137540142608671712
137,540,142,608,671,712 is an even composite number composed of five prime numbers multiplied together.
What does the number 137540142608671712 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 600 divisors.
137540142608671712 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 137540142608671712:
25 × 7 × 134 × 73 × 1314
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 13 × 13 × 73 × 131 × 131 × 131 × 131)See below for interesting mathematical facts about the number 137540142608671712 from the Numbermatics database.
Names of 137540142608671712
- Cardinal: 137540142608671712 can be written as One hundred thirty-seven quadrillion, five hundred forty trillion, one hundred forty-two billion, six hundred eight million, six hundred seventy-one thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.37540142608671712 × 1017
Factors of 137540142608671712
Divisors of 137540142608671712
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 73 91 104 112 131 146 169 182 208 224 262 292 338 364 416 511 524 584 676 728 917 949 1022 1048 1168 1183 1352 1456 1703 1834 1898 2044 2096 2197 2336 2366 2704 2912 3406 3668 3796 4088 4192 4394 4732 5408 6643 6812 7336 7592 8176 8788 9464 9563 11921 12337 13286 13624 14672 15184 15379 16352 17161 17576 18928 19126 22139 23842 24674 26572 27248 28561 29344 30368 30758 34322 35152 37856 38252 44278 47684 49348 53144 54496 57122 61516 66941 68644 70304 76504 86359 88556 95368 98696 106288 114244 120127 123032 124319 133882 137288 153008 154973 160381 172718 177112 190736 197392 199927 212576 223093 228488 240254 246064 248638 267764 274576 287807 306016 309946 320762 345436 354224 381472 394784 399854 446186 456976 480508 492128 497276 535528 549152 575614 619892 641524 690872 708448 799708 870233 892372 913952 961016 994552 1071056 1122667 1151228 1239784 1252753 1283048 1381744 1561651 1599416 1616147 1740466 1784744 1922032 1989104 2014649 2084953 2142112 2245334 2248091 2302456 2479568 2505506 2566096 2763488 2900209 3123302 3198832 3232294 3480932 3569488 3741491 3844064 3978208 4029298 4169906 4490668 4496182 4604912 4959136 5011012 5132192 5800418 6246604 6397664 6464588 6961864 7138976 7482982 8058596 8339812 8769271 8981336 8992364 9209824 10022024 11313029 11600836 12493208 12929176 13923728 14594671 14965964 15736637 16117192 16285789 16679624 17538542 17962672 17984728 20044048 20301463 21009911 22626058 23201672 24986416 25858352 26190437 27847456 29189342 29225183 29931928 31473274 32234384 32571578 33359248 35077084 35925344 35969456 37702717 40088096 40602926 42019822 45252116 46403344 49972832 51716704 52380874 58378684 58450366 59863856 62946548 64468768 65143156 66718496 70154168 71938912 75405434 81205852 84039644 90504232 92806688 104761748 114000523 116757368 116900732 119727712 125893096 130286312 140308336 147069377 150810868 162411704 164110643 168079288 181008464 204576281 209523496 211715257 228001046 233514736 233801464 251786192 260572624 263919019 273128843 280616672 294138754 294499921 301621736 324823408 328221286 336158576 362016928 379927379 409152562 419046992 423430514 456002092 467029472 467602928 490135321 503572384 521145248 527838038 546257686 588277508 588999842 603243472 649646816 656442572 672317152 759854758 818305124 838093984 846861028 912004184 935205856 980270642 1055676076 1092515372 1148774501 1176555016 1177999684 1206486944 1312885144 1482006799 1519709516 1636610248 1693722056 1824008368 1911901901 1960541284 2061499447 2111352152 2133438359 2185030744 2297549002 2353110032 2355999368 2625770288 2659491653 2752298341 2964013598 3039419032 3273220496 3387444112 3430947247 3648016736 3823803802 3828498973 3921082568 4122998894 4222704304 4266876718 4370061488 4595098004 4706220064 4711998736 4939055927 5251540576 5318983306 5504596682 5928027196 6078838064 6546440992 6774888224 6861894494 7647607604 7656997946 7842165136 8245997788 8445408608 8533753436 8740122976 9190196008 9423997472 9878111854 10637966612 11009193364 11856054392 12157676128 13723788988 14934068513 15295215208 15313995892 15684330272 16491995576 17067506872 18380392016 19266088387 19756223708 21275933224 21498494233 22018386728 23712108784 26799492811 27447577976 27734698667 29868137026 30590430416 30627991784 32983991152 34135013744 34573391489 35779878433 36760784032 38532176774 39512447416 42551866448 42996988466 44036773456 47424217568 49770486649 53598985622 54895155952 55469397334 59736274052 61180860832 61255983568 64207727051 65967982304 68270027488 69146782978 71559756866 77064353548 79024894832 85103732896 85993976932 88073546912 99540973298 107197971244 109790311904 110938794668 119472548104 122511967136 128415454102 138293565956 143119513732 150489459631 154128707096 158049789664 171987953864 194142890669 199081946596 214395942488 221877589336 238945096208 250459149031 256830908204 276587131912 279480425029 286239027464 300978919262 308257414192 343975907728 348393406543 360551082671 388285781338 398163893192 428791884976 443755178672 449454089357 477890192416 500918298062 513661816408 553174263824 558960850058 572478054928 601957838524 616514828384 647016326437 687951815456 696786813086 721102165342 776571562676 796327786384 857583769952 887510357344 898908178714 1001836596124 1027323632816 1106348527648 1117921700116 1144956109856 1203915677048 1294032652874 1393573626172 1442204330684 1553143125352 1592655572768 1797816357428 1956362975203 2003673192248 2054647265632 2235843400232 2407831354096 2523857578697 2588065305748 2787147252344 2884408661368 3106286250704 3595632714856 3633245525377 3912725950406 4007346384496 4471686800464 4529114285059 4687164074723 4815662708192 5047715157394 5176130611496 5574294504688 5768817322736 6212572501408 7191265429712 7266491050754 7825451900812 8014692768992 8411212243681 8943373600928 9058228570118 9374328149446 10095430314788 10352261222992 11148589009376 11537634645472 14382530859424 14532982101508 15650903801624 16822424487362 18116457140236 18748656298892 20190860629576 20704522445984 25432718677639 29065964203016 31301807603248 32810148523061 33644848974724 36232914280472 37497312597784 40381721259152 47232191829901 50865437355278 58131928406032 58878485705767 62603615206496 65620297046122 67289697949448 72465828560944 74994625195568 80763442518304 94464383659802 101730874710556 116263856812064 117756971411534 131240594092244 134579395898896 144931657121888 149989250391136 188928767319604 203461749421112 235513942823068 262481188184488 269158791797792 330625342809307 377857534639208 406923498842224 471027885646136 524962376368976 614018493788713 661250685618614 755715069278416 813846997684448 942055771292272 1049924752737952 1228036987577426 1322501371237228 1511430138556832 1884111542584544 2456073975154852 2645002742474456 4298129456520991 4912147950309704 5290005484948912 8596258913041982 9824295900619408 10580010969897824 17192517826083964 19648591801238816 34385035652167928 68770071304335856 137540142608671712
- Sum of all divisors σ(n): 342459901903578480
- Sum of proper divisors (its aliquot sum) s(n): 204919759294906768
- 137540142608671712 is an abundant number, because the sum of its proper divisors (204919759294906768) is greater than itself. Its abundance is 67379616686235056
Bases of 137540142608671712
- Binary: 1111010001010010000000111111011101000101111100011111000002
- Hexadecimal: 0x1E8A407EE8BE3E0
- Base-36: 11M9WT8FYFVK
Squares and roots of 137540142608671712
- 137540142608671712 squared (1375401426086717122) is 18917290828813751770207460989010944
- 137540142608671712 cubed (1375401426086717123) is 2601886878364760905203050773003231552668552471216128
-
The
square root of 137540142608671712 is 370864048.6872132933 -
The
cube root of 137540142608671712 is 516190.2812248761
Scales and comparisons
How big is 137540142608671712?- 137,540,142,608,671,712 seconds is equal to 4,373,351,095 years, 18 weeks, 5 days, 11 hours, 28 minutes, 32 seconds.
-
To count from 1 to 137,540,142,608,671,712 would take you about thirteen billion, one hundred twenty million, fifty-three thousand, two 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 137540142608671712 cubic inches would be around 43015.9 feet tall.
Recreational maths with 137540142608671712
- 137540142608671712 backwards is 217176806241045731
- The number of decimal digits it has is: 18
- The sum of 137540142608671712's digits is 65
- More coming soon!
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The information we have on file for 137540142608671712 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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