137452421481984
137,452,421,481,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 137452421481984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
137452421481984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137452421481984:
29 × 32 × 73 × 193 × 31 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 19 × 19 × 31 × 409)See below for interesting mathematical facts about the number 137452421481984 from the Numbermatics database.
Names of 137452421481984
- Cardinal: 137452421481984 can be written as One hundred thirty-seven trillion, four hundred fifty-two billion, four hundred twenty-one million, four hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37452421481984 × 1014
Factors of 137452421481984
Divisors of 137452421481984
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 31 32 36 38 42 48 49 56 57 62 63 64 72 76 84 93 96 98 112 114 124 126 128 133 144 147 152 168 171 186 192 196 217 224 228 248 252 256 266 279 288 294 304 336 342 343 361 372 384 392 399 409 434 441 448 456 496 504 512 532 558 576 588 589 608 651 672 684 686 722 744 768 784 798 818 868 882 896 912 931 992 1008 1029 1064 1083 1116 1152 1176 1178 1197 1216 1227 1302 1344 1368 1372 1444 1488 1519 1536 1568 1596 1636 1736 1764 1767 1792 1824 1862 1953 1984 2016 2058 2128 2166 2232 2304 2352 2356 2394 2432 2454 2527 2604 2688 2736 2744 2793 2863 2888 2976 3038 3087 3136 3192 3249 3272 3472 3528 3534 3584 3648 3681 3724 3906 3968 4032 4116 4123 4256 4332 4464 4557 4608 4704 4712 4788 4864 4908 5054 5208 5301 5376 5472 5488 5586 5726 5776 5952 6076 6174 6272 6384 6498 6517 6544 6859 6944 7056 7068 7296 7362 7448 7581 7771 7812 7936 8064 8232 8246 8379 8512 8589 8664 8928 9114 9408 9424 9576 9728 9816 10108 10416 10602 10633 10752 10944 10976 11172 11191 11452 11552 11904 12152 12348 12369 12544 12679 12768 12996 13034 13088 13671 13718 13888 14112 14136 14592 14724 14896 15162 15542 15624 15872 16128 16464 16492 16758 17024 17178 17328 17689 17856 18228 18816 18848 19152 19551 19632 20041 20216 20577 20832 21204 21266 21888 21952 22344 22382 22743 22904 23104 23313 23808 24304 24696 24738 25088 25358 25536 25767 25992 26068 26176 27342 27436 27776 28224 28272 28861 29184 29448 29792 30324 31084 31248 31899 32256 32928 32984 33516 33573 34048 34356 34656 35378 35712 36456 37107 37632 37696 38037 38304 39102 39264 40082 40432 41154 41664 42408 42532 43776 43904 44688 44764 45486 45808 46208 46626 47616 48013 48608 49392 49476 50716 51072 51534 51984 52136 52352 53067 54397 54684 54872 55552 56448 56544 57722 58653 58896 59584 60123 60648 61731 62168 62496 63798 65856 65968 67032 67146 68096 68712 69312 69939 70756 71424 72912 74214 75264 75392 76074 76608 78204 78337 78528 80164 80864 82308 83328 84816 85064 86583 87552 87808 88753 89376 89528 90972 91616 92416 93252 95697 96026 97216 98784 98952 100719 101432 102144 103068 103968 104272 104704 106134 108794 109368 109744 111104 112896 113088 114111 115444 117306 117792 119168 120246 121296 123462 123823 124336 124992 127596 131712 131936 134064 134292 137424 138624 139878 140287 141512 142848 144039 145824 147649 148428 150784 152148 153216 156408 156674 157056 159201 160328 161728 163191 164616 166656 169632 170128 173166 175616 177506 178752 179056 180369 181944 183232 184832 186504 191394 192052 194432 197568 197904 201438 202027 202864 204288 206136 207936 208544 209408 212268 212629 217588 218736 219488 225792 226176 228222 230888 234612 235011 235584 238336 240492 240901 242592 246924 247646 248672 249984 255192 259749 263424 263872 266259 268128 268584 274848 277248 279756 280574 283024 288078 291648 295298 296856 301568 304296 306432 312816 313348 314112 318402 320656 323456 326382 329232 333312 336091 339264 340256 346332 355012 357504 358112 360738 363888 366464 371469 373008 380779 382788 384104 388864 395136 395808 402876 404054 405728 412272 415872 417088 420861 424536 425258 432117 435176 437472 438976 442947 452352 456444 461776 469224 470022 471168 476672 480984 481802 485184 489573 493848 495292 497344 499968 510384 519498 526848 527744 532518 536256 537168 548359 549696 554496 559512 561148 566048 576156 583296 590596 593712 606081 608592 612864 621271 625632 626696 628224 636804 637887 641312 646912 652764 658464 672182 678528 680512 692664 705033 710024 715008 716224 721476 722703 727776 732928 742938 746016 761558 765576 768208 777728 790272 791616 798777 805752 808108 811456 824544 831744 834176 841722 849072 850516 864234 870352 874944 877952 885894 904704 912888 923552 938448 940044 942336 961968 963604 970368 979146 987696 990584 994688 999936 1008273 1020768 1033543 1038996 1055488 1065036 1072512 1074336 1096718 1099392 1114407 1119024 1122296 1132096 1142337 1152312 1166592 1181192 1187424 1212162 1217184 1242542 1251264 1253392 1262583 1273608 1275774 1282624 1293824 1305528 1316928 1328841 1344364 1357056 1361024 1385328 1410066 1420048 1430016 1432448 1442952 1445406 1455552 1465856 1485876 1488403 1492032 1523116 1531152 1536416 1580544 1583232 1597554 1611504 1616216 1622912 1645077 1649088 1663488 1668352 1683444 1686307 1698144 1701032 1728468 1740704 1749888 1755904 1771788 1818243 1825776 1847104 1863813 1876896 1880088 1884672 1913661 1923936 1927208 1940736 1958292 1975392 1981168 1989376 2016546 2041536 2067086 2077992 2110976 2130072 2145024 2148672 2168109 2193436 2198784 2228814 2238048 2244592 2264192 2284674 2304624 2333184 2352637 2362384 2374848 2424324 2434368 2485084 2502528 2506784 2525166 2547216 2551548 2565248 2611056 2633856 2657682 2665453 2688728 2714112 2722048 2770656 2805331 2820132 2840096 2864896 2885904 2890812 2911104 2971752 2976806 2984064 3024819 3046232 3062304 3072832 3100629 3166464 3195108 3223008 3232432 3245824 3290154 3298176 3336704 3366888 3372614 3396288 3402064 3427011 3456936 3481408 3499776 3511808 3543576 3636486 3651552 3694208 3727626 3753792 3760176 3827322 3838513 3847872 3854416 3881472 3916584 3950784 3962336 3978752 4033092 4083072 4134172 4155984 4260144 4290048 4297344 4336218 4348897 4386872 4397568 4457628 4465209 4476096 4489184 4528384 4569348 4577119 4609248 4705274 4724768 4749696 4848648 4868736 4935231 4970168 5005056 5013568 5050332 5058921 5094432 5103096 5130496 5222112 5267712 5315364 5330906 5377456 5444096 5541312 5591439 5610662 5640264 5680192 5729792 5771808 5781624 5822208 5943504 5953612 5968128 6049638 6092464 6124608 6145664 6201258 6332928 6390216 6446016 6464864 6491648 6580308 6596352 6733776 6745228 6792576 6804128 6854022 6913872 6962816 6999552 7057911 7087152 7234801 7272972 7303104 7388416 7455252 7507584 7520352 7654644 7677026 7695744 7708832 7833168 7901568 7924672 7996359 8066184 8166144 8268344 8311968 8415993 8520288 8594688 8672436 8697794 8773744 8915256 8930418 8952192 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51568128 51718912 52186764 52642464 53582508 53870208 53961824 54433024 54832176 54925428 55310976 56463288 56697216 57878408 58183776 58424832 58911951 59642016 60162816 60707052 61237152 61416208 61670656 62512926 62665344 63397376 63970872 64079666 64529472 65113209 66146752 66495744 67327944 68162304 69093234 69379488 69582352 70189952 70824894 71322048 71443344 71826944 72931747 73109568 73233904 73747968 74415096 75284384 75596288 77578368 78280146 78549268 78963696 79522688 80805312 80942736 81510912 81649536 82388142 82629043 83350568 83553792 84694932 85045824 85294496 86039296 86817612 86965261 89463024 89770592 90244224 92124312 92348928 92505984 93769389 94433192 95096064 95257792 95956308 96119499 96794208 97479424 99220128 100991916 101287214 102243456 103437824 104373528 105284928 106237341 107165016 107740416 107923648 108866048 109664352 109850856 110621952 112926576 113394432 115756816 116367552 117823902 119284032 120325632 121414104 122474304 122832416 123341312 125025852 125330688 127941744 128159332 129058944 130226418 132293504 132991488 134655888 136324608 137461219 138186468 138758976 139164704 140379904 141649788 142644096 142886688 145863494 146219136 146467808 148830192 150568768 151930821 155156736 156560292 157098536 157927392 159045376 161610624 161885472 163299072 164776284 165258086 166701136 169389864 170091648 170588992 172078592 173635224 173930522 176735853 178926048 179541184 180488448 184248624 185011968 187538778 188866384 190192128 190515584 191912616 192238998 193588416 194958848 198440256 201983832 202574428 204486912 208747056 210569856 212474682 214330032 215480832 215847296 218795241 219328704 219701712 221243904 224278831 225853152 226788864 231513632 232735104 235647804 238568064 242828208 244948608 245664832 247887129 250051704 250661376 255883488 256318664 258117888 260452836 260895783 264587008 269311776 274922438 276372936 277517952 278329408 280759808 283299576 285288192 285773376 288358497 291726988 292438272 292935616 297660384 301137536 303861642 310313472 313120584 314197072 315854784 318090752 323221248 323770944 326598144 329552568 330516172 333402272 338779728 340183296 341177984 347270448 347861044 353471706 357852096 359082368 360976896 368497248 370023936 375077556 377732768 381031168 383825232 384477996 387176832 396880512 403967664 405148856 408973824 412383657 417494112 421139712 424949364 428660064 431694592 437590482 438657408 439403424 448557662 451706304 455792463 463027264 465470208 471295608 477136128 485656416 489897216 491329664 495774258 500103408 511766976 512637328 516235776 520905672 521791566 529174016 538623552 549844876 552745872 555035904 556658816 566599152 570576384 571546752 576716994 583453976 584876544 585871232 595320768 602275072 607723284 608756827 626241168 628394144 631709568 646442496 647541888 656385723 659105136 661032344 666804544 672836493 677559456 680366592 682355968 694540896 695722088 706943412 715704192 718164736 736994496 743661387 750155112 755465536 762062336 767650464 768955992 774353664 782687349 793761024 807935328 810297712 824767314 834988224 842279424 849898728 857320128 863389184 875180964 877314816 878806848 897115324 903412608 911584926 926054528 930940416 942591216 954272256 962228533 971312832 979794432 982659328 991548516 1000206816 1023533952 1025274656 1041811344 1043583132 1077247104 1099689752 1105491744 1110071808 1113317632 1133198304 1143093504 1153433988 1166907952 1171742464 1190641536 1204550144 1215446568 1217513654 1237150971 1252482336 1256788288 1263419136 1295083776 1312771446 1318210272 1322064688 1333609088 1345672986 1355118912 1364711936 1389081792 1391444176 1413886824 1431408384 1436329472 1473988992 1487322774 1500310224 1510931072 1535300928 1537911984 1548707328 1565374698 1569951817 1587522048 1615870656 1620595424 1649534628 1669976448 1699797456 1714640256 1750361928 1754629632 1757613696 1794230648 1806825216 1823169852 1826270481 1852109056 1885182432 1924457066 1942625664 1965318656 1983097032 2000413632 2018509479 2047067904 2050549312 2083622688 2087166264 2154494208 2199379504 2210983488 2226635264 2266396608 2286187008 2306867976 2333815904 2343484928 2381283072 2430893136 2435027308 2474301942 2504964672 2513576576 2526838272 2590167552 2625542892 2636420544 2644129376 2667218176 2691345972 2710237824 2778163584 2782888352 2827773648 2862816768 2886685599 2947977984 2974645548 3000620448 3021862144 3070601856 3075823968 3130749396 3139903634 3231741312 3241190848 3299069256 3339952896 3399594912 3429280512 3500723856 3515227392 3588461296 3613650432 3646339704 3652540962 3704218112 3770364864 3848914132 3885251328 3966194064 4000827264 4037018958 4094135808 4101098624 4167245376 4174332528 4261297789 4308988416 4398759008 4421966976 4532793216 4613735952 4667631808 4709855451 4762566144 4861786272 4870054616 4948603884 5009929344 5027153152 5251085784 5272841088 5288258752 5334436352 5382691944 5420475648 5478811443 5556327168 5565776704 5655547296 5773371198 5895955968 5949291096 6001240896 6043724288 6141203712 6151647936 6261498792 6279807268 6463482624 6482381696 6598138512 6679905792 6799189824 6858561024 7001447712 7030454784 7176922592 7292679408 7305081924 7540729728 7697828264 7770502656 7932388128 8001654528 8074037916 8202197248 8334490752 8348665056 8522595578 8660056797 8797518016 8843933952 9065586432 9227471904 9335263616 9419710902 9723572544 9740109232 9897207768 10019858688 10054306304 10502171568 10545682176 10576517504 10765383888 10840951296 10957622886 11112654336 11131553408 11311094592 11546742396 11898582192 12002481792 12282407424 12303295872 12522997584 12559614536 12783893367 12926965248 12964763392 13196277024 13598379648 14002895424 14129566353 14353845184 14585358816 14610163848 15081459456 15395656528 15864776256 16003309056 16148075832 16404394496 16668981504 16697330112 17045191156 17320113594 17595036032 17687867904 18131172864 18454943808 18670527232 18839421804 19447145088 19480218464 19794415536 20039717376 21004343136 21091364352 21153035008 21530767776 21915245772 22263106816 22622189184 23093484792 23797164384 24004963584 24606591744 25045995168 25119229072 25567786734 25929526784 26392554048 27196759296 28005790848 28259132706 28707690368 29170717632 29220327696 29829084523 30162918912 30791313056 31729552512 32296151664 33337963008 33394660224 34090382312 34640227188 35190072064 36909887616 37341054464 37678843608 38351680101 38894290176 38960436928 39588831072 42008686272 42306070016 43061535552 43830491544 44526213632 45244378368 46186969584 47594328768 48009927168 49213183488 50091990336 50238458144 51135573468 52785108096 54393518592 56011581696 56518265412 57415380736 58341435264 58440655392 59658169046 61582626112 63459105024 64592303328 66789320448 68180764624 69280454376 70380144128 73819775232 75357687216 76703360202 77788580352 77920873856 79177662144 84017372544 86123071104 87660983088 89487253569 90488756736 92373939168 95188657536 100183980672 100476916288 102271146936 105570216192 112023163392 113036530824 114830761472 116682870528 116881310784 119316338092 123165252224 126918210048 129184606656 133578640896 136361529248 138560908752 147639550464 150715374432 153406720404 155841747712 158355324288 168034745088 172246142208 175321966176 178974507138 184747878336 190377315072 200367961344 200953832576 204542293872 211140432384 226073061648 233365741056 233762621568 238632676184 246330504448 258369213312 268461760707 272723058496 277121817504 301430748864 306813440808 311683495424 316710648576 336069490176 344492284416 350643932352 357949014276 369495756672 380754630144 400735922688 401907665152 409084587744 452146123296 467525243136 477265352368 492661008896 516738426624 536923521414 545446116992 554243635008 602861497728 613626881616 633421297152 701287864704 715898028552 738991513344 803815330304 818169175488 904292246592 935050486272 954530704736 1033476853248 1073847042828 1090892233984 1108487270016 1205722995456 1227253763232 1402575729408 1431796057104 1477983026688 1636338350976 1808584493184 1909061409472 2147694085656 2181784467968 2216974540032 2411445990912 2454507526464 2805151458816 2863592114208 3272676701952 3617168986368 3818122818944 4295388171312 4433949080064 4909015052928 5727184228416 6545353403904 7234337972736 7636245637888 8590776342624 9818030105856 11454368456832 15272491275776 17181552685248 19636060211712 22908736913664 34363105370496 45817473827328 68726210740992 137452421481984
- Sum of all divisors σ(n): 505302420480000
- Sum of proper divisors (its aliquot sum) s(n): 367849998998016
- 137452421481984 is an abundant number, because the sum of its proper divisors (367849998998016) is greater than itself. Its abundance is 230397577516032
Bases of 137452421481984
- Binary: 111110100000011001000101100000110000110000000002
- Hexadecimal: 0x7D0322C18600
- Base-36: 1CQ0RQU0W0
Squares and roots of 137452421481984
- 137452421481984 squared (1374524214819842) is 18893168171260976598836576256
- 137452421481984 cubed (1374524214819843) is 2596911714606168624191483734751964146171904
-
The
square root of 137452421481984 is 11724010.4692031045 -
The
cube root of 137452421481984 is 51608.0518305031
Scales and comparisons
How big is 137452421481984?- 137,452,421,481,984 seconds is equal to 4,370,561 years, 43 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 137,452,421,481,984 would take you about ten million, nine hundred twenty-six thousand, four hundred 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 137452421481984 cubic inches would be around 4300.7 feet tall.
Recreational maths with 137452421481984
- 137452421481984 backwards is 489184124254731
- 137452421481984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137452421481984's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 137452421481984 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137452421481984 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137452421481984/
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The information we have on file for 137452421481984 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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