138520732911964934400
138,520,732,911,964,934,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138520732911964934400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 729 divisors.
138520732911964934400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 138520732911964934400:
28 × 32 × 52 × 192 × 25810272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 19 × 2581027 × 2581027)See below for interesting mathematical facts about the number 138520732911964934400 from the Numbermatics database.
Names of 138520732911964934400
- Cardinal: 138520732911964934400 can be written as One hundred thirty-eight quintillion, five hundred twenty quadrillion, seven hundred thirty-two trillion, nine hundred eleven billion, nine hundred sixty-four million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.385207329119649344 × 1020
Factors of 138520732911964934400
Divisors of 138520732911964934400
- Number of divisors d(n): 729
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 128 144 150 152 160 171 180 190 192 200 225 228 240 256 285 288 300 304 320 342 360 361 380 384 400 450 456 475 480 570 576 600 608 640 684 720 722 760 768 800 855 900 912 950 960 1083 1140 1152 1200 1216 1280 1368 1425 1440 1444 1520 1600 1710 1800 1805 1824 1900 1920 2166 2280 2304 2400 2432 2736 2850 2880 2888 3040 3200 3249 3420 3600 3610 3648 3800 3840 4275 4332 4560 4800 4864 5415 5472 5700 5760 5776 6080 6400 6498 6840 7200 7220 7296 7600 8550 8664 9025 9120 9600 10830 10944 11400 11520 11552 12160 12996 13680 14400 14440 14592 15200 16245 17100 17328 18050 18240 19200 21660 21888 22800 23104 24320 25992 27075 27360 28800 28880 30400 32490 34200 34656 36100 36480 43320 43776 45600 46208 51984 54150 54720 57600 57760 60800 64980 68400 69312 72200 72960 81225 86640 91200 92416 103968 108300 109440 115520 121600 129960 136800 138624 144400 162450 173280 182400 207936 216600 218880 231040 259920 273600 277248 288800 324900 346560 364800 415872 433200 462080 519840 547200 577600 649800 693120 831744 866400 1039680 1094400 1155200 1299600 1386240 1732800 2079360 2310400 2581027 2599200 3465600 4158720 5162054 5198400 6931200 7743081 10324108 10396800 12905135 15486162 20648216 20793600 23229243 25810270 30972324 38715405 41296432 46458486 49039513 51620540 61944648 64525675 77430810 82592864 92916972 98079026 103241080 116146215 123889296 129051350 147118539 154861620 165185728 185833944 193577025 196158052 206482160 232292430 245197565 247778592 258102700 294237078 309723240 330371456 371667888 387154050 392316104 412964320 441355617 464584860 490395130 495557184 516205400 580731075 588474156 619446480 660742912 735592695 743335776 774308100 784632208 825928640 882711234 929169720 931750747 980790260 991114368 1032410800 1161462150 1176948312 1225987825 1238892960 1471185390 1486671552 1548616200 1569264416 1651857280 1765422468 1858339440 1863501494 1961580520 1982228736 2064821600 2206778085 2322924300 2353896624 2451975650 2477785920 2795252241 2942370780 2973343104 3097232400 3138528832 3303714560 3530844936 3677963475 3716678880 3727002988 3923161040 4129643200 4413556170 4645848600 4658753735 4707793248 4903951300 4955571840 5590504482 5884741560 5946686208 6194464800 6277057664 7061689872 7355926950 7433357760 7454005976 7846322080 8259286400 8385756723 8827112340 9291697200 9317507470 9415586496 9807902600 9911143680 11033890425 11181008964 11769483120 12388929600 12554115328 13976261205 14123379744 14711853900 14866715520 14908011952 15692644160 16518572800 16771513446 17654224680 18583394400 18635014940 18831172992 19615805200 22067780850 22362017928 23293768675 23538966240 24777859200 27952522410 28246759488 29423707800 29733431040 29816023904 31385288320 33543026892 35308449360 37166788800 37270029880 37662345984 39231610400 41928783615 44135561700 44724035856 46587537350 47077932480 49555718400 55905044820 56493518976 58847415600 59632047808 62770576640 67086053784 69881306025 70616898720 74333577600 74540059760 78463220800 83857567230 88271123400 89448071712 93175074700 94155864960 111810089640 112987037952 117694831200 119264095616 134172107568 139762612050 141233797440 148667155200 149080119520 156926441600 167715134460 176542246800 178896143424 186350149400 188311729920 209643918075 223620179280 235389662400 238528191232 268344215136 279525224100 282467594880 298160239040 313852883200 335430268920 353084493600 357792286848 372700298800 419287836150 447240358560 470779324800 536688430272 559050448200 564935189760 596320478080 670860537840 706168987200 715584573696 745400597600 838575672300 894480717120 941558649600 1073376860544 1118100896400 1192640956160 1341721075680 1412337974400 1490801195200 1677151344600 1788961434240 2146753721088 2236201792800 2683442151360 2824675948800 2981602390400 3354302689200 3577922868480 4472403585600 5366884302720 5963204780800 6661700374729 6708605378400 8944807171200 10733768605440 13323400749458 13417210756800 17889614342400 19985101124187 26646801498916 26834421513600 33308501873645 39970202248374 53293602997832 53668843027200 59955303372561 66617003747290 79940404496748 99925505620935 106587205995664 119910606745122 126572307119851 133234007494580 159880808993496 166542509368225 199851011241870 213174411991328 239821213490244 253144614239702 266468014989160 299776516862805 319761617986992 333085018736450 379716921359553 399702022483740 426348823982656 479642426980488 499627528104675 506289228479404 532936029978320 599553033725610 632861535599255 639523235973984 666170037472900 759433842719106 799404044967480 852697647965312 959284853960976 999255056209350 1012578456958808 1065872059956640 1139150764078659 1199106067451220 1265723071198510 1279046471947968 1332340074945800 1498882584314025 1518867685438212 1598808089934960 1705395295930624 1898584606797765 1918569707921952 1998510112418700 2025156913917616 2131744119913280 2278301528157318 2398212134902440 2404873835277169 2531446142397020 2558092943895936 2664680149891600 2997765168628050 3037735370876424 3164307677996275 3197616179869920 3797169213595530 3837139415843904 3997020224837400 4050313827835232 4263488239826560 4556603056314636 4796424269804880 4809747670554338 5062892284794040 5116185887791872 5329360299783200 5695753820393295 5995530337256100 6075470741752848 6328615355992550 6395232359739840 7214621505831507 7594338427191060 7674278831687808 7994040449674800 8100627655670464 8526976479653120 9113206112629272 9492923033988825 9592848539609760 9619495341108676 10125784569588080 10658720599566400 11391507640786590 11991060674512200 12024369176385845 12150941483505696 12657230711985100 12790464719479680 14429243011663014 15188676854382120 15348557663375616 15988080899349600 16201255311340928 18226412225258544 18985846067977650 19185697079219520 19238990682217352 20251569139176160 21317441199132800 21643864517494521 22783015281573180 23982121349024400 24048738352771690 24301882967011392 25314461423970200 25580929438959360 28478769101966475 28858486023326028 30377353708764240 31976161798699200 32402510622681856 36073107529157535 36452824450517088 37971692135955300 38371394158439040 38477981364434704 40503138278352320 42634882398265600 43287729034989042 45566030563146360 47964242698048800 48097476705543380 48603765934022784 50628922847940400 56957538203932950 57716972046652056 60121845881929225 60754707417528480 63952323597398400 72146215058315070 72905648901034176 75943384271910600 76742788316878080 76955962728869408 81006276556704640 86575458069978084 91132061126292720 95928485396097600 96194953411086760 97207531868045568 101257845695880800 108219322587472605 113915076407865900 115433944093304112 120243691763858450 121509414835056960 127904647194796800 144292430116630140 145811297802068352 151886768543821200 153911925457738816 162012553113409280 173150916139956168 180365537645787675 182264122252585440 191856970792195200 192389906822173520 202515691391761600 216438645174945210 227830152815731800 230867888186608224 240487383527716900 243018829670113920 288584860233260280 291622595604136704 303773537087642400 307823850915477632 346301832279912336 360731075291575350 364528244505170880 383713941584390400 384779813644347040 405031382783523200 432877290349890420 455660305631463600 461735776373216448 480974767055433800 486037659340227840 541096612937363025 577169720466520560 607547074175284800 615647701830955264 692603664559824672 721462150583150700 729056489010341760 769559627288694080 810062765567046400 865754580699780840 911320611262927200 923471552746432896 961949534110867600 1082193225874726050 1154339440933041120 1215094148350569600 1385207329119649344 1442924301166301400 1458112978020683520 1539119254577388160 1731509161399561680 1822641222525854400 1846943105492865792 1923899068221735200 2164386451749452100 2308678881866082240 2430188296701139200 2770414658239298688 2885848602332602800 3078238509154776320 3463018322799123360 3645282445051708800 3847798136443470400 4328772903498904200 4617357763732164480 5540829316478597376 5771697204665205600 6926036645598246720 7290564890103417600 7695596272886940800 8657545806997808400 9234715527464328960 11543394409330411200 13852073291196493440 15391192545773881600 17315091613995616800 23086788818660822400 27704146582392986880 34630183227991233600 46173577637321644800 69260366455982467200 138520732911964934400
- Sum of all divisors σ(n): 522680364894192293061
- Sum of proper divisors (its aliquot sum) s(n): 384159631982227358661
- 138520732911964934400 is an abundant number, because the sum of its proper divisors (384159631982227358661) is greater than itself. Its abundance is 245638899070262424261
Bases of 138520732911964934400
- Binary: 11110000010010111001000000010101011010011000110111001010001000000002
- Hexadecimal: 0x7825C80AB4C6E5100
- Base-36: T8EYLP4YM4HS0
Squares and roots of 138520732911964934400
- 138520732911964934400 squared (1385207329119649344002) is 19187993446467925374520003175196303360000
- 138520732911964934400 cubed (1385207329119649344003) is 2657934915314717022075636464348746312276948020824899584000000
-
138520732911964934400 is a
perfect square number . Itssquare root is 11769483120 -
The
cube root of 138520732911964934400 is 5174141.0093708439
Scales and comparisons
How big is 138520732911964934400?- 138,520,732,911,964,934,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,520,732,911,964,934,400 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 138520732911964934400 cubic inches would be around 431178.4 feet tall.
Recreational maths with 138520732911964934400
- 138520732911964934400 backwards is 004439469119237025831
- The number of decimal digits it has is: 21
- The sum of 138520732911964934400's digits is 81
- More coming soon!
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The information we have on file for 138520732911964934400 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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