137968783834464
137,968,783,834,464 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137968783834464 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
137968783834464 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137968783834464:
25 × 34 × 11 × 17 × 19 × 31 × 59 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 17 × 19 × 31 × 59 × 8191)See below for interesting mathematical facts about the number 137968783834464 from the Numbermatics database.
Names of 137968783834464
- Cardinal: 137968783834464 can be written as One hundred thirty-seven trillion, nine hundred sixty-eight billion, seven hundred eighty-three million, eight hundred thirty-four thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.37968783834464 × 1014
Factors of 137968783834464
Divisors of 137968783834464
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 19 22 24 27 31 32 33 34 36 38 44 48 51 54 57 59 62 66 68 72 76 81 88 93 96 99 102 108 114 118 124 132 136 144 152 153 162 171 176 177 186 187 198 204 209 216 228 236 248 264 272 279 288 297 304 306 323 324 341 342 352 354 372 374 396 408 418 432 456 459 472 496 513 527 528 531 544 558 561 589 594 608 612 627 646 648 649 682 684 708 744 748 792 816 836 837 864 891 912 918 944 969 992 1003 1023 1026 1054 1056 1062 1116 1121 1122 1178 1188 1224 1254 1292 1296 1298 1364 1368 1377 1416 1488 1496 1539 1581 1584 1593 1632 1672 1674 1683 1767 1782 1824 1829 1836 1881 1888 1938 1947 2006 2046 2052 2108 2124 2232 2242 2244 2356 2376 2448 2508 2511 2584 2592 2596 2728 2736 2754 2832 2907 2976 2992 3009 3069 3078 3162 3168 3186 3344 3348 3363 3366 3534 3553 3564 3658 3672 3762 3876 3894 4012 4092 4104 4216 4248 4464 4484 4488 4712 4743 4752 4779 4896 5016 5022 5049 5168 5192 5301 5456 5472 5487 5508 5643 5664 5797 5814 5841 5984 6018 6138 6156 6324 6372 6479 6688 6696 6726 6732 7068 7106 7128 7316 7344 7524 7752 7788 8024 8184 8191 8208 8432 8496 8721 8928 8968 8976 9027 9207 9424 9486 9504 9558 10013 10032 10044 10089 10098 10336 10384 10602 10659 10912 10974 11016 11033 11286 11594 11628 11682 12036 12276 12312 12331 12648 12744 12958 13392 13452 13464 14136 14212 14229 14256 14632 14688 15048 15147 15504 15576 15903 16048 16368 16382 16416 16461 16864 16929 16992 17391 17442 17523 17936 17952 18054 18414 18848 18972 19057 19116 19437 20026 20064 20088 20119 20178 20196 20768 21204 21318 21948 22032 22066 22572 23188 23256 23364 24072 24552 24573 24624 24662 25296 25488 25916 26163 26784 26904 26928 27081 27621 28272 28424 28458 28512 29264 30039 30096 30267 30294 31008 31093 31152 31806 31977 32096 32736 32764 32922 33099 33858 34751 34782 34884 35046 35872 36108 36828 36993 37944 38114 38232 38874 40052 40176 40238 40356 40392 42408 42636 42687 43896 44064 44132 45144 46376 46512 46728 47709 48144 49104 49146 49248 49324 49383 50592 50976 51832 52173 52326 52569 53808 53856 54162 55242 56544 56848 56916 57171 58311 58528 60078 60192 60357 60534 60588 62186 62304 63612 63954 65528 65844 66198 67716 69502 69564 69768 70092 72216 73656 73719 73986 75888 76228 76464 77748 80104 80352 80476 80712 80784 81243 84816 85272 85374 87792 88264 90101 90117 90288 90801 92752 93024 93279 93456 95418 95931 96288 98208 98292 98648 98766 99297 103664 104253 104346 104652 105138 107616 108324 110143 110484 110979 113696 113832 114342 116622 120156 120714 121068 121176 124372 127224 127908 131056 131688 132396 135432 139004 139128 139247 139536 140184 144432 147312 147438 147972 148149 151776 152456 152928 155496 155629 156519 160208 160952 161424 161568 162486 169632 170544 170748 171513 174933 175584 176528 180202 180234 180576 181071 181602 185504 186558 186912 190836 191862 196584 197296 197532 198594 207328 208506 208692 209304 209627 210276 216648 220286 220968 221157 221958 227664 228684 233244 240312 241428 242136 242352 248744 253921 254448 255816 262112 263376 264792 270303 270351 270864 278008 278256 278494 279072 279837 280368 287793 288864 294624 294876 295944 296298 297891 304912 310992 311258 312759 313038 320416 321904 322848 324972 330429 332937 341088 341496 342023 343026 349866 353056 360404 360468 362142 363204 373116 381672 382261 383724 393168 394592 395064 397188 417012 417384 417741 418608 419254 420552 433296 440572 441936 442314 443916 455328 457368 466488 466887 469557 480624 482856 483269 484272 484704 497488 507842 508896 511632 514539 524799 526752 529584 540606 540702 541728 543213 556016 556512 556988 559674 560736 575586 589752 590767 591888 592596 595782 609824 621984 622516 625518 626076 628881 643808 649944 660858 663471 665874 682992 684046 686052 699732 720808 720936 724284 726408 746232 761763 763344 764522 767448 786336 790128 794376 810909 811053 834024 834768 835482 837216 838508 839511 841104 866592 881144 883872 884628 887832 893673 914736 932976 933774 938277 939114 961248 965712 966538 968544 991287 994976 998811 1015684 1023264 1026069 1029078 1049598 1059168 1081212 1081404 1086426 1112032 1113976 1119348 1146783 1151172 1179504 1181534 1183776 1185192 1191564 1245032 1251036 1252152 1253223 1257762 1299888 1321716 1326942 1331748 1365984 1368092 1372104 1399464 1400661 1441616 1441872 1448568 1449807 1452816 1492464 1523526 1526688 1529044 1531717 1534896 1543617 1580256 1588752 1621818 1622106 1629639 1668048 1669536 1670964 1677016 1679022 1682208 1711919 1762288 1769256 1772301 1775664 1787346 1829472 1865952 1867548 1876554 1878228 1886643 1931424 1933076 1982574 1997622 2031368 2052138 2058156 2099196 2162424 2162808 2172852 2227952 2238696 2285289 2293566 2302344 2359008 2363068 2370384 2383128 2432727 2490064 2502072 2504304 2506446 2515524 2518533 2599776 2643432 2645693 2653884 2663496 2736184 2744208 2793131 2798928 2801322 2814831 2883232 2883744 2897136 2899614 2905632 2973861 2984928 3047052 3058088 3063434 3069792 3078207 3087234 3177504 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1530996192 1531268064 1563137676 1571541642 1616051536 1617984612 1626683454 1698223648 1707872646 1709396172 1714409064 1717054757 1722370716 1774563768 1804362626 1809948888 1818057978 1864795824 1871549856 1873150644 1910501604 1968395592 1977536748 1983335976 1985105232 2037462104 2084183568 2095388856 2105493588 2157312816 2168911272 2214445041 2218647024 2277163528 2279194896 2285878752 2292144867 2296494288 2357312463 2366085024 2413265184 2424077304 2426976918 2440025181 2497534192 2547335472 2561808969 2564094258 2624527456 2636715664 2644447968 2661845652 2706543939 2727086967 2793851808 2797193736 2801510393 2807324784 2809725966 2865752406 2891881696 2952593388 2966305122 2975003964 3056193156 3126275352 3131099851 3143083284 3232103072 3235969224 3253366908 3415745292 3418792344 3428818128 3434109514 3444741432 3549127536 3608725252 3619897776 3636115956 3729591648 3746301288 3821003208 3846141387 3936791184 3955073496 3966671952 3970210464 4074924208 4168367136 4190777712 4210987176 4214588949 4298628609 4314625632 4337822544 4428890082 4437294048 4449457683 4554327056 4558389792 4584289734 4592988576 4714624926 4838972497 4848154608 4853953836 4880050362 4995068384 5094670944 5123617938 5128188516 5151164271 5273431328 5323691304 5413087878 5454173934 5594387472 5603020786 5614649568 5619451932 5731504812 5905186776 5932610244 5950007928 6112386312 6252550704 6262199702 6286166568 6471938448 6506733816 6643335123 6831490584 6837584688 6857636256 6868219028 6876434601 6889482864 7098255072 7217450504 7239795552 7272231912 7320075543 7492602576 7642006416 7685426907 7692282774 7873582368 7910146992 7933343904 8119631817 8149848416 8181260901 8381555424 8404531179 8421974352 8429177898 8597257218 8675645088 8857780164 8898915366 9108654112 9168579468 9393299553 9429249852 9677944994 9696309216 9707907672 9760100724 10247235876 10256377032 10302328542 10647382608 10826175756 10908347868 11188774944 11206041572 11238903864 11463009624 11810373552 11865220488 11900015856 12224772624 12505101408 12524399404 12572333136 12643766847 12943876896 13013467632 13286670246 13348373049 13662981168 13675169376 13736438056 13752869202 13778965728 14434901008 14516917491 14544463824 14640151086 14985205152 15284012832 15370853814 15384565548 15453492813 15820293984 16239263634 16362521802 16809062358 16843948704 16858355796 17194514436 17715560328 17797830732 18337158936 18786599106 18858499704 19355889988 19415815344 19520201448 20494471752 20512754064 20604657084 20629303803 21294765216 21652351512 21816695736 22412083144 22477807728 22926019248 23056280721 23620747104 23730440976 23800031712 24358895451 24449545248 25048798808 25144666272 25213593537 25287533694 26026935264 26573340492 26696746098 27325962336 27472876112 27505738404 28179898659 28869802016 29033834982 29088927648 29280302172 30741707628 30769131096 30906985626 32478527268 32725043604 33618124716 33716711592 34389028872 35431120656 35595661464 36674317872 37573198212 37716999408 38711779976 38831630688 39040402896 40988943504 41025508128 41209314168 41258607606 43304703024 43550752473 43633391472 44824166288 44955615456 45852038496 46112561442 46360478439 47460881952 48717790902 50097597616 50427187074 50575067388 53146680984 53228697467 53393492196 54945752224 55011476808 56359797318 58067669964 58560604344 61483415256 61538262192 61813971252 64957054536 65450087208 67236249432 67433423184 68778057744 70862241312 71191322928 73076686353 73348635744 75146396424 75433998816 75640780611 77423559952 78080805792 81977887008 82418628336 82517215212 84539695977 86609406048 87101504946 87266782944 89648332576 92225122884 92720956878 97435581804 100195195232 100854374148 101150134776 106293361968 106457394934 106786984392 110022953616 112719594636 116135339928 117121208688 122966830512 123076524384 123627942504 129914109072 130652257419 130900174416 134472498864 134866846368 137556115488 139081435317 142382645856 146153372706 150292792848 151281561222 154847119904 159686092401 164837256672 165034430424 169079391954 174203009892 184450245768 185441913756 194871163608 201708748296 202300269552 212586723936 212914789868 213573968784 220045907232 225439189272 226922341833 232270679856 234242417376 245933661024 247255885008 253619087931 259828218144 261304514838 261800348832 268944997728 278162870634 292306745412 300585585696 302563122444 319372184802 330068860848 338158783908 348406019784 368900491536 370883827512 389742327216 391956772257 403417496592 404600539104 425829579736 427147937568 450878378544 453844683666 464541359712 479058277203 494511770016 507238175862 522609029676 556325741268 584613490824 605126244888 638744369604 660137721696 676317567816 696812039568 737800983072 741767655024 779484654432 783913544514 806834993184 851659159472 901756757088 907689367332 958116554406 1014476351724 1045218059352 1112651482536 1169226981648 1210252489776 1277488739208 1352635135632 1393624079136 1437174831609 1483535310048 1567827089028 1703318318944 1815378734664 1916233108812 2028952703448 2090436118704 2225302965072 2338453963296 2420504979552 2554977478416 2705270271264 2874349663218 3135654178056 3630757469328 3832466217624 4057905406896 4180872237408 4311524494827 4450605930144 5109954956832 5748699326436 6271308356112 7261514938656 7664932435248 8115810813792 8623048989654 11497398652872 12542616712224 15329864870496 17246097979308 22994797305744 34492195958616 45989594611488 68984391917232 137968783834464
- Sum of all divisors σ(n): 517965506150400
- Sum of proper divisors (its aliquot sum) s(n): 379996722315936
- 137968783834464 is an abundant number, because the sum of its proper divisors (379996722315936) is greater than itself. Its abundance is 242027938481472
Bases of 137968783834464
- Binary: 111110101111011010111000101100110111101011000002
- Hexadecimal: 0x7D7B5C59BD60
- Base-36: 1CWLZFNA00
Squares and roots of 137968783834464
- 137968783834464 squared (1379687838344642) is 19035385312761054770954167296
- 137968783834464 cubed (1379687838344643) is 2626288961422060866172731018997019026489344
-
The
square root of 137968783834464 is 11746011.4010869239 -
The
cube root of 137968783834464 is 51672.5957516717
Scales and comparisons
How big is 137968783834464?- 137,968,783,834,464 seconds is equal to 4,386,980 years, 29 weeks, 1 day, 14 minutes, 24 seconds.
-
To count from 1 to 137,968,783,834,464 would take you about ten million, nine hundred sixty-seven thousand, four hundred fifty-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 137968783834464 cubic inches would be around 4306 feet tall.
Recreational maths with 137968783834464
- 137968783834464 backwards is 464438387869731
- 137968783834464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137968783834464's digits is 81
- More coming soon!
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"Number 137968783834464 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 137968783834464 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137968783834464/
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The information we have on file for 137968783834464 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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