137067942106368
137,067,942,106,368 is an even composite number composed of six prime numbers multiplied together.
137067942106368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137067942106368:
28 × 35 × 7 × 132 × 17 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 17 × 331 × 331)See below for interesting mathematical facts about the number 137067942106368 from the Numbermatics database.
Names of 137067942106368
- Cardinal: 137067942106368 can be written as One hundred thirty-seven trillion, sixty-seven billion, nine hundred forty-two million, one hundred six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37067942106368 × 1014
Factors of 137067942106368
Divisors of 137067942106368
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 51 52 54 56 63 64 68 72 78 81 84 91 96 102 104 108 112 117 119 126 128 136 144 153 156 162 168 169 182 189 192 204 208 216 221 224 234 238 243 252 256 272 273 288 306 312 324 331 336 338 351 357 364 378 384 408 416 432 442 448 459 468 476 486 504 507 544 546 567 576 612 624 648 662 663 672 676 702 714 728 756 768 816 819 832 864 884 896 918 936 952 972 993 1008 1014 1053 1071 1088 1092 1134 1152 1183 1224 1248 1296 1324 1326 1344 1352 1377 1404 1428 1456 1512 1521 1547 1632 1638 1664 1701 1728 1768 1792 1836 1872 1904 1944 1986 1989 2016 2028 2106 2142 2176 2184 2268 2304 2317 2366 2448 2457 2496 2592 2648 2652 2688 2704 2754 2808 2856 2873 2912 2979 3024 3042 3094 3159 3213 3264 3276 3328 3402 3456 3536 3549 3672 3744 3808 3888 3972 3978 4032 4056 4131 4212 4284 4303 4352 4368 4536 4563 4634 4641 4732 4896 4914 4992 5184 5296 5304 5376 5408 5508 5616 5627 5712 5746 5824 5958 5967 6048 6084 6188 6318 6426 6528 6552 6804 6912 6951 7072 7098 7344 7371 7488 7616 7776 7944 7956 8064 8112 8262 8424 8568 8606 8619 8736 8937 9072 9126 9268 9282 9464 9639 9792 9828 9984 10368 10592 10608 10647 10816 11016 11232 11254 11424 11492 11648 11916 11934 12096 12168 12376 12636 12852 12909 13056 13104 13608 13689 13902 13923 14144 14196 14688 14742 14976 15232 15552 15888 15912 16128 16224 16524 16848 16881 17136 17212 17238 17472 17874 17901 18144 18252 18536 18564 18928 19278 19584 19656 20111 20736 20853 21184 21216 21294 21632 22032 22113 22464 22508 22848 22984 23296 23832 23868 24192 24336 24752 25272 25704 25818 25857 26208 26811 27216 27378 27804 27846 28288 28392 28917 29376 29484 29952 30121 30464 31104 31776 31824 31941 32448 33048 33696 33762 34272 34424 34476 34944 35748 35802 36288 36504 37072 37128 37856 38556 38727 39168 39312 39389 40222 41067 41706 41769 42368 42432 42588 43264 44064 44226 44928 45016 45696 45968 47664 47736 48384 48672 49504 50544 50643 51408 51636 51714 52416 53622 53703 54432 54756 55608 55692 55939 56576 56784 57834 58752 58968 60242 60333 62208 62559 63552 63648 63882 64896 66096 67392 67524 68544 68848 68952 69888 71496 71604 72576 73008 73151 74144 74256 75712 77112 77454 77571 78624 78778 80433 80444 82134 83412 83538 84736 84864 85176 88128 88452 89856 90032 90363 91392 91936 95328 95472 95823 97344 99008 101088 101286 102816 103272 103428 104832 107244 107406 108864 109512 109561 111216 111384 111878 113568 115668 116181 117504 117936 118167 120484 120666 125118 125307 127104 127296 127764 129792 132192 134784 135048 137088 137696 137904 142992 143208 145152 146016 146302 148288 148512 151424 151929 154224 154908 155142 157248 157556 160866 160888 164268 166824 167076 167817 169728 170352 176256 176904 180064 180726 180999 183872 187677 190656 190944 191646 194688 198016 202176 202572 205632 206544 206856 209664 214488 214812 217728 219024 219122 219453 222432 222768 223756 227136 231336 232362 232713 235872 236334 240968 241332 250236 250614 254208 254592 255528 264384 269568 270096 271089 274176 275392 275808 285984 286416 287469 292032 292604 296576 297024 302848 303858 308448 309816 310284 314496 315112 321732 321776 328536 328683 333648 334152 335634 340704 348543 352512 353808 354501 360128 361452 361998 367744 375354 375921 381312 381888 383292 389376 391573 396032 404352 405144 411264 413088 413712 428976 429624 435456 438048 438244 438906 444864 445536 447512 454272 455787 462672 464724 465426 471744 472668 481936 482664 500472 501228 503451 509184 511056 512057 528768 540192 542178 542997 550784 551616 563031 571968 572832 574938 584064 585208 593152 594048 607716 616896 619632 620568 628992 630224 643464 643552 657072 657366 658359 667296 668304 671268 681408 697086 698139 707616 709002 720256 722904 723996 735488 750708 751842 762624 763776 766584 766927 783146 808704 810288 813267 822528 826176 827424 857952 859248 876096 876488 877812 889728 891072 895024 908544 911574 925344 929448 930852 943488 945336 950963 963872 965328 986049 1000944 1002456 1006902 1022112 1024114 1045629 1057536 1063503 1080384 1084356 1085994 1101568 1103232 1126062 1143936 1145664 1149876 1168128 1170416 1174719 1188096 1215432 1233792 1239264 1241136 1260448 1286928 1287104 1314144 1314732 1316718 1334592 1336608 1342536 1362816 1367361 1394172 1396278 1415232 1418004 1424293 1440512 1445808 1447992 1501416 1503684 1510353 1527552 1533168 1533854 1536171 1566292 1620576 1626534 1628991 1652352 1654848 1715904 1718496 1752192 1752976 1755624 1779456 1782144 1790048 1823148 1850688 1858896 1861704 1862537 1886976 1890672 1901926 1927744 1930656 1972098 1975077 2001888 2004912 2013804 2044224 2048228 2091258 2127006 2160768 2168712 2171988 2206464 2252124 2287872 2291328 2299752 2300781 2340832 2349438 2430864 2439801 2467584 2478528 2482272 2520896 2573856 2574208 2628288 2629464 2633436 2669184 2673216 2685072 2725632 2734722 2788344 2792556 2830464 2836008 2848586 2852889 2891616 2895984 2958147 3002832 3007368 3020706 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1251065088 1251624864 1259075012 1276166528 1278094272 1307500974 1325249856 1327251744 1333138248 1353276288 1355926936 1384412796 1408077972 1430428416 1435687344 1437856056 1490906088 1499780529 1516859136 1522435824 1525417803 1549630784 1555327956 1609231968 1615148262 1617588063 1640785536 1643264064 1668833152 1703892672 1704125696 1739926656 1743334632 1766999808 1769668992 1777517664 1810385964 1845883728 1848672072 1873767168 1877437296 1888612518 1914249792 1917141408 1961251461 1987874784 1990877616 1999707372 2029914432 2033890404 2073770608 2112116958 2145642624 2153531016 2156784084 2191018752 2203381271 2271856896 2275288704 2324446176 2332991934 2370023552 2413847952 2422722393 2450310912 2461178304 2464896096 2503249728 2518150024 2552333056 2556188544 2615001948 2650499712 2654503488 2666276496 2706552576 2711853872 2768825592 2816155944 2832918777 2871374688 2875712112 2981812176 2999561058 3044871648 3050835606 3099261568 3110655912 3168175437 3218463936 3230296524 3235176126 3281571072 3286528128 3337666304 3407785344 3479853312 3486669264 3499487901 3539337984 3555035328 3620771928 3691767456 3697344144 3754874592 3777225036 3828499584 3834282816 3922502922 3975749568 3981755232 3999414744 4059828864 4067780808 4147541216 4224233916 4291285248 4307062032 4313568168 4406762542 4499341587 4550577408 4576253409 4648892352 4665983868 4740047104 4827695904 4845444786 4922356608 4929792192 5006499456 5036300048 5112377088 5230003896 5300999424 5309006976 5332552992 5423707744 5537651184 5632311888 5665837554 5742749376 5751424224 5883754383 5963624352 5999122116 6089743296 6101671212 6198523136 6221311824 6336350874 6436927872 6460593048 6470352252 6573056256 6610143813 6815570688 6973338528 6998975802 7110070656 7241543856 7383534912 7394688288 7509749184 7554450072 7656999168 7668565632 7845005844 7951499136 7963510464 7998829488 8119657728 8135561616 8295082432 8448467832 8498756331 8614124064 8627136336 8813525084 8998683174 9152506818 9297784704 9331967736 9655391808 9690889572 9844713216 9859584384 10012998912 10072600096 10460007792 10498463703 10618013952 10665105984 10847415488 11075302368 11264623776 11331675108 11485498752 11502848448 11767508766 11927248704 11998244232 12179486592 12203342424 12442623648 12672701748 12873855744 12921186096 12940704504 13220287626 13728760227 13946677056 13997951604 14220141312 14483087712 14767069824 14789376576 15019498368 15108900144 15337131264 15690011688 15902998272 15927020928 15997658976 16271123232 16590164864 16896935664 16997512662 17228248128 17254272672 17627050168 17997366348 18305013636 18595569408 18663935472 19310783616 19381779144 19719168768 19830431439 20145200192 20920015584 20996927406 21330211968 21694830976 22150604736 22529247552 22663350216 22970997504 23005696896 23535017532 23854497408 23996488464 24358973184 24406684848 24885247296 25345403496 25496268993 25842372192 25881409008 26440575252 27457520454 27893354112 27995903208 28966175424 29534139648 29578753152 30038996736 30217800288 31380023376 31495391109 31854041856 31995317952 32542246464 33180329728 33793871328 33995025324 34456496256 34508545344 35254100336 35994732696 36610027272 37327870944 38621567232 38763558288 39660862878 40290400384 41186280681 41840031168 41993854812 42660423936 43389661952 44301209472 45058495104 45326700432 46011393792 47070035064 47708994816 47992976928 48813369696 49770494592 50690806992 50992537986 51684744384 51762818016 52881150504 54915040908 55786708224 55991806416 57932350848 59157506304 59491294317 60435600576 62760046752 62990782218 63990635904 65084492928 67587742656 67990050648 68912992512 69017090688 70508200672 71989465392 73220054544 74655741888 76488806979 77527116576 79321725756 80580800768 82372561362 83680062336 83987709624 88602418944 90116990208 90653400864 94140070128 95985953856 97626739392 99540989184 101381613984 101985075972 103369488768 103525636032 105762301008 109830081816 111983612832 115864701696 118982588634 120871201152 125520093504 125981564436 127981271808 130168985856 135175485312 135980101296 138034181376 141016401344 143978930784 146440109088 149311483776 152977613958 155054233152 158643451512 164745122724 167360124672 167975419248 178473882951 181306801728 188280140256 191971907712 195253478784 202763227968 203970151944 206738977536 207051272064 211524602016 219660163632 223967225664 237965177268 241742402304 251040187008 251963128872 270350970624 271960202592 282032802688 287957861568 292880218176 298622967552 305955227916 310108466304 317286903024 329490245448 335950838496 356947765902 362613603456 376560280512 383943815424 390506957568 405526455936 407940303888 414102544128 423049204032 439320327264 447934451328 475930354536 502080374016 503926257744 535421648853 543920405184 564065605376 575915723136 585760436352 611910455832 620216932608 634573806048 658980490896 671901676992 713895531804 725227206912 753120561024 811052911872 815880607776 846098408064 878640654528 895868902656 951860709072 1007852515488 1070843297706 1087840810368 1151831446272 1171520872704 1223820911664 1269147612096 1317960981792 1343803353984 1427791063608 1506241122048 1631761215552 1692196816128 1757281309056 1903721418144 2015705030976 2141686595412 2175681620736 2447641823328 2538295224192 2635921963584 2687606707968 2855582127216 3263522431104 3514562618112 3807442836288 4031410061952 4283373190824 4895283646656 5076590448384 5271843927168 5711164254432 6527044862208 7614885672576 8062820123904 8566746381648 9790567293312 10543687854336 11422328508864 15229771345152 17133492763296 19581134586624 22844657017728 34266985526592 45689314035456 68533971053184 137067942106368
- Sum of all divisors σ(n): 538649046097344
- Sum of proper divisors (its aliquot sum) s(n): 401581103990976
- 137067942106368 is an abundant number, because the sum of its proper divisors (401581103990976) is greater than itself. Its abundance is 264513161884608
Bases of 137067942106368
- Binary: 111110010101001100111011111111111010101000000002
- Hexadecimal: 0x7CA99DFFD500
- Base-36: 1CL455QO00
Squares and roots of 137067942106368
- 137067942106368 squared (1370679421063682) is 18787620753274649720626151424
- 137067942106368 cubed (1370679421063683) is 2575180513726247642261419468551611882668032
-
The
square root of 137067942106368 is 11707601.8939135439 -
The
cube root of 137067942106368 is 51559.8878648469
Scales and comparisons
How big is 137067942106368?- 137,067,942,106,368 seconds is equal to 4,358,336 years, 30 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,067,942,106,368 would take you about ten million, eight hundred ninety-five 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 137067942106368 cubic inches would be around 4296.7 feet tall.
Recreational maths with 137067942106368
- 137067942106368 backwards is 863601249760731
- 137067942106368 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137067942106368's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 137067942106368 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137067942106368 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137067942106368/
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The information we have on file for 137067942106368 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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