137383275002688
137,383,275,002,688 is an even composite number composed of seven prime numbers multiplied together.
137383275002688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 137383275002688:
26 × 36 × 11 × 13 × 19 × 257 × 4217
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 19 × 257 × 4217)See below for interesting mathematical facts about the number 137383275002688 from the Numbermatics database.
Names of 137383275002688
- Cardinal: 137383275002688 can be written as One hundred thirty-seven trillion, three hundred eighty-three billion, two hundred seventy-five million, two thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37383275002688 × 1014
Factors of 137383275002688
Divisors of 137383275002688
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 32 33 36 38 39 44 48 52 54 57 64 66 72 76 78 81 88 96 99 104 108 114 117 132 143 144 152 156 162 171 176 192 198 208 209 216 228 234 243 247 257 264 286 288 297 304 312 324 342 351 352 396 416 418 429 432 456 468 486 494 513 514 528 572 576 594 608 624 627 648 684 702 704 729 741 771 792 832 836 858 864 891 912 936 972 988 1026 1028 1053 1056 1144 1188 1216 1248 1254 1287 1296 1368 1404 1458 1482 1539 1542 1584 1672 1716 1728 1782 1824 1872 1881 1944 1976 2052 2056 2106 2112 2223 2288 2313 2376 2496 2508 2574 2592 2673 2717 2736 2808 2827 2916 2964 3078 3084 3159 3168 3341 3344 3432 3564 3648 3744 3762 3861 3888 3952 4104 4112 4212 4217 4446 4576 4617 4626 4752 4883 5016 5148 5184 5346 5434 5472 5616 5643 5654 5832 5928 6156 6168 6318 6336 6669 6682 6688 6864 6939 7128 7488 7524 7722 7776 7904 8019 8151 8208 8224 8424 8434 8481 8892 9152 9234 9252 9477 9504 9766 10023 10032 10296 10692 10868 10944 11232 11286 11308 11583 11664 11856 12312 12336 12636 12651 13338 13364 13376 13728 13851 13878 14256 14649 15048 15444 15552 15808 16038 16302 16416 16448 16848 16868 16929 16962 17784 18468 18504 18954 19008 19532 20007 20046 20064 20592 20817 21384 21736 22464 22572 22616 23166 23328 23712 24453 24624 24672 25272 25302 25443 26676 26728 27456 27702 27756 28512 29298 30069 30096 30888 32076 32604 32832 33696 33736 33858 33924 34749 35568 36751 36936 37008 37908 37953 39064 40014 40092 40128 41184 41634 42768 43472 43947 45144 45232 46332 46387 46656 47424 48906 49248 49344 50544 50604 50787 50886 53352 53456 53713 54821 55404 55512 57024 58596 60021 60138 60192 61776 62451 63479 64152 65208 67392 67472 67716 67848 69498 71136 73359 73502 73872 74016 75816 75906 76329 78128 80028 80123 80184 82368 83268 85536 86944 87894 90207 90288 90464 92664 92774 97812 98496 101088 101208 101574 101772 104247 106704 106912 107426 109642 110253 110808 111024 113859 117192 120042 120276 120384 123552 124902 126958 128304 130416 131841 134944 135432 135696 138996 139161 142272 146718 147004 147744 148032 151632 151812 152361 152658 156256 160056 160246 160368 161139 164463 166536 171072 173888 175788 180063 180414 180576 180928 185328 185548 187353 190437 195624 202176 202416 203148 203544 208494 213408 213824 214852 219284 220077 220506 221616 222048 227718 228987 234384 240084 240369 240552 247104 249804 253916 256608 260832 263682 269888 270621 270864 271392 277992 278322 293436 294008 295488 303264 303624 304722 305316 312512 320112 320492 320736 322278 328926 330759 333072 341577 351576 360126 360828 361152 370656 371096 374706 380874 391248 395523 404832 406296 407088 416988 417483 426816 429704 438568 440154 441012 443232 444096 455436 457974 468768 480168 480738 481104 483417 493389 499608 507832 513216 521664 527364 541242 541728 542784 555984 556644 571311 586872 588016 603031 606528 607248 609444 610632 640224 640984 641472 644556 657852 660231 661518 666144 683154 686961 698269 703152 720252 721107 721656 741312 742192 749412 761748 782496 791046 809664 811863 812592 814176 833976 834966 859408 877136 880308 881353 882024 886464 910872 915948 937536 960336 961476 962208 966834 986778 992277 999216 1015664 1024731 1041599 1054728 1082484 1083456 1083769 1111968 1113288 1142622 1173744 1176032 1186569 1206062 1214496 1218888 1221264 1252449 1280448 1281968 1289112 1315704 1320462 1323036 1332288 1366308 1373922 1396538 1406304 1440504 1442214 1443312 1450251 1480167 1484384 1498824 1523496 1564992 1582092 1623726 1625184 1628352 1667952 1669932 1713933 1718816 1754272 1760616 1762706 1764048 1809093 1821744 1831896 1920672 1922952 1924416 1933668 1973556 1980693 1984554 1998432 2031328 2049462 2060883 2083198 2094807 2109456 2163321 2164968 2167538 2223936 2226576 2285244 2347488 2352064 2373138 2412124 2428992 2435589 2437776 2442528 2504898 2563936 2578224 2631408 2640924 2644059 2646072 2732616 2747844 2793076 2812608 2881008 2884428 2886624 2900502 2960334 2968768 2976831 2997648 3046992 3074193 3124797 3164184 3247452 3250368 3251307 3335904 3339864 3427866 3437632 3508544 3521232 3525412 3528096 3559707 3618186 3643488 3663792 3757347 3841344 3845904 3867336 3947112 3961386 3969108 3996864 4062656 4098924 4121766 4166396 4189614 4218912 4326642 4329936 4335076 4350753 4440501 4453152 4570488 4694976 4746276 4824248 4871178 4875552 4885056 5009796 5127872 5141799 5156448 5262816 5281848 5288118 5292144 5427279 5465232 5495688 5586152 5762016 5768856 5773248 5801004 5920668 5953662 5995296 6093984 6148386 6249594 6284421 6328368 6489963 6494904 6502614 6671808 6679728 6855732 7042464 7050824 7056192 7119414 7236372 7286976 7327584 7514694 7691808 7734672 7894224 7922772 7932177 7938216 8197848 8243532 8332792 8379228 8437824 8653284 8659872 8670152 8701506 8881002 8906304 8930493 9140976 9374391 9492552 9648496 9742356 9751104 9753921 10019592 10283598 10312896 10525632 10563696 10576236 10584288 10854558 10930464 10991376 11172304 11272041 11457589 11524032 11537712 11602008 11841336 11907324 11921459 11990592 12187968 12296772 12499188 12568842 12656736 12979926 12989808 13005228 13052259 13321503 13359456 13711464 14084928 14088997 14101648 14238828 14472744 14655168 15029388 15383616 15425397 15469344 15788448 15845544 15864354 15876432 16281837 16395696 16487064 16665584 16758456 17306568 17319744 17340304 17403012 17762004 17860986 18281952 18748782 18853263 18985104 19296992 19469889 19484712 19507842 20039184 20567196 20591611 21127392 21152472 21168576 21709116 21860928 21982752 22344608 22544082 22915178 23075424 23204016 23682672 23796531 23814648 23842918 24593544 24998376 25137684 25313472 25959852 25979616 26010456 26104518 26643006 26718912 26791479 27422928 28123173 28177994 28203296 28477656 28945488 29261763 30058776 30850794 30938688 31576896 31691088 31728708 31752864 32563674 32791392 32974128 33331168 33516912 33816123 34372767 34613136 34680608 34806024 35524008 35721972 35764377 36563904 37497564 37706526 37970208 38593984 38939778 38969424 39015684 39156777 39964509 40078368 41134392 41183222 42254784 42266991 42304944 43418232 43965504 44689216 45088164 45830356 46150848 46276191 46408032 47365344 47593062 47629296 47685836 48845511 49187088 49996752 50275368 51919704 51959232 52020912 52209036 53286012 53582958 54845856 56246346 56355988 56406592 56559789 56955312 57890976 58409667 58523526 60117552 61701588 61774833 63382176 63457416 63505728 65127348 65582784 65948256 66662336 67033824 67632246 68745534 69226272 69361216 69612048 71048016 71389593 71443944 71528754 74995128 75413052 75940416 77879556 77938848 78031368 78313554 79929018 80156736 82268784 82366444 84369519 84533982 84609888 86836464 87785289 90176328 91660712 92552382 92816064 94730688 95186124 95258592 95371672 97691022 98374176 99993504 100550736 103118301 103839408 104041824 104418072 106572024 107165916 107293131 109691712 112492692 112711976 113119578 113910624 115781952 116819334 117047052 120235104 123403176 123549666 126764352 126800973 126914832 130254696 131896512 134067648 135264492 137491068 138452544 139224096 142096032 142779186 142887888 143057508 146536533 149990256 150826104 154978967 155759112 155877696 156062736 156627108 159858036 164537568 164732888 168739038 169067964 169219776 169679367 173672928 175570578 180352656 183321424 185104764 185324499 190372248 190517184 190743344 195382044 196748352 199987008 201101472 206236602 207678816 208083648 208836144 213144048 214168779 214331832 214586262 224985384 225423952 226239156 226507721 227821248 233638668 234094104 240470208 246806352 247099332 253108557 253601946 253829664 260509392 263355867 267690943 270528984 274982136 278448192 284192064 285558372 285775776 286115016 293073066 299980512 301652208 309354903 309957934 311518224 312125472 313254216 319716072 321879393 329075136 329465776 337478076 338135928 339358734 347345856 351141156 360705312 366642848 370209528 370648998 380402919 380744496 381486688 390764088 402202944 412473204 415357632 417672288 426288096 428337558 428663664 429172524 439609599 449970768 450847904 452478312 453015442 464936901 467277336 468188208 493612704 494198664 506217114 507203892 507659328 509038101 521018784 526711734 535381886 541057968 549964272 555973497 571116744 571551552 572230032 586146132 599961024 603304416 618709806 619915868 623036448 624250944 626508432 639432144 642506337 643758786 658931552 674956152 676271856 678717468 679523163 702282312 721410624 733285696 740419056 741297996 759325671 760805838 761488992 762973376 781528176 790067601 803072829 824946408 835344576 852576192 856675116 857327328 858345048 879219198 899941536 901695808 904956624 906030884 928064709 929873802 934554672 936376416 965638179 987225408 988397328 1012434228 1014407784 1018076202 1042037568 1053423468 1070763772 1082115936 1099928544 1111946994 1141208757 1142233488 1144460064 1172292264 1206608832 1237419612 1239831736 1246072896 1253016864 1278864288 1285012674 1287517572 1317863104 1349912304 1352543712 1357434936 1359046326 1394810703 1404564624 1480838112 1482595992 1518651342 1521611676 1522977984 1563056352 1580135202 1606145658 1649892816 1667920491 1713350232 1714654656 1716690096 1758438396 1799883072 1809913248 1812061768 1856129418 1859747604 1869109344 1872752832 1931276358 1976794656 2024868456 2028815568 2036152404 2038569489 2106846936 2141527544 2164231872 2199857088 2223893988 2282417514 2284466976 2288920128 2344584528 2409218487 2474839224 2479663472 2506033728 2557728576 2570025348 2575035144 2699824608 2705087424 2714869872 2718092652 2784194127 2789621406 2809129248 2896914537 2944600373 2961676224 2965191984 3037302684 3043223352 3126112704 3160270404 3212291316 3299785632 3335840982 3423626271 3426700464 3433380192 3516876792 3619826496 3624123536 3712258836 3719495208 3738218688 3862552716 3953589312 4049736912 4057631136 4072304808 4077138978 4184432109 4213693872 4283055088 4447787976 4564835028 4568933952 4689169056 4818436974 4949678448 4959326944 5003761473 5140050696 5150070288 5399649216 5429739744 5436185304 5568388254 5579242812 5618258496 5793829074 5889200746 5930383968 6074605368 6086446704 6115708467 6320540808 6424582632 6599571264 6671681964 6847252542 6853400928 6866760384 7033753584 7227655461 7248247072 7424517672 7438990416 7725105432 8099473824 8115262272 8144609616 8154277956 8352582381 8368864218 8427387744 8566110176 8690743611 8833801119 8895575952 9129670056 9378338112 9636873948 9899356896 9918653888 10007522946 10270878813 10280101392 10300140576 10859479488 10872370608 11136776508 11158485624 11587658148 11778401492 11860767936 12149210736 12172893408 12231416934 12553296327 12641081616 12849165264 13343363928 13694505084 13706801856 14067507168 14455310922 14496494144 14849035344 14877980832 15011284419 15450210864 16198947648 16289219232 16308555912 16705164762 16737728436 16854775488 17132220352 17381487222 17667602238 17791151904 18259340112 18347125401 19273747896 19798713792 20015045892 20541757626 20560202784 20600281152 21682966383 21744741216 22273553016 22316971248 23175316296 23556802984 24298421472 24345786816 24462833868 25106592654 25282163232 25698330528 26501403357 26686727856 27389010168 28135014336 28910621844 29698070688 29755961664 30022568838 30900421728 32578438464 32617111824 33410329524 33475456872 34762974444 35335204476 35582303808 36518680224 36694250802 37659888981 38547495792 40030091784 41083515252 41120405568 43365932766 43489482432 44547106032 44633942496 46350632592 47113605968 48596842944 48925667736 50213185308 50564326464 51396661056 53002806714 53373455712 54778020336 55041376203 57821243688 59396141376 60045137676 61800843456 65048899149 65234223648 66820659048 66950913744 69525948888 70670408952 73037360448 73388501604 75319777962 77094991584 79504210071 80060183568 82167030504 86731865532 89094212064 89267884992 92701265184 94227211936 97851335472 100426370616 106005613428 106746911424 109556040672 110082752406 112979666943 115642487376 120090275352 130097798298 130468447296 133641318096 133901827488 139051897776 141340817904 146777003208 150639555924 154189983168 159008420142 160120367136 164334061008 165124128609 173463731064 178188424128 185402530368 188454423872 195146697447 195702670944 200852741232 212011226856 219112081344 220165504812 225959333886 231284974752 238512630213 240180550704 260195596596 267282636192 267803654976 278103795552 282681635808 293554006416 301279111848 318016840284 320240734272 328668122016 330248257218 346927462128 390293394894 391405341888 401705482464 424022453712 440331009624 451918667772 462569949504 477025260426 480361101408 520391193192 534565272384 556207591104 565363271616 587108012832 602558223696 636033680568 657336244032 660496514436 693854924256 715537890639 780586789788 803410964928 848044907424 880662019248 903837335544 954050520852 960722202816 1040782386384 1174216025664 1205116447392 1272067361136 1320993028872 1387709848512 1431075781278 1561173579576 1696089814848 1761324038496 1807674671088 1908101041704 2081564772768 2146613671917 2410232894784 2544134722272 2641986057744 2862151562556 3122347159152 3522648076992 3615349342176 3816202083408 4163129545536 4293227343834 5088269444544 5283972115488 5724303125112 6244694318304 7230698684352 7632404166816 8586454687668 10567944230976 11448606250224 12489388636608 15264808333632 17172909375336 22897212500448 34345818750672 45794425000896 68691637501344 137383275002688
- Sum of all divisors σ(n): 507562399290240
- Sum of proper divisors (its aliquot sum) s(n): 370179124287552
- 137383275002688 is an abundant number, because the sum of its proper divisors (370179124287552) is greater than itself. Its abundance is 232795849284864
Bases of 137383275002688
- Binary: 111110011110011000010010100110111111011010000002
- Hexadecimal: 0x7CF3094DFB40
- Base-36: 1CP506T000
Squares and roots of 137383275002688
- 137383275002688 squared (1373832750026882) is 18874164250464197486407225344
- 137383275002688 cubed (1373832750026883) is 2592994497667425474434640364265184221724672
-
The
square root of 137383275002688 is 11721061.1722099633 -
The
cube root of 137383275002688 is 51599.3964388029
Scales and comparisons
How big is 137383275002688?- 137,383,275,002,688 seconds is equal to 4,368,363 years, 9 weeks, 6 days, 10 hours, 4 minutes, 48 seconds.
-
To count from 1 to 137,383,275,002,688 would take you about ten million, nine hundred twenty thousand, nine hundred seven 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 137383275002688 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137383275002688
- 137383275002688 backwards is 886200572383731
- The number of decimal digits it has is: 15
- The sum of 137383275002688'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 137383275002688 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 137383275002688 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137383275002688/
Chicago style:
Numbermatics. 2024. "Number 137383275002688 - Facts about the integer". https://numbermatics.com/n/137383275002688/
The information we have on file for 137383275002688 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 137383275002688, math, Factors of 137383275002688, curriculum, school, college, exams, university, Prime factorization of 137383275002688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred eighty-three billion, two hundred seventy-five million, two thousand, six hundred eighty-eight.