20988398987049312
20,988,398,987,049,312 is an even composite number composed of seven prime numbers multiplied together.
20988398987049312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 20988398987049312:
25 × 36 × 72 × 13 × 61 × 79 × 293093
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 61 × 79 × 293093)See below for interesting mathematical facts about the number 20988398987049312 from the Numbermatics database.
Names of 20988398987049312
- Cardinal: 20988398987049312 can be written as Twenty quadrillion, nine hundred eighty-eight trillion, three hundred ninety-eight billion, nine hundred eighty-seven million, forty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 2.0988398987049312 × 1016
Factors of 20988398987049312
Divisors of 20988398987049312
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 61 63 72 78 79 81 84 91 96 98 104 108 112 117 122 126 144 147 156 158 162 168 182 183 189 196 208 216 224 234 237 243 244 252 273 288 294 312 316 324 336 351 364 366 378 392 416 427 432 441 468 474 486 488 504 546 549 553 567 588 624 632 637 648 672 702 711 728 729 732 756 784 793 819 854 864 882 936 948 972 976 1008 1027 1053 1092 1098 1106 1134 1176 1248 1264 1274 1281 1296 1323 1404 1422 1456 1458 1464 1512 1568 1586 1638 1647 1659 1701 1708 1764 1872 1896 1911 1944 1952 2016 2054 2106 2133 2184 2196 2212 2268 2352 2379 2457 2528 2548 2562 2592 2646 2808 2844 2912 2916 2928 2989 3024 3081 3159 3172 3276 3294 3318 3402 3416 3528 3744 3792 3822 3843 3871 3888 3969 4108 4212 4266 4368 4392 4424 4536 4704 4758 4819 4914 4941 4977 5096 5103 5124 5292 5551 5616 5688 5733 5832 5856 5978 6048 6162 6318 6344 6399 6552 6588 6636 6804 6832 7056 7137 7189 7371 7584 7644 7686 7742 7776 7938 8216 8424 8532 8736 8784 8848 8967 9072 9243 9477 9516 9638 9828 9882 9954 10192 10206 10248 10584 11102 11232 11376 11466 11529 11613 11664 11907 11956 12324 12636 12688 12798 13104 13176 13272 13608 13664 14112 14274 14378 14457 14742 14823 14931 15288 15372 15484 15876 16432 16653 16848 17064 17199 17568 17696 17934 18144 18486 18954 19032 19197 19276 19656 19764 19908 20384 20412 20496 21168 21411 21567 22113 22204 22752 22932 23058 23226 23328 23814 23912 24648 25272 25376 25596 26208 26352 26544 26901 27216 27729 28548 28756 28914 29484 29646 29862 30576 30744 30968 31752 32864 33306 33696 33733 34128 34398 34587 34839 35721 35868 36972 37908 38064 38394 38552 38857 39312 39528 39816 40824 40992 42336 42822 43134 43371 44226 44408 44469 44793 45864 46116 46452 47628 47824 49296 49959 50323 50544 51192 51597 52704 53088 53802 54432 55458 57096 57512 57591 57828 58968 59292 59724 61152 61488 61936 62647 63504 64233 64701 66339 66612 67466 68256 68796 69174 69678 71442 71736 73944 75816 76128 76788 77104 77714 78624 79056 79632 80703 81648 83187 85644 86268 86742 88452 88816 88938 89586 91728 92232 92904 95256 95648 98592 99918 100646 101088 101199 102384 103194 103761 104517 107604 110916 114192 115024 115182 115656 116571 117936 118584 119448 122976 123872 125294 127008 128466 129402 130113 132678 133224 134379 134932 137592 138348 139356 142884 143472 147888 149877 150969 151632 153576 154208 154791 155428 158112 159264 161406 163296 166374 171288 172536 173484 176904 177632 177876 179172 183456 184464 185808 187941 190512 192699 194103 199836 201292 202398 204768 206388 207522 209034 215208 221832 228384 230048 230364 231312 233142 235872 236131 237168 238896 242109 249561 250588 256932 258804 260226 265356 266448 268758 269864 275184 276696 278712 285768 286944 293093 295776 299754 301938 303264 303597 307152 309582 310856 311283 313551 322812 332748 342576 345072 346968 349713 353808 355752 358344 368928 371616 375882 381024 385398 388206 390339 399672 402584 403137 404796 412776 415044 418068 430416 438529 443664 449631 452907 460728 462624 464373 466284 472262 474336 477792 484218 499122 501176 513864 517608 520452 530712 532896 537516 539728 550368 553392 557424 563823 571536 578097 582309 586186 599508 603876 607194 614304 619164 621712 622566 627102 645624 665496 685152 690144 693936 699426 707616 708393 711504 716688 726327 748683 751764 770796 776412 780678 799344 805168 806274 809592 825552 830088 836136 860832 877058 879279 887328 899262 905814 910791 921456 928746 932568 940653 944524 968436 998244 1002352 1027728 1035216 1040904 1049139 1061424 1075032 1079456 1106784 1114848 1127646 1143072 1156194 1164618 1171017 1172372 1199016 1207752 1214388 1238328 1243424 1245132 1254204 1291248 1315587 1330992 1348893 1358721 1387872 1398852 1416786 1423008 1433376 1452654 1497366 1503528 1541592 1552824 1561356 1598688 1610336 1612548 1619184 1651104 1660176 1672272 1691469 1746927 1754116 1758558 1798524 1811628 1821582 1842912 1857492 1865136 1881306 1889048 1936872 1996488 2004704 2051651 2055456 2070432 2081808 2098278 2122848 2125179 2150064 2178981 2255292 2312388 2329236 2342034 2344744 2398032 2415504 2428776 2476656 2490264 2508408 2582496 2631174 2637837 2661984 2697786 2717442 2732373 2797704 2821959 2833572 2905308 2994732 3007056 3069703 3083184 3105648 3122712 3147417 3225096 3238368 3320352 3344544 3382938 3493854 3508232 3513051 3517116 3597048 3623256 3643164 3714984 3730272 3762612 3778096 3810209 3873744 3946761 3992976 4046679 4076163 4103302 4163616 4196556 4250358 4300128 4357962 4510584 4624776 4658472 4684068 4689488 4796064 4831008 4857552 4953312 4980528 5016816 5074407 5240781 5262348 5275674 5395572 5434884 5464746 5595408 5643918 5667144 5810616 5989464 6014112 6139406 6154953 6166368 6211296 6245424 6294834 6375537 6450192 6765876 6987708 7016464 7026102 7034232 7194096 7246512 7286328 7429968 7525224 7556192 7620418 7747488 7893522 7913511 7985952 8093358 8152326 8197119 8206604 8393112 8500716 8715924 9021168 9209109 9249552 9316944 9368136 9378976 9442251 9715104 9961056 10033632 10148814 10481562 10524696 10551348 10791144 10869768 10929492 11190816 11287836 11334288 11430627 11621232 11840283 11978928 12228489 12278812 12309906 12490848 12589668 12751074 12900384 13531752 13975416 14032928 14052204 14068464 14361557 14388192 14493024 14572656 14859936 15050448 15223221 15240836 15787044 15827022 16186716 16304652 16394238 16413208 16786224 17001432 17431848 17878673 18042336 18418218 18464859 18499104 18633888 18736272 18884502 19126611 20297628 20963124 21049392 21102696 21582288 21739536 21858984 22575672 22668576 22861254 23154347 23242464 23680566 23740533 23957856 24456978 24557624 24591357 24619812 25179336 25502148 26671463 27063504 27627327 27950832 28104408 28136928 28326753 28723114 29145312 30100896 30446442 30481672 31574088 31654044 32373432 32609304 32788476 32826416 33572448 34002864 34291881 34863696 35520849 35757346 36685467 36836436 36929718 37472544 37769004 38253222 40595256 41926248 42098784 42205392 43084671 43164576 43479072 43717968 45151344 45669663 45722508 46308694 47361132 47481066 48913956 49115248 49182714 49239624 50358672 51004296 53342926 53636019 54127008 55254654 55394577 55901664 56208816 56653506 57379833 57446228 60892884 60963344 63148176 63308088 64746864 65218608 65576952 65652832 68005728 68583762 69463041 69727392 71041698 71221599 71514692 73370934 73672872 73859436 75538008 76506444 80014389 81190512 82881981 83852496 84410784 86169342 87435936 90302688 91339326 91445016 92617388 94722264 94962132 97827912 98230496 98365428 98479248 100717344 102008592 102875643 106562547 106685852 107272038 110509308 110789154 112417632 113307012 114759666 114892456 121785768 121926688 125150711 126296352 126616176 129254013 129493728 130437216 131153904 137167524 138926082 142083396 142443198 143029384 146741868 147345744 147718872 151076016 153012888 160028778 160908057 162080429 162381024 165763962 166183731 167704992 172139499 172338684 182678652 182890032 185234776 186700241 189444528 189924264 195655824 196730856 196958496 204017184 205751286 208389123 213125094 213371704 213664797 214544076 221018616 221578308 226614024 229519332 229784912 232422749 240043167 243571536 248645943 250301422 253232352 258508026 262307808 274335048 277852164 284166792 284886396 286058768 293483736 294691488 295437744 301006511 302152032 306025776 308626929 319687641 320057556 321816114 324160858 331527924 332367462 344278998 344677368 365357304 365780064 370469552 373400482 375452133 378889056 379848528 387762039 391311648 393461712 411502572 416778246 426250188 426743408 427329594 429088152 442037232 443156616 453228048 459038664 459569824 464845498 480086334 482724171 486241287 487143072 497291886 498551193 500602844 517016052 548670096 555704328 560100723 568333584 569772792 572117536 586967472 590875488 602013022 612051552 617253858 625167369 639375282 640115112 643632228 648321716 663055848 664734924 688557996 689354736 697268247 720129501 730714608 740939104 745937829 746800964 750904266 759697056 775524078 786923424 823005144 833556492 852500376 853486816 854659188 858176304 876054977 884074464 886313232 903019533 906456096 918077328 925880787 929690996 960172668 965448342 972482574 994583772 997102386 1001205688 1034032104 1097340192 1111408656 1120201446 1126356399 1134563003 1136667168 1139545584 1163286117 1173934944 1204026044 1234507716 1250334738 1278750564 1280230224 1287264456 1296643432 1326111696 1329469848 1377115992 1378709472 1394536494 1412415167 1440259002 1448172513 1458723861 1461429216 1491875658 1493601928 1495653579 1501808532 1551048156 1626959243 1646010288 1667112984 1680302169 1705000752 1709318376 1716352608 1752109954 1772626464 1806039066 1836154656 1851761574 1859381992 1875502107 1920345336 1930896684 1944965148 1989167544 1994204772 2002411376 2068064208 2091804741 2107045577 2160388503 2222817312 2237813487 2240402892 2252712798 2269126006 2279091168 2326572234 2408052088 2469015432 2500669476 2557501128 2560460448 2574528912 2593286864 2628164931 2652223392 2658939696 2709058599 2754231984 2777642361 2789072988 2824830334 2880518004 2896345026 2917447722 2983751316 2987203856 2991307158 3003617064 3102096312 3253918486 3292020576 3334225968 3360604338 3379069197 3403689009 3410001504 3418636752 3489858351 3504219908 3612078132 3703523148 3718763984 3751004214 3840690672 3861793368 3889930296 3978335088 3988409544 4004822752 4136128416 4183609482 4214091154 4237245501 4320777006 4344517539 4376171583 4475626974 4480805784 4505425596 4538252012 4653144468 4816104176 4880877729 4938030864 5001338952 5040906507 5115002256 5149057824 5186573728 5256329862 5317879392 5418117198 5508463968 5555284722 5578145976 5626506321 5649660668 5761036008 5792690052 5834895444 5967502632 5974407712 5982614316 6007234128 6204192624 6275414223 6321136731 6481165509 6507836972 6668451936 6721208676 6758138394 6807378018 6837273504 6979716702 7008439816 7224156264 7407046296 7437527968 7502008428 7681381344 7723586736 7779860592 7884494793 7956670176 7976819088 8127175797 8367218964 8428182308 8474491002 8641554012 8689035078 8752343166 8951253948 8961611568 9010851192 9076504024 9306288936 9632208352 9761755458 9876061728 9886906169 10002677904 10081813014 10137207591 10211067027 10230004512 10469575053 10512659724 10836234396 11110569444 11156291952 11253012642 11299321336 11388714701 11522072016 11585380104 11669790888 11935005264 11965228632 12014468256 12408385248 12550828446 12642273462 12711736503 12962331018 13015673944 13033552617 13128514749 13442417352 13516276788 13614756036 13959433404 14016879632 14448312528 14642633187 14749319039 14814092592 15004016856 15122719521 15447173472 15559721184 15768989586 15953638176 16254351594 16734437928 16856364616 16879518963 16948982004 17283108024 17378070156 17504686332 17902507896 17923223136 18021702384 18153008048 18361397171 18612577872 18826242669 18963410193 19443496527 19523510916 19773812338 20005355808 20163626028 20274415182 20422134054 20939150106 21025319448 21672468792 22221138888 22312583904 22506025284 22598642672 22777429402 23044144032 23170760208 23339581776 23653484379 23870010528 23930457264 24381527391 25101656892 25284546924 25423473006 25924662036 26031347888 26067105234 26257029498 26884834704 27032553576 27229512072 27918866808 28033759264 28896625056 29285266374 29498638078 29628185184 29660718507 30008033712 30245439042 30411622773 30633201081 31537979172 32508703188 33468875856 33712729232 33759037926 33897964008 34166144103 34566216048 34756140312 35009372664 35805015792 36043404768 36306016096 36722794342 37225155744 37652485338 37926820386 38135209509 38886993054 39047021832 39385544247 39547624676 40327252056 40548830364 40844268108 41878300212 42050638896 43344937584 43927899561 44247957117 44442277776 45012050568 45197285344 45368158563 45554858804 46341520416 46679163552 47306968758 47860914528 48763054782 50203313784 50569093848 50846946012 51849324072 52062695776 52134210468 52514058996 53769669408 54065107152 54459024144 55084191513 55837733616 56478728007 56890230579 58570532748 58997276156 59321437014 60016067424 60490878084 60823245546 61266402162 63075958344 65017406376 66937751712 67425458464 67518075852 67795928016 68332288206 69132432096 69208343183 69512280624 70018745328 70960453137 71610031584 73144582173 73445588684 75304970676 75853640772 76270419018 77773986108 78094043664 78771088494 79095249352 80654504112 81097660728 81688536216 83756600424 84101277792 86689875168 87855799122 88495914234 88884555552 88982155521 90024101136 90736317126 91109717608 91234868319 91899603243 94613937516 97526109564 100406627568 101138187696 101693892024 102498432309 103698648144 104268420936 105028117992 108130214304 108918048288 110168383026 111675467232 112957456014 113780461158 114405628527 117141065496 117994552312 118156632741 118642874028 120981756168 121646491092 122532804324 126151916688 128529780197 130034812752 131783698683 132743871351 135036151704 135591856032 136104475689 136664576412 138416686366 139024561248 140037490656 141920906274 146289164346 146891177368 150609941352 151707281544 152540838036 155547972216 156188087328 157542176988 158190498704 161309008224 162195321456 163377072432 165252574539 167513200848 169436184021 170670691737 175711598244 176991828468 177964311042 180048202272 181472634252 182219435216 182469736638 183799206486 189227875032 195052219128 200813255136 202276375392 203387784048 204996864618 207397296288 207625029549 208536841872 210056235984 212881359411 219433746519 220336766052 225914912028 227560922316 228811257054 234282130992 235989104624 236313265482 237285748056 241963512336 243292982184 245065608648 252303833376 257059560394 260069625504 263567397366 265487742702 266946466563 270072303408 272208951378 273329152824 275698809729 276833372732 283841812548 292578328692 293782354736 301219882704 303414563088 305081676072 307495296927 311095944432 315084353976 316380997408 324390642912 326754144864 330505149078 335026401696 338872368042 341341383474 343216885581 351423196488 353983656936 355928622084 362945268504 364438870432 364939473276 367598412972 378455750064 385589340591 390104438256 395351096049 398231614053 406775568096 409993729236 415250059098 417073683744 420112471968 425762718822 438867493038 440673532104 451829824056 455121844632 457622514108 468564261984 471978209248 472626530964 474571496112 483927024672 486585964368 490131217296 495757723617 512012075211 514119120788 527134794732 530975485404 533892933126 540144606816 544417902756 546658305648 551397619458 553666745464 567683625096 585156657384 587564709472 602439765408 606829126176 610163352144 614990593854 622191888864 622875088647 630168707952 638644078233 661010298156 677744736084 682682766948 686433771162 702846392976 707967313872 711857244168 725890537008 729878946552 735196825944 756911500128 771178681182 780208876512 790702192098 796463228106 800839399689 819987458472 827096429187 830500118196 851525437644 877734986076 881347064208 899708461379 903659648112 910243689264 915245028216 922485890781 945253061928 949142992224 973171928736 980262434592 991515447234 1024024150422 1028238241576 1029650656743 1054269589464 1061950970808 1067785866252 1088835805512 1093316611296 1102795238916 1107333490928 1135367250192 1156768021773 1170313314768 1186053288147 1194694842159 1220326704288 1229981187708 1245750177294 1260337415904 1277288156466 1322020596312 1355489472168 1365365533896 1372867542324 1405692785952 1415934627744 1423714488336 1451781074016 1459757893104 1470393651888 1487273170851 1536036225633 1542357362364 1581404384196 1592926456212 1601678799378 1639974916944 1654192858374 1661000236392 1703050875288 1755469972152 1762694128416 1799416922758 1807319296224 1820487378528 1830490056432 1844971781562 1868625265941 1890506123856 1983030894468 2048048300844 2056476483152 2059301313486 2108539178928 2123901941616 2135571732504 2177671611024 2205590477832 2214666981856 2270734500384 2313536043546 2340626629536 2372106576294 2389389684318 2402518199067 2459962375416 2491500354588 2554576312932 2644041192624 2699125384137 2710978944336 2730731067792 2745735084648 2767457672343 2847428976672 2919515786208 2940787303776 2974546341702 3072072451266 3084714724728 3162808768392 3185852912424 3203357598756 3279949833888 3308385716748 3322000472784 3406101750576 3470304065319 3510939944304 3584084526477 3598833845516 3660980112864 3689943563124 3737250531882 3781012247712 3966061788936 4096096601688 4112952966304 4118602626972 4217078357856 4247803883232 4271143465008 4355343222048 4411180955664 4461819512553 4627072087092 4744213152588 4778779368636 4805036398134 4919924750832 4983000709176 5109152625864 5288082385248 5398250768274 5421957888672 5461462135584 5491470169296 5534915344686 5605875797823 5949092683404 6144144902532 6169429449456 6325617536784 6371705824848 6406715197512 6616771433496 6644000945568 6812203501152 6940608130638 7021879888608 7168169052954 7197667691032 7207554597201 7379887126248 7474501063764 7932123577872 8097376152411 8192193203376 8237205253944 8302373017029 8542286930016 8822361911328 8923639025106 9254144174184 9488426305176 9557558737272 9610072796268 9839849501664 9966001418352 10218305251728 10410912195957 10752253579431 10796501536548 10982940338592 11069830689372 11211751595646 11898185366808 12288289805064 12338858898912 12651235073568 12743411649696 12813430395024 13233542866992 13385458537659 13881216261276 14336338105908 14395335382064 14415109194402 14759774252496 14949002127528 15864247155744 16194752304822 16384386406752 16474410507888 16604746034058 16817627393469 17847278050212 18508288348368 18976852610352 19115117474544 19220145592536 19932002836704 20436610503456 20821824391914 21504507158862 21593003073096 22139661378744 22423503191292 23796370733616 24292128457233 24576579610128 25626860790048 26467085733984 26770917075318 27762432522552 28672676211816 28790670764128 28830218388804 29519548504992 29898004255056 31232736587871 32389504609644 32948821015776 33209492068116 33635254786938 35694556100424 37016576696736 37953705220704 38230234949088 38440291185072 41643648783828 43009014317724 43186006146192 44279322757488 44847006382584 47592741467232 48584256914466 49153159220256 50452882180407 53541834150636 55524865045104 57345352423632 57660436777608 59796008510112 62465473175742 64779009219288 66418984136232 67270509573876 71389112200848 72876385371699 76880582370144 83287297567656 86018028635448 86372012292384 88558645514976 89694012765168 93698209763613 97168513828932 100905764360814 107083668301272 111049730090208 114690704847264 115320873555216 124930946351484 129558018438576 132837968272464 134541019147752 142778224401696 145752770743398 166574595135312 172036057270896 179388025530336 187396419527226 194337027657864 201811528721628 214167336602544 218629156115097 230641747110432 249861892702968 259116036877152 265675936544928 269082038295504 291505541486796 333149190270624 344072114541792 374792839054452 388674055315728 403623057443256 428334673205088 437258312230194 499723785405936 538164076591008 583011082973592 655887468345291 749585678108904 777348110631456 807246114886512 874516624460388 999447570811872 1166022165947184 1311774936690582 1499171356217808 1614492229773024 1749033248920776 2332044331894368 2623549873381164 2998342712435616 3498066497841552 5247099746762328 6996132995683104 10494199493524656 20988398987049312
- Sum of all divisors σ(n): 79882602847447680
- Sum of proper divisors (its aliquot sum) s(n): 58894203860398368
- 20988398987049312 is an abundant number, because the sum of its proper divisors (58894203860398368) is greater than itself. Its abundance is 37905804873349056
Bases of 20988398987049312
- Binary: 10010101001000011010110011100100000011011111001011000002
- Hexadecimal: 0x4A90D67206F960
- Base-36: 5QNRLDWHI00
Squares and roots of 20988398987049312
- 20988398987049312 squared (209883989870493122) is 440512892039572586030696319673344
- 20988398987049312 cubed (209883989870493123) is 9245660337065528200291892390098987077418259939328
-
The
square root of 20988398987049312 is 144873734.6348512961 -
The
cube root of 20988398987049312 is 275841.6046053335
Scales and comparisons
How big is 20988398987049312?- 20,988,398,987,049,312 seconds is equal to 667,366,166 years, 21 weeks, 1 day, 7 hours, 55 minutes, 12 seconds.
-
To count from 1 to 20,988,398,987,049,312 would take you about two billion, two million, ninety-eight thousand, four hundred ninety-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 20988398987049312 cubic inches would be around 22986.8 feet tall.
Recreational maths with 20988398987049312
- 20988398987049312 backwards is 21394078989388902
- The number of decimal digits it has is: 17
- The sum of 20988398987049312's digits is 90
- 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 20988398987049312 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 20988398987049312 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/20988398987049312/
Chicago style:
Numbermatics. 2024. "Number 20988398987049312 - Facts about the integer". https://numbermatics.com/n/20988398987049312/
The information we have on file for 20988398987049312 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 20988398987049312, math, Factors of 20988398987049312, curriculum, school, college, exams, university, Prime factorization of 20988398987049312, STEM, science, technology, engineering, physics, economics, calculator, twenty quadrillion, nine hundred eighty-eight trillion, three hundred ninety-eight billion, nine hundred eighty-seven million, forty-nine thousand, three hundred twelve.