137148021439272246
137,148,021,439,272,246 is an even composite number composed of six prime numbers multiplied together.
What does the number 137148021439272246 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
137148021439272246 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137148021439272246:
2 × 3 × 135 × 195 × 232 × 47
(2 × 3 × 13 × 13 × 13 × 13 × 13 × 19 × 19 × 19 × 19 × 19 × 23 × 23 × 47)See below for interesting mathematical facts about the number 137148021439272246 from the Numbermatics database.
Names of 137148021439272246
- Cardinal: 137148021439272246 can be written as One hundred thirty-seven quadrillion, one hundred forty-eight trillion, twenty-one billion, four hundred thirty-nine million, two hundred seventy-two thousand, two hundred forty-six.
Scientific notation
- Scientific notation: 1.37148021439272246 × 1017
Factors of 137148021439272246
Divisors of 137148021439272246
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 6 13 19 23 26 38 39 46 47 57 69 78 94 114 138 141 169 247 282 299 338 361 437 494 507 529 598 611 722 741 874 893 897 1014 1058 1081 1083 1222 1311 1482 1587 1786 1794 1833 2162 2166 2197 2622 2679 3174 3211 3243 3666 3887 4394 4693 5358 5681 6422 6486 6591 6859 6877 7774 7943 8303 9386 9633 10051 11362 11609 11661 13182 13718 13754 14053 14079 15886 16606 16967 17043 19266 20102 20539 20577 20631 23218 23322 23829 24863 24909 28106 28158 28561 30153 33934 34086 34827 41078 41154 41262 41743 42159 47658 49726 49818 50531 50901 57122 60306 61009 61617 69654 73853 74589 83486 84318 85683 89167 89401 101062 101802 103259 107939 122018 123234 125229 130321 130663 147706 149178 150917 151593 157757 171366 178334 178802 182689 183027 190969 206518 215878 220571 221559 250458 260642 261326 267007 267501 268203 301834 303186 309777 315514 322373 323219 323817 365378 366054 371293 381938 390241 390963 391989 441142 443118 452751 472397 473271 534014 535002 536406 542659 548067 572907 619554 644746 646438 647634 656903 661713 742586 780482 781926 783978 793117 801021 905502 944794 946542 960089 967119 969657 1085318 1096134 1113879 1145814 1159171 1162213 1170723 1313806 1323426 1342367 1403207 1417191 1586234 1602042 1627977 1694173 1698619 1920178 1934238 1939314 1961921 1970709 2050841 2227758 2318342 2324426 2341446 2374957 2379351 2476099 2482597 2684734 2806414 2834382 2867423 2880267 2997383 3255954 3388346 3397238 3471091 3477513 3486639 3628411 3923842 3941418 4027101 4101682 4190849 4201847 4209621 4749914 4758702 4952198 4965194 5073133 5082519 5095857 5734846 5760534 5885763 5994766 6125087 6141161 6152523 6942182 6955026 6973278 7054567 7124871 7256822 7414579 7428297 7447791 8054202 8381698 8403694 8419242 8539739 8602269 8975543 8992149 10146266 10165038 10191714 10310521 10413273 10885233 11771526 12250174 12282322 12305046 12481157 12572547 12605541 14109134 14249742 14829158 14856594 14895582 15069223 15108769 15219399 17079478 17204538 17450771 17951086 17984298 18241691 18375261 18423483 20621042 20826546 21163701 21770466 22024249 22082047 22243737 24962314 25145094 25211082 25504973 25619217 26660933 26926629 30138446 30217538 30438798 30874441 30931563 32189287 32273761 34901542 36483382 36750522 36846966 37276499 37443471 38965979 42327402 44048498 44164094 44487474 45124183 45207669 45326307 47169343 51009946 51238434 52352313 53321866 53853258 54481037 54624011 54725073 56950277 61748882 61863126 64378574 64547522 65950729 66072747 66246141 68939809 74552998 74886942 76514919 77931958 79626131 79835093 79982799 90248366 90415338 90652614 92623323 94338686 96389527 96567861 96821283 104704626 108962074 109248022 109450146 111829497 113900554 116376653 116682059 116897937 131901458 132145494 132492282 134036773 135372549 137879618 140877001 141508029 153029838 159252262 159670186 159965598 162255041 163443111 163872033 170535317 170850831 185246646 192779054 193135722 193642566 195899899 196413997 197852187 206819427 223658994 232753306 233364118 233795874 237141983 238878393 239505279 268073546 270745098 281754002 283016058 286315237 287066611 289168581 324510082 326886222 327744066 331564649 341070634 341701662 346592129 349129959 350046177 391799798 392827994 395704374 401367733 402110319 413638854 418460731 419558893 422631003 474283966 477756786 479010558 484594487 486765123 506557727 511605951 572630474 574133222 578337162 586614379 587699697 589241991 613201459 663129298 693184258 698259918 700092354 708253481 710112143 711425949 740353601 802735466 804220638 836921462 839117786 845262006 857359477 858945711 861199833 896217517 969188974 973530246 994693947 1013115454 1023211902 1035139703 1037856209 1039776387 1173228758 1175399394 1178483982 1204103199 1226402918 1253063851 1255382193 1258676679 1309856371 1416506962 1420224286 1422851898 1453783461 1480707202 1512896489 1516866767 1519673181 1714718954 1717891422 1722399666 1759843137 1792435034 1831401013 1839604377 1989387894 2070279406 2075712418 2079552774 2124760443 2130336429 2216959121 2221060803 2408206398 2506127702 2510764386 2517353358 2546698687 2572078431 2619712742 2676663019 2688652551 2907566922 3025792978 3033733534 3039346362 3082845779 3105419109 3113568627 3240171023 3519686274 3662802026 3679208754 3722098081 3731865943 3759191553 3929569113 4249520886 4260672858 4433918242 4442121606 4505697677 4538689467 4550600301 5093397374 5144156862 5353326038 5377305102 5439989503 5454265609 5494203039 6165691558 6210838218 6227137254 6299728331 6480342046 6585250451 6650877363 7444196162 7463731886 7518383106 7625986927 7640096061 7859138226 7971618967 8029989057 9011395354 9077378934 9101200602 9207295253 9231457859 9248537337 9624596813 9720513069 10879979006 10908531218 10988406078 11145673201 11166294243 11195597829 11650827721 12599456662 13170500902 13301754726 13456816139 13492130717 13517093031 15251973854 15280192122 15943237934 16059978114 16289830063 16319968509 16362796827 17028132823 18414590506 18462915718 18497074674 18899184993 19249193626 19441026138 19667654357 19719267971 19755751353 22291346402 22332588486 22391195658 22877960781 23301655442 23808213169 23914856901 26913632278 26984261434 27034186062 27621885759 27694373577 28820468573 28873790439 32579660126 32639937018 32725593654 33437019603 34056265646 34796619247 34952483163 37798369986 39335308714 39438535942 39511502706 40370448417 40476392151 42122223299 45755921562 47616426338 47829713802 48387275053 48869490189 51084398469 55243771518 55388747154 57640937146 57747580878 58574069801 59002963071 59157803913 61563249437 66874039206 69593238494 69904966326 70719863539 70905452917 71424639507 80740896834 80952784302 84244446598 85608255863 86461405719 96774550106 97738980378 102168796938 103631046571 104389857741 117148139602 118005926142 118315607826 119694838289 123126498874 125119758569 126366669897 141439727078 141810905834 142849279014 144893751613 145161825159 151460760373 171216511726 172922811438 174938609807 175397699321 175722209403 184689748311 207262093142 208779715482 211767790819 212159590617 212716358751 221365726699 239389676578 250239517138 252733339794 255679506641 256350483623 256824767589 289787503226 290323650318 302921520746 309506771197 310893139713 349877219614 350795398642 351444418806 359084514867 369379496622 374666091449 375359275707 423535581638 424319181234 425432717502 434681254839 442731453398 452356050211 454382281119 511359013282 512700967246 513649535178 524815829421 526193097963 547588902887 619013542394 621786279426 635303372457 664097180097 718169029734 749332182898 750718551414 767038519923 769051450869 800322242681 869362509678 904712100422 908764562238 919358226007 928520313591 1049631658842 1052386195926 1095177805774 1112907326219 1123998274347 1270606744914 1328194360194 1347203605423 1357068150633 1534077039846 1538102901738 1600644485362 1626556861397 1642766708661 1838716452014 1857040627182 1968989884849 2225814652438 2247996548694 2274201927491 2400966728043 2694407210846 2714136301266 2752981280647 2758074678021 2877754447087 3253113722794 3285533417322 3323833586333 3332556287099 3338721978657 3937979769698 4023588025561 4041610816269 4548403854982 4801933456086 4870659188837 4879670584191 5505962561294 5516149356042 5755508894174 5880628652743 5906969654547 6647667172666 6665112574198 6677443957314 6822605782473 7118655737531 8047176051122 8083221632538 8258943841941 8633263341261 9741318377674 9759341168382 9971500758999 9997668861297 10404189154853 11761257305486 11813939309094 12070764076683 13645211564946 14237311475062 14611977566511 16517887683882 17266526682522 17641885958229 19943001517998 19995337722594 20808378309706 21145239198161 21355967212593 24141528153366 25596868503037 29223955133022 31212567464559 35283771916458 37410807812131 42290478396322 42711934425186 43209836622329 51193737006074 52306644332293 62425134929118 63318569454881 63435717594483 74821615624262 76448172485659 76790605509111 86419673244658 92542524587903 104613288664586 112232423436393 126637138909762 126871435188966 129629509866987 135254459013089 152896344971318 153581211018222 156919932996879 185085049175806 189955708364643 224464846872786 229344517456977 259259019733974 270508918026178 277627573763709 313839865993758 379911416729286 405763377039267 458689034913954 486340501557703 555255147527418 811526754078534 972681003115406 993826242313567 1203052819642739 1459021504673109 1758307967170157 1987652484627134 2406105639285478 2918043009346218 2981478726940701 3516615934340314 3609158458928217 5274923901510471 5962957453881402 7218316917856434 10549847803020942 22858003573212041 45716007146424082 68574010719636123 137148021439272246
- Sum of all divisors σ(n): 334869415367800320
- Sum of proper divisors (its aliquot sum) s(n): 197721393928528074
- 137148021439272246 is an abundant number, because the sum of its proper divisors (197721393928528074) is greater than itself. Its abundance is 60573372489255828
Bases of 137148021439272246
- Binary: 1111001110011111101100110000110111000100100010101001101102
- Hexadecimal: 0x1E73F661B891536
- Base-36: 11IEWZ97YQEU
Squares and roots of 137148021439272246
- 137148021439272246 squared (1371480214392722462) is 18809579784707079631210438105884516
- 137148021439272246 cubed (1371480214392722463) is 2579696651576708394454396742467710669358713159942936
-
The
square root of 137148021439272246 is 370335012.4404553867 -
The
cube root of 137148021439272246 is 515699.2687068299
Scales and comparisons
How big is 137148021439272246?- 137,148,021,439,272,246 seconds is equal to 4,360,882,855 years, 4 weeks, 2 days, 20 hours, 4 minutes, 6 seconds.
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To count from 1 to 137,148,021,439,272,246 would take you about thirteen billion, eighty-two million, six hundred forty-eight thousand, five hundred sixty-five 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 137148021439272246 cubic inches would be around 42974.9 feet tall.
Recreational maths with 137148021439272246
- 137148021439272246 backwards is 642272934120841731
- The number of decimal digits it has is: 18
- The sum of 137148021439272246's digits is 66
- More coming soon!
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Numbermatics. (2024). Number 137148021439272246 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/137148021439272246/
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The information we have on file for 137148021439272246 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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