137664985005421056
137,664,985,005,421,056 is an even composite number composed of five prime numbers multiplied together.
What does the number 137664985005421056 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
137664985005421056 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137664985005421056:
29 × 33 × 792 × 1913 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 79 × 79 × 191 × 191 × 191 × 229)See below for interesting mathematical facts about the number 137664985005421056 from the Numbermatics database.
Names of 137664985005421056
- Cardinal: 137664985005421056 can be written as One hundred thirty-seven quadrillion, six hundred sixty-four trillion, nine hundred eighty-five billion, five million, four hundred twenty-one thousand and fifty-six.
Scientific notation
- Scientific notation: 1.37664985005421056 × 1017
Factors of 137664985005421056
Divisors of 137664985005421056
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 191 192 216 229 237 256 288 316 382 384 432 458 474 512 573 576 632 687 711 764 768 864 916 948 1146 1152 1264 1374 1422 1528 1536 1719 1728 1832 1896 2061 2133 2292 2304 2528 2748 2844 3056 3438 3456 3664 3792 4122 4266 4584 4608 5056 5157 5496 5688 6112 6183 6241 6876 6912 7328 7584 8244 8532 9168 10112 10314 10992 11376 12224 12366 12482 13752 13824 14656 15089 15168 16488 17064 18091 18336 18723 20224 20628 21984 22752 24448 24732 24964 27504 29312 30178 30336 32976 34128 36182 36481 36672 37446 40448 41256 43739 43968 45267 45504 48896 49464 49928 54273 55008 56169 58624 60356 60672 65952 68256 72364 72962 73344 74892 82512 87478 87936 90534 91008 97792 98928 99856 108546 109443 110016 112338 117248 120712 121344 131217 131904 135801 136512 144728 145924 146688 149784 162819 165024 168507 174956 175872 181068 182016 197856 199712 217092 218886 220032 224676 241424 262434 263808 271602 273024 289456 291848 293376 299568 325638 328329 330048 337014 349912 351744 362136 364032 393651 395712 399424 407403 434184 437772 440064 449352 482848 488457 524868 527616 543204 546048 578912 583696 599136 651276 656658 660096 674028 699824 724272 787302 791424 798848 814806 868368 875544 880128 898704 965696 976914 984987 1049736 1055232 1086408 1092096 1157824 1167392 1180953 1192031 1198272 1302552 1313316 1320192 1348056 1399648 1429189 1448544 1574604 1582848 1597696 1629612 1736736 1751088 1797408 1931392 1953828 1969974 2099472 2172816 2315648 2334784 2361906 2384062 2396544 2605104 2626632 2640384 2696112 2799296 2858378 2881999 2897088 3149208 3165696 3195392 3259224 3455381 3473472 3502176 3576093 3594816 3862784 3907656 3939948 4198944 4287567 4345632 4631296 4669568 4723812 4768124 4793088 5210208 5253264 5392224 5598592 5716756 5763998 5794176 6298416 6518448 6910762 6946944 6967871 7004352 7152186 7189632 7725568 7815312 7879896 8354149 8397888 8575134 8645997 8691264 9262592 9339136 9447624 9536248 9586176 10366143 10420416 10506528 10728279 10784448 11197184 11433512 11527996 11588352 12596832 12862701 13036896 13821524 13893888 13935742 14008704 14304372 14379264 15630624 15759792 16708298 16795776 17150268 17291994 17382528 18678272 18895248 19072496 20732286 20840832 20903613 21013056 21456558 21568896 22394368 22867024 23055992 23176704 25062447 25193664 25725402 25937991 26073792 27643048 27787776 27871484 28017408 28608744 28758528 31098429 31261248 31519584 32184837 33416596 33591552 34300536 34583988 34765056 37790496 38144992 38588103 41464572 41681664 41807226 42026112 42913116 43137792 45734048 46111984 50124894 50387328 51450804 51875982 52147584 55286096 55742968 56034816 57217488 62196858 62522496 62710839 63039168 64369674 66833192 67183104 68601072 69167976 69530112 75187341 75580992 76289984 77176206 77813973 82929144 83363328 83614452 84052224 85826232 86275584 91468096 92223968 93295287 100249788 100774656 102901608 103751964 104295168 110572192 111485936 114434976 124393716 125044992 125421678 126078336 128739348 133666384 137202144 138335952 150374682 151161984 152579968 154352412 155627946 165858288 167228904 168104448 171652464 182936192 184447936 186590574 188132517 200499576 201549312 205803216 207503928 208590336 221144384 222971872 225562023 227677921 228869952 248787432 250089984 250843356 252156672 257478696 267332768 272975099 274404288 276671904 300749364 302323968 305159936 308704824 311255892 331716576 334457808 343304928 365872384 368895872 373181148 376265034 400999152 411606432 415007856 442288768 445943744 451124046 455355842 457739904 497574864 501686712 504313344 514957392 534665536 545950198 548808576 550461809 553343808 601498728 604647936 610319872 617409648 622511784 659977771 663433152 668915616 683033763 686609856 731744768 737791744 746362296 752530068 801998304 818925297 823212864 830015712 884577536 891887488 902248092 910711684 915479808 995149728 1003373424 1029914784 1069331072 1091900396 1097617152 1100923618 1106687616 1202997456 1234819296 1245023568 1319955542 1326866304 1337831232 1366067526 1373219712 1475583488 1492724592 1505060136 1595642459 1603996608 1637850594 1646425728 1651385427 1660031424 1769155072 1783774976 1804496184 1821423368 1830959616 1979933313 1990299456 2006746848 2049101289 2059829568 2138662144 2183800792 2195234304 2201847236 2213375232 2405994912 2456775891 2469638592 2490047136 2639911084 2653732608 2675662464 2732135052 2746439424 2985449184 3010120272 3191284918 3207993216 3275701188 3292851456 3302770854 3320062848 3567549952 3608992368 3642846736 3959866626 3980598912 4013493696 4098202578 4119659136 4277324288 4367601584 4403694472 4426750464 4786927377 4811989824 4913551782 4939277184 4954156281 4980094272 5279822168 5307465216 5351324928 5464270104 5492878848 5939799939 5970898368 6020240544 6147303867 6382569836 6415986432 6551402376 6585702912 6605541708 6640125696 7217984736 7285693472 7370327673 7919733252 7961197824 8026987392 8196405156 8239318272 8735203168 8807388944 9573854754 9623979648 9827103564 9878554368 9908312562 9960188544 10559644336 10702649856 10928540208 11879599878 11941796736 12040481088 12294607734 12765139672 12831972864 13102804752 13211083416 13280251392 14360782131 14435969472 14571386944 14740655346 14862468843 15839466504 15922395648 16053974784 16392810312 16478636544 17470406336 17614777888 17819399817 19147709508 19247959296 19654207128 19757108736 19816625124 19920377088 21119288672 21857080416 23759199756 23883593472 24080962176 24589215468 25530279344 26205609504 26422166832 28721564262 28871938944 29142773888 29481310692 29724937686 31678933008 32107949568 32785620624 34940812672 35229555776 35638799634 38295419016 38495918592 39308414256 39633250248 39840754176 42238577344 43082346393 43486482911 43714160832 47518399512 47767186944 48161924352 49178430936 51060558688 52138243909 52411219008 52844333664 57443128524 57743877888 58285547776 58962621384 59449875372 63357866016 65571241248 69881625344 70459111552 71277599268 76590838032 78616828512 79266500496 84477154688 86164692786 86972965822 87428321664 95036799024 96323848704 98356861872 102121117376 104276487818 104822438016 105688667328 114886257048 115487755776 116571095552 117925242768 118899750744 126055754261 126715732032 130459448733 131142482496 139763250688 140918223104 142555198536 153181676064 156414731727 157233657024 158533000992 168954309376 172329385572 173945931644 174856643328 190073598048 196713723744 204242234752 208552975636 209644876032 211377334656 229772514096 235850485536 237799501488 252111508522 253431464064 260918897466 262284964992 281836446208 285110397072 306363352128 312829463454 314467314048 317066001984 337908618752 344658771144 347891863288 349713286656 378167262783 380147196096 391378346199 393427447488 408484469504 417105951272 419289752064 422754669312 459545028192 469244195181 471700971072 475599002976 504223017044 506862928128 521837794932 524569929984 570220794144 612726704256 625658926908 628934628096 634132003968 689317542288 695783726576 756334525566 760294392192 782756692398 786854894976 816968939008 834211902544 845509338624 919090056384 938488390362 943401942144 951198005952 1008446034088 1013725856256 1043675589864 1049139859968 1134501788349 1140441588288 1174135038597 1225453408512 1251317853816 1257869256192 1268264007936 1378635084576 1391567453152 1407732585543 1512669051132 1520588784384 1565513384796 1573709789952 1668423805088 1838180112768 1876976780724 1886803884288 1902396011904 2016892068176 2087351179728 2269003576698 2280883176576 2348270077194 2450906817024 2502635707632 2536528015872 2757270169152 2783134906304 2815465171086 3025338102264 3041177568768 3131026769592 3147419579904 3336847610176 3403505365047 3676360225536 3753953561448 3773607768576 3804792023808 4033784136352 4174702359456 4538007153396 4561766353152 4696540154388 5005271415264 5514540338304 5566269812608 5630930342172 6050676204528 6262053539184 6673695220352 6807010730094 7352720451072 7507907122896 7609584047616 8067568272704 8349404718912 9076014306792 9123532706304 9393080308776 9958404586619 10010542830528 11029080676608 11132539625216 11261860684344 12101352409056 12524107078368 13347390440704 13614021460188 15015814245792 16135136545408 16698809437824 18152028613584 18786160617552 19916809173238 20021085661056 22058161353216 22265079250432 22523721368688 24202704818112 25048214156736 26694780881408 27228042920376 29875213759857 30031628491584 32270273090816 33397618875648 36304057227168 37572321235104 39833618346476 40042171322112 45047442737376 48405409636224 50096428313472 54456085840752 59750427519714 60063256983168 64540546181632 66795237751296 72608114454336 75144642470208 79667236692952 80084342644224 89625641279571 90094885474752 96810819272448 100192856626944 108912171681504 119500855039428 120126513966336 145216228908672 150289284940416 159334473385904 179251282559142 180189770949504 193621638544896 200385713253888 217824343363008 239001710078856 240253027932672 268876923838713 290432457817344 300578569880832 318668946771808 358502565118284 360379541899008 435648686726016 478003420157712 537753847677426 580864915634688 601157139761664 637337893543616 717005130236568 720759083798016 871297373452032 956006840315424 1075507695354852 1274675787087232 1434010260473136 1742594746904064 1912013680630848 2151015390709704 2549351574174464 2868020520946272 3824027361261696 4302030781419408 5098703148348928 5736041041892544 7648054722523392 8604061562838816 11472082083785088 15296109445046784 17208123125677632 22944164167570176 34416246251355264 45888328335140352 68832492502710528 137664985005421056
- Sum of all divisors σ(n): 416705391048038400
- Sum of proper divisors (its aliquot sum) s(n): 279040406042617344
- 137664985005421056 is an abundant number, because the sum of its proper divisors (279040406042617344) is greater than itself. Its abundance is 141375421037196288
Bases of 137664985005421056
- Binary: 1111010010001010110010011000100010100000111110010000000002
- Hexadecimal: 0x1E915931141F200
- Base-36: 11NI5X1FN9C0
Squares and roots of 137664985005421056
- 137664985005421056 squared (1376649850054210562) is 18951648096542804185877707848155136
- 137664985005421056 cubed (1376649850054210563) is 2608978351038581635730443810639336538509448488943616
-
The
square root of 137664985005421056 is 371032323.3970607257 -
The
cube root of 137664985005421056 is 516346.4124769241
Scales and comparisons
How big is 137664985005421056?- 137,664,985,005,421,056 seconds is equal to 4,377,320,697 years, 21 weeks, 4 days, 57 minutes, 36 seconds.
-
To count from 1 to 137,664,985,005,421,056 would take you about thirteen billion, one hundred thirty-one million, nine hundred sixty-two thousand and ninety-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 137664985005421056 cubic inches would be around 43028.9 feet tall.
Recreational maths with 137664985005421056
- 137664985005421056 backwards is 650124500589466731
- 137664985005421056 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137664985005421056's digits is 72
- More coming soon!
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The information we have on file for 137664985005421056 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 137664985005421056, math, Factors of 137664985005421056, curriculum, school, college, exams, university, Prime factorization of 137664985005421056, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, six hundred sixty-four trillion, nine hundred eighty-five billion, five million, four hundred twenty-one thousand and fifty-six.