137102407431049008
137,102,407,431,049,008 is an even composite number composed of five prime numbers multiplied together.
What does the number 137102407431049008 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
137102407431049008 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137102407431049008:
24 × 311 × 133 × 613 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 61 × 61 × 61 × 97)See below for interesting mathematical facts about the number 137102407431049008 from the Numbermatics database.
Names of 137102407431049008
- Cardinal: 137102407431049008 can be written as One hundred thirty-seven quadrillion, one hundred two trillion, four hundred seven billion, four hundred thirty-one million, forty-nine thousand and eight.
Scientific notation
- Scientific notation: 1.37102407431049008 × 1017
Factors of 137102407431049008
Divisors of 137102407431049008
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 61 72 78 81 97 104 108 117 122 144 156 162 169 183 194 208 216 234 243 244 291 312 324 338 351 366 388 432 468 486 488 507 549 582 624 648 676 702 729 732 776 793 873 936 972 976 1014 1053 1098 1164 1261 1296 1352 1404 1458 1464 1521 1552 1586 1647 1746 1872 1944 2028 2106 2187 2196 2197 2328 2379 2522 2619 2704 2808 2916 2928 3042 3159 3172 3294 3492 3721 3783 3888 4056 4212 4374 4392 4394 4563 4656 4758 4941 5044 5238 5616 5832 5917 6084 6318 6344 6561 6588 6591 6984 7137 7442 7566 7857 8112 8424 8748 8784 8788 9126 9477 9516 9882 10088 10309 10476 11163 11349 11664 11834 12168 12636 12688 13122 13176 13182 13689 13968 14274 14823 14884 15132 15714 16393 16848 17496 17576 17751 18252 18954 19032 19683 19764 19773 20176 20618 20952 21411 22326 22698 23571 23668 24336 25272 26244 26352 26364 27378 28431 28548 29646 29768 30264 30927 31428 32786 33489 34047 34992 35152 35502 36504 37908 38064 39366 39528 39546 41067 41236 41904 42822 44469 44652 45396 47142 47336 48373 49179 50544 52488 52728 53253 54756 56862 57096 59049 59292 59319 59536 60528 61854 62856 64233 65572 66978 68094 70713 71004 73008 75816 76921 78732 79056 79092 82134 82472 85293 85644 88938 89304 90792 92781 94284 94672 96746 98358 100467 102141 104976 105456 106506 109512 113724 114192 118098 118584 118638 123201 123708 125712 128466 131144 133407 133956 134017 136188 141426 142008 145119 147537 151632 153842 157464 158184 159759 164268 164944 170586 171288 177147 177876 177957 178608 181584 185562 188568 192699 193492 196716 200934 204282 212139 213012 213109 219024 226981 227448 230763 236196 237168 237276 246402 247416 255879 256932 262288 266814 267912 268034 272376 278343 282852 284016 290238 295074 301401 306423 307684 314928 316368 319518 328536 341172 342576 354294 355752 355914 360937 369603 371124 377136 385398 386984 393432 400221 401868 402051 408564 424278 426024 426218 435357 442611 453962 454896 461526 472392 474552 479277 492804 494832 511758 513864 533628 533871 535824 536068 544752 556686 565704 578097 580476 590148 602802 612846 615368 628849 636417 639036 639327 657072 680943 682344 692289 708588 711504 711828 721874 739206 742248 767637 770796 773968 786864 800442 803736 804102 817128 835029 848556 852048 852436 870714 885222 904203 907924 919269 923052 944784 949104 958554 985608 999973 1023516 1027728 1067256 1067742 1072136 1082811 1108809 1113372 1131408 1156194 1160952 1180296 1200663 1205604 1206153 1225692 1230736 1257698 1272834 1278072 1278654 1306071 1327833 1361886 1364688 1384578 1417176 1423656 1437831 1443748 1478412 1484496 1535274 1541592 1600884 1601613 1607472 1608204 1634256 1670058 1697112 1704872 1734291 1741428 1770444 1808406 1815848 1838538 1846104 1886547 1909251 1917108 1917981 1971216 1999946 2042829 2047032 2076867 2134512 2135484 2144272 2165622 2217618 2226744 2302911 2312388 2321904 2360592 2401326 2411208 2412306 2451384 2505087 2515396 2545668 2556144 2557308 2612142 2655666 2712609 2723772 2757807 2769156 2834352 2847312 2875662 2887496 2950753 2956824 2999919 3070548 3083184 3201768 3203226 3216408 3248433 3326427 3340116 3394224 3409744 3468582 3482856 3540888 3601989 3616812 3618459 3631696 3677076 3692208 3773094 3818502 3834216 3835962 3918213 3983499 3999892 4085658 4094064 4153734 4270968 4313493 4331244 4435236 4453488 4605822 4624776 4692181 4802652 4804839 4822416 4824612 4902768 5010174 5030792 5091336 5114616 5202873 5224284 5311332 5425218 5447544 5515614 5538312 5659641 5727753 5751324 5753943 5774992 5901506 5913648 5999838 6128487 6141096 6230601 6403536 6406452 6432816 6496866 6652854 6680232 6937164 6965712 7081776 7203978 7233624 7236918 7354152 7515261 7546188 7637004 7668432 7671924 7836426 7966998 7999784 8137827 8171316 8175037 8273421 8307468 8541936 8626986 8662488 8852259 8870472 8999757 9211644 9249552 9384362 9605304 9609678 9649224 9745299 9979281 10020348 10061584 10182672 10229232 10405746 10448568 10622664 10805967 10850436 10855377 10895088 11031228 11076624 11319282 11455506 11502648 11507886 11754639 11803012 11950497 11999676 12256974 12282192 12461202 12812904 12940479 12993732 12999649 13305708 13360464 13874328 14076543 14407956 14414517 14467248 14473836 14708304 15030522 15092376 15274008 15343848 15608619 15672852 15933996 15999568 16275654 16342632 16350074 16546842 16614936 16978923 17183259 17253972 17261829 17324976 17704518 17740944 17999514 18385461 18423288 18691803 18768724 19210608 19219356 19298448 19490598 19958562 20040696 20811492 20897136 21245328 21611934 21700872 21710754 22017157 22062456 22545783 22638564 22911012 23005296 23015772 23509278 23606024 23900994 23999352 24413481 24513948 24525111 24820263 24922404 25625808 25880958 25987464 25999298 26556777 26611416 26999271 27748656 28153086 28815912 28829034 28947672 29235897 29937843 30061044 30184752 30548016 30687696 31217238 31345704 31867992 32551308 32566131 32685264 32700148 33093684 33229872 33957846 34366518 34507944 34523658 35263917 35409036 35851491 35999028 36770922 36846576 37383606 37537448 38359789 38438712 38821437 38981196 38998947 39917124 40081392 41622984 42229629 43223868 43243551 43401744 43421508 44034314 44124912 45091566 45277128 45822024 46031544 46825857 47018556 47212048 47801988 47998704 48826962 49027896 49050222 49640526 49844808 50936769 51761916 51785487 51974928 51998596 53113554 53222832 53998542 55156383 56075409 56306172 57631824 57658068 57895344 58471794 59875686 60122088 60998353 62434476 62691408 63735984 65102616 65132262 65400296 66051471 66187368 67637349 67915692 68733036 69015888 69047316 70527834 70818072 71702982 71998056 73240443 73541844 73575333 74460789 74767212 75074896 76719578 76877424 77642874 77962392 77997894 79670331 79834248 80997813 83245968 84459258 86447736 86487102 86843016 87707691 88068628 90183132 90554256 91644048 92063088 93651714 94037112 95603976 97653924 97698393 98055792 98100444 99281052 99689616 101873538 103523832 103570974 103997192 105791751 106227108 107554473 107997084 110312766 112150818 112612344 115079367 115316136 116464311 116943588 116996841 119751372 120244176 121996706 124868952 126688887 129730653 130205232 130264524 130800592 132102942 132374736 135274698 135831384 137466072 138094632 140477571 141055668 141636144 143405964 143996112 146480886 147083688 147150666 148921578 149534424 152810307 153439156 155285748 155356461 155924784 155995788 159340662 159668496 161995626 165469149 168226227 168918516 172895472 172974204 173686032 175415382 176137256 180366264 182995059 187303428 188074224 191207952 195307848 195396786 196200888 198154413 198562104 202912047 203747076 207047664 207141948 207994384 211583502 212454216 215108946 215994168 219721329 220625532 220725999 223382367 224301636 225224688 230158734 230632272 232928622 233887176 233993682 239010993 239502744 242993439 243993412 249737904 253377774 259461306 260529048 263123073 264205884 270549396 271662768 274932144 276189264 280955142 282111336 286223041 286811928 292961772 293095179 294167376 294301332 297843156 299068848 305620614 306878312 310571496 310712922 311991576 317375253 318681324 322663419 323991252 330938298 336452454 337837032 345238101 345948408 349392933 350830764 350990523 352274512 360732528 365990118 374606856 380066661 389191959 390615696 390793572 392401776 396308826 397124208 405824094 407494152 414283896 423167004 424908432 430217892 431988336 439442658 441251064 441451998 446764734 448603272 458430921 460317468 465857244 466069383 467774352 467987364 478021986 479005488 485986878 487986824 496407447 498677257 504678681 506755548 518922612 521058096 526246146 528411768 541098792 548985177 561910284 564222672 572446082 573623856 585923544 586190358 588602664 594463239 595686312 608736141 611241228 613756624 621142992 621425844 623983152 634750506 637362648 645326838 647982504 659163987 661876596 662177997 672904908 675674064 690476202 691896816 698785866 701661528 701981046 717032979 728980317 731980236 749213712 760133322 778383918 781587144 789369219 792617652 792978589 811648188 814988304 828567792 846334008 858669123 860435784 878885316 879285537 882502128 882903996 893529468 897206544 916861842 920634936 931714488 932138766 935974728 952125759 956043972 967990257 971973756 975973648 992814894 997354514 1009357362 1013511096 1035714303 1037845224 1048178799 1052492292 1052971569 1056823536 1082197584 1097970354 1123820568 1140199983 1144892164 1171847088 1172380716 1177205328 1188926478 1191372624 1217472282 1222482456 1242851688 1269501012 1274725296 1290653676 1295965008 1318327974 1323753192 1324355994 1345809816 1375292763 1380952404 1397571732 1398208149 1403323056 1403962092 1434065958 1457960634 1463960472 1489222341 1496031771 1514036043 1520266644 1556767836 1563174288 1578738438 1585235304 1585957178 1623296376 1646955531 1692668016 1717338246 1720871568 1757770632 1758571074 1765807992 1783389717 1787058936 1826208423 1833723684 1841269872 1863428976 1864277532 1871949456 1904251518 1912087944 1935980514 1943947512 1985629788 1986533991 1994709028 2018714724 2027022192 2071428606 2075690448 2096357598 2104984584 2105943138 2151098937 2186940951 2195940708 2247641136 2280399966 2289784328 2344761432 2368107657 2377852956 2378935767 2434944564 2444964912 2485703376 2539002024 2576007369 2581307352 2636655948 2637856611 2647506384 2648711988 2691619632 2750585526 2761904808 2795143464 2796416298 2807924184 2856377277 2868131916 2903970771 2915921268 2927920944 2978444682 2992063542 3028072086 3040533288 3107142909 3113535672 3157476876 3158914707 3170470608 3171914356 3246592752 3293911062 3420599949 3434676492 3515541264 3517142148 3531615984 3566779434 3574117872 3652416846 3667447368 3720899533 3728555064 3808503036 3824175888 3871961028 3887895024 3971259576 3973067982 3989418056 4037429448 4125878289 4142857212 4192715196 4194624447 4209969168 4211886276 4302197874 4373881902 4391881416 4467667023 4488095313 4542108129 4560799932 4579568656 4689522864 4736215314 4755705912 4757871534 4869889128 4940866593 5078004048 5152014738 5162614704 5273311896 5275713222 5297423976 5350169151 5501171052 5523809616 5590286928 5592832596 5615848368 5712754554 5736263832 5807941542 5831842536 5956889364 5959601973 5984127084 6056144172 6081066576 6214285818 6227071344 6314953752 6317829414 6343828712 6453296811 6560822853 6587822124 6841199898 6869352984 7034284296 7104322971 7133558868 7136807301 7304833692 7334894736 7441799066 7457110128 7617006072 7728022107 7743922056 7913569833 7942519152 7946135964 7978836112 8074858896 8251756578 8285714424 8385430392 8389248894 8423772552 8569131831 8604395748 8747763804 8783762832 8935334046 8976190626 9084216258 9121599864 9321428727 9472430628 9476744121 9511411824 9515743068 9739778256 9881733186 10261799847 10304029476 10546623792 10551426444 10594847952 10700338302 11002342104 11162698599 11185665192 11425509108 11472527664 11615883084 11663685072 11913778728 11919203946 11968254168 12112288344 12377634867 12428571636 12583873341 12629907504 12635658828 12687657424 12906593622 13121645706 13175644248 13403001069 13464285939 13626324387 13682399796 13738705968 14068568592 14208645942 14267117736 14273614602 14609667384 14822599779 14883598132 15234012144 15456044214 15487844112 15827139666 15892271928 16050507453 16503513156 16571428848 16770860784 16778497788 16847545104 17138263662 17208791496 17495527608 17870668092 17878805919 17952381252 18168432516 18243199728 18642857454 18944861256 18953488242 19031486136 19359890433 19682468559 19763466372 20523599694 20608058952 21102852888 21312968913 21400676604 21410421903 22004684208 22325397198 22371330384 22851018216 23184066321 23231766168 23740709499 23827557456 23838407892 23936508336 24224576688 24755269734 24857143272 25167746682 25271317656 25813187244 26243291412 26351288496 26806002138 26928571878 27252648774 27364799592 27964286181 28417291884 28430232363 28534235472 28547229204 29219334768 29645199558 29767196264 30785399541 30912088428 31654279332 31784543856 32101014906 33007026312 33488095797 33556995576 34276527324 34417582992 34991055216 35741336184 35757611838 35904762504 36336865032 37132904601 37285714908 37751620023 37889722512 37906976484 38062972272 38719780866 39364937118 39526932744 40209003207 40392857817 41047199388 41216117904 42205705776 42625937826 42801353208 42820843806 44467799337 44650794396 45702036432 46368132642 46463532336 47481418998 47676815784 48151522359 48371693929 49510539468 49714286544 50335493364 50542635312 51626374488 52486582824 53612004276 53636417757 53857143756 54505297548 54729599184 55928572362 56834583768 56860464726 57094458408 58079671299 59047405677 59290399116 59534392528 61570799082 61824176856 63308558664 63938906739 64202029812 64231265709 66014052624 66976191594 67113991152 68553054648 69552198963 71482672368 71515223676 71809525008 72673730064 74265809202 74571429816 75503240046 75813952968 77439561732 78729874236 79053865488 80418006414 80785715634 82094398776 83892858543 85251875652 85290697089 85602706416 85641687612 88935598674 89301588792 92356198623 92736265284 94962837996 95353631568 96303044718 96743387858 99021078936 100464287391 100670986728 103252748976 104973165648 107224008552 107272835514 107714287512 109010595096 111398713803 111857144724 113669167536 113720929452 114188916816 116159342598 118094811354 118580798232 121178573451 123141598164 123648353712 126617117328 127877813478 128404059624 128462531418 133403398011 133952383188 137106109296 139104397926 143030447352 144454567077 145115081787 148531618404 149142859632 151006480092 151627905936 154879123464 157459748472 160836012828 160909253271 161571431268 164188797552 167785717086 170503751304 170581394178 171283375224 174239013897 177142217031 177871197348 178603177584 184712397246 185472530568 189925675992 192606089436 192693797127 193486775716 198042157872 200928574782 201341973456 208656596889 214448017104 214545671028 215428575024 218021190192 222797427606 223714289448 227441858904 232318685196 236189622708 237161596464 242357146902 246283196328 251678575629 255755626956 255872091267 256808119248 256925062836 266806796022 267904766376 277068595869 278208795852 286060894704 288909134154 290230163574 297063236808 301392862173 302012960184 309758246928 314919496944 321672025656 321818506542 323142862536 335571434172 341007502608 341162788356 342566750448 348478027794 354284434062 355742394696 363535720353 369424794492 370945061136 379851351984 385212178872 385387594254 386973551432 400210194033 401857149564 417313193778 429091342056 433363701231 435345245361 445594855212 447428578896 454883717808 464637370392 472379245416 482727759813 484714293804 492566392656 503357151258 511511253912 511744182534 513850125672 522717041691 533613592044 535809532752 554137191738 556417591704 577818268308 578081391381 580460327148 594126473616 602785724346 604025920368 625969790667 643344051312 643637013084 646285725072 671142868344 682325576712 696956055588 708568868124 711484789392 727071440706 738849588984 755035726887 767616273801 770424357744 770775188508 773947102864 800420388066 803714299128 831205787607 834626387556 858182684112 866727402462 870690490722 891189710424 904178586519 929274740784 944758490832 965455519626 969428587608 1006714302516 1023022507824 1023488365068 1027700251344 1045434083382 1067227184088 1090607161059 1108274383476 1112835183408 1155636536616 1156162782762 1160920654296 1200630582099 1205571448692 1251939581334 1287274026168 1300091103693 1306035736083 1342285736688 1364651153424 1393912111176 1417137736248 1448183279439 1454142881412 1477699177968 1510071453774 1535232547602 1541550377016 1600840776132 1607428598256 1662411575214 1669252775112 1733454804924 1734244174143 1741380981444 1782379420848 1808357173038 1877909372001 1930911039252 1938857175216 2013428605032 2046976730136 2090868166764 2134454368176 2181214322118 2216548766952 2265107180661 2302848821403 2311273073232 2312325565524 2321841308592 2401261164198 2411142897384 2503879162668 2574548052336 2600182207386 2612071472166 2712535759557 2787824222352 2834275472496 2896366558878 2908285762824 3020142907548 3070465095204 3083100754032 3201681552264 3271821483177 3324823150428 3338505550224 3466909609848 3468488348286 3482761962888 3601891746297 3616714346076 3755818744002 3861822078504 3900273311079 3918107208249 4026857210064 4093953460272 4181736333528 4362428644236 4433097533904 4530214361322 4605697642806 4624651131048 4802522328396 4822285794768 5007758325336 5200364414772 5202732522429 5224142944332 5425071519114 5633728116003 5792733117756 5816571525648 6040285815096 6140930190408 6403363104528 6543642966354 6649646300856 6795321541983 6933819219696 6936976696572 6965523925776 7203783492594 7233428692152 7511637488004 7723644157008 7800546622158 7836214416498 8137607278671 8363472667056 8724857288472 9060428722644 9211395285612 9249302262096 9605044656792 9815464449531 10015516650672 10400728829544 10405465044858 10448285888664 10805675238891 10850143038228 11267456232006 11585466235512 11754321624747 12080571630192 12281860380816 13087285932708 13299292601712 13590643083966 13873953393144 14407566985188 14466857384304 15023274976008 15601093244316 15608197567287 15672428832996 16275214557342 16901184348009 17449714576944 18120857445288 18422790571224 19210089313584 19630928899062 20801457659088 20810930089716 20896571777328 21611350477782 21700286076456 22534912464012 23170932471024 23508643249494 24412821836013 26174571865416 27181286167932 27747906786288 28815133970376 29446393348593 30046549952016 31202186488632 31216395134574 31344857665992 32550429114684 33802368696018 35262964874241 36241714890576 36845581142448 39261857798124 41621860179432 43222700955564 43400572152912 45069824928024 46824592701861 47017286498988 48825643672026 50703553044027 52349143730832 54362572335864 57630267940752 58892786697186 62404372977264 62432790269148 62689715331984 65100858229368 67604737392036 70525929748482 73238465508039 78523715596248 83243720358864 86445401911128 88339180045779 90139649856048 93649185403722 94034572997976 97651287344052 101407106088054 105788894622723 108725144671728 117785573394372 124865580538296 130201716458736 135209474784072 140473778105583 141051859496964 146476931016078 157047431192496 172890803822256 176678360091558 187298370807444 188069145995952 195302574688104 202814212176108 211577789245446 219715396524117 235571146788744 249731161076592 270418949568144 280947556211166 282103718993928 292953862032156 317366683868169 353356720183116 374596741614888 390605149376208 405628424352216 423155578490892 439430793048234 471142293577488 561895112422332 564207437987856 585907724064312 634733367736338 659146189572351 706713440366232 749193483229776 811256848704432 846311156981784 878861586096468 952100051604507 1123790224844664 1171815448128624 1269466735472676 1318292379144702 1413426880732464 1692622313963568 1757723172192936 1904200103209014 2247580449689328 2538933470945352 2636584758289404 2856300154813521 3515446344385872 3808400206418028 5077866941890704 5273169516578808 5712600309627042 7616800412836056 8568900464440563 10546339033157616 11425200619254084 15233600825672112 17137800928881126 22850401238508168 34275601857762252 45700802477016336 68551203715524504 137102407431049008
- Sum of all divisors σ(n): 443360531066835200
- Sum of proper divisors (its aliquot sum) s(n): 306258123635786192
- 137102407431049008 is an abundant number, because the sum of its proper divisors (306258123635786192) is greater than itself. Its abundance is 169155716204737184
Bases of 137102407431049008
- Binary: 1111001110001010111101001110001001100011101001111001100002
- Hexadecimal: 0x1E715E9C4C74F30
- Base-36: 11HYQWGX6R00
Squares and roots of 137102407431049008
- 137102407431049008 squared (1371024074310490082) is 18797070123389362249327759297784064
- 137102407431049008 cubed (1371024074310490083) is 2577123566566926992571192126968204252814645385408512
-
The
square root of 137102407431049008 is 370273422.5286079157 -
The
cube root of 137102407431049008 is 515642.0902929139
Scales and comparisons
How big is 137102407431049008?- 137,102,407,431,049,008 seconds is equal to 4,359,432,470 years, 37 weeks, 1 day, 20 hours, 16 minutes, 48 seconds.
-
To count from 1 to 137,102,407,431,049,008 would take you about thirteen billion, seventy-eight million, two hundred ninety-seven thousand, four hundred twelve 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 137102407431049008 cubic inches would be around 42970.2 feet tall.
Recreational maths with 137102407431049008
- 137102407431049008 backwards is 800940134704201731
- 137102407431049008 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137102407431049008's digits is 54
- 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 137102407431049008 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 137102407431049008 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/137102407431049008/
Chicago style:
Numbermatics. 2024. "Number 137102407431049008 - Facts about the integer". https://numbermatics.com/n/137102407431049008/
The information we have on file for 137102407431049008 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 137102407431049008, math, Factors of 137102407431049008, curriculum, school, college, exams, university, Prime factorization of 137102407431049008, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred two trillion, four hundred seven billion, four hundred thirty-one million, forty-nine thousand and eight.