146920470507428800

Names of 146920470507428800

• Cardinal: 146920470507428800 can be written as One hundred forty-six quadrillion, nine hundred twenty trillion, four hundred seventy billion, five hundred seven million, four hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.469204705074288 × 10¹⁷

Factors of 146920470507428800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 420270400

Divisors of 146920470507428800

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 130 140 160 175 182 196 200 208 224 245 260 280 320 325 343 350 364 392 400 416 448 455 490 520 560 637 650 686 700 728 784 800 832 910 980 1040 1120 1225 1274 1300 1372 1400 1456 1568 1600 1715 1820 1960 2080 2240 2275 2401 2450 2548 2600 2744 2800 2912 3136 3185 3430 3640 3920 4160 4459 4550 4802 4900 5096 5200 5488 5600 5824 6370 6860 7280 7840 8575 8918 9100 9604 9800 10192 10400 10976 11200 12005 12740 13720 14560 15680 15925 16807 17150 17836 18200 19208 19600 20384 20800 21952 22295 24010 25480 27440 29120 31213 31850 33614 34300 35672 36400 38416 39200 40768 44590 48020 50960 54880 60025 62426 63700 67228 68600 71344 72800 76832 78400 84035 89180 96040 101920 109760 111475 120050 124852 127400 134456 137200 142688 145600 153664 156065 168070 178360 192080 203840 218491 222950 240100 249704 254800 268912 274400 285376 312130 336140 356720 384160 420175 436982 445900 480200 499408 509600 537824 548800 624260 672280 713440 768320 780325 840350 873964 891800 960400 998816 1019200 1075648 1092455 1248520 1344560 1426880 1560650 1680700 1747928 1783600 1920800 1997632 2184910 2497040 2689120 3121300 3361400 3495856 3567200 3841600 4369820 4994080 5378240 5462275 6242600 6722800 6991712 7134400 8739640 9988160 10924550 12485200 13445600 13983424 17479280 21849100 24970400 26891200 34958560 43698200 49940800 69917120 87396400 174792800 349585600 420270373 840540746 1681081492 2101351865 2941892611 3362162984 4202703730 5463514849 5883785222 6724325968 8405407460 10506759325 10927029698 11767570444 13448651936 14709463055 16810814920 20593248277 21013518650 21854059396 23535140888 26897303872 27317574245 29418926110 33621629840 38244603943 41186496554 42027037300 43708118792 47070281776 54635148490 58837852220 67243259680 73547315275 76489207886 82372993108 84054074600 87416237584 94140563552 102966241385 109270296980 117675704440 134486519360 136587871225 144152737939 147094630550 152978415772 164745986216 168108149200 174832475168 188281127104 191223019715 205932482770 218540593960 235351408880 267712227601 273175742450 288305475878 294189261100 305956831544 329491972432 336216298400 349664950336 382446039430 411864965540 437081187920 470702817760 514831206925 535424455202 546351484900 576610951756 588378522200 611913663088 658983944864 672432596800 720763689695 764892078860 823729931080 874162375840 941405635520 956115098575 1009069165573 1029662413850 1070848910404 1092702969800 1153221903512 1176757044400 1223827326176 1317967889728 1338561138005 1441527379390 1529784157720 1647459862160 1748324751680 1873985593207 1912230197150 2018138331146 2059324827700 2141697820808 2185405939600 2306443807024 2353514088800 2447654652352 2677122276010 2883054758780 3059568315440 3294919724320 3603818448475 3747971186414 3824460394300 4036276662292 4118649655400 4283395641616 4370811879200 4612887614048 4707028177600 5045345827865 5354244552020 5766109517560 6119136630880 6589839448640 6692805690025 7063484159011 7207636896950 7495942372828 7648920788600 8072553324584 8237299310800 8566791283232 8741623758400 9225775228096 9369927966035 10090691655730 10708489104040 11532219035120 12238273261760 13117899152449 13385611380050 14126968318022 14415273793900 14991884745656 15297841577200 16145106649168 16474598621600 17133582566464 18739855932070 20181383311460 21416978208080 23064438070240 25226729139325 26235798304898 26771222760100 28253936636044 28830547587800 29983769491312 30595683154400 32290213298336 32949197243200 35317420795055 37479711864140 40362766622920 42833956416160 46128876140480 46849639830175 50453458278650 52471596609796 53542445520200 56507873272088 57661095175600 59967538982624 61191366308800 64580426596672 65589495762245 70634841590110 74959423728280 80725533245840 85667912832320 91825294067143 93699279660350 100906916557300 104943193219592 107084891040400 113015746544176 115322190351200 119935077965248 131178991524490 141269683180220 149918847456560 161451066491680 176587103975275 183650588134286 187398559320700 201813833114600 209886386439184 214169782080800 226031493088352 230644380702400 262357983048980 282539366360440 299837694913120 322902132983360 327947478811225 353174207950550 367301176268572 374797118641400 403627666229200 419772772878368 428339564161600 452062986176704 459126470335715 524715966097960 565078732720880 599675389826240 655894957622450 706348415901100 734602352537144 749594237282800 807255332458400 839545545756736 918252940671430 1049431932195920 1130157465441760 1311789915244900 1412696831802200 1469204705074288 1499188474565600 1614510664916800 1836505881342860 2098863864391840 2260314930883520 2295632351678575 2623579830489800 2825393663604400 2938409410148576 2998376949131200 3673011762685720 4197727728783680 4591264703357150 5247159660979600 5650787327208800 5876818820297152 7346023525371440 9182529406714300 10494319321959200 11301574654417600 14692047050742880 18365058813428600 20988638643918400 29384094101485760 36730117626857200 73460235253714400 146920470507428800
• Sum of all divisors σ(n): 454208780192780256
• Sum of proper divisors (its aliquot sum) s(n): 307288309685351456
• 146920470507428800 is an abundant number, because the sum of its proper divisors (307288309685351456) is greater than itself. Its abundance is 160367839177922656

Bases of 146920470507428800

• Binary: 1000001001111101110110001110110110110101000001101111000000₂
• Hexadecimal: 0x209F763B6D41BC0
• Base-36: 146MYKDPZJR4

Squares and roots of 146920470507428800

• 146920470507428800 squared (146920470507428800²) is 21585624654124255832555987069440000
• 146920470507428800 cubed (146920470507428800³) is 3171370130380690720812053109562932888261455872000000
• The square root of 146920470507428800 is 383302061.7051632817
• The cube root of 146920470507428800 is 527668.0153396365

Scales and comparisons

• 146,920,470,507,428,800 seconds is equal to 4,671,616,507 years, 14 weeks, 4 days, 19 hours, 6 minutes, 40 seconds.
• To count from 1 to 146,920,470,507,428,800 would take you about fourteen billion, fourteen million, eight hundred forty-nine thousand, five hundred twenty-one 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 146920470507428800 cubic inches would be around 43972.3 feet tall.

Recreational maths with 146920470507428800

• 146920470507428800 backwards is 008824705074029641
• The number of decimal digits it has is: 18
• The sum of 146920470507428800's digits is 67
• More coming soon!