137942120193104552
137,942,120,193,104,552 is an even composite number composed of six prime numbers multiplied together.
What does the number 137942120193104552 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
137942120193104552 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137942120193104552:
23 × 133 × 312 × 67 × 792 × 19531
(2 × 2 × 2 × 13 × 13 × 13 × 31 × 31 × 67 × 79 × 79 × 19531)See below for interesting mathematical facts about the number 137942120193104552 from the Numbermatics database.
Names of 137942120193104552
- Cardinal: 137942120193104552 can be written as One hundred thirty-seven quadrillion, nine hundred forty-two trillion, one hundred twenty billion, one hundred ninety-three million, one hundred four thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.37942120193104552 × 1017
Factors of 137942120193104552
Divisors of 137942120193104552
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 8 13 26 31 52 62 67 79 104 124 134 158 169 248 268 316 338 403 536 632 676 806 871 961 1027 1352 1612 1742 1922 2054 2077 2197 2449 3224 3484 3844 4108 4154 4394 4898 5239 5293 6241 6968 7688 8216 8308 8788 9796 10478 10586 11323 12482 12493 13351 16616 17576 19531 19592 20956 21172 22646 24964 24986 26702 27001 31837 39062 41912 42344 45292 49928 49972 53404 54002 63674 64387 68107 68809 75919 78124 81133 90584 99944 106808 108004 127348 128774 136214 137618 147199 151838 156248 162266 162409 164083 173563 193471 216008 253903 254696 257548 272428 275236 294398 303676 324532 324818 328166 347126 351013 386942 413881 418147 507806 515096 544856 550472 588796 605461 607352 649064 649636 656332 694252 702026 773884 827762 836294 837031 894517 986947 1015612 1054729 1177592 1210922 1299272 1308577 1312664 1388504 1404052 1542949 1547768 1655524 1672588 1674062 1789034 1973894 2031224 2109458 2111317 2133079 2421844 2515123 2617154 2808104 3085898 3300739 3311048 3345176 3348124 3578068 3947788 4218916 4222634 4266158 4563169 4843688 5030246 5086573 5234308 5380453 5435911 5997601 6171796 6601478 6696248 7156136 7870993 7895576 8437832 8445268 8532316 9126338 10060492 10173146 10468616 10760906 10871822 10881403 11628721 11995202 12343592 12830311 12962557 13202956 13711477 15741986 16890536 17011501 17064632 18252676 18769291 20058337 20120984 20346292 21521812 21743644 21762806 23257442 23990404 25660622 25925114 26405912 27422954 27730027 31483972 32696599 34023002 36505352 37538582 40116674 40565887 40692584 42909607 43043624 43487288 43525612 46514884 47831419 47980808 51321244 51850228 54845908 55460054 62967944 65393198 66125449 68046004 70666843 75077164 77968813 80233348 81131774 85819214 87051224 93029768 95662838 102322909 102642488 103377583 103700456 109691816 110920108 121892971 130786396 132250898 136092008 141333686 141458239 150154328 155937626 160466696 162263548 166794043 168513241 171638428 191325676 204645818 206755166 221149513 221840216 243785942 244000783 260758381 261572792 264501796 282667372 282916478 311875252 324527096 333588086 337026482 343276856 360490351 382651352 401839267 409291636 413510332 425055787 442299026 487571884 488001566 521516762 527356531 529003592 565334744 565832956 621808447 623750504 667176172 674052964 720980702 803678534 818583272 827020664 850111574 859630837 884598052 918668959 975143768 976003132 1013594569 1043033524 1054713062 1131665912 1243616894 1257542497 1330197817 1334352344 1343908579 1348105928 1441961404 1482773989 1584608623 1607357068 1700223148 1719261674 1769196104 1837337918 1952006264 2027189138 2086067048 2109426124 2190672133 2487233788 2515084994 2660395634 2687817158 2874943669 2883922808 2965547978 3169217246 3172010179 3204705073 3214714136 3389858953 3400446296 3438523348 3674675836 3778682101 4054378276 4218852248 4381344266 4974467576 5030169988 5223910471 5320791268 5375634316 5749887338 5931095956 6338434492 6344020358 6409410146 6779717906 6855634903 6877046696 7349351672 7557364202 8083509811 8108756552 8166829057 8762688532 10060339976 10447820942 10641582536 10751268632 11175200881 11499774676 11862191912 12676868984 12688040716 12818820292 13176729397 13559435812 13711269806 15114728404 16167019622 16333658114 16348052461 17470811527 17525377064 19276061857 20599912099 20895641884 22350401762 22999549352 25376081432 25637640584 26353458794 27118871624 27422539612 28478737729 30229456808 32334039244 32667316228 32696104922 34941623054 38552123714 41199824198 41236132327 41661165949 41791283768 44700803524 49122867313 52706917588 54845079224 56957475458 64668078488 65334632456 65392209844 67910836123 69883246108 77104247428 82399648396 82472264654 83322331898 89123253739 89401607048 98245734626 99345857263 105085627543 105413835176 106168777741 113914950916 117139145131 130784419688 135821672246 139766492216 154208494856 164799296792 164944529308 166644663796 178246507478 196491469252 198691714526 210171255086 212337555482 212524681993 227120549851 227829901832 234278290262 250588804141 253171700767 267798857287 271643344492 329889058616 333289327592 356493014956 392982938504 397383429052 420342510172 424675110964 425049363986 454241099702 468556580524 501177608282 506343401534 535597714574 541595157337 543286688984 638597275069 712986029912 794766858104 840685020344 849350221928 850098727972 882840869599 908482199404 937113161048 1002355216564 1012686803068 1071195429148 1083190314674 1277194550138 1291496144419 1380194110633 1522808886703 1700197455944 1765681739198 1816964398808 2004710433128 2025373606136 2142390858296 2166380629348 2554389100276 2582992288838 2760388221266 2762820865909 3045617773406 3257654453833 3291232109971 3531363478396 4332761258696 5108778200552 5165984577676 5520776442532 5525641731818 6091235546812 6515308907666 6582464219942 7040737045381 7062726956792 7848322723777 8301764575897 10331969155352 11041552885064 11051283463636 12182471093624 13030617815332 13164928439884 14081474090762 15696645447554 16603529151794 16789449877447 17942523438229 19796515527139 22102566927272 26061235630664 26329856879768 28162948181524 31393290895108 33207058303588 33578899754894 35885046876458 39593031054278 42786017429623 56325896363048 62786581790216 66414116607176 67157799509788 71770093752916 79186062108556 85572034859246 102028195409101 134315599019576 143540187505832 158372124217112 171144069718492 204056390818202 218262848406811 257354701852807 342288139436984 408112781636404 436525696813622 514709403705614 556218226585099 816225563272808 873051393627244 1029418807411228 1112436453170198 1326366540318313 1746102787254488 2058837614822456 2224872906340396 2652733080636626 4449745812680792 5305466161273252 10610932322546504 17242765024138069 34485530048276138 68971060096552276 137942120193104552
- Sum of all divisors σ(n): 297617787123249600
- Sum of proper divisors (its aliquot sum) s(n): 159675666930145048
- 137942120193104552 is an abundant number, because the sum of its proper divisors (159675666930145048) is greater than itself. Its abundance is 21733546737040496
Bases of 137942120193104552
- Binary: 1111010100001000110100000101000011010110010011010101010002
- Hexadecimal: 0x1EA11A0A1AC9AA8
- Base-36: 11Q8EF6QZ2QW
Squares and roots of 137942120193104552
- 137942120193104552 squared (1379421201931045522) is 19028028523368902606349848003120704
- 137942120193104552 cubed (1379421201931045523) is 2624766597608374891041796963759056279563198147844608
-
The
square root of 137942120193104552 is 371405600.6485423909 -
The
cube root of 137942120193104552 is 516692.6681428853
Scales and comparisons
How big is 137942120193104552?- 137,942,120,193,104,552 seconds is equal to 4,386,132,739 years, 7 weeks, 4 days, 19 hours, 42 minutes, 32 seconds.
-
To count from 1 to 137,942,120,193,104,552 would take you about thirteen billion, one hundred fifty-eight million, three hundred ninety-eight thousand, two hundred seventeen 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 137942120193104552 cubic inches would be around 43057.7 feet tall.
Recreational maths with 137942120193104552
- 137942120193104552 backwards is 255401391021249731
- The number of decimal digits it has is: 18
- The sum of 137942120193104552's digits is 59
- More coming soon!
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The information we have on file for 137942120193104552 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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