146101148805496832

Names of 146101148805496832

• Cardinal: 146101148805496832 can be written as One hundred forty-six quadrillion, one hundred one trillion, one hundred forty-eight billion, eight hundred five million, four hundred ninety-six thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 1.46101148805496832 × 10¹⁷

Factors of 146101148805496832

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 194

Divisors of 146101148805496832

• Number of divisors d(n): 912
• Complete list of divisors:
  1 2 4 8 16 19 29 32 38 58 61 64 76 83 116 122 128 152 166 232 244 256 304 332 464 488 512 551 608 664 841 928 976 1024 1102 1159 1216 1328 1577 1682 1769 1856 1952 2048 2204 2318 2407 2432 2656 3154 3364 3538 3712 3904 4096 4408 4636 4814 4864 5063 5312 6308 6728 6889 7076 7424 7808 8192 8816 9272 9628 9728 10126 10624 12616 13456 13778 14152 14848 15616 15979 16384 17632 18544 19256 19456 20252 21248 25232 26912 27556 28304 29696 31232 31958 32768 33611 35264 37088 38512 38912 40504 42496 45733 50464 51301 53824 55112 56608 59392 62464 63916 65536 67222 69803 70528 74176 77024 77824 81008 84992 91466 96197 100928 102602 107648 110224 113216 118784 124928 127832 130891 131072 134444 139606 141056 146827 148352 154048 155648 162016 169984 182932 192394 199781 201856 205204 215296 220448 226432 237568 249856 255664 261782 262144 268888 279212 282112 293654 296704 308096 311296 324032 339968 365864 384788 399562 403712 410408 420229 430592 440896 452864 475136 499712 511328 523564 537776 558424 564224 571787 587308 593408 616192 622592 648064 679936 731728 769576 799124 807424 820816 840458 861184 881792 905728 950272 974719 999424 1022656 1047128 1075552 1116848 1128448 1143574 1174616 1186816 1232384 1245184 1296128 1326257 1359872 1463456 1539152 1598248 1614848 1641632 1680916 1722368 1763584 1811456 1900544 1949438 1998848 2045312 2094256 2151104 2233696 2256896 2287148 2349232 2373632 2464768 2490368 2592256 2652514 2719744 2789713 2926912 3078304 3196496 3229696 3283264 3361832 3444736 3527168 3622912 3795839 3801088 3898876 3997696 4090624 4188512 4257983 4302208 4467392 4513792 4574296 4698464 4747264 4929536 4980736 5184512 5305028 5439488 5579426 5793649 5853824 6156608 6392992 6459392 6566528 6723664 6889472 7054336 7245824 7591678 7602176 7797752 7984351 7995392 8181248 8377024 8515966 8604416 8934784 9027584 9148592 9396928 9494528 9859072 10369024 10610056 10863953 10878976 11158852 11587298 11707648 12186641 12313216 12785984 12918784 13133056 13447328 13778944 14108672 14491648 15183356 15595504 15968702 15990784 16362496 16581823 16754048 17031932 17208832 17869568 18055168 18297184 18793856 18989056 19718144 20738048 21220112 21727906 21757952 22317704 23174596 23415296 24373282 24626432 25571968 25837568 26266112 26894656 27557888 28217344 28983296 30366712 31191008 31937404 32724992 33163646 33508096 34063864 34417664 34879007 35739136 36110336 36594368 37587712 37978112 39436288 41476096 42440224 43455812 44635408 46349192 46830592 48746564 49252864 51143936 51675136 52532224 53789312 55115776 56434688 57966592 60733424 62382016 63874808 65449984 66327292 67016192 68127728 68835328 69758014 71478272 72220672 73188736 75175424 75956224 78872576 80901677 82952192 84880448 86911624 89270816 92698384 93661184 97493128 98505728 102287872 103350272 105064448 107578624 110079331 110231552 112869376 115933184 121466848 124764032 127749616 130899968 132654584 134032384 136255456 137670656 139516028 142956544 144441344 146377472 150350848 151912448 157745152 161803354 165904384 169760896 173823248 178541632 185396768 187322368 194986256 197011456 204575744 206700544 210128896 215157248 220158662 220463104 225738752 231546179 231866368 242933696 249528064 255499232 261799936 265309168 268064768 272510912 275341312 279032056 285913088 292754944 300701696 303824896 315054637 315490304 323606708 331808768 339521792 347646496 353412589 357083264 370793536 374644736 389972512 394022912 409151488 413401088 420257792 430314496 440317324 451477504 463092358 463732736 480872867 485867392 499056128 510998464 523599872 530618336 536129536 545021824 550682624 558064112 571826176 585509888 601403392 630109274 630980608 647213416 662701133 663617536 679043584 695292992 706825178 714166528 741587072 749289472 779945024 788045824 818302976 840515584 860628992 880634648 902955008 926184716 961745734 971734784 998112256 1011491203 1021996928 1047199744 1061236672 1072259072 1090043648 1101365248 1116128224 1143652352 1171019776 1202806784 1260218548 1294426832 1325402266 1327235072 1358087168 1390585984 1413650356 1428333056 1483174144 1498578944 1559890048 1576091648 1636605952 1681031168 1721257984 1761269296 1805910016 1852369432 1923491468 1943469568 1996224512 2022982406 2043993856 2094399488 2122473344 2144518144 2180087296 2202730496 2232256448 2287304704 2342039552 2405613568 2520437096 2588853664 2650804532 2716174336 2781171968 2827300712 2856666112 2966348288 2997157888 3119780096 3152183296 3273211904 3362062336 3442515968 3522538592 3704738864 3846982936 3886939136 3992449024 4045964812 4087987712 4188798976 4244946688 4289036288 4360174592 4405460992 4464512896 4574609408 4684079104 4811227136 5040874192 5177707328 5301609064 5432348672 5562343936 5654601424 5713332224 5932696576 5994315776 6239560192 6304366592 6546423808 6714839191 6724124672 6885031936 7045077184 7409477728 7693965872 7773878272 7984898048 8091929624 8175975424 8489893376 8578072576 8720349184 8810921984 8929025792 9136584473 9149218816 9368158208 9622454272 10081748384 10355414656 10603218128 10864697344 11124687872 11309202848 11426664448 11865393152 11988631552 12479120384 12608733184 13092847616 13429678382 13448249344 13770063872 14090154368 14818955456 15387931744 15547756544 15969796096 16183859248 16351950848 16979786752 17156145152 17440698368 17858051584 18273168946 18298437632 18736316416 19218332857 19244908544 20163496768 20710829312 21206436256 21729394688 22249375744 22618405696 22853328896 23730786304 24958240768 25217466368 26185695232 26859356764 27540127744 28180308736 29333244887 29637910912 30775863488 31095513088 31939592192 32367718496 32703901696 33959573504 34312290304 34881396736 35716103168 36546337892 37472632832 38436665714 38489817088 40326993536 41421658624 42412872512 43458789376 44498751488 45236811392 45706657792 47461572608 49916481536 52371390464 53718713528 55080255488 56360617472 58666489774 59275821824 61551726976 62191026176 63879184384 64735436992 65407803392 67919147008 69762793472 71432206336 73092675784 74945265664 76873331428 80653987072 82843317248 84825745024 86917578752 88997502976 90473622784 91413315584 94923145216 99832963072 107437427056 110160510976 112721234944 117332979548 118551643648 123103453952 124382052352 127758368768 129470873984 130815606784 135838294016 139525586944 142864412672 146185351568 149890531328 153746662856 161307974144 165686634496 169651490048 173835157504 177995005952 180947245568 182826631168 189846290432 199665926144 214874854112 225442469888 234665959096 237103287296 246206907904 248764104704 255516737536 258941747968 261631213568 271676588032 279051173888 285728825344 292370703136 307493325712 322615948288 331373268992 339302980096 347670315008 355990011904 361894491136 365653262336 379692580864 399331852288 429749708224 450884939776 469331918192 474206574592 492413815808 497528209408 517883495936 523262427136 543353176064 557331652853 558102347776 571457650688 584741406272 614986651424 645231896576 662746537984 678605960192 711980023808 723788982272 731306524672 759385161728 798663704576 859499416448 901769879552 938663836384 948413149184 984827631616 995056418816 1035766991872 1046524854272 1086706352128 1114663305706 1116204695552 1142915301376 1169482812544 1229973302848 1290463793152 1325493075968 1357211920384 1423960047616 1447577964544 1518770323456 1597327409152 1718998832896 1803539759104 1877327672768 1896826298368 1969655263232 2071533983744 2093049708544 2173412704256 2229326611412 2285830602752 2338965625088 2459946605696 2580927586304 2650986151936 2714423840768 2847920095232 2895155929088 3194654818304 3437997665792 3607079518208 3754655345536 3793652596736 3939310526464 4143067967488 4346825408512 4458653222824 4571661205504 4677931250176 4919893211392 5161855172608 5301972303872 5428847681536 5790311858176 6875995331584 7214159036416 7509310691072 7587305193472 7878621052928 8286135934976 8917306445648 9143322411008 9355862500352 9839786422784 10323710345216 10603944607744 10857695363072 11580623716352 13751990663168 14428318072832 15018621382144 15174610386944 15757242105856 16572271869952 17834612891296 18711725000704 19679572845568 20647420690432 21207889215488 21715390726144 23161247432704 27503981326336 28856636145664 30037242764288 30349220773888 31514484211712 33144543739904 35669225782592 37423450001408 39359145691136 41294841380864 43430781452288 46322494865408 55007962652672 60074485528576 60698441547776 63028968423424 66289087479808 71338451565184 74846900002816 78718291382272 82589682761728 86861562904576 92644989730816 110015925305344 120148971057152 126057936846848 132578174959616 142676903130368 149693800005632 157436582764544 173723125809152 220031850610688 240297942114304 265156349919232 285353806260736 299387600011264 314873165529088 440063701221376 480595884228608 570707612521472 598775200022528 629746331058176 880127402442752 961191768457216 1141415225042944 1197550400045056 1259492662116352 1760254804885504 1922383536914432 2282830450085888 2395100800090112 2518985324232704 3844767073828864 4565660900171776 5037970648465408 7689534147657728 9131321800343552 18262643600687104 36525287201374208 73050574402748416 146101148805496832
• Sum of all divisors σ(n): 327723389103364800
• Sum of proper divisors (its aliquot sum) s(n): 181622240297867968
• 146101148805496832 is an abundant number, because the sum of its proper divisors (181622240297867968) is greater than itself. Its abundance is 35521091492371136

Bases of 146101148805496832

• Binary: 1000000111000011100011100010000011110101000000000000000000₂
• Hexadecimal: 0x2070E3883D40000
• Base-36: 13YKJ96QWZY8

Squares and roots of 146101148805496832

• 146101148805496832 squared (146101148805496832²) is 21345545682285928379951418362036224
• 146101148805496832 cubed (146101148805496832³) is 3118608746062186824949276235151531748511959501242368
• The square root of 146101148805496832 is 382231799.8355145123
• The cube root of 146101148805496832 is 526685.3158731415

Scales and comparisons

• 146,101,148,805,496,832 seconds is equal to 4,645,564,611 years, 25 weeks, 3 days, 3 hours, 20 minutes, 32 seconds.
• To count from 1 to 146,101,148,805,496,832 would take you about thirteen billion, nine hundred thirty-six million, six hundred ninety-three thousand, eight hundred thirty-four 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 146101148805496832 cubic inches would be around 43890.4 feet tall.

Recreational maths with 146101148805496832

• 146101148805496832 backwards is 238694508841101641
• The number of decimal digits it has is: 18
• The sum of 146101148805496832's digits is 71
• More coming soon!