137319913593103104
137,319,913,593,103,104 is an even composite number composed of five prime numbers multiplied together.
137319913593103104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137319913593103104:
28 × 32 × 193 × 314 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 19 × 31 × 31 × 31 × 31 × 97 × 97)See below for interesting mathematical facts about the number 137319913593103104 from the Numbermatics database.
Names of 137319913593103104
- Cardinal: 137319913593103104 can be written as One hundred thirty-seven quadrillion, three hundred nineteen trillion, nine hundred thirteen billion, five hundred ninety-three million, one hundred three thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37319913593103104 × 1017
Factors of 137319913593103104
Divisors of 137319913593103104
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 76 93 96 97 114 124 128 144 152 171 186 192 194 228 248 256 279 288 291 304 342 361 372 384 388 456 496 558 576 582 589 608 684 722 744 768 776 873 912 961 992 1083 1116 1152 1164 1178 1216 1368 1444 1488 1552 1746 1767 1824 1843 1922 1984 2166 2232 2304 2328 2356 2432 2736 2883 2888 2976 3007 3104 3249 3492 3534 3648 3686 3844 3968 4332 4464 4656 4712 4864 5301 5472 5529 5766 5776 5952 6014 6208 6498 6859 6984 7068 7296 7372 7688 7936 8649 8664 8928 9021 9312 9409 9424 10602 10944 11058 11191 11532 11552 11904 12028 12416 12996 13718 13968 14136 14592 14744 15376 16587 17298 17328 17856 18042 18259 18624 18818 18848 20577 21204 21888 22116 22382 23064 23104 23808 24056 24832 25992 27063 27436 27936 28227 28272 29488 29791 30752 33174 33573 34596 34656 35017 35712 36084 36518 37248 37636 37696 41154 42408 43776 44232 44764 46128 46208 48112 51984 54126 54777 54872 55872 56454 56544 57133 58976 59582 61504 61731 66348 67146 69192 69312 70034 71424 72168 73036 74496 75272 75392 82308 84681 84816 88464 89373 89528 92256 92416 93217 96224 100719 103968 105051 108252 109554 109744 111744 112908 113088 114266 117952 119164 123008 123462 132696 134292 138384 138624 140068 144336 146072 150544 150784 164331 164616 169362 169632 171399 176928 178746 178771 179056 184512 186434 192448 201438 207936 210102 212629 216504 219108 219488 223488 225816 226176 228532 235904 238328 246016 246924 265392 268119 268584 276768 277248 279651 280136 288672 291679 292144 301088 315153 328662 329232 338724 339264 342798 346921 353856 357492 357542 358112 369024 372868 384896 402876 415872 420204 425258 433008 438216 438976 451632 452352 457064 471808 476656 493848 514197 530784 536238 536313 537168 553536 559302 560272 566029 577344 583358 584288 602176 630306 637887 657324 658464 665323 677448 678528 685596 693842 707712 714984 715084 716224 738048 745736 769792 805752 831744 838953 840408 850516 866016 875037 876432 877952 903264 914128 923521 953312 987696 1028394 1040763 1061568 1072476 1072626 1074336 1085527 1107072 1118604 1120544 1132058 1154688 1166716 1168576 1204352 1260612 1275774 1314648 1316928 1330646 1354896 1357056 1371192 1387684 1415424 1429968 1430168 1432448 1491472 1608939 1611504 1677906 1680816 1698087 1701032 1732032 1750074 1752864 1755904 1771123 1806528 1828256 1847042 1906624 1913661 1975392 1995969 2056788 2081526 2123136 2144952 2145252 2148672 2171054 2214144 2237208 2241088 2264116 2309376 2333432 2337152 2408704 2521224 2551548 2625111 2629296 2633856 2661292 2709792 2742384 2770563 2775368 2859936 2860336 2864896 2889727 2982944 3122289 3217878 3223008 3256581 3355812 3361632 3396174 3396649 3402064 3464064 3500148 3505728 3542246 3613056 3656512 3694084 3813248 3827322 3950784 3991938 4113576 4163052 4246272 4289904 4290504 4297344 4342108 4474416 4482176 4528232 4666864 4674304 5042448 5094261 5103096 5250222 5258592 5267712 5313369 5322584 5419584 5484768 5541126 5541901 5550736 5719872 5720672 5779454 5965888 5987907 6244578 6435756 6446016 6513162 6591499 6711624 6723264 6792348 6793298 6804128 6928128 7000296 7011456 7084492 7226112 7313024 7388168 7626496 7654644 7901568 7983876 8227152 8311689 8326104 8579808 8581008 8594688 8669181 8684216 8948832 8964352 9042049 9056464 9333728 9769743 10084896 10188522 10189947 10206192 10500444 10517184 10626738 10645168 10754551 10839168 10969536 11082252 11083802 11101472 11439744 11441344 11558908 11931776 11975814 12489156 12871512 12892032 13026324 13182998 13423248 13446528 13584696 13586596 13608256 14000592 14022912 14168984 14626048 14776336 15309288 15803136 15940107 15967752 16454304 16623378 16625703 16652208 17159616 17162016 17338362 17368432 17546899 17897664 18084098 18112928 18667456 19539486 19774497 20169792 20377044 20379894 20412384 20625013 21000888 21034368 21253476 21290336 21509102 21678336 21939072 22164504 22167604 22202944 22879488 22882688 23117816 23863552 23951628 24978312 25743024 25784064 26007543 26052648 26365996 26846496 26893056 27126147 27169392 27173192 27216512 28001184 28337968 29552672 30569841 30618576 31880214 31935504 32263653 32908608 33246756 33251406 33304416 33651337 34319232 34324032 34676724 34736864 35093798 35795328 36168196 36225856 37334912 39078972 39548994 40339584 40754088 40759788 40824768 41250026 42001776 42068736 42506952 42580672 43018204 43878144 44329008 44335208 44405888 45765376 46235632 47903256 49877109 49956624 51486048 52015086 52105296 52640697 52731992 53692992 54252294 54338784 54346384 54433024 54904813 56002368 56675936 59105344 59323491 61139682 61237152 61875039 63760428 63871008 64527306 64536331 65817216 66493512 66502812 66608832 67302674 68638464 68648064 69353448 69473728 70187596 71590656 72336392 72451712 74669824 78157944 79097988 80679168 81378441 81508176 81519576 81649536 82500052 84003552 85013904 85161344 86036408 88658016 88670416 88811776 89581537 92471264 95806512 96790959 99754218 99913248 100954011 102972096 104030172 104210592 105281394 105296119 105463984 107385984 108504588 108677568 108692768 109809626 112004736 113351872 118210688 118646982 122279364 122474304 123750078 127520856 127742016 129054612 129072662 131634432 132987024 133005624 133217664 134605348 137296128 138706896 138947456 140375192 144672784 144903424 156315888 157922091 158195976 162756882 163016352 163039152 163299072 164714439 165000104 168007104 170027808 170322688 171798931 172072816 177316032 177340832 179163074 184942528 185625117 191613024 193581918 193608993 199508436 199826496 201908022 204336469 205944192 208060344 208421184 210562788 210592238 210927968 214771968 217009176 217355136 217385536 219619252 224009472 226703744 236421376 237293964 244558728 244948608 247500156 255041712 255484032 258109224 258145324 265974048 266011248 266435328 268744611 269210696 277413792 277894912 280303519 280750384 289345568 302862033 312631776 315844182 315888357 316391952 325513764 326032704 326078304 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3230528352 3264179689 3269383504 3328965504 3363642228 3369004608 3369475808 3404098406 3472146816 3513908032 3678056442 3790660284 3796703424 3836252418 3912939648 3953146536 3960002496 4000692972 4001252522 4080667392 4123174344 4129747584 4130325184 4172765788 4256179968 4299913776 4307371136 4484856304 4492006144 4646615832 4845792528 4904075256 5045463342 5053506912 5054213712 5062271232 5106147609 5115003224 5208220224 5270862048 5280003328 5325766861 5334257296 5497565792 5733218368 5754378627 5940003744 6001039458 6001878783 6184761516 6194621376 6195487776 6259148682 6334430539 6384269952 6449870664 6461056704 6528359378 6538767008 6657931008 6727284456 6738009216 6738951616 6808196812 6944293632 7027816064 7356112884 7581320568 7593406848 7672504836 7825879296 7906293072 7920004992 8001385944 8002505044 8246348688 8259495168 8260650368 8345531576 8599827552 8614742272 8689409089 8969712608 9293231664 9388723023 9691585056 9792539067 9808150512 10090926684 10107013824 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30636885654 30690019344 31625172288 31954601166 32005543776 32010020176 32338934857 32985394752 33382126304 34399310208 34757636356 35878850432 36011272698 37172926656 37554892092 38006583234 38766340224 39170156268 39232602048 39641274986 40363706736 40428055296 40433709696 40849180872 40920025792 42166896384 42606134888 42674058368 43980526336 46035029016 47520029952 47931901749 48008315664 48015030264 49478092128 49563902208 50073189456 50675444312 51598965312 52136454534 52226875024 52310136064 53818275648 54465574496 57009874851 58755234402 58848903072 59461912479 60650564544 61273771308 61380038688 62019414091 63250344576 63909202332 64011087552 64020040352 64677869714 65970789504 66764252608 68798620416 69515272712 71757700864 72022545396 74345853312 75109784184 76013166468 77532680448 78204681801 78340312536 78465204096 79282549972 80727413472 80867419392 81698361744 81840051584 85212269776 85348116736 92070058032 95863803498 96016631328 96030060528 97016804571 98956184256 100146378912 101189570359 101350888624 103197930624 104272909068 104453750048 107636551296 108931148992 114019749702 117510468804 117697806144 118923824958 121301129088 122547542616 122760077376 124038828182 126500689152 127818404664 128022175104 128040080704 129355739428 131941579008 133528505216 139030545424 144045090792 148691706624 150219568368 152026332936 156409363602 156680625072 156930408192 158565099944 161454826944 163396723488 163680103168 165098772691 170424539552 178385737437 184140116064 186058242273 191727606996 192033262656 192060121056 194033609142 197912368512 200292757824 202379140718 202701777248 206395861248 208545818136 208907500096 215273102592 217862297984 228039499404 235020937608 235395612288 237847649916 242602258176 245095085232 245520154752 248077656364 255636809328 256044350208 256080161408 258711478856 267057010432 278061090848 288090181584 291050413713 300439136736 303568711077 304052665872 312818727204 313361250144 317130199888 322909653888 326793446976 330197545382 340849079104 356771474874 368280232128 372116484546 383455213992 384066525312 384120242112 388067218284 395824737024 400585515648 404758281436 405403554496 417091636272 417815000192 435724595968 456078998808 470041875216 470791224576 475695299832 490190170464 491040309504 495296318073 496155312728 511273618656 512160322816 517422957712 556122181696 558174726819 576180363168 582100827426 600878273472 607137422154 608105331744 614439762283 625637454408 626722500288 634260399776 645819307776 653586893952 660395090764 681698158208 713542949748 736560464256 744232969092 766910427984 768133050624 768240484224 776134436568 801171031296 809516562872 810807108992 834183272544 835630000384 910706133231 912157997616 940083750432 951390599664 980380340928 990592636146 992310625456 1022547237312 1034845915424 1112244363392 1116349453638 1152360726336 1164201654852 1201756546944 1214274844308 1216210663488 1228879524566 1251274908816 1253445000576 1268520799552 1307173787904 1320790181528 1363396316416 1427085899496 1473120928512 1485888954219 1488465938184 1533820855968 1536480968448 1552268873136 1619033125744 1621614217984 1668366545088 1821412266462 1824315995232 1843319286849 1880167500864 1902781199328 1922601836821 1960760681856 1981185272292 1984621250912 2045094474624 2069691830848 2224488726784 2232698907276 2304721452672 2328403309704 2403513093888 2428549688616 2432421326976 2457759049132 2502549817632 2506890001152 2537041599104 2641580363056 2854171798992 2971777908438 2976931876368 3067641711936 3104537746272 3136876681129 3238066251488 3336733090176 3642824532924 3648631990464 3686638573698 3760335001728 3805562398656 3845203673642 3921521363712 3962370544584 3969242501824 4090188949248 4139383661696 4465397814552 4609442905344 4656806619408 4857099377232 4864842653952 4915518098264 5005099635264 5074083198208 5283160726112 5529957860547 5708343597984 5767805510463 5943555816876 5953863752736 6135283423872 6209075492544 6273753362258 6476132502976 6673466180352 7285649065848 7297263980928 7373277147396 7520670003456 7611124797312 7690407347284 7924741089168 7938485003648 8278767323392 8930795629104 9313613238816 9410630043387 9714198754464 9831036196528 10010199270528 10566321452224 11059915721094 11416687195968 11535611020926 11887111633752 11907727505472 12270566847744 12418150985088 12547506724516 12952265005952 14571298131696 14594527961856 14746554294792 15222249594624 15380814694568 15849482178336 15876970007296 17303416531389 17861591258208 18627226477632 18821260086774 19428397508928 19662072393056 20020398541056 21132642904448 22119831442188 22833374391936 23071222041852 23774223267504 23815455010944 24836301970176 25095013449032 25904530011904 28231890130161 29142596263392 29493108589584 30761629389136 31698964356672 34606833062778 35723182516416 37254452955264 37642520173548 38856795017856 39324144786112 42265285808896 44239662884376 45666748783872 46142444083704 47548446535008 47630910021888 50190026898064 56463780260322 58285192526784 58986217179168 59600656941451 61523258778272 63397928713344 69213666125556 71446365032832 74508905910528 75285040347096 77713590035712 78648289572224 88479325768752 92284888167408 95096893070016 100380053796128 112927560520644 116570385053568 117972434358336 119201313882902 123046517556544 126795857426688 138427332251112 142892730065664 150570080694192 157296579144448 176958651537504 178801970824353 184569776334816 190193786140032 200760107592256 225855121041288 233140770107136 235944868716672 238402627765804 246093035113088 276854664502224 301140161388384 353917303075008 357603941648706 369139552669632 380387572280064 401520215184512 451710242082576 471889737433344 476805255531608 492186070226176 536405912473059 553709329004448 602280322776768 707834606150016 715207883297412 738279105339264 803040430369024 903420484165152 953610511063216 1072811824946118 1107418658008896 1204560645553536 1415669212300032 1430415766594824 1476558210678528 1806840968330304 1907221022126432 2145623649892236 2214837316017792 2409121291107072 2860831533189648 3613681936660608 3814442044252864 4291247299784472 4429674632035584 5721663066379296 7227363873321216 7628884088505728 8582494599568944 11443326132758592 15257768177011456 17164989199137888 22886652265517184 34329978398275776 45773304531034368 68659956796551552 137319913593103104
- Sum of all divisors σ(n): 436348524580168200
- Sum of proper divisors (its aliquot sum) s(n): 299028610987065096
- 137319913593103104 is an abundant number, because the sum of its proper divisors (299028610987065096) is greater than itself. Its abundance is 161708697393961992
Bases of 137319913593103104
- Binary: 1111001111101101110111011110111100100110111100011000000002
- Hexadecimal: 0x1E7DBBBDE4DE300
- Base-36: 11K3UHF68CG0
Squares and roots of 137319913593103104
- 137319913593103104 squared (1373199135931031042) is 18856758669217302634391195974434816
- 137319913593103104 cubed (1373199135931031043) is 2589408471102917873940961282140134640000602015268864
-
The
square root of 137319913593103104 is 370567016.3318682415 -
The
cube root of 137319913593103104 is 515914.6264132967
Scales and comparisons
How big is 137319913593103104?- 137,319,913,593,103,104 seconds is equal to 4,366,348,493 years, 45 weeks, 5 days, 38 minutes, 24 seconds.
-
To count from 1 to 137,319,913,593,103,104 would take you about thirteen billion, ninety-nine million, forty-five thousand, four hundred eighty-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 137319913593103104 cubic inches would be around 42992.9 feet tall.
Recreational maths with 137319913593103104
- 137319913593103104 backwards is 401301395319913731
- The number of decimal digits it has is: 18
- The sum of 137319913593103104's digits is 63
- More coming soon!
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"Number 137319913593103104 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 137319913593103104 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/137319913593103104/
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The information we have on file for 137319913593103104 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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