137438623084589661200
137,438,623,084,589,661,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 137438623084589661200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 750 divisors.
137438623084589661200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty divisors.
Prime factorization of 137438623084589661200:
24 × 52 × 174 × 1814 × 3833
(2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 17 × 17 × 181 × 181 × 181 × 181 × 3833)See below for interesting mathematical facts about the number 137438623084589661200 from the Numbermatics database.
Names of 137438623084589661200
- Cardinal: 137438623084589661200 can be written as One hundred thirty-seven quintillion, four hundred thirty-eight quadrillion, six hundred twenty-three trillion, eighty-four billion, five hundred eighty-nine million, six hundred sixty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.374386230845896612 × 1020
Factors of 137438623084589661200
Divisors of 137438623084589661200
- Number of divisors d(n): 750
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 181 200 272 289 340 362 400 425 578 680 724 850 905 1156 1360 1445 1448 1700 1810 2312 2890 2896 3077 3400 3620 3833 4525 4624 4913 5780 6154 6800 7225 7240 7666 9050 9826 11560 12308 14450 14480 15332 15385 18100 19165 19652 23120 24565 24616 28900 30664 30770 32761 36200 38330 39304 49130 49232 52309 57800 61328 61540 65161 65522 72400 76660 76925 78608 83521 95825 98260 104618 115600 122825 123080 130322 131044 153320 153850 163805 167042 191650 196520 209236 245650 246160 260644 261545 262088 306640 307700 325805 327610 334084 383300 393040 417605 418472 491300 521288 523090 524176 556937 615400 651610 655220 668168 693773 766600 819025 835210 836944 889253 982600 1042576 1046180 1107737 1113874 1230800 1303220 1307725 1310440 1336336 1387546 1533200 1629025 1638050 1670420 1778506 1965200 2088025 2092360 2215474 2227748 2606440 2615450 2620880 2775092 2784685 3258050 3276100 3340840 3468865 3557012 4176050 4184720 4430948 4446265 4455496 5212880 5230900 5538685 5550184 5569370 5929741 6516100 6552200 6681680 6937730 7114024 8352100 8861896 8892530 8910992 9467929 10461800 11077370 11100368 11138740 11794141 11859482 13032200 13104400 13875460 13923425 14228048 15117301 16704200 17344325 17723792 17785060 18831529 18935858 20923600 22154740 22231325 22277480 23588282 23718964 26064400 27693425 27750920 27846850 29648705 30234602 33408400 34688650 35570120 37663058 37871716 44309480 44462650 44554960 47176564 47339645 47437928 55386850 55501840 55693700 58970705 59297410 60469204 69377300 71140240 75326116 75586505 75743432 88618960 88925300 94157645 94353128 94679290 94875856 100805597 110773700 111387400 117941410 118594820 120938408 125572913 138754600 148243525 150652232 151173010 151486864 160954793 177850600 188315290 188706256 189358580 200500397 201611194 221547400 222774800 235882820 236698225 237189640 241876816 251145826 277509200 294853525 296487050 301304464 302346020 320135993 321909586 355701200 376630580 377932525 378717160 401000794 403222388 443094800 470788225 471765640 473396450 474379280 502291652 504027985 589707050 592974100 604692040 627864565 640271986 643819172 753261160 755865050 757434320 802001588 804773965 806444776 941576450 943531280 946792900 1002501985 1004583304 1008055970 1073283121 1179414100 1185948200 1209384080 1255729130 1280543972 1287638344 1506522320 1511730100 1600679965 1604003176 1609547930 1612889552 1713695149 1883152900 1893585800 2005003970 2009166608 2016111940 2134739521 2146566242 2358828200 2371896400 2511458260 2520139925 2561087944 2575276688 2736231481 3023460200 3139322825 3201359930 3208006352 3219095860 3408506749 3427390298 3766305800 3787171600 4010007940 4023869825 4032223880 4269479042 4293132484 4717656400 5012509925 5022916520 5040279850 5122175888 5366415605 5472462962 6046920400 6278645650 6402719860 6438191720 6817013498 6854780596 7532611600 8003399825 8020015880 8047739650 8064447760 8538958084 8568475745 8586264968 10025019850 10045833040 10080559700 10673697605 10732831210 10944925924 12557291300 12805439720 12876383440 13634026996 13681157405 13709561192 16006799650 16040031760 16095479300 17042533745 17077916168 17136951490 17172529936 18245813057 20050039700 20161119400 21347395210 21465662420 21889851848 22728697253 25114582600 25610879440 26832078025 27268053992 27362314810 27419122384 29132817533 32013599300 32190958600 34085067490 34155832336 34273902980 36290571857 36491626114 40100079400 40322238800 42694790420 42842378725 42931324840 43779703696 45457394506 50229165200 53368488025 53664156050 54536107984 54724629620 57944614733 58265635066 64027198600 64381917200 68170134980 68405787025 68547805960 72581143714 72983252228 80200158800 85212668725 85389580840 85684757450 85862649680 90914789012 91229065285 106736976050 107328312100 109449259240 113643486265 115889229466 116531270132 128054397200 136340269960 136811574050 137095611920 145162287428 145664087665 145966504456 170425337450 170779161680 171369514900 181452859285 181829578024 182458130570 213473952100 214656624200 218898518480 227286972530 231778458932 233062540264 272680539920 273623148100 289723073665 290324574856 291328175330 291933008912 310178821969 340850674900 342739029800 362905718570 363659156048 364916261140 386387853301 426947904200 429313248400 454573945060 456145326425 463556917864 466125080528 495257898061 547246296200 568217431325 579446147330 580649149712 582656350660 616939721569 620357643938 681701349800 685478059600 725811437140 728320438325 729832522280 772775706602 853895808400 907264296425 909147890120 912290652850 927113835728 990515796122 1094492592400 1136434862650 1158892294660 1165312701320 1233879443138 1240715287876 1363402699600 1448615368325 1451622874280 1456640876650 1459665044560 1545551413204 1550894109845 1814528592850 1818295780240 1824581305700 1931939266505 1981031592244 2272869725300 2317784589320 2330625402640 2467758886276 2476289490305 2481430575752 2897230736650 2903245748560 2913281753300 3084698607845 3091102826408 3101788219690 3629057185700 3649162611400 3863878533010 3962063184488 4113894202793 4545739450600 4635569178640 4935517772552 4952578980610 4962861151504 5273039973473 5794461473300 5826563506600 6169397215690 6182205652816 6203576439380 6568593506117 7258114371400 7298325222800 7727757066020 7754470549225 7924126368976 8227788405586 9091478901200 9659696332525 9871035545104 9905157961220 10487975266673 10546079946946 11588922946600 11653127013200 12338794431380 12381447451525 12407152878760 13137187012234 14516228742800 15423493039225 15455514132040 15508941098450 16455576811172 19319392665050 19810315922440 20569471013965 20975950533346 21092159893892 23177845893200 24677588862760 24762894903050 24814305757520 26274374024468 26365199867365 30846986078450 30911028264080 31017882196900 32842967530585 32911153622344 38638785330100 39620631844880 41138942027930 41951901066692 42184319787784 49355177725520 49525789806100 52439876333365 52548748048936 52730399734730 61693972156900 62035764393800 65685935061170 65822307244688 69936201447481 77277570660200 82277884055860 83903802133384 84368639575568 89641679549041 99051579612200 102847355069825 104879752666730 105097496097872 105460799469460 111666089603989 123387944313800 124071528787600 131371870122340 131825999336825 139872402894962 154555141320400 164214837652925 164555768111720 167807604266768 179283359098082 198103159224400 205694710139650 209759505333460 210921598938920 223332179207978 246775888627600 262199381666825 262743740244680 263651998673650 279744805789924 328429675305850 329111536223440 349681007237405 358566718196164 411389420279300 419519010666920 421843197877840 446664358415956 448208397745205 524398763333650 525487480489360 527303997347300 558330448019945 559489611579848 656859350611700 699362014474810 717133436392328 822778840558600 839038021333840 893328716831912 896416795490410 1048797526667300 1054607994694600 1116660896039890 1118979223159696 1188915424607177 1313718701223400 1398724028949620 1434266872784656 1645557681117200 1748405036187025 1786657433663824 1792833590980820 1898323523267813 2097595053334600 2109215989389200 2233321792079780 2241041988726025 2377830849214354 2627437402446800 2791652240099725 2797448057899240 3496810072374050 3585667181961640 3796647046535626 4195190106669200 4466643584159560 4482083977452050 4755661698428708 5583304480199450 5594896115798480 5944577123035885 6993620144748100 7171334363923280 7593294093071252 8933287168319120 8964167954904100 9491617616339065 9511323396857416 11166608960398900 11889154246071770 13987240289496200 15186588186142504 17928335909808200 18983235232678130 19022646793714832 20211562218322009 22333217920797800 23778308492143540 27974480578992400 29722885615179425 30373176372285008 35856671819616400 37966470465356260 40423124436644018 44666435841595600 47458088081695325 47556616984287080 59445771230358850 75932940930712520 80846248873288036 94916176163390650 95113233968574160 101057811091610045 118891542460717700 151865881861425040 161692497746576072 189832352326781300 202115622183220090 237783084921435400 323384995493152144 343596557711474153 379664704653562600 404231244366440180 475566169842870800 505289055458050225 687193115422948306 759329409307125200 808462488732880360 1010578110916100450 1374386230845896612 1616924977465760720 1717982788557370765 2021156221832200900 2748772461691793224 3435965577114741530 4042312443664401800 5497544923383586448 6871931154229483060 8084624887328803600 8589913942786853825 13743862308458966120 17179827885573707650 27487724616917932240 34359655771147415300 68719311542294830600 137438623084589661200
- Sum of all divisors σ(n): 352874425268703653370
- Sum of proper divisors (its aliquot sum) s(n): 215435802184113992170
- 137438623084589661200 is an abundant number, because the sum of its proper divisors (215435802184113992170) is greater than itself. Its abundance is 77997179099524330970
Bases of 137438623084589661200
- Binary: 11101110011010110000001001110000011101011111100010010111100000100002
- Hexadecimal: 0x773581383AFC4BC10
- Base-36: T06ZPS10AOF0W
Squares and roots of 137438623084589661200
- 137438623084589661200 squared (1374386230845896612002) is 18889375115387902117884465981930785440000
- 137438623084589661200 cubed (1374386230845896612003) is 2596129706787225219231198224377519470336499582219492928000000
-
The
square root of 137438623084589661200 is 11723421986.9707693295 -
The
cube root of 137438623084589661200 is 5160632.4851741209
Scales and comparisons
How big is 137438623084589661200?- 137,438,623,084,589,661,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,438,623,084,589,661,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137438623084589661200 cubic inches would be around 430052.7 feet tall.
Recreational maths with 137438623084589661200
- 137438623084589661200 backwards is 002166985480326834731
- The number of decimal digits it has is: 21
- The sum of 137438623084589661200's digits is 86
- More coming soon!
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The information we have on file for 137438623084589661200 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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