,431,968 seconds is equal to 4,378,832 years, 30 weeks, 4 days, 20 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,712,533,431,968 would take you about ten million, nine hundred forty-seven thousand and eighty-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 137712533431968 cubic inches would be around 4303.4 feet tall.
Recreational maths with 137712533431968
- 137712533431968 backwards is 869134335217731
- The number of decimal digits it has is: 15
- The sum of 137712533431968's digits is 63
- More coming soon!
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"Number 137712533431968 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 137712533431968 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/137712533431968/
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The information we have on file for 137712533431968 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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