146129740351078400

Names of 146129740351078400

• Cardinal: 146129740351078400 can be written as One hundred forty-six quadrillion, one hundred twenty-nine trillion, seven hundred forty billion, three hundred fifty-one million, seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.461297403510784 × 10¹⁷

Factors of 146129740351078400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 3942

Divisors of 146129740351078400

• Number of divisors d(n): 1224
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 128 136 140 160 170 175 196 200 224 238 245 256 272 280 320 340 343 350 392 400 425 448 476 490 512 544 560 595 640 680 686 700 784 800 833 850 896 952 980 1024 1088 1120 1190 1225 1280 1360 1372 1400 1568 1600 1666 1700 1715 1792 1904 1960 2048 2176 2240 2380 2450 2560 2720 2744 2800 2975 3136 3200 3332 3400 3430 3584 3808 3911 3920 4096 4165 4352 4480 4760 4900 5120 5440 5488 5600 5831 5950 6272 6400 6664 6800 6860 7168 7616 7822 7840 8192 8330 8575 8704 8960 9520 9800 10240 10880 10976 11200 11662 11900 12544 12800 13328 13600 13720 14336 15232 15644 15680 16384 16660 17150 17408 17920 19040 19555 19600 20480 20825 21760 21952 22400 23324 23800 25088 25600 26656 27200 27377 27440 28672 29155 30464 31288 31360 32768 33320 34300 34816 35840 38080 39110 39200 40960 41650 43520 43904 44800 46648 47600 50176 51200 53312 54400 54754 54880 57344 58310 60928 62576 62720 65536 66487 66640 68600 69632 71680 76160 78220 78400 81920 83300 87040 87808 89600 93296 95200 97775 100352 102400 106624 108800 109508 109760 114688 116620 121856 125152 125440 132974 133280 136885 137200 139264 143360 145775 152320 156440 156800 163840 166600 174080 175616 179200 186592 190400 191639 195550 200704 204800 213248 217600 219016 219520 229376 233240 243712 250304 250880 265948 266560 273770 274400 278528 286720 291550 304640 312880 313600 327680 332435 333200 348160 351232 358400 373184 380800 383278 391100 401408 409600 426496 435200 438032 439040 458752 465409 466480 487424 500608 501760 531896 533120 547540 548800 557056 573440 583100 609280 625760 627200 664870 666400 684425 696320 702464 716800 746368 761600 766556 782200 802816 819200 852992 870400 876064 878080 930818 932960 958195 974848 1001216 1003520 1063792 1066240 1095080 1097600 1114112 1146880 1166200 1218560 1251520 1254400 1329740 1332800 1341473 1368850 1392640 1404928 1433600 1492736 1523200 1533112 1564400 1605632 1638400 1662175 1705984 1740800 1752128 1756160 1861636 1865920 1916390 1949696 2002432 2007040 2127584 2132480 2190160 2195200 2293760 2327045 2332400 2437120 2503040 2508800 2659480 2665600 2682946 2737700 2785280 2809856 2867200 2985472 3046400 3066224 3128800 3211264 3257863 3324350 3411968 3481600 3504256 3512320 3723272 3731840 3832780 3899392 4004864 4014080 4255168 4264960 4380320 4390400 4654090 4664800 4790975 4874240 5006080 5017600 5318960 5331200 5365892 5475400 5570560 5619712 5734400 5970944 6092800 6132448 6257600 6515726 6648700 6707365 6823936 6963200 7008512 7024640 7446544 7463680 7665560 7798784 8009728 8028160 8510336 8529920 8760640 8780800 9308180 9329600 9581950 9748480 10012160 10035200 10637920 10662400 10731784 10950800 11239424 11468800 11635225 11941888 12185600 12264896 12515200 13031452 13297400 13414730 13647872 13926400 14017024 14049280 14893088 14927360 15295921 15331120 16019456 16056320 16289315 17020672 17059840 17521280 17561600 18616360 18659200 19163900 19496960 20024320 20070400 21275840 21324800 21463568 21901600 22478848 22805041 23270450 23883776 24371200 24529792 25030400 26062904 26594800 26829460 27295744 27852800 28034048 28098560 29786176 29854720 30591842 30662240 32038912 32578630 33536825 34041344 34119680 35042560 35123200 37232720 37318400 38327800 38993920 40048640 40140800 42551680 42649600 42927136 43803200 45610082 46540900 47767552 48742400 49059584 50060800 52125808 53189600 53658920 54591488 56068096 56197120 59572352 59709440 61183684 61324480 64077824 65157260 67073650 68082688 68239360 70085120 70246400 74465440 74636800 76479605 76655600 80097280 80281600 81446575 85103360 85299200 85854272 87606400 91220164 93081800 95535104 97484800 98119168 100121600 104251616 106379200 107071447 107317840 112136192 112394240 114025205 119144704 119418880 122367368 122648960 128155648 130314520 134147300 136165376 136478720 140170240 140492800 148930880 149273600 152959210 153311200 160194560 162893150 170206720 170598400 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1300153285 1303145200 1361653760 1364787200 1373668352 1401702400 1459522624 1489308800 1499000258 1529592100 1569906688 1601945600 1668025856 1702067200 1713143152 1717085440 1794179072 1820214599 1824403280 1906315264 1910702080 1957877888 1962383360 2080245256 2085032320 2141428940 2146356800 2178646016 2242723840 2280504100 2382894080 2388377600 2447347360 2452979200 2600306570 2606290400 2676786175 2723307520 2747336704 2803404800 2919045248 2978617600 2998000516 3059184200 3139813376 3203891200 3336051712 3404134400 3426286304 3434170880 3640429198 3648806560 3747500645 3812630528 3915755776 3924766720 4160490512 4170064640 4282857880 4292713600 4357292032 4485447680 4561008200 4765788160 4776755200 4894694720 4905958400 5200613140 5212580800 5246500903 5353572350 5446615040 5494673408 5606809600 5838090496 5957235200 5996001032 6118368400 6279626752 6407782400 6500766425 6672103424 6808268800 6852572608 6868341760 7280858396 7297613120 7495001290 7625261056 7831511552 7849533440 8320981024 8340129280 8565715760 8585427200 8970895360 9101072995 9122016400 9531576320 9553510400 9789389440 9811916800 10401226280 10425161600 10493001806 10707144700 10893230080 10989346816 11213619200 11676180992 11914470400 11992002064 12236736800 12559253504 12741502193 13001532850 13344206848 13616537600 13705145216 13736683520 14561716792 14595226240 14990002580 15250522112 15663023104 15699066880 16641962048 16680258560 17131431520 17170854400 18202145990 18244032800 18737503225 19063152640 19578778880 19623833600 20802452560 20850323200 20986003612 21414289400 21786460160 21978693632 22427238400 23352361984 23828940800 23984004128 24473473600 25483004386 26003065700 26232504515 26688413696 27233075200 27410290432 27473367040 29123433584 29190452480 29980005160 30501044224 31326046208 31398133760 33283924096 33360517120 34262863040 34341708800 36404291980 36488065600 37475006450 38126305280 39157557760 39247667200 41604905120 41700646400 41972007224 42828578800 43957387264 44854476800 45505364975 46704723968 47657881600 47968008256 48946947200 50966008772 52006131400 52465009030 53376827392 54466150400 54820580864 54946734080 58246867168 58380904960 59960010320 62652092416 62796267520 63707510965 66567848192 66721034240 68525726080 68683417600 72808583960 72976131200 74950012900 76252610560 78315115520 78495334400 83209810240 83401292800 83944014448 85657157600 87914774528 89190515351 91010729950 93409447936 95315763200 95936016512 97893894400 101932017544 104012262800 104930018060 106753654784 108932300800 109641161728 109893468160 116493734336 116761809920 119920020640 125304184832 127415021930 131162522575 133135696384 133442068480 137051452160 137366835200 145617167920 145952262400 149900025800 152505221120 156630231040 156990668800 166419620480 166802585600 167888028896 171314315200 178381030702 182021459900 186818895872 190631526400 191872033024 195787788800 203864035088 208024525600 209860036120 213507309568 219282323456 219786936320 232987468672 233523619840 239840041280 250608369664 254830043860 262325045150 266271392768 266884136960 274102904320 274733670400 291234335840 291904524800 299800051600 313260462080 313981337600 318537554825 332839240960 333605171200 335776057792 342628630400 356762061404 364042919800 373637791744 381263052800 383744066048 391575577600 407728070176 416049051200 419720072240 438564646912 439573872640 445952576755 465974937344 467047239680 479680082560 501216739328 509660087720 524650090300 532542785536 533768273920 548205808640 549467340800 582468671680 583809049600 599600103200 626520924160 637075109650 665678481920 667210342400 671552115584 685257260800 713524122808 728085839600 747275583488 762526105600 767488132096 783151155200 815456140352 832098102400 839440144480 877129293824 891905153510 931949874688 934094479360 959360165120 1002433478656 1019320175440 1049300180600 1065085571072 1067536547840 1096411617280 1098934681600 1164937343360 1167618099200 1199200206400 1253041848320 1274150219300 1331356963840 1334420684800 1343104231168 1370514521600 1427048245616 1456171679200 1494551166976 1534976264192 1566302310400 1630912280704 1664196204800 1678880288960 1754258587648 1783810307020 1863899749376 1868188958720 1918720330240 2038640350880 2098600361200 2130171142144 2192823234560 2197869363200 2229762883775 2329874686720 2335236198400 2398400412800 2506083696640 2548300438600 2662713927680 2668841369600 2686208462336 2741029043200 2854096491232 2912343358400 3069952528384 3132604620800 3261824561408 3328392409600 3357760577920 3508517175296 3567620614040 3727799498752 3736377917440 3837440660480 4077280701760 4197200722400 4260342284288 4385646469120 4459525767550 4659749373440 4670472396800 4796800825600 5012167393280 5096600877200 5325427855360 5337682739200 5372416924672 5482058086400 5708192982464 5824686716800 6139905056768 6265209241600 6523649122816 6656784819200 6715521155840 7017034350592 7135241228080 7455598997504 7472755834880 7674881320960 8154561403520 8394401444800 8520684568576 8771292938240 8919051535100 9319498746880 9340944793600 9593601651200 10193201754400 10650855710720 10744833849344 10964116172800 11416385964928 11649373433600 12279810113536 12530418483200 13047298245632 13313569638400 13431042311680 14270482456160 14911197995008 15349762641920 16309122807040 16788802889600 17041369137152 17542585876480 17838103070200 18638997493760 18681889587200 19187203302400 20386403508800 21301711421440 21489667698688 21928232345600 22832771929856 23298746867200 24559620227072 25060836966400 26094596491264 26627139276800 26862084623360 28540964912320 29822395990016 30699525283840 32618245614080 33577605779200 35085171752960 35676206140400 37277994987520 37363779174400 38374406604800 40772807017600 42603422842880 42979335397376 43856464691200 45665543859712 46597493734400 49119240454144 52189192982528 53254278553600 53724169246720 57081929824640 59644791980032 61399050567680 65236491228160 67155211558400 71352412280800 74555989975040 76748813209600 81545614035200 85206845685760 85958670794752 87712929382400 91331087719424 93194987468800 104378385965056 106508557107200 107448338493440 114163859649280 119289583960064 122798101135360 130472982456320 134310423116800 142704824561600 149111979950080 153497626419200 163091228070400 171917341589504 175425858764800 182662175438848 186389974937600 208756771930112 213017114214400 214896676986880 228327719298560 245596202270720 260945964912640 268620846233600 285409649123200 298223959900160 306995252838400 326182456140800 343834683179008 365324350877696 372779949875200 417513543860224 426034228428800 429793353973760 456655438597120 521891929825280 537241692467200 570819298246400 596447919800320 613990505676800 652364912281600 730648701755392 745559899750400 835027087720448 859586707947520 913310877194240 1043783859650560 1074483384934400 1141638596492800 1227981011353600 1304729824563200 1461297403510784 1491119799500800 1719173415895040 1826621754388480 2087567719301120 2148966769868800 2283277192985600 2609459649126400 2922594807021568 2982239599001600 3653243508776960 4175135438602240 4297933539737600 4566554385971200 5218919298252800 5845189614043136 7306487017553920 8595867079475200 9133108771942400 10437838596505600 14612974035107840 18266217543884800 20875677193011200 29225948070215680 36532435087769600 73064870175539200 146129740351078400
• Sum of all divisors σ(n): 447597336567117600
• Sum of proper divisors (its aliquot sum) s(n): 301467596216039200
• 146129740351078400 is an abundant number, because the sum of its proper divisors (301467596216039200) is greater than itself. Its abundance is 155337855864960800

Bases of 146129740351078400

• Binary: 1000000111001010000011100110000000101111110000000000000000₂
• Hexadecimal: 0x207283980BF0000
• Base-36: 13YUO3YMXZI8

Squares and roots of 146129740351078400

• 146129740351078400 squared (146129740351078400²) is 21353901015073590746488042946560000
• 146129740351078400 cubed (146129740351078400³) is 3120440010815333298781115750421474431209570304000000
• The square root of 146129740351078400 is 382269198.7998489005
• The cube root of 146129740351078400 is 526719.6705311507

Scales and comparisons

• 146,129,740,351,078,400 seconds is equal to 4,646,473,734 years, 10 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 146,129,740,351,078,400 would take you about thirteen billion, nine hundred thirty-nine million, four hundred twenty-one thousand, two hundred 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 146129740351078400 cubic inches would be around 43893.3 feet tall.

Recreational maths with 146129740351078400

• 146129740351078400 backwards is 004870153047921641
• The number of decimal digits it has is: 18
• The sum of 146129740351078400's digits is 62
• More coming soon!