137333981012734461696
137,333,981,012,734,461,696 is an even composite number composed of five prime numbers multiplied together.
What does the number 137333981012734461696 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
137333981012734461696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137333981012734461696:
28 × 3 × 133 × 41 × 11874
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 41 × 1187 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 137333981012734461696 from the Numbermatics database.
Names of 137333981012734461696
- Cardinal: 137333981012734461696 can be written as One hundred thirty-seven quintillion, three hundred thirty-three quadrillion, nine hundred eighty-one trillion, twelve billion, seven hundred thirty-four million, four hundred sixty-one thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.37333981012734461696 × 1020
Factors of 137333981012734461696
Divisors of 137333981012734461696
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 169 192 208 246 256 312 328 338 384 416 492 507 533 624 656 676 768 832 984 1014 1066 1187 1248 1312 1352 1599 1664 1968 2028 2132 2197 2374 2496 2624 2704 3198 3328 3561 3936 4056 4264 4394 4748 4992 5248 5408 6396 6591 6929 7122 7872 8112 8528 8788 9496 9984 10496 10816 12792 13182 13858 14244 15431 15744 16224 17056 17576 18992 20787 21632 25584 26364 27716 28488 30862 31488 32448 34112 35152 37984 41574 43264 46293 48667 51168 52728 55432 56976 61724 64896 68224 70304 75968 83148 90077 92586 97334 102336 105456 110864 113952 123448 129792 136448 140608 146001 151936 166296 180154 185172 194668 200603 204672 210912 221728 227904 246896 270231 281216 292002 303872 332592 360308 370344 389336 401206 409344 421824 443456 455808 493792 540462 562432 584004 601809 632671 665184 720616 740688 778672 802412 843648 886912 911616 987584 1080924 1168008 1203618 1265342 1330368 1408969 1441232 1481376 1557344 1604824 1687296 1773824 1898013 1975168 2161848 2336016 2407236 2530684 2607839 2660736 2817938 2882464 2962752 3114688 3209648 3796026 3950336 4226907 4323696 4672032 4814472 5061368 5215678 5321472 5635876 5764928 5925504 6229376 6419296 7592052 7823517 8224723 8453814 8647392 9344064 9628944 10122736 10431356 11271752 11529856 11851008 12458752 12838592 15184104 15647034 16449446 16907628 17294784 18316597 18688128 19257888 20245472 20862712 22543504 23059712 24674169 25677184 30368208 31294068 32898892 33815256 34589568 36633194 37376256 38515776 40490944 41725424 45087008 49348338 51354368 54949791 57767729 60736416 62588136 65797784 67630512 69179136 73266388 77031552 80981888 83450848 90174016 98696676 106921399 109899582 115535458 121472832 125176272 131595568 135261024 146532776 154063104 161963776 166901696 173303187 180348032 197393352 213842798 219799164 231070916 238115761 242945664 250352544 263191136 270522048 293065552 320764197 333803392 346606374 360696064 394786704 427685596 439598328 462141832 476231522 485891328 500705088 526382272 541044096 586131104 641528394 667606784 693212748 714347283 750980477 789573408 855371192 879196656 924283664 952463044 1001410176 1052764544 1082088192 1172262208 1283056788 1386425496 1428694566 1501960954 1579146816 1672446203 1710742384 1758393312 1848567328 1904926088 2002820352 2105529088 2252941431 2344524416 2566113576 2772850992 2857389132 3003921908 3095504893 3158293632 3344892406 3421484768 3516786624 3697134656 3809852176 4505882862 4689048832 5017338609 5132227152 5545701984 5714778264 6007843816 6191009786 6316587264 6689784812 6842969536 7033573248 7394269312 7619704352 9011765724 9286514679 9762746201 10034677218 10264454304 11091403968 11429556528 12015687632 12382019572 13379569624 13685939072 14067146496 14788538624 15239408704 18023531448 18573029358 19525492402 20069354436 20528908608 21741800639 22182807936 22859113056 24031375264 24764039144 26759139248 27371878144 29288238603 30478817408 36047062896 37146058716 39050984804 40138708872 41057817216 43483601278 44365615872 45718226112 48062750528 49528078288 53518278496 58576477206 60957634816 65225401917 68570294323 72094125792 74292117432 78101969608 80277417744 82115634432 86967202556 91436452224 96125501056 99056156576 107036556992 117152954412 126915700613 130450803834 137140588646 144188251584 148584234864 156203939216 160554835488 173934405112 182872904448 192251002112 198112313152 205710882969 214073113984 234305908824 253831401226 260901607668 274281177292 282643408307 288376503168 297168469728 312407878432 321109670976 347868810224 380747101839 396224626304 411421765938 428146227968 468611817648 507662802452 521803215336 548562354584 565286816614 576753006336 594336939456 624815756864 642219341952 695737620448 761494203678 792449252608 822843531876 847930224921 891413826199 937223635296 1015325604904 1043606430672 1097124709168 1130573633228 1188673878912 1249631513728 1284438683904 1391475240896 1522988407356 1645687063752 1695860449842 1782827652398 1874447270592 1985193642961 2030651209808 2087212861344 2194249418336 2261147266456 2377347757824 2499263027456 2674241478597 2782950481792 3045976814712 3291374127504 3391720899684 3565655304796 3674364307991 3748894541184 3970387285922 4061302419616 4174425722688 4388498836672 4522294532912 5348482957194 5565900963584 5955580928883 6091953629424 6582748255008 6783441799368 7131310609592 7348728615982 7497789082368 7940774571844 8122604839232 8348851445376 8776997673344 9044589065824 10696965914388 11023092923973 11588379740587 11911161857766 12183907258848 13165496510016 13566883598736 14262621219184 14697457231964 15881549143688 16245209678464 16697702890752 17553995346688 18089178131648 21393931828776 22046185847946 23176759481174 23822323715532 24367814517696 25807517358493 26330993020032 27133767197472 28525242438368 29394914463928 31763098287376 32490419356928 34765139221761 36178356263296 42787863657552 44092371695892 46353518962348 47644647431064 48735629035392 51615034716986 52661986040064 54267534394944 57050484876736 58789828927856 63526196574752 69530278443522 72356712526592 77422552075479 81392939361401 85575727315104 88184743391784 92707037924696 95289294862128 97471258070784 103230069433972 108535068789888 114100969753472 117579657855712 127052393149504 139060556887044 150648936627631 154845104150958 162785878722802 171151454630208 176369486783568 185414075849392 190578589724256 206460138867944 217070137579776 228201939506944 235159315711424 244178818084203 254104786299008 278121113774088 301297873255262 309690208301916 325571757445604 335497725660409 342302909260416 352738973567136 370828151698784 381157179448512 412920277735888 451946809882893 470318631422848 488357636168406 508209572598016 556242227548176 602595746510524 619380416603832 651143514891208 670995451320818 684605818520832 705477947134272 741656303397568 762314358897024 825840555471776 903893619765786 940637262845696 976715272336812 1006493176981227 1058108211698213 1112484455096352 1205191493021048 1238760833207664 1302287029782416 1341990902641636 1410955894268544 1483312606795136 1524628717794048 1651681110943552 1807787239531572 1953430544673624 2012986353962454 2116216423396426 2224968910192704 2410382986042096 2477521666415328 2604574059564832 2683981805283272 2821911788537088 2966625213590272 3174324635094639 3303362221887104 3615574479063144 3906861089347248 4025972707924908 4232432846792852 4361470433585317 4449937820385408 4820765972084192 4955043332830656 5209148119129664 5367963610566544 6348649270189278 6606724443774208 7231148958126288 7813722178694496 8051945415849816 8464865693585704 8722940867170634 8899875640770816 9641531944168384 9910086665661312 10418296238259328 10735927221133088 12697298540378556 13084411300755951 13755406752076769 14462297916252576 15627444357388992 16103890831699632 16929731387171408 17445881734341268 19283063888336768 19820173331322624 20836592476518656 21471854442266176 25394597080757112 26168822601511902 27510813504153538 28924595832505152 31254888714777984 32207781663399264 33859462774342816 34891763468682536 38566127776673536 41266220256230307 42943708884532352 50789194161514224 52337645203023804 55021627008307076 57849191665010304 62509777429555968 64415563326798528 67718925548685632 69783526937365072 82532440512460614 85887417769064704 101578388323028448 104675290406047608 110043254016614152 115698383330020608 128831126653597056 135437851097371264 139567053874730144 165064881024921228 178820287776997997 203156776646056896 209350580812095216 220086508033228304 257662253307194112 270875702194742528 279134107749460288 330129762049842456 357640575553995994 406313553292113792 418701161624190432 440173016066456608 536460863330993991 558268215498920576 660259524099684912 715281151107991988 812627106584227584 837402323248380864 880346032132913216 1072921726661987982 1116536430997841152 1320519048199369824 1430562302215983976 1674804646496761728 1760692064265826432 2145843453323975964 2641038096398739648 2861124604431967952 3349609292993523456 3521384128531652864 4291686906647951928 5282076192797479296 5722249208863935904 8583373813295903856 10564152385594958592 11444498417727871808 17166747626591807712 22888996835455743616 34333495253183615424 45777993670911487232 68666990506367230848 137333981012734461696
- Sum of all divisors σ(n): 405953270574467915040
- Sum of proper divisors (its aliquot sum) s(n): 268619289561733453344
- 137333981012734461696 is an abundant number, because the sum of its proper divisors (268619289561733453344) is greater than itself. Its abundance is 131285308548998991648
Bases of 137333981012734461696
- Binary: 11101110001111001000101000000011010101111100100011101000111000000002
- Hexadecimal: 0x771E4501ABE474700
- Base-36: SZEDD9CU6BMYO
Squares and roots of 137333981012734461696
- 137333981012734461696 squared (1373339810127344616962) is 18860622340806109641369550066686891196416
- 137333981012734461696 cubed (1373339810127344616963) is 2590204350440621658933479863827723080822640673662079164481536
-
The
square root of 137333981012734461696 is 11718958188.0274008295 -
The
cube root of 137333981012734461696 is 5159322.4303698719
Scales and comparisons
How big is 137333981012734461696?- 137,333,981,012,734,461,696 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,333,981,012,734,461,696 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 137333981012734461696 cubic inches would be around 429943.5 feet tall.
Recreational maths with 137333981012734461696
- 137333981012734461696 backwards is 696164437210189333731
- The number of decimal digits it has is: 21
- The sum of 137333981012734461696's digits is 87
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137333981012734461696 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 137333981012734461696 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137333981012734461696/
Chicago style:
Numbermatics. 2024. "Number 137333981012734461696 - Facts about the integer". https://numbermatics.com/n/137333981012734461696/
The information we have on file for 137333981012734461696 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 137333981012734461696, math, Factors of 137333981012734461696, curriculum, school, college, exams, university, Prime factorization of 137333981012734461696, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, three hundred thirty-three quadrillion, nine hundred eighty-one trillion, twelve billion, seven hundred thirty-four million, four hundred sixty-one thousand, six hundred ninety-six.