137239839990349824
137,239,839,990,349,824 is an even composite number composed of six prime numbers multiplied together.
137239839990349824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 137239839990349824:
219 × 3 × 7 × 134 × 607 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 13 × 607 × 719)See below for interesting mathematical facts about the number 137239839990349824 from the Numbermatics database.
Names of 137239839990349824
- Cardinal: 137239839990349824 can be written as One hundred thirty-seven quadrillion, two hundred thirty-nine trillion, eight hundred thirty-nine billion, nine hundred ninety million, three hundred forty-nine thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37239839990349824 × 1017
Factors of 137239839990349824
Divisors of 137239839990349824
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 169 182 192 208 224 256 273 312 336 338 364 384 416 448 507 512 546 607 624 672 676 719 728 768 832 896 1014 1024 1092 1183 1214 1248 1344 1352 1438 1456 1536 1664 1792 1821 2028 2048 2157 2184 2197 2366 2428 2496 2688 2704 2876 2912 3072 3328 3549 3584 3642 4056 4096 4249 4314 4368 4394 4732 4856 4992 5033 5376 5408 5752 5824 6144 6591 6656 7098 7168 7284 7891 8112 8192 8498 8628 8736 8788 9347 9464 9712 9984 10066 10752 10816 11504 11648 12288 12747 13182 13312 14196 14336 14568 15099 15379 15782 16224 16384 16996 17256 17472 17576 18694 18928 19424 19968 20132 21504 21632 23008 23296 23673 24576 25494 26364 26624 28041 28392 28561 28672 29136 30198 30758 31564 32448 32768 33992 34512 34944 35152 37388 37856 38848 39936 40264 43008 43264 46016 46137 46592 47346 49152 50988 52728 53248 55237 56082 56784 57122 57344 58272 60396 61516 63128 64896 65429 65536 67984 69024 69888 70304 74776 75712 77696 79872 80528 85683 86016 86528 92032 92274 93184 94692 98304 101976 102583 105456 106496 110474 112164 113568 114244 114688 116544 120792 121511 123032 126256 129792 130858 131072 135968 138048 139776 140608 149552 151424 155392 159744 161056 165711 171366 172032 173056 184064 184548 186368 189384 196287 196608 199927 203952 205166 210912 212992 220948 224328 227136 228488 229376 233088 241584 243022 246064 252512 259584 261716 262144 271936 276096 279552 281216 299104 302848 307749 310784 319488 322112 331422 342732 344064 346112 364533 368128 369096 372736 378768 392574 393216 399854 407904 410332 421824 425984 436433 441896 448656 454272 456976 458752 466176 483168 486044 492128 505024 519168 523432 524288 543872 552192 559104 562432 598208 599781 605696 615498 621568 638976 644224 662844 685464 688128 692224 718081 729066 736256 738192 745472 757536 785148 786432 799708 815808 820664 843648 850577 851968 872866 883792 897312 908544 913952 917504 932352 966336 972088 984256 1010048 1038336 1046864 1087744 1104384 1118208 1124864 1196416 1199562 1211392 1230996 1243136 1277952 1288448 1309299 1325688 1333579 1370928 1376256 1384448 1436162 1458132 1472512 1476384 1490944 1515072 1570296 1572864 1579643 1599416 1631616 1641328 1687296 1701154 1703936 1745732 1767584 1794624 1817088 1827904 1835008 1864704 1932672 1944176 1968512 2020096 2076672 2093728 2154243 2175488 2208768 2236416 2249728 2392832 2399124 2422784 2461992 2486272 2551731 2555904 2576896 2618598 2651376 2667158 2741856 2752512 2768896 2872324 2916264 2945024 2952768 2981888 3030144 3055031 3140592 3159286 3198832 3263232 3282656 3374592 3402308 3407872 3491464 3535168 3589248 3634176 3655808 3670016 3729408 3865344 3888352 3937024 4000737 4040192 4153344 4187456 4308486 4350976 4417536 4472832 4499456 4738929 4785664 4798248 4845568 4923984 4972544 5103462 5111808 5153792 5237196 5302752 5334316 5483712 5505024 5537792 5673629 5744648 5832528 5890048 5905536 5963776 6060288 6110062 6281184 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28713984 29073408 29246464 29835264 30922752 31106816 31496192 32005896 32321536 33172503 33226752 33499648 34041774 34467888 34673054 34807808 35340288 35782656 35995648 36660372 37340212 37911432 38285312 38385984 38764544 39391872 39715403 39780352 40827696 41070718 41230336 41897568 42422016 42674528 43869696 44230004 44302336 45389032 45957184 46660224 47120384 47244288 47710208 48482304 48880496 50249472 50548576 51181312 52009581 52211712 52522496 53993472 54436928 55863424 56010318 56562688 57427968 58146816 58492928 59670528 61606077 61845504 62213632 62992384 64011792 64643072 66345006 66453504 66999296 68083548 68935776 69346108 69615616 70680576 71565312 71991296 73320744 73757177 74680424 75822864 76570624 76771968 77529088 78783744 79430806 79560704 81655392 82141436 82460672 83795136 84844032 85349056 87739392 88460008 88604672 90778064 91914368 93320448 94240768 94488576 96964608 97760992 100498944 101097152 102362624 104019162 104423424 105044992 107986944 108873856 111726848 112020636 113125376 114855936 116293632 116985856 119146209 119341056 121355689 123212154 123691008 124427264 125984768 128023584 129286144 132690012 132907008 133998592 136167096 137871552 138692216 139231232 141361152 143130624 143747513 143982592 146641488 147514354 149360848 151645728 153141248 153543936 155058176 157567488 158861612 159121408 163310784 164282872 164921344 167590272 169688064 170698112 175478784 176920016 181556128 183828736 186640896 188481536 188977152 193929216 195521984 200997888 202194304 204725248 208038324 208846848 210089984 215973888 217747712 221271531 223453696 224041272 226250752 229711872 232587264 233971712 238292418 238682112 242711378 246424308 247382016 248854528 251969536 256047168 258572288 265380024 265814016 267997184 272334192 275743104 277384432 278462464 282722304 287495026 287965184 293282976 295028708 298721696 303291456 306282496 307087872 310116352 315134976 317723224 318242816 326621568 328565744 329842688 335180544 339376128 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3275603968 3328613184 3341549568 3361439744 3449940312 3455582208 3483963392 3540344496 3575259136 3584660352 3620012032 3675389952 3743547392 3812678688 3835373204 3883382048 3942788928 3958112256 3981672448 4031512576 4096754688 4130401912 4137156608 4246080384 4287954944 4357347072 4411889664 4438150912 4599920416 4692527616 4720459328 4779547136 4852663296 4900519936 4913405952 5042159616 5083571584 5225945088 5257051904 5362888704 5430018048 5462339584 5615321088 5661440512 5753059806 5809796096 5825073072 5882519552 5972508672 6047268864 6195602868 6205734912 6256703488 6431932416 6470217728 6551207936 6657226368 6683099136 6711903107 6722879488 6899880624 6967926784 7080688992 7150518272 7169320704 7240024064 7350779904 7487094784 7625357376 7670746408 7766764096 7885577856 7916224512 7963344896 8063025152 8193509376 8260803824 8492160768 8575909888 8714694144 8823779328 8876301824 9199840832 9385055232 9440918656 9559094272 9705326592 9826811904 10084319232 10167143168 10451890176 10514103808 10725777408 10860036096 10924679168 11230642176 11322881024 11506119612 11619592192 11650146144 11765039104 11945017344 12094537728 12391205736 12411469824 12464962913 12513406976 12863864832 12940435456 13102415872 13314452736 13423806214 13445758976 13799761248 13935853568 14161377984 14301036544 14338641408 14480048128 14701559808 14974189568 15250714752 15341492816 15533528192 15771155712 15926689792 16387018752 16521607648 16984321536 17151819776 17429388288 17647558656 17752603648 18399681664 18770110464 18881837312 19118188544 19410653184 19653623808 20135709321 20168638464 20334286336 20903780352 21028207616 21451554816 21720072192 21849358336 22461284352 22645762048 23012239224 23239184384 23300292288 23530078208 23890034688 24189075456 24782411472 24929925826 25026813952 25727729664 25880870912 26204831744 26628905472 26847612428 26891517952 27599522496 27871707136 28322755968 28602073088 28677282816 28960096256 30501429504 30682985632 31067056384 31542311424 31853379584 32774037504 33043215296 33968643072 34303639552 34858776576 35295117312 35505207296 36799363328 37394888739 37540220928 37763674624 38236377088 38821306368 39307247616 40271418642 40337276928 40668572672 41807560704 42056415232 42903109632 43440144384 43698716672 44922568704 45291524096 46024478448 46478368768 46600584576 47060156416 47780069376 49564822944 49859851652 50053627904 51455459328 51761741824 52409663488 53257810944 53695224856 53783035904 55199044992 55743414272 56645511936 57204146176 57354565632 61002859008 61365971264 62134112768 63084622848 63706759168 65548075008 66086430592 67937286144 69717553152 70590234624 71010414592 73598726656 74789777478 75080441856 75527349248 76472754176 77642612736 78614495232 80542837284 80674553856 81337145344 83615121408 84112830464 85806219264 86880288768 87254740391 87397433344 90583048192 92048956896 92956737536 93201169152 94120312832 95560138752 99129645888 99719703304 100107255808 102910918656 103523483648 104819326976 106515621888 107390449712 110398089984 111486828544 113291023872 114408292352 114709131264 122005718016 122731942528 124268225536 126169245696 131096150016 132172861184 135874572288 139435106304 141180469248 142020829184 147197453312 149579554956 150160883712 151054698496 152945508352 155285225472 157228990464 161085674568 161349107712 162674290688 167230242816 168225660928 171612438528 174509480782 174794866688 181166096384 184097913792 185913475072 186402338304 188240625664 191120277504 198259291776 199439406608 200214511616 207046967296 213031243776 214780899424 220796179968 222973657088 226582047744 228816584704 229418262528 244011436032 245463885056 248536451072 252338491392 261764221173 262192300032 264345722368 271749144576 278870212608 282360938496 284041658368 294394906624 299159109912 300321767424 302109396992 305891016704 310570450944 314457980928 322171349136 325348581376 334460485632 336451321856 343224877056 349018961564 349589733376 362332192768 368195827584 371826950144 372804676608 376481251328 396518583552 398878813216 400429023232 414093934592 426062487552 429561798848 441592359936 445947314176 453164095488 458836525056 488022872064 490927770112 497072902144 504676982784 523528442346 524384600064 528691444736 543498289152 557740425216 564721876992 568083316736 588789813248 598318219824 600643534848 604218793984 611782033408 621140901888 644342698272 650697162752 668920971264 672902643712 686449754112 698037923128 699179466752 724664385536 736391655168 743653900288 745609353216 793037167104 797757626432 800858046464 828187869184 852124975104 859123597696 883184719872 906328190976 917673050112 976045744128 981855540224 994145804288 1009353965568 1047056884692 1048769200128 1057382889472 1086996578304 1115480850432 1129443753984 1136166633472 1177579626496 1196636439648 1201287069696 1208437587968 1223564066816 1242281803776 1288685396544 1301394325504 1337841942528 1345805287424 1396075846256 1449328771072 1472783310336 1487307800576 1491218706432 1586074334208 1595515252864 1601716092928 1704249950208 1718247195392 1766369439744 1812656381952 1835346100224 1952091488256 1963711080448 1988291608576 2018707931136 2094113769384 2097538400256 2114765778944 2173993156608 2230961700864 2272333266944 2355159252992 2393272879296 2402574139392 2416875175936 2447128133632 2484563607552 2577370793088 2602788651008 2691610574848 2792151692512 2898657542144 2945566620672 2974615601152 2982437412864 3172148668416 3191030505728 3408499900416 3436494390784 3532738879488 3625312763904 3670692200448 3904182976512 3927422160896 3976583217152 4037415862272 4188227538768 4229531557888 4347986313216 4461923401728 4544666533888 4710318505984 4786545758592 4805148278784 4833750351872 4894256267264 5154741586176 5205577302016 5383221149696 5584303385024 5797315084288 5891133241344 5964874825728 6344297336832 6382061011456 6816999800832 6872988781568 7065477758976 7250625527808 7341384400896 7808365953024 7854844321792 7953166434304 8074831724544 8376455077536 8459063115776 8695972626432 8923846803456 9089333067776 9420637011968 9573091517184 9667500703744 10309483172352 10411154604032 10766442299392 11168606770048 11782266482688 11929749651456 12688594673664 12764122022912 13633999601664 13745977563136 14130955517952 14501251055616 14682768801792 15616731906048 15709688643584 15906332868608 16149663449088 16752910155072 16918126231552 17391945252864 18841274023936 19146183034368 19335001407488 20618966344704 20822309208064 22337213540096 23564532965376 23859499302912 25377189347328 25528244045824 27267999203328 27491955126272 28261911035904 29002502111232 31233463812096 31419377287168 31812665737216 32299326898176 33505820310144 33836252463104 37682548047872 38292366068736 38670002814976 41237932689408 44674427080192 47129065930752 47718998605824 50754378694656 51056488091648 54983910252544 56523822071808 58005004222464 62466927624192 62838754574336 63625331474432 67011640620288 67672504926208 75365096095744 76584732137472 82475865378816 89348854160384 94258131861504 95437997211648 101508757389312 102112976183296 109967820505088 113047644143616 116010008444928 125677509148672 134023281240576 135345009852416 153169464274944 164951730757632 178697708320768 188516263723008 190875994423296 203017514778624 204225952366592 219935641010176 226095288287232 251355018297344 268046562481152 270690019704832 306338928549888 329903461515264 357395416641536 377032527446016 406035029557248 408451904733184 439871282020352 502710036594688 536093124962304 612677857099776 659806923030528 714790833283072 754065054892032 812070059114496 816903809466368 879742564040704 1072186249924608 1225355714199552 1319613846061056 1429581666566144 1508130109784064 1633807618932736 1759485128081408 2144372499849216 2450711428399104 2639227692122112 2859163333132288 3267615237865472 3518970256162816 4288744999698432 4901422856798208 5278455384244224 5718326666264576 6535230475730944 8577489999396864 9802845713596416 10556910768488448 11436653332529152 17154979998793728 19605691427192832 22873306665058304 34309959997587456 45746613330116608 68619919995174912 137239839990349824
- Sum of all divisors σ(n): 454485360789504000
- Sum of proper divisors (its aliquot sum) s(n): 317245520799154176
- 137239839990349824 is an abundant number, because the sum of its proper divisors (317245520799154176) is greater than itself. Its abundance is 180005680808804352
Bases of 137239839990349824
- Binary: 1111001111001001011101000010001111010100000000000000000002
- Hexadecimal: 0x1E792E847A80000
- Base-36: 11JBGO46LATC
Squares and roots of 137239839990349824
- 137239839990349824 squared (1372398399903498242) is 18834773680576822779669445896830976
- 137239839990349824 cubed (1372398399903498243) is 2584881326176815385052455886425120278556943239348224
-
The
square root of 137239839990349824 is 370458958.5775323425 -
The
cube root of 137239839990349824 is 515814.3273522283
Scales and comparisons
How big is 137239839990349824?- 137,239,839,990,349,824 seconds is equal to 4,363,802,400 years, 51 weeks, 5 days, 9 hours, 10 minutes, 24 seconds.
-
To count from 1 to 137,239,839,990,349,824 would take you about thirteen billion, ninety-one million, four hundred seven thousand, two hundred two 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 137239839990349824 cubic inches would be around 42984.5 feet tall.
Recreational maths with 137239839990349824
- 137239839990349824 backwards is 428943099938932731
- The number of decimal digits it has is: 18
- The sum of 137239839990349824's digits is 93
- More coming soon!
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"Number 137239839990349824 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 137239839990349824 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137239839990349824/
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Numbermatics. 2024. "Number 137239839990349824 - Facts about the integer". https://numbermatics.com/n/137239839990349824/
The information we have on file for 137239839990349824 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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