137139213769671456
137,139,213,769,671,456 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137139213769671456 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
137139213769671456 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137139213769671456:
25 × 32 × 7 × 61 × 67 × 149 × 233 × 479429
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 61 × 67 × 149 × 233 × 479429)See below for interesting mathematical facts about the number 137139213769671456 from the Numbermatics database.
Names of 137139213769671456
- Cardinal: 137139213769671456 can be written as One hundred thirty-seven quadrillion, one hundred thirty-nine trillion, two hundred thirteen billion, seven hundred sixty-nine million, six hundred seventy-one thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.37139213769671456 × 1017
Factors of 137139213769671456
Divisors of 137139213769671456
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 67 72 84 96 112 122 126 134 144 149 168 183 201 224 233 244 252 268 288 298 336 366 402 427 447 466 469 488 504 536 549 596 603 672 699 732 804 854 894 932 938 976 1008 1043 1072 1098 1192 1206 1281 1341 1398 1407 1464 1608 1631 1708 1788 1864 1876 1952 2016 2086 2097 2144 2196 2384 2412 2562 2682 2796 2814 2928 3129 3216 3262 3416 3576 3728 3752 3843 4087 4172 4194 4221 4392 4768 4824 4893 5124 5364 5592 5628 5856 6258 6432 6524 6832 7152 7456 7504 7686 8174 8344 8388 8442 8784 9089 9387 9648 9786 9983 10248 10728 11184 11256 12261 12516 13048 13664 14213 14304 14679 15008 15372 15611 16348 16688 16776 16884 17568 18178 18774 19296 19572 19966 20496 21456 22368 22512 24522 25032 26096 27267 28426 28609 29358 29949 30744 31222 32696 33376 33552 33768 34717 36356 36783 37548 39144 39932 40992 42639 42912 45024 46833 49044 50064 52192 54534 56852 57218 58716 59898 61488 62444 63623 65392 67104 67536 69434 69881 72712 73566 75096 78288 79864 81801 85278 85827 89847 93666 98088 99491 100128 104151 109068 109277 113704 114436 117432 119796 122976 124888 127246 127917 130784 135072 138868 139762 140499 145424 147132 150192 156576 159728 163602 170556 171654 179694 187332 190869 196176 198982 208302 209643 218136 218554 227408 228872 234864 239592 243019 249776 254492 255834 257481 277736 279524 280998 290848 294264 298473 300384 312453 319456 327204 327831 341112 343308 359388 374664 381738 392352 397964 416604 419286 436272 437108 454816 457744 469728 479184 479429 486038 499552 508984 511668 514962 555472 559048 561996 572607 588528 596946 608963 624906 628929 654408 655662 682224 686616 718776 729057 749328 763476 795928 833208 838572 872544 874216 895419 915488 952271 958368 958858 972076 983493 1017968 1023336 1029924 1110944 1118096 1123992 1145214 1177056 1193892 1217926 1249812 1257858 1308816 1311324 1364448 1373232 1437552 1438287 1458114 1498656 1526952 1591856 1666416 1677144 1748432 1790838 1826889 1904542 1917716 1944152 1966986 2035936 2046672 2059848 2117737 2187171 2236192 2247984 2290428 2326039 2387784 2435852 2499624 2515716 2617632 2622648 2746464 2856813 2875104 2876574 2916228 3053904 3183712 3332832 3354288 3356003 3496864 3581676 3653778 3809084 3835432 3888304 3933972 4093344 4119696 4235474 4262741 4314861 4374342 4495968 4580856 4652078 4775568 4871704 4999248 5031432 5245296 5480667 5713626 5753148 5832456 6107808 6353211 6665897 6708576 6712006 6978117 7163352 7307556 7618168 7670864 7776608 7867944 8239392 8470948 8525482 8570439 8629722 8748684 9161712 9304156 9551136 9743408 9998496 10062864 10068009 10490592 10961334 11427252 11506296 11664912 12706422 12788223 13331794 13424012 13956234 14326704 14615112 14824159 15236336 15341728 15735888 16282273 16941896 17050964 17140878 17259444 17497368 18323424 18608312 19059633 19486816 19997691 20125728 20136018 20934351 21922668 22854504 23012592 23329824 25412844 25576446 26663588 26848024 27912468 28653408 29230224 29245169 29648318 30204027 30472672 31471776 32121743 32564546 33883792 34101928 34281756 34518888 34994736 37216624 38119266 38364669 39995382 40272036 41868702 43845336 44472477 45709008 46025184 48846819 50825688 51152892 53327176 53696048 55824936 58460448 58490338 59296636 59993073 60408054 64243486 65129092 67767584 68203856 68563512 69037776 69989472 71434921 74433248 76238532 76729338 79990764 80544072 83737404 87690672 87735507 88944954 91418016 96365229 97693638 101651376 102305784 106654352 107392096 111649872 111706957 116980676 118593272 119986146 120816108 128486972 130258184 133417431 136407712 137127024 138075552 141888379 142869842 146540457 152477064 153458676 159981528 161088144 167474808 175381344 175471014 177889908 192730458 195387276 203302752 204611568 204716183 213308704 214304763 223299744 223413914 224852201 233961352 237186544 239972292 241632216 256973944 260516368 263206521 266834862 274254048 283776758 285739684 289095687 293080914 304954128 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2807536224 2979655959 3000266682 3083687328 3127794796 3275458928 3405321096 3428876208 3574622624 3597635216 3684891294 3918852646 3972874612 4000355576 4021450452 4047339618 4211304336 4269357792 4357530181 4500400023 4540428128 4625530992 4689294624 4691692194 4786139707 4913188392 5107981644 5143314312 5361933936 5396452824 5878278969 5959311918 6000533364 6255589592 6550917856 6810642192 6814124377 6857752416 7037538291 7195270432 7369782588 7484366119 7837705292 7945749224 8000711152 8042900904 8094679236 8422608672 8715060362 8938967877 9000800046 9251061984 9383384388 9572279414 9826376784 10215963288 10286628624 10723867872 10792905648 11756557938 11918623836 12001066728 12511179184 13072590543 13621284384 13628248754 13715984261 14075076582 14358419121 14739565176 14968732238 15675410584 15891498448 16001422304 16085801808 16189358472 16644336593 17430120724 17634836907 17877935754 18001600092 18766768776 19144558828 19652753568 20431926576 20442373131 20573257248 21585811296 22453098357 23513115876 23837247672 24002133456 25022358368 26145181086 27256497508 27431968522 28150153164 28716838242 29479130352 29937464476 30502711267 31350821168 31782996896 32171603616 32378716944 33288673186 33502977949 34860241448 35269673814 35755871508 36003200184 37533537552 38289117656 39217771629 40863853152 40884746262 41147952783 43075257363 44906196714 47026231752 47674495344 47698870639 48004266912 49933009779 52290362172 52390562833 54512995016 54863937044 56300306328 57433676484 58958260704 59874928952 61005422534 61327119393 62701642336 64757433888 66577346372 67005955898 67359295071 69720482896 70539347628 71511743016 72006400368 75067075104 76578235312 78435543258 81769492524 82295905566 86150514726 89812393428 91508133801 94052463504 95348990688 95397741278 99866019558 100508933847 104580724344 104781125666 109025990032 109727874088 112600612656 114867352968 116510356151 119749857904 122010845068 122654238786 123443858349 133154692744 134011911796 134718590142 139440965792 141078695256 143023486032 143096611917 144012800736 149799029337 153156470624 156871086516 157171688499 163538985048 164591811132 172301029452 179624786856 183016267602 188104927008 190795482556 199732039116 201017867694 209161448688 209562251332 218051980064 219455748176 225201225312 229734705936 233020712302 239499715808 244021690136 245308477572 246887716698 266309385488 268023823592 269437180284 274524401403 282157390512 286046972064 286193223834 291954522127 299598058674 301526801541 313742173032 314343376998 327077970096 329183622264 344602058904 349531068453 359249573712 366032535204 381590965112 399464078232 402035735388 418322897376 419124502664 429289835751 438911496352 456546333259 459469411872 466041424604 471515065497 488043380272 490616955144 493775433396 532618770976 536047647184 538874360568 549048802806 564314781024 572386447668 583909044254 599196117348 603053603082 627484346064 628686753996 654155940192 658367244528 689204117808 699062136906 718499147424 732065070408 763181930224 798928156464 804071470776 838249005328 858579671502 875863566381 913092666518 932082849208 943030130994 976086760544 981233910288 987550866792 1015304532173 1048593205359 1072095294368 1077748721136 1098097605612 1115170551731 1144772895336 1167818088508 1198392234696 1206107206164 1254968692128 1257373507992 1316734489056 1369638999777 1378408235616 1398124273812 1464130140816 1526363860448 1597856312928 1608142941552 1676498010656 1717159343004 1751727132762 1826185333036 1864165698416 1886060261988 1962467820576 1975101733584 2030609064346 2043681654889 2097186410718 2155497442272 2196195211224 2230341103462 2289545790672 2335636177016 2396784469392 2412214412328 2514747015984 2627590699143 2739277999554 2796248547624 2928260281632 3045913596519 3195824332813 3216285883104 3345511655193 3434318686008 3503454265524 3652370666072 3728331396832 3772120523976 3950203467168 4061218128692 4087363309778 4108916999331 4194372821436 4392390422448 4460682206924 4579091581344 4671272354032 4793568938784 4824428824656 5029494031968 5255181398286 5478555999108 5592497095248 6091827193038 6131044964667 6391648665626 6691023310386 6868637372016 7006908531048 7107131725211 7304741332144 7544241047952 7806193862117 8122436257384 8174726619556 8217833998662 8388745642872 8784780844896 8921364413848 9137740789557 9342544708064 9587472998439 9648857649312 10036534965579 10510362796572 10957111998216 11184994190496 12183654386076 12262089929334 12783297331252 13382046620772 13737274744032 14013817062096 14214263450422 14609482664288 15088482095904 15612387724234 16244872514768 16349453239112 16435667997324 16777491285744 17842728827696 18275481579114 18393134894001 19174945996878 20073069931158 21020725593144 21321395175633 21914223996432 23418581586351 24367308772152 24524179858668 25566594662504 26764093241544 28027634124192 28428526900844 28762418995317 31224775448468 32489745029536 32698906478224 32871335994648 33554982571488 35685457655392 36550963158228 36786269788002 38349891993756 40146139862316 42041451186288 42642790351266 43828447992864 46837163172702 48734617544304 49048359717336 51133189325008 53528186483088 56857053801688 57524837990634 62449550896936 63964185526899 65397812956448 65742671989296 68025403655591 70255744759053 73101926316456 73572539576004 76699783987512 80292279724632 84082902372576 85285580702532 93674326345404 97469235088608 98096719434672 102266378650016 107056372966176 113714107603376 115049675981268 124899101793872 127928371053798 131485343978592 136050807311182 140511489518106 146203852632912 147145079152008 153399567975024 160584559449264 170571161405064 187348652690808 196193438869344 204076210966773 227428215206752 230099351962536 249798203587744 255856742107596 272101614622364 281022979036212 292407705265824 294290158304016 306799135950048 321169118898528 341142322810128 374697305381616 408152421933546 460198703925072 476177825589137 511713484215192 544203229244728 562045958072424 588580316608032 612228632900319 682284645620256 749394610763232 816304843867092 920397407850144 952355651178274 1023426968430384 1088406458489456 1124091916144848 1224457265800638 1428533476767411 1632609687734184 1904711302356548 2046853936860768 2176812916978912 2248183832289696 2448914531601276 2857066953534822 3265219375468368 3809422604713096 4285600430302233 4897829063202552 5714133907069644 6530438750936736 7618845209426192 8571200860604466 9795658126405104 11428267814139288 15237690418852384 17142401721208932 19591316252810208 22856535628278576 34284803442417864 45713071256557152 68569606884835728 137139213769671456
- Sum of all divisors σ(n): 464843554733376000
- Sum of proper divisors (its aliquot sum) s(n): 327704340963704544
- 137139213769671456 is an abundant number, because the sum of its proper divisors (327704340963704544) is greater than itself. Its abundance is 190565127194033088
Bases of 137139213769671456
- Binary: 1111001110011011101100011011010011000010010000011001000002
- Hexadecimal: 0x1E7376369848320
- Base-36: 11IBSL2GW3S0
Squares and roots of 137139213769671456
- 137139213769671456 squared (1371392137696714562) is 18807163953363645081202406181159936
- 137139213769671456 cubed (1371392137696714563) is 2579199677801596252463531884506903246327135709986816
-
The
square root of 137139213769671456 is 370323120.7603320249 -
The
cube root of 137139213769671456 is 515688.2290384979
Scales and comparisons
How big is 137139213769671456?- 137,139,213,769,671,456 seconds is equal to 4,360,602,798 years, 22 weeks, 4 days, 10 hours, 57 minutes, 36 seconds.
-
To count from 1 to 137,139,213,769,671,456 would take you about thirteen billion, eighty-one million, eight hundred eight thousand, three hundred ninety-five 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 137139213769671456 cubic inches would be around 42974 feet tall.
Recreational maths with 137139213769671456
- 137139213769671456 backwards is 654176967312931731
- The number of decimal digits it has is: 18
- The sum of 137139213769671456's digits is 81
- More coming soon!
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"Number 137139213769671456 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137139213769671456 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137139213769671456/
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The information we have on file for 137139213769671456 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 137139213769671456, math, Factors of 137139213769671456, curriculum, school, college, exams, university, Prime factorization of 137139213769671456, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred thirty-nine trillion, two hundred thirteen billion, seven hundred sixty-nine million, six hundred seventy-one thousand, four hundred fifty-six.