137312196768012816
137,312,196,768,012,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 137312196768012816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 675 divisors.
137312196768012816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-five divisors.
Prime factorization of 137312196768012816:
24 × 34 × 112 × 6532 × 14332
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 653 × 653 × 1433 × 1433)See below for interesting mathematical facts about the number 137312196768012816 from the Numbermatics database.
Names of 137312196768012816
- Cardinal: 137312196768012816 can be written as One hundred thirty-seven quadrillion, three hundred twelve trillion, one hundred ninety-six billion, seven hundred sixty-eight million, twelve thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.37312196768012816 × 1017
Factors of 137312196768012816
Divisors of 137312196768012816
- Number of divisors d(n): 675
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 653 726 792 891 968 1089 1188 1296 1306 1433 1452 1584 1782 1936 1959 2178 2376 2612 2866 2904 3267 3564 3918 4299 4356 4752 5224 5732 5808 5877 6534 7128 7183 7836 8598 8712 9801 10448 11464 11754 12897 13068 14256 14366 15672 15763 17196 17424 17631 19602 21549 22928 23508 25794 26136 28732 31344 31526 34392 35262 38691 39204 43098 47016 47289 51588 52272 52893 57464 63052 64647 68784 70524 77382 78408 79013 86196 94032 94578 103176 105786 114928 116073 126104 129294 141048 141867 154764 156816 158026 172392 173393 189156 193941 206352 211572 232146 237039 252208 258588 282096 283734 309528 316052 344784 346786 378312 387882 423144 425601 426409 464292 474078 517176 520179 567468 581823 619056 632104 693572 711117 756624 775764 846288 851202 852818 928584 935749 948156 1034352 1040358 1134936 1163646 1264208 1276803 1279227 1387144 1422234 1551528 1560537 1702404 1705636 1857168 1871498 1896312 2053489 2080716 2133351 2269872 2327292 2553606 2558454 2774288 2807247 2844468 3103056 3121074 3404808 3411272 3742996 3792624 3837681 4106978 4161432 4266702 4654584 4681611 4690499 5107212 5116908 5614494 5688936 6160467 6242148 6400053 6809616 6822544 7485992 7675362 8213956 8322864 8421741 8533404 9309168 9363222 9380998 10214424 10233816 10293239 11228988 11377872 11513043 12320934 12484296 12800106 14044833 14071497 14971984 15350724 16427912 16843482 17066808 18481401 18726444 18761996 20428848 20467632 20586478 22457976 22588379 23026086 24641868 24968592 25265223 25600212 28089666 28142994 30701448 30879717 32855824 33686964 34133616 34539129 36962802 37452888 37523992 41172956 42214491 44915952 45176758 46052172 49283736 50530446 51200424 51595489 55444203 56179332 56285988 61402896 61759434 67373928 67765137 69078258 73925604 74905776 75047984 75795669 82345912 84428982 90353516 92104344 92639151 98567472 101060892 102400848 103190978 110888406 112358664 112571976 113225629 123518868 126643473 134747856 135530274 138156516 147851208 151591338 154786467 164691824 166332609 168857964 180707032 184208688 185278302 202121784 203295411 206381956 221776812 224717328 225143952 226451258 247037736 248472169 253286946 271060548 276313032 277917453 295702416 303182676 309572934 332665218 337715928 339676887 361414064 370556604 379930419 404243568 406590822 412763912 443553624 452902516 464359401 494075472 496944338 506573892 542121096 552626064 555834906 606365352 609886233 611044097 619145868 665330436 675431856 679353774 741113208 745416507 759860838 813181644 825527824 833752359 887107248 905805032 928718802 993888676 1013147784 1019030661 1084242192 1111669812 1212730704 1219772466 1222088194 1238291736 1330660872 1340928317 1358707548 1393078203 1482226416 1490833014 1519721676 1626363288 1667504718 1811610064 1829658699 1833132291 1857437604 1987777352 2026295568 2038061322 2223339624 2236249521 2439544932 2444176388 2476583472 2661321744 2681856634 2717415096 2786156406 2981666028 3039443352 3057091983 3252726576 3335009436 3659317398 3666264582 3714875208 3975554704 4022784951 4076122644 4179234609 4446679248 4472499042 4879089864 4888352776 5363713268 5434830192 5499396873 5572312812 5963332056 6078886704 6114183966 6670018872 6708748563 6721485067 7318634796 7332529164 7429750416 8045569902 8152245288 8358469218 8944998084 9171275949 9758179728 9776705552 10727426536 10998793746 11144625624 11926664112 12068354853 12228367932 13340037744 13417497126 13442970134 14637269592 14665058328 14750211487 16091139804 16304490576 16498190619 16716938436 17889996168 18342551898 20126245689 20164455201 21454853072 21997587492 22289251248 24136709706 24456735864 26834994252 26885940268 29274539184 29330116656 29500422974 32182279608 32996381238 33433876872 35779992336 36205064559 36685103796 40252491378 40328910402 43995174984 44250634461 48273419412 48913471728 49494571857 53669988504 53771880536 59000845948 60493365603 64364559216 65992762476 66867753744 72410129118 73370207592 73936335737 80504982756 80657820804 87990349968 88501268922 96546838824 98989143714 107339977008 107543761072 108615193677 118001691896 120986731206 131985524952 132751903383 144820258236 146740415184 147872671474 161009965512 161315641608 162252326357 177002537844 181480096809 193093677648 197978287428 217230387354 221809007211 236003383792 241973462412 263971049904 265503806766 289640516472 295745342948 322019931024 322631283216 324504652714 354005075688 362960193618 395956574856 398255710149 434460774708 443618014422 483946924824 486756979071 531007613532 544440290427 579281032944 591490685896 649009305428 665427021633 708010151376 725920387236 791913149712 796511420298 868921549416 875626191001 887236028844 967893849648 973513958142 1062015227064 1088880580854 1182981371792 1194767130447 1298018610856 1330854043266 1451840774472 1460270937213 1593022840596 1737843098832 1751252382002 1774472057688 1947027916284 1996281064899 2124030454128 2177761161708 2389534260894 2596037221712 2626878573003 2661708086532 2903681548944 2920541874426 3186045681192 3502504764004 3548944115376 3894055832568 3992562129798 4355522323416 4380812811639 4779068521788 5253757146006 5323416173064 5841083748852 5988843194697 6372091362384 7005009528008 7788111665136 7880635719009 7985124259596 8711044646832 8761625623278 9558137043576 9631888101011 10507514292012 10646832346128 11682167497704 11977686389394 13142438434917 14010019056016 15761271438018 15970248519192 17523251246556 19116274087152 19263776202022 21015028584024 23364334995408 23641907157027 23955372778788 26284876869834 28895664303033 31522542876036 31940497038384 35046502493112 38527552404044 42030057168048 47283814314054 47910745557576 52569753739668 57791328606066 63045085752072 70093004986224 70925721471081 77055104808088 86686992909099 94567628628108 95821491115152 105139507479336 105950769111121 115582657212132 126090171504144 141851442942162 154110209616176 173373985818198 189135257256216 210279014958672 211901538222242 231165314424264 260060978727297 283702885884324 317852307333363 346747971636396 378270514512432 423803076444484 462330628848528 520121957454594 567405771768648 635704614666726 693495943272792 780182936181891 847606152888968 953556922000089 1040243914909188 1134811543537296 1271409229333452 1386991886545584 1560365872363782 1695212305777936 1907113844000178 2080487829818376 2542818458666904 2860670766000267 3120731744727564 3814227688000356 4160975659636752 5085636917333808 5721341532000534 6241463489455128 7628455376000712 8582012298000801 11442683064001068 12482926978910256 15256910752001424 17164024596001602 22885366128002136 34328049192003204 45770732256004272 68656098384006408 137312196768012816
- Sum of all divisors σ(n): 437810531948356567
- Sum of proper divisors (its aliquot sum) s(n): 300498335180343751
- 137312196768012816 is an abundant number, because the sum of its proper divisors (300498335180343751) is greater than itself. Its abundance is 163186138412330935
Bases of 137312196768012816
- Binary: 1111001111101010010110111001001111010111110011010000100002
- Hexadecimal: 0x1E7D4B727AF9A10
- Base-36: 11K140CZTD00
Squares and roots of 137312196768012816
- 137312196768012816 squared (1373121967680128162) is 18854639381257469232051557540249856
- 137312196768012816 cubed (1373121967680128163) is 2588971952709149027519479517013340279717101250154496
-
137312196768012816 is a
perfect square number . Itssquare root is 370556604 -
The
cube root of 137312196768012816 is 515904.9621254599
Scales and comparisons
How big is 137312196768012816?- 137,312,196,768,012,816 seconds is equal to 4,366,103,122 years, 36 weeks, 6 days, 19 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,312,196,768,012,816 would take you about thirteen billion, ninety-eight million, three hundred nine thousand, three hundred sixty-eight 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 137312196768012816 cubic inches would be around 42992.1 feet tall.
Recreational maths with 137312196768012816
- 137312196768012816 backwards is 618210867691213731
- 137312196768012816 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137312196768012816's digits is 72
- More coming soon!
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The information we have on file for 137312196768012816 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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