137996905181184
137,996,905,181,184 is an even composite number composed of five prime numbers multiplied together.
What does the number 137996905181184 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 936 divisors.
137996905181184 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 137996905181184:
212 × 35 × 7 × 19 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 1021 × 1021)See below for interesting mathematical facts about the number 137996905181184 from the Numbermatics database.
Names of 137996905181184
- Cardinal: 137996905181184 can be written as One hundred thirty-seven trillion, nine hundred ninety-six billion, nine hundred five million, one hundred eighty-one thousand, one hundred eighty-four.
Scientific notation
- Scientific notation: 1.37996905181184 × 1014
Factors of 137996905181184
Divisors of 137996905181184
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 128 133 144 152 162 168 171 189 192 216 224 228 243 252 256 266 288 304 324 336 342 378 384 399 432 448 456 486 504 512 513 532 567 576 608 648 672 684 756 768 798 864 896 912 972 1008 1021 1024 1026 1064 1134 1152 1197 1216 1296 1344 1368 1512 1536 1539 1596 1701 1728 1792 1824 1944 2016 2042 2048 2052 2128 2268 2304 2394 2432 2592 2688 2736 3024 3063 3072 3078 3192 3402 3456 3584 3591 3648 3888 4032 4084 4096 4104 4256 4536 4608 4617 4788 4864 5184 5376 5472 6048 6126 6144 6156 6384 6804 6912 7147 7168 7182 7296 7776 8064 8168 8208 8512 9072 9189 9216 9234 9576 9728 10368 10752 10773 10944 12096 12252 12288 12312 12768 13608 13824 14294 14336 14364 14592 15552 16128 16336 16416 17024 18144 18378 18432 18468 19152 19399 19456 20736 21441 21504 21546 21888 24192 24504 24624 25536 27216 27567 27648 28588 28672 28728 29184 31104 32256 32319 32672 32832 34048 36288 36756 36864 36936 38304 38798 38912 41472 42882 43008 43092 43776 48384 49008 49248 51072 54432 55134 55296 57176 57456 58197 58368 62208 64323 64512 64638 65344 65664 68096 72576 73512 73872 76608 77596 77824 82701 82944 85764 86016 86184 87552 96768 98016 98496 102144 108864 110268 110592 114352 114912 116394 116736 124416 128646 129024 129276 130688 131328 135793 136192 145152 147024 147744 153216 155192 165402 165888 171528 172368 174591 175104 192969 193536 196032 196992 204288 217728 220536 228704 229824 232788 233472 248103 248832 257292 258048 258552 261376 262656 271586 272384 290304 294048 295488 306432 310384 330804 331776 343056 344736 349182 350208 385938 387072 392064 393984 407379 408576 435456 441072 457408 459648 465576 496206 497664 514584 517104 522752 523773 525312 543172 544768 578907 580608 588096 590976 612864 620768 661608 686112 689472 698364 700416 771876 774144 784128 787968 814758 817152 870912 882144 914816 919296 931152 992412 995328 1029168 1034208 1042441 1045504 1047546 1050624 1086344 1157814 1161216 1176192 1181952 1222137 1225728 1241536 1323216 1372224 1378944 1396728 1543752 1568256 1571319 1575936 1629516 1634304 1736721 1741824 1764288 1829632 1838592 1862304 1984824 2058336 2068416 2084882 2091008 2095092 2101248 2172688 2315628 2322432 2352384 2363904 2444274 2451456 2483072 2646432 2744448 2757888 2793456 3087504 3127323 3136512 3142638 3151872 3259032 3473442 3483648 3528576 3659264 3666411 3677184 3724608 3969648 4116672 4136832 4169764 4182016 4190184 4345376 4631256 4704768 4713957 4727808 4888548 4902912 4966144 5292864 5488896 5515776 5586912 6175008 6254646 6273024 6285276 6303744 6518064 6946884 6967296 7057152 7297087 7318528 7332822 7354368 7449216 7939296 8233344 8273664 8339528 8380368 8690752 9262512 9381969 9409536 9427914 9455616 9777096 9932288 10585728 10977792 10999233 11031552 11173824 12350016 12509292 12546048 12570552 13036128 13893768 14114304 14594174 14637056 14665644 14708736 14898432 15878592 16466688 16547328 16679056 16760736 17381504 18525024 18763938 18819072 18855828 18911232 19554192 19806379 19864576 21171456 21891261 21955584 21998466 22063104 22347648 24700032 25018584 25141104 26072256 27787536 28145907 28228608 29188348 29274112 29331288 29796864 31757184 32933376 32997699 33094656 33358112 33521472 34763008 37050048 37527876 37638144 37711656 39108384 39612758 39729152 42342912 43782522 43911168 43996932 44126208 44695296 49400064 50037168 50282208 52144512 55575072 56291814 56457216 58376696 58662576 59419137 59593728 63514368 65673783 65866752 65995398 66189312 66716224 67042944 69526016 74100096 75055752 75423312 78216768 79225516 79458304 84437721 84685824 87565044 87822336 87993864 89390592 98800128 100074336 100564416 104289024 111150144 112583628 112914432 116753392 117325152 118838274 119187456 127028736 131347566 131733504 131990796 132378624 133432448 134085888 138644653 139052032 148200192 150111504 150846624 156433536 158451032 168875442 169371648 175130088 175987728 178257411 178781184 197021349 197600256 200148672 201128832 208578048 222300288 225167256 233506784 234650304 237676548 238374912 253313163 254057472 262695132 263467008 263981592 266864896 268171776 277289306 278104064 296400384 300223008 301693248 312867072 316902064 337750884 338743296 350260176 351975456 356514822 357562368 394042698 395200512 400297344 402257664 415933959 417156096 444600576 450334512 467013568 469300608 475353096 506626326 508114944 525390264 527963184 533729792 534772233 536343552 554578612 556208128 591064047 592800768 600446016 603386496 625734144 633804128 675501768 700520352 703950912 713029644 715124736 788085396 790401024 800594688 804515328 831867918 834312192 889201152 900669024 934027136 938601216 950706192 1013252652 1016229888 1050780528 1055926368 1067459584 1069544466 1072687104 1109157224 1182128094 1185601536 1200892032 1206772992 1247801877 1251468288 1267608256 1351003536 1401040704 1407901824 1426059288 1576170792 1601189376 1604316699 1609030656 1663735836 1668624384 1773192141 1778402304 1801338048 1868054272 1877202432 1901412384 2026505304 2101561056 2111852736 2134919168 2139088932 2145374208 2218314448 2364256188 2371203072 2401784064 2413545984 2495603754 2502936576 2535216512 2702007072 2802081408 2815803648 2852118576 3152341584 3202378752 3208633398 3218061312 3327471672 3546384282 3556804608 3602676096 3736108544 3743405631 3754404864 3802824768 4053010608 4203122112 4223705472 4269838336 4278177864 4436628896 4728512376 4803568128 4812950097 4827091968 4991207508 5005873152 5070433024 5404014144 5604162816 5631607296 5704237152 6304683168 6404757504 6417266796 6436122624 6654943344 7092768564 7113609216 7205352192 7472217088 7486811262 7508809728 7605649536 8106021216 8406244224 8447410944 8556355728 8873257792 9457024752 9607136256 9625900194 9654183936 9982415016 10140866048 10808028288 11208325632 11230216893 11263214592 11408474304 12609366336 12809515008 12834533592 13309886688 14185537128 14410704384 14944434176 14973622524 15017619456 15211299072 16212042432 16812488448 16894821888 17112711456 17746515584 18914049504 19214272512 19251800388 19308367872 19964830032 20281732096 21616056576 22416651264 22460433786 22526429184 22816948608 25218732672 25669067184 26619773376 28371074256 28821408768 29888868352 29947245048 30422598144 32424084864 33624976896 33690650679 33789643776 34225422912 35493031168 37828099008 38428545024 38503600776 39929660064 40563464192 43232113152 44833302528 44920867572 45052858368 45633897216 50437465344 51338134368 53239546752 56742148512 57642817536 59894490096 60845196288 64848169728 67249953792 67381301358 67579287552 68450845824 70986062336 75656198016 77007201552 79859320128 81126928384 86464226304 89666605056 89841735144 91267794432 100874930688 102676268736 106479093504 113484297024 115285635072 119788980192 121690392576 129696339456 134499907584 134762602716 135158575104 136901691648 141972124672 151312396032 154014403104 159718640256 172928452608 179683470288 182535588864 201749861376 205352537472 212958187008 226968594048 239577960384 243380785152 259392678912 268999815168 269525205432 273803383296 283944249344 302624792064 308028806208 319437280512 345856905216 359366940576 365071177728 403499722752 410705074944 425916374016 453937188096 479155920768 518785357824 539050410864 547606766592 567888498688 605249584128 616057612416 638874561024 718733881152 730142355456 806999445504 821410149888 851832748032 907874376192 958311841536 1037570715648 1078100821728 1095213533184 1210499168256 1232115224832 1277749122048 1437467762304 1642820299776 1703665496064 1815748752384 1916623683072 2156201643456 2190427066368 2420998336512 2464230449664 2555498244096 2874935524608 3285640599552 3631497504768 3833247366144 4312403286912 4928460899328 5110996488192 5749871049216 6571281199104 7262995009536 7666494732288 8624806573824 9856921798656 11499742098432 15332989464576 17249613147648 19713843597312 22999484196864 34499226295296 45998968393728 68998452590592 137996905181184
- Sum of all divisors σ(n): 497777596417920
- Sum of proper divisors (its aliquot sum) s(n): 359780691236736
- 137996905181184 is an abundant number, because the sum of its proper divisors (359780691236736) is greater than itself. Its abundance is 221783786055552
Bases of 137996905181184
- Binary: 111110110000001111010001000001101110000000000002
- Hexadecimal: 0x7D81E8837000
- Base-36: 1CWYWIDC00
Squares and roots of 137996905181184
- 137996905181184 squared (1379969051811842) is 19043145839584687503867641856
- 137996905181184 cubed (1379969051811843) is 2627895190776626696725222126477210502037504
-
The
square root of 137996905181184 is 11747208.3994957713 -
The
cube root of 137996905181184 is 51676.1062178947
Scales and comparisons
How big is 137996905181184?- 137,996,905,181,184 seconds is equal to 4,387,874 years, 38 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 137,996,905,181,184 would take you about ten million, nine hundred sixty-nine thousand, six hundred eighty-six 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 137996905181184 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137996905181184
- 137996905181184 backwards is 481181509699731
- 137996905181184 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137996905181184's digits is 72
- More coming soon!
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The information we have on file for 137996905181184 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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