137405306068992
137,405,306,068,992 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137405306068992 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
137405306068992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137405306068992:
213 × 32 × 13 × 31 × 41 × 149 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 41 × 149 × 757)See below for interesting mathematical facts about the number 137405306068992 from the Numbermatics database.
Names of 137405306068992
- Cardinal: 137405306068992 can be written as One hundred thirty-seven trillion, four hundred five billion, three hundred six million, sixty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.37405306068992 × 1014
Factors of 137405306068992
Divisors of 137405306068992
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 41 48 52 62 64 72 78 82 93 96 104 117 123 124 128 144 149 156 164 186 192 208 234 246 248 256 279 288 298 312 328 369 372 384 403 416 447 468 492 496 512 533 558 576 596 624 656 738 744 757 768 806 832 894 936 984 992 1024 1066 1116 1152 1192 1209 1248 1271 1312 1341 1476 1488 1514 1536 1599 1612 1664 1788 1872 1937 1968 1984 2048 2132 2232 2271 2304 2384 2418 2496 2542 2624 2682 2952 2976 3028 3072 3198 3224 3328 3576 3627 3744 3813 3874 3936 3968 4096 4264 4464 4542 4608 4619 4768 4797 4836 4992 5084 5248 5364 5811 5904 5952 6056 6109 6144 6396 6448 6656 6813 7152 7254 7488 7626 7748 7872 7936 8192 8528 8928 9084 9216 9238 9536 9594 9672 9841 9984 10168 10496 10728 11439 11622 11808 11904 12112 12218 12288 12792 12896 13312 13626 13857 14304 14508 14976 15252 15496 15744 15872 16523 17056 17433 17856 18168 18327 18432 18476 19072 19188 19344 19682 19968 20336 20992 21456 22878 23244 23467 23616 23808 24224 24436 24576 25584 25792 26624 27252 27714 28608 29016 29523 29952 30504 30992 31037 31488 31744 33046 34112 34866 35712 36336 36654 36864 36952 38144 38376 38688 39364 39936 40672 41571 41984 42912 45756 46488 46934 47232 47616 48448 48872 49569 51168 51584 53248 54504 54981 55428 57216 58032 59046 59904 60047 61008 61984 62074 62976 63488 66092 68224 69732 70401 71424 72672 73308 73728 73904 76288 76752 77376 78728 79417 79872 81344 83142 83968 85824 88569 91512 92976 93111 93868 94464 95232 96896 97744 99138 102336 103168 106496 109008 109962 110856 112793 114432 116064 118092 119808 120094 122016 123968 124148 125952 126976 132184 136448 139464 140802 142848 145344 146616 147808 148707 152576 153504 154752 157456 158834 159744 162688 166284 167936 171648 177138 180141 183024 185952 186222 187736 188928 189379 190464 193792 195488 198276 204672 206336 211203 218016 219924 221712 225586 228864 232128 236184 238251 239616 240188 244032 247936 248296 251904 253952 264368 272896 278928 279333 281604 285696 290688 293232 295616 297414 305071 305152 307008 309504 314912 317668 319488 325376 332568 335872 338379 343296 354276 360282 366048 371904 372444 375472 377856 378758 380928 387584 390976 396552 403481 409344 412672 422406 436032 439848 443424 451172 457728 464256 472368 476502 479232 480376 488064 495872 496592 503808 528736 540423 545792 557856 558666 563208 568137 571392 581376 586464 591232 594828 610142 610304 614016 619008 629824 635336 650752 665136 676758 686592 708552 714753 720564 732096 743808 744888 750944 755712 757516 761856 775168 781952 793104 806962 818688 825344 844812 872064 879696 886848 902344 915213 915456 928512 944736 953004 958464 960752 962147 976128 991744 993184 1007616 1015137 1057472 1080846 1091584 1115712 1117332 1126416 1136274 1142784 1162752 1172928 1182464 1189656 1210443 1220284 1220608 1228032 1238016 1259648 1270672 1301504 1330272 1353516 1373184 1417104 1429506 1441128 1464192 1466309 1487616 1489776 1501888 1511424 1515032 1550336 1563904 1586208 1613924 1637376 1650688 1689624 1704411 1744128 1759392 1773696 1804688 1830426 1830912 1857024 1889472 1906008 1921504 1924294 1952256 1983488 1986368 2030274 2114944 2161692 2183168 2231424 2234664 2252832 2272548 2285568 2325504 2345856 2364928 2379312 2420886 2440568 2456064 2461927 2476032 2519296 2541344 2603008 2660544 2707032 2745639 2746368 2834208 2859012 2882256 2886441 2928384 2932618 2975232 2979552 3003776 3022848 3030064 3100672 3127808 3172416 3227848 3274752 3301376 3379248 3408822 3488256 3496583 3518784 3547392 3609376 3631329 3660852 3661824 3714048 3778944 3812016 3843008 3848588 3904512 3966976 3972736 4060548 4229888 4323384 4366336 4398927 4462848 4469328 4505664 4545096 4624513 4651008 4691712 4729856 4758624 4841772 4881136 4912128 4923854 4952064 5038592 5082688 5206016 5321088 5414064 5491278 5492736 5668416 5718024 5764512 5772882 5856768 5865236 5950464 5959104 6007552 6060128 6201344 6255616 6344832 6455696 6549504 6758496 6817644 6976512 6993166 7037568 7094784 7218752 7262658 7321704 7385781 7428096 7557888 7624032 7686016 7697176 7809024 7933952 7945472 8121096 8459776 8646768 8659323 8797854 8925696 8938656 9011328 9090192 9249026 9302016 9383424 9459712 9517248 9683544 9762272 9824256 9847708 9904128 10077184 10165376 10412032 10489749 10642176 10828128 10982556 10985472 11336832 11436048 11529024 11545764 11713536 11730472 11900928 11918208 12015104 12120256 12507911 12511232 12689664 12911392 13099008 13196781 13516992 13635288 13873539 13953024 13986332 14075136 14189568 14437504 14525316 14643408 14771562 14856192 15115776 15248064 15372032 15394352 15618048 15867904 15890944 16242192 16919552 17293536 17318646 17595708 17851392 17877312 18022656 18180384 18498052 18604032 18766848 18919424 19034496 19367088 19524544 19648512 19695416 20154368 20330752 20979498 21284352 21656256 21965112 22157343 22673664 22872096 23058048 23091528 23427072 23460944 23801856 23836416 24030208 24240512 25015822 25022464 25379328 25822784 26393562 27033984 27270576 27747078 27906048 27972664 28150272 28379136 28875008 29050632 29286816 29543124 29712384 30231552 30496128 30744064 30788704 31236096 31469247 31781888 32484384 33839104 34587072 34637292 35191416 35702784 35754624 36045312 36360768 36996104 37523733 37533696 37838848 38068992 38734176 39049088 39297024 39390832 40308736 40661504 41620617 41958996 42568704 43312512 43930224 44314686 45347328 45455579 45744192 46116096 46183056 46854144 46921888 47603712 47672832 48060416 48481024 50031644 50044928 50758656 51645568 52787124 54067968 54541152 55494156 55812096 55945328 56300544 56758272 57750016 58101264 58573632 59086248 60118669 60463104 60992256 61488128 61577408 62938494 63563776 64968768 67678208 69174144 69274584 70382832 71405568 71509248 72090624 72721536 73992208 75047466 75067392 76137984 77468352 78098176 78781664 80617472 81323008 83241234 83917992 85137408 86625024 87860448 88629372 90694656 90911158 91488384 92232192 92366112 93708288 93843776 95345664 96120832 96962048 100063288 101517312 103291136 105574248 108135936 109082304 110988312 111890656 112571199 112601088 113516544 115500032 116202528 117147264 118172496 120237338 120926208 121984512 122976256 123154816 125876988 127127552 129937536 135356416 136366737 138348288 138549168 140765664 142811136 143018496 143359903 144181248 145443072 147984416 150094932 150134784 152275968 154936704 156196352 157563328 162646016 166482468 167835984 170274816 173250048 175720896 177258744 180356007 181389312 181822316 182976768 184464384 184732224 187687552 190691328 192241664 193924096 200126576 203034624 206582272 211148496 216271872 218164608 221976624 223781312 225142398 225202176 231000064 232405056 234294528 236344992 240474676 241852416 243969024 245952512 246309632 251753976 254255104 259875072 272733474 276696576 277098336 281531328 286036992 286719806 288362496 290886144 295968832 300189864 304551936 309873408 312392704 315126656 325292032 332964936 335671968 340549632 346500096 351441792 354517488 360712014 362778624 363644632 365953536 368928768 369464448 375375104 381382656 387848192 400253152 406069248 409100211 413164544 422296992 430079709 432543744 436329216 443953248 447562624 450284796 450404352 462000128 464810112 468589056 472689984 480949352 487938048 491905024 492619264 503507952 519750144 541068021 545466948 553393152 554196672 563062656 572073984 573439612 576724992 581772288 591937664 600379728 609103872 619746816 624785408 630253312 650584064 665929872 671343936 693000192 702883584 709034976 721424028 725557248 727289264 731907072 737857536 738928896 750750208 762765312 775696384 800506304 818200422 826329088 844593984 860159418 865087488 872658432 887906496 895125248 900569592 924000256 929620224 937178112 945379968 961898704 975876096 985238528 1007015904 1039500288 1082136042 1090933896 1106786304 1108393344 1126125312 1144147968 1146879224 1163544576 1183875328 1200759456 1218207744 1239493632 1249570816 1260506624 1290239127 1331859744 1342687872 1386000384 1405767168 1418069952 1442848056 1454578528 1463814144 1475715072 1477857792 1501500416 1551392768 1601012608 1636400844 1652658176 1689187968 1720318836 1730174976 1745316864 1775812992 1790250496 1801139184 1859240448 1863678739 1874356224 1890759936 1923797408 1951752192 1970477056 2014031808 2079000576 2164272084 2181867792 2213572608 2216786688 2252250624 2288295936 2293758448 2327089152 2367750656 2401518912 2478987264 2499141632 2521013248 2580478254 2663719488 2685375744 2772000768 2811534336 2836139904 2885696112 2909157056 2927628288 2955715584 3003000832 3202025216 3272801688 3305316352 3378375936 3440637672 3490633728 3551625984 3580500992 3602278368 3718480896 3727357478 3748712448 3781519872 3847594816 3940954112 4028063616 4158001152 4328544168 4363735584 4427145216 4433573376 4504501248 4587516896 4654178304 4735501312 4803037824 4957974528 5042026496 5160956508 5327438976 5370751488 5591036217 5623068672 5672279808 5771392224 5818314112 5855256576 5911431168 6006001664 6404050432 6545603376 6756751872 6881275344 6981267456 7103251968 7161001984 7204556736 7436961792 7454714956 7497424896 7563039744 7695189632 7881908224 8056127232 8316002304 8657088336 8727471168 8867146752 9009002496 9175033792 9471002624 9606075648 9915949056 10084052992 10321913016 10654877952 10741502976 11182072434 11246137344 11344559616 11542784448 11636628224 11822862336 12012003328 12808100864 13091206752 13513503744 13762550688 13962534912 14206503936 14322003968 14409113472 14873923584 14909429912 15126079488 15390379264 16112254464 16773108651 17314176672 17454942336 17734293504 18018004992 18350067584 18942005248 19212151296 20168105984 20643826032 21309755904 21483005952 22364144868 22492274688 22689119232 23085568896 23273256448 23645724672 25616201728 26182413504 27027007488 27525101376 28413007872 28644007936 28818226944 29747847168 29818859824 30252158976 30780758528 32224508928 33546217302 34628353344 34909884672 35468587008 36036009984 36700135168 37884010496 38424302592 41287652064 42619511808 42966011904 44728289736 45378238464 46171137792 46546512896 51232403456 52364827008 54054014976 55050202752 56826015744 57636453888 59637719648 60504317952 61561517056 64449017856 67092434604 69256706688 69819769344 70937174016 73400270336 76848605184 82575304128 85239023616 85932023808 89456579472 90756476928 92342275584 93093025792 102464806912 104729654016 108108029952 110100405504 113652031488 115272907776 119275439296 123123034112 128898035712 134184869208 138513413376 139639538688 146800540672 153697210368 165150608256 170478047232 178913158944 181512953856 184684551168 186186051584 209459308032 220200811008 230545815552 238550878592 246246068224 257796071424 268369738416 277026826752 279279077376 293601081344 307394420736 330301216512 340956094464 357826317888 369369102336 372372103168 418918616064 440401622016 461091631104 477101757184 492492136448 536739476832 554053653504 558558154752 587202162688 660602433024 715652635776 738738204672 837837232128 880803244032 922183262208 954203514368 1073478953664 1108107307008 1117116309504 1174404325376 1321204866048 1431305271552 1477476409344 1675674464256 1761606488064 1908407028736 2146957907328 2216214614016 2642409732096 2862610543104 3351348928512 3523212976128 3816814057472 4293915814656 4432429228032 5284819464192 5725221086208 7633628114944 8587831629312 10569638928384 11450442172416 15267256229888 17175663258624 22900884344832 34351326517248 45801768689664 68702653034496 137405306068992
- Sum of all divisors σ(n): 455642842636800
- Sum of proper divisors (its aliquot sum) s(n): 318237536567808
- 137405306068992 is an abundant number, because the sum of its proper divisors (318237536567808) is greater than itself. Its abundance is 180832230498816
Bases of 137405306068992
- Binary: 111110011111000001010100111010101100000000000002
- Hexadecimal: 0x7CF82A756000
- Base-36: 1CPF4JJ7K0
Squares and roots of 137405306068992
- 137405306068992 squared (1374053060689922) is 18880218135913369747863896064
- 137405306068992 cubed (1374053060689923) is 2594242151614510169329316690670741501247488
-
The
square root of 137405306068992 is 11722000.9413492201 -
The
cube root of 137405306068992 is 51602.1544867133
Scales and comparisons
How big is 137405306068992?- 137,405,306,068,992 seconds is equal to 4,369,063 years, 36 weeks, 6 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 137,405,306,068,992 would take you about ten million, nine hundred twenty-two thousand, six hundred fifty-nine 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 137405306068992 cubic inches would be around 4300.2 feet tall.
Recreational maths with 137405306068992
- 137405306068992 backwards is 299860603504731
- The number of decimal digits it has is: 15
- The sum of 137405306068992'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 137405306068992 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 137405306068992 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137405306068992/
Chicago style:
Numbermatics. 2024. "Number 137405306068992 - Facts about the integer". https://numbermatics.com/n/137405306068992/
The information we have on file for 137405306068992 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 137405306068992, math, Factors of 137405306068992, curriculum, school, college, exams, university, Prime factorization of 137405306068992, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, four hundred five billion, three hundred six million, sixty-eight thousand, nine hundred ninety-two.