34146142928266950

Names of 34146142928266950

• Cardinal: 34146142928266950 can be written as Thirty-four quadrillion, one hundred forty-six trillion, one hundred forty-two billion, nine hundred twenty-eight million, two hundred sixty-six thousand, nine hundred fifty.

Scientific notation

• Scientific notation: 3.414614292826695 × 10¹⁶

Factors of 34146142928266950

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 93

Divisors of 34146142928266950

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 49 50 53 63 69 70 75 90 98 105 106 115 126 138 147 150 159 161 175 207 210 225 230 245 265 294 315 318 322 343 345 350 371 414 441 450 477 483 490 525 529 530 575 630 686 690 735 742 795 805 882 954 966 1029 1035 1050 1058 1113 1127 1150 1219 1225 1325 1449 1470 1575 1587 1590 1610 1715 1725 1855 2058 2070 2205 2226 2254 2385 2415 2438 2450 2597 2645 2650 2809 2898 3087 3150 3174 3339 3381 3430 3450 3657 3675 3703 3710 3975 4025 4410 4761 4770 4830 5145 5175 5194 5290 5565 5618 5635 6095 6174 6678 6762 7245 7314 7350 7406 7791 7889 7935 7950 8050 8427 8533 8575 9275 9522 10143 10290 10350 10971 11025 11109 11130 11270 11925 12075 12190 12985 13225 14045 14490 15435 15582 15778 15870 16695 16854 16905 17066 17150 18179 18285 18515 18550 19663 20286 21942 22050 22218 23373 23667 23805 23850 24150 25281 25599 25725 25921 25970 26450 27825 28037 28090 28175 30475 30870 33327 33390 33810 36225 36358 36570 37030 38955 39326 39445 39675 42135 42665 46746 47334 47610 50562 50715 51198 51450 51842 54537 54855 55545 55650 56074 56350 58989 59731 60950 64607 64925 66654 70225 71001 72450 76797 77175 77763 77910 78890 79350 83475 84111 84270 84525 85330 90895 91425 92575 98315 101430 109074 109710 111090 116865 117978 118335 119025 119462 126405 127995 129214 129605 129850 137641 140185 140450 142002 148877 153594 154350 155526 163611 166635 166950 168222 169050 176967 179193 181447 181790 182850 185150 193821 194775 196259 196630 197225 210675 213325 233289 233730 236670 238050 252333 252810 253575 255990 259210 272685 274275 275282 277725 280370 294945 297754 298655 323035 327222 333270 353934 355005 358386 362894 383985 387642 388815 389550 392518 394450 412923 418117 420555 421350 426650 446631 452249 454475 466578 491575 504666 507150 537579 544341 545370 548550 555450 581463 584325 588777 589890 591675 597310 632025 639975 646070 648025 688205 700925 710010 744385 767970 777630 818055 825846 833175 836234 841110 884835 893262 895965 904498 907235 908950 963487 969105 981295 983150 1042139 1075158 1088682 1162926 1166445 1168650 1177554 1183350 1238769 1254351 1261665 1264050 1279950 1296050 1339893 1356747 1363425 1373813 1376410 1401850 1474725 1485961 1488770 1493275 1615175 1633023 1636110 1666350 1766331 1769670 1775025 1791930 1814470 1919925 1926974 1938210 1944075 1962590 2064615 2084278 2090585 2102775 2233155 2261245 2332890 2477538 2508702 2523330 2679786 2687895 2713494 2721705 2726850 2747626 2890461 2907315 2943885 2949450 2971922 2986550 3126417 3165743 3230350 3266046 3424171 3441025 3532662 3550050 3721925 3763053 3839850 3888150 4070241 4090275 4121439 4129230 4181170 4205550 4424175 4457883 4466310 4479825 4522490 4536175 4817435 4845525 4906475 5210695 5375790 5443410 5780922 5814630 5832225 5887770 6193845 6252834 6271755 6308325 6331486 6699465 6783735 6848342 6869065 6882050 7294973 7429805 7443850 7526106 7890481 8140482 8165115 8180550 8242878 8671383 8831655 8848350 8915766 8959650 9072350 9379251 9497229 9616691 9634870 9691050 9812950 10272513 10323075 10401727 10421390 10452925 11165775 11306225 11664450 12364317 12387690 12543510 12616650 13373649 13398930 13439475 13567470 13608525 13738130 14452305 14536575 14589946 14719425 14859610 15632085 15780962 15828715 16330230 17120855 17342766 17663310 18758502 18815265 18994458 19233382 20351205 20545026 20607195 20646150 20803454 20905850 21884919 22160201 22289415 22331550 22612450 23671443 23969197 24087175 24728634 26053475 26747298 26878950 27217050 28491687 28850073 28904610 29073150 29438850 30817539 30969225 31205181 31264170 31358775 31657430 33497325 33918675 34241710 34345325 36474865 37149025 37630530 39452405 40702410 40825575 41214390 43356915 43769838 44158275 44320402 44578830 46896255 47342886 47486145 47938394 48083455 48174350 51064811 51362565 52008635 52106950 55233367 56983374 57700146 61635078 61821585 61938450 62410362 62717550 65654757 66480603 66868245 66994650 67837350 68690650 71014329 71907591 72261525 72812089 72949730 74298050 78160425 78755933 78904810 79143575 81651150 85604275 86550219 86713830 88316550 93615543 93792510 94076325 94972290 96166910 101756025 102129622 102725130 103035975 104017270 109424595 110466734 110801005 111447075 118357215 119845985 123643170 131309514 132961206 133736490 142028658 142458435 143815182 144250365 144523050 145624178 153194433 154087695 156025905 156320850 157511866 158287150 165700101 167784379 171208550 173100438 181481063 182374325 187231086 188152650 197262025 199441809 203512050 206071950 215722773 216784575 218436267 218849190 221602010 222894150 234481275 236267799 236714430 237430725 239691970 240417275 255324055 256812825 260043175 276166835 284916870 288500730 306388866 308175390 309107925 312051810 328273785 331400202 332403015 334341225 335568758 355071645 359537955 362962126 364060445 364748650 386633569 393779665 394524050 398883618 418195493 431445546 432751095 433569150 436872534 459583299 468077715 468962550 472535598 474861450 480834550 497100303 503353137 509684623 510648110 513625650 520086350 544443189 547122975 551291531 552333670 554005025 591786075 599229925 618215850 655308801 656547570 664806030 668682450 708803397 710143290 712292175 719075910 721251825 728120890 765972165 770438475 773267138 780129525 787559330 828500505 836390986 838921895 865502190 907405315 919166598 936155430 994200606 997209045 1006706274 1019369246 1078613865 1088886378 1092181335 1094245950 1102583062 1108010050 1159900707 1174490653 1181338995 1183572150 1198459850 1254586479 1270367441 1276620275 1310617602 1380834175 1417606794 1424584350 1442503650 1510059411 1529053869 1531944330 1540876950 1560259050 1633329567 1641368925 1653874593 1657001010 1662015075 1677843790 1775358225 1797689775 1814810630 1820302225 1933167845 1968898325 1994418090 2090977465 2157227730 2163755475 2184362670 2297916495 2319801414 2340388575 2348981306 2362677990 2485501515 2509172958 2516765685 2540734882 2548423115 2553240550 2706434983 2722215945 2756457655 2761668350 2927368451 3020118822 3058107738 3266659134 3276544005 3282737850 3307749186 3324030150 3479702121 3523471959 3544016985 3550716450 3595379550 3640604450 3763759437 3811102323 3829860825 3859040717 3866335690 3937796650 4142502525 4174064449 4181954930 4194609475 4327510950 4537026575 4587161607 4595832990 4680777150 4961623779 4971003030 4986045225 5033531370 5096846230 5393069325 5412869966 5444431890 5460906675 5512915310 5799503535 5854736902 5872453265 5906694975 6272932395 6351837205 6553088010 6959404242 7046943918 7088033970 7527518874 7550297055 7622204646 7645269345 7659721650 7718081434 8119304949 8166647835 8269372965 8285005050 8348128898 8389218950 8782105353 8892572087 9074053150 9174323214 9618496339 9665839225 9923247558 9972090450 10454887325 10570415877 10786138650 10921813350 11433306969 11489582475 11577122151 11599007070 11744906530 11813389950 12427507575 12522193347 12545864790 12583828425 12703674410 12742115575 13532174915 13611079725 13782288275 14636842255 15100594110 15290538690 16238609898 16333295670 16382720025 16538745930 17398510605 17564210706 17617359795 17720084925 17785144174 18818797185 19055511615 19236992678 19295203585 19331678450 20491579157 20870322245 20909774650 21140831754 22866613938 22935808035 22979164950 23154244302 24357914847 24808118895 24855015150 25044386694 25167656850 25484231150 26346316059 26677716261 27013285019 27064349830 27222159450 27564576550 28855489017 28997517675 29218451143 29273684510 29362266325 31364661975 31759186025 32765440050 34731366453 34797021210 35234719590 35440169850 37566580041 37637594370 37751485275 38111023230 38226346725 38590407170 40596524745 40833239175 40983158314 41346864825 41740644490 43910526765 44462860435 45871616070 48092481695 48715829694 49616237790 52692632118 52852079385 53355432522 54026570038 57166534845 57710978034 57885610755 57995035350 58436902286 58724532650 61474737471 62248004609 62610966735 62729323950 63518372050 67329474373 67660874575 69462732906 73184211275 75133160082 75502970550 76452693450 80033148783 81039855057 81193049490 81666478350 82693729650 86566467051 86992553025 87655353429 87821053530 88086798975 88925720870 94093985925 95277558075 96184963390 96476017925 102457895785 104351611225 105704158770 114333069690 114679040175 115771221510 121789574235 122949474942 124040594475 124496009218 125221933470 131731580295 133388581305 134658948746 135066425095 135321749150 143441054099 144277445085 146092255715 146368422550 160066297566 162079710114 173132934102 173656832265 173985106050 175310706858 176173597950 184424212413 186744013827 187832900205 188187971850 190555116150 192952035850 201988423119 202982623725 204529158001 204915791570 208703222450 219552633825 221225415797 222314302175 229358080350 240462408475 243119565171 243579148470 248081188950 262966060287 263463160590 264260396925 266777162610 270132850190 285832674225 286882108198 288554890170 289428053775 292184511430 307373687355 311240023045 313054833675 336647371865 347313664530 368848424826 373488027654 375665800410 400165743915 403976846238 405199275285 405965247450 409058316002 430323162297 432832335255 438276767145 439105267650 442450831594 444628604350 471306320611 480924816950 486239130342 512289478925 525932120574 528520793850 560232041481 571665348450 578856107550 605965269357 608947871175 613587474003 614747374710 622480046090 626109667350 658657901475 663676247391 666942906525 673294743730 675332125475 717205270495 721387225425 730461278575 800331487830 810398550570 860646324594 865664670510 868284161325 876553534290 922121062065 933720069135 939164501025 942612641222 1009942115595 1022645790005 1024578957850 1106127078985 1120464082962 1211930538714 1215597825855 1217895742350 1227174948006 1290969486891 1314830301435 1317315802950 1327352494782 1333885813050 1350664250950 1413918961833 1431704106007 1434410540990 1442774450850 1460922557150 1536868436775 1548577910579 1556200115225 1683236859325 1736568322650 1840762422009 1844242124130 1867440138270 1878329002050 1991028742173 2000828719575 2019884231190 2025996376425 2045291580010 2151615811485 2164161676275 2191383835725 2212254157970 2356531603055 2431195651710 2581938973782 2629660602870 2801160207405 2827837923666 2863408212014 3029826346785 3067937370015 3073736873550 3097155821158 3112400230450 3299144244277 3318381236955 3366473718650 3586026352475 3681524844018 3982057484346 4001657439150 4051992752850 4241756885499 4295112318021 4303231622970 4328323352550 4382767671450 4610605310325 4645733731737 4668600345675 4713063206110 5049710577975 5113228950025 5530635394925 5602320414810 6059652693570 6077989129275 6135874740030 6454847434455 6574151507175 6598288488554 6636762473910 7069594809165 7158520530035 7172052704950 7742889552895 8483513770998 8590224636042 9203812110045 9221210620650 9291467463474 9337200691350 9897432732831 9955143710865 10099421155950 10226457900050 10758079057425 10840045374053 11061270789850 11782658015275 12155978258550 12885336954063 12909694868910 13148303014350 13937201195211 14005801037025 14139189618330 14317041060070 15149131733925 15339686850075 15485779105790 16495721221385 16591906184775 18407624220090 19794865465662 19910287421730 21208784427495 21475561590105 21516158114850 21680090748106 23228668658685 23565316030550 25770673908126 27874402390422 28011602074050 29692298198493 30298263467850 30679373700150 32274237172275 32520136122159 32991442442770 33183812369550 35347974045825 35792602650175 38714447764475 42417568854990 42951123180210 46019060550225 46457337317370 49487163664155 49775718554325 54200226870265 59384596396986 64426684770315 64548474344550 65040272244318 69686005976055 70695948091650 71585205300350 75880317618371 77428895528950 82478606106925 92038121100450 97560408366477 98974327328310 99551437108650 106043922137475 107377807950525 108400453740530 116143343293425 128853369540630 139372011952110 148461490992465 151760635236742 162600680610795 164957212213850 195120816732954 212087844274950 214755615901050 227640952855113 232286686586850 247435818320775 271001134351325 296922981984930 322133423851575 325201361221590 348430029880275 379401588091855 455281905710226 487802041832385 494871636641550 542002268702650 644266847703150 682922858565339 696860059760550 742307454962325 758803176183710 813003403053975 975604083664770 1138204764275565 1365845717130678 1484614909924650 1626006806107950 1897007940459275 2276409528551130 2439010209161925 3414614292826695 3794015880918550 4878020418323850 5691023821377825 6829228585653390 11382047642755650 17073071464133475 34146142928266950
• Sum of all divisors σ(n): 113989092845191200
• Sum of proper divisors (its aliquot sum) s(n): 79842949916924250
• 34146142928266950 is an abundant number, because the sum of its proper divisors (79842949916924250) is greater than itself. Its abundance is 45696806988657300

Bases of 34146142928266950

• Binary: 1111001010011111011110001101111101100000110011011000110₂
• Hexadecimal: 0x794FBC6FB066C6
• Base-36: 9C7SPI87ETI

Squares and roots of 34146142928266950

• 34146142928266950 squared (34146142928266950²) is 1165959076877635038893330462302500
• 34146142928266950 cubed (34146142928266950³) is 39813005287573918780244985585350055538631652375000
• The square root of 34146142928266950 is 184786749.8720266739
• The cube root of 34146142928266950 is 324424.6797638005

Scales and comparisons

• 34,146,142,928,266,950 seconds is equal to 1,085,741,724 years, 8 weeks, 3 days, 16 hours, 22 minutes, 30 seconds.
• To count from 1 to 34,146,142,928,266,950 would take you about three billion, two hundred fifty-seven million, two hundred twenty-five thousand, one hundred seventy-two 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 34146142928266950 cubic inches would be around 27035.4 feet tall.

Recreational maths with 34146142928266950

• 34146142928266950 backwards is 05966282924164143
• The number of decimal digits it has is: 17
• The sum of 34146142928266950's digits is 72
• More coming soon!