228829287337164800

Names of 228829287337164800

• Cardinal: 228829287337164800 can be written as Two hundred twenty-eight quadrillion, eight hundred twenty-nine trillion, two hundred eighty-seven billion, three hundred thirty-seven million, one hundred sixty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.288292873371648 × 10¹⁷

Factors of 228829287337164800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 632

Divisors of 228829287337164800

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 128 130 143 160 169 176 200 208 220 256 260 275 286 320 325 338 352 400 416 440 512 520 550 572 601 640 650 676 704 715 800 832 845 880 1024 1040 1100 1144 1202 1280 1300 1352 1408 1430 1600 1664 1690 1760 1859 2048 2080 2197 2200 2288 2404 2560 2600 2704 2816 2860 3005 3200 3328 3380 3520 3575 3718 4096 4160 4225 4394 4400 4576 4808 5120 5200 5408 5632 5720 6010 6400 6611 6656 6760 7040 7150 7436 7813 8192 8320 8450 8788 8800 9152 9295 9616 10240 10400 10816 10985 11264 11440 12020 12800 13222 13312 13520 14080 14300 14872 15025 15626 16384 16640 16900 17576 17600 18304 18590 19232 20480 20800 21632 21970 22528 22880 24040 24167 25600 26444 26624 27040 28160 28600 29744 30050 31252 32768 33055 33280 33800 35152 35200 36608 37180 38464 39065 40960 41600 43264 43940 45056 45760 46475 48080 48334 51200 52888 53248 54080 54925 56320 57200 59488 60100 62504 65536 66110 66560 67600 70304 70400 73216 74360 76928 78130 81920 83200 85943 86528 87880 90112 91520 92950 96160 96668 101569 102400 105776 106496 108160 109850 112640 114400 118976 120200 120835 125008 131072 132220 133120 135200 140608 140800 146432 148720 153856 156260 163840 165275 166400 171886 173056 175760 180224 183040 185900 192320 193336 195325 203138 204800 211552 212992 216320 219700 225280 228800 237952 240400 241670 250016 262144 264440 266240 270400 281216 281600 292864 297440 307712 312520 327680 330550 332800 343772 346112 351520 360448 361201 366080 371800 384640 386672 390650 406276 409600 423104 425984 429715 432640 439400 450560 457600 475904 480800 483340 500032 507845 524288 528880 532480 540800 562432 563200 585728 594880 604175 615424 625040 655360 661100 665600 687544 692224 703040 720896 722402 732160 743600 769280 773344 781300 812552 819200 846208 851968 859430 865280 878800 901120 915200 951808 961600 966680 1000064 1015690 1048576 1057760 1064960 1081600 1117259 1124864 1126400 1171456 1189760 1208350 1230848 1250080 1310720 1320397 1322200 1331200 1375088 1384448 1406080 1441792 1444804 1464320 1487200 1538560 1546688 1562600 1625104 1638400 1692416 1703936 1718860 1730560 1757600 1802240 1806005 1830400 1903616 1923200 1933360 2000128 2031380 2115520 2129920 2148575 2163200 2234518 2249728 2252800 2342912 2379520 2416700 2461696 2500160 2539225 2621440 2640794 2644400 2662400 2750176 2768896 2812160 2883584 2889608 2928640 2974400 3077120 3093376 3125200 3250208 3276800 3384832 3407872 3437720 3461120 3515200 3604480 3612010 3660800 3807232 3846400 3866720 3973211 4000256 4062760 4231040 4259840 4297150 4326400 4469036 4499456 4505600 4685824 4695613 4759040 4833400 4923392 5000320 5078450 5242880 5281588 5288800 5324800 5500352 5537792 5586295 5624320 5767168 5779216 5857280 5948800 6154240 6186752 6250400 6500416 6553600 6601985 6769664 6815744 6875440 6922240 7030400 7208960 7224020 7321600 7614464 7692800 7733440 7946422 8000512 8125520 8462080 8519680 8594300 8652800 8938072 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187824520 190361600 196935680 197976064 198660550 200012800 206606972 208013312 211263520 216629248 220014080 221511680 223451800 224972800 231168640 232389872 234291200 234780650 243662848 244171876 246169600 247470080 254285504 256016384 258258715 260016640 264079400 270786560 275017600 276889600 286018304 287965184 288358400 288960800 290487340 300519232 304578560 305214845 309337600 315097088 317856880 320020480 325020800 338021632 338483200 340787200 352022528 357522880 359956480 363109175 369869824 374865920 375649040 380723200 393871360 395952128 397321100 400025600 413213944 416026624 422527040 433258496 440028160 443023360 446903600 449945600 462337280 464779744 468582400 469561300 487325696 488343752 492339200 494940160 508571008 512032768 516517430 520033280 528158800 541573120 550035200 553779200 572036608 575930368 577921600 580974680 601038464 609157120 610429690 618675200 630194176 635713760 640040960 650041600 671472659 676043264 676966400 704045056 715045760 719912960 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2542855040 2560163840 2582587150 2600166400 2685890636 2704173056 2707865600 2816180224 2860183040 2879651840 2904873400 2958958592 3005192320 3045785600 3052148450 3150970880 3167617024 3174234388 3178568800 3200204800 3305711552 3328212992 3357363295 3380216320 3466067968 3520225280 3575228800 3599564800 3698698240 3718237952 3748659200 3756490400 3906750016 3938713600 3959521280 3967792985 4068568064 4096262144 4132139440 4160266240 4225270400 4332584960 4400281600 4430233600 4576292864 4623372800 4647797440 4808307712 4873256960 4883437520 4949401600 5085710080 5120327680 5165174300 5200332800 5371781272 5408346112 5415731200 5632360448 5720366080 5759303680 5809746800 5917917184 6010384640 6091571200 6104296900 6335234048 6348468776 6357137600 6400409600 6611423104 6656425984 6714726590 6760432640 6932135936 7040450560 7150457600 7199129600 7397396480 7436475904 7512980800 7813500032 7877427200 7919042560 7935585970 8137136128 8192524288 8264278880 8320532480 8450540800 8665169920 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107435625440 108166922240 112647208960 114407321600 118358343680 118983614464 120207692800 125016000512 126704680960 126969375520 130194178048 132228462080 133128519680 134294531800 135208652800 139666313072 140809011200 146441371648 147947929600 148729518080 153865846784 156270000640 158380851200 158711719400 162742722560 165285577600 166410649600 171897000704 173067075584 173303398400 174582891340 183051714560 185911897600 189373349888 192332308480 195337500800 203151000832 203428403200 204813107200 211565539328 214871250880 216333844480 218228614175 225294417920 228814643200 236716687360 237967228928 240415385600 250032001024 253938751040 260388356096 264456924160 266257039360 268589063600 270417305600 279332626144 281618022400 292882743296 295895859200 297459036160 307731693568 312540001280 316761702400 317423438800 325485445120 330571155200 332821299200 343794001408 346134151168 349165782680 366103429120 371823795200 378746699776 384664616960 390675001600 406302001664 406856806400 423131078656 429742501760 432667688960 436457228350 450588835840 457629286400 473433374720 475934457856 480830771200 500064002048 507877502080 520776712192 528913848320 532514078720 537178127200 540834611200 558665252288 563236044800 585765486592 591791718400 594918072320 615463387136 625080002560 633523404800 634846877600 650970890240 661142310400 665642598400 687588002816 692268302336 698331565360 732206858240 743647590400 769329233920 781350003200 812604003328 813713612800 846262157312 859485003520 865335377920 872914456700 915258572800 946866749440 951868915712 961661542400 1000128004096 1015755004160 1041553424384 1057827696640 1074356254400 1081669222400 1117330504576 1126472089600 1171530973184 1183583436800 1189836144640 1230926774272 1250160005120 1269693755200 1301941780480 1322284620800 1331285196800 1375176005632 1384536604672 1396663130720 1464413716480 1487295180800 1538658467840 1562700006400 1625208006656 1627427225600 1692524314624 1718970007040 1730670755840 1745828913400 1830517145600 1893733498880 1903737831424 1923323084800 2000256008192 2031510008320 2083106848768 2115655393280 2148712508800 2163338444800 2234661009152 2252944179200 2367166873600 2379672289280 2461853548544 2500320010240 2539387510400 2603883560960 2644569241600 2662570393600 2750352011264 2793326261440 2928827432960 2974590361600 3077316935680 3125400012800 3250416013312 3254854451200 3385048629248 3437940014080 3461341511680 3491657826800 3661034291200 3807475662848 3846646169600 4000512016384 4063020016640 4166213697536 4231310786560 4297425017600 4326676889600 4469322018304 4734333747200 4759344578560 4923707097088 5000640020480 5078775020800 5207767121920 5289138483200 5500704022528 5586652522880 5857654865920 5949180723200 6154633871360 6250800025600 6500832026624 6509708902400 6770097258496 6875880028160 6922683023360 6983315653600 7322068582400 7614951325696 7693292339200 8001024032768 8126040033280 8462621573120 8594850035200 8653353779200 8938644036608 9468667494400 9518689157120 10001280040960 10157550041600 10415534243840 10578276966400 11001408045056 11173305045760 11898361446400 12309267742720 12501600051200 13001664053248 13019417804800 13540194516992 13751760056320 13966631307200 14644137164800 15229902651392 15386584678400 16002048065536 16252080066560 16925243146240 17189700070400 17306707558400 17877288073216 19037378314240 20002560081920 20315100083200 20831068487680 21156553932800 22002816090112 22346610091520 23796722892800 24618535485440 25003200102400 26003328106496 26038835609600 27080389033984 27503520112640 27933262614400 29288274329600 30773169356800 32004096131072 32504160133120 33850486292480 34379400140800 34613415116800 35754576146432 38074756628480 40005120163840 40630200166400 42313107865600 44005632180224 44693220183040 47593445785600 50006400204800 52006656212992 52077671219200 54160778067968 55007040225280 55866525228800 61546338713600 64008192262144 65008320266240 67700972584960 68758800281600 71509152292864 76149513256960 80010240327680 81260400332800 84626215731200 88011264360448 89386440366080 95186891571200 100012800409600 104013312425984 104155342438400 110014080450560 111733050457600 123092677427200 130016640532480 135401945169920 137517600563200 143018304585728 160020480655360 162520800665600 169252431462400 176022528720896 178772880732160 190373783142400 200025600819200 208026624851968 220028160901120 223466100915200 260033281064960 270803890339840 275035201126400 286036609171456 320040961310720 325041601331200 338504862924800 352045057441792 357545761464320 380747566284800 400051201638400 416053249703936 440056321802240 446932201830400 520066562129920 550070402252800 572073218342912 650083202662400 677009725849600 704090114883584 715091522928640 800102403276800 832106499407872 880112643604480 893864403660800 1040133124259840 1100140804505600 1144146436685824 1300166405324800 1354019451699200 1430183045857280 1600204806553600 1760225287208960 1787728807321600 2080266248519680 2200281609011200 2288292873371648 2600332810649600 2860366091714560 3520450574417920 3575457614643200 4160532497039360 4400563218022400 4576585746743296 5200665621299200 5720732183429120 7150915229286400 8801126436044800 9153171493486592 10401331242598400 11441464366858240 14301830458572800 17602252872089600 20802662485196800 22882928733716480 28603660917145600 45765857467432960 57207321834291200 114414643668582400 228829287337164800
• Sum of all divisors σ(n): 671771790067276080
• Sum of proper divisors (its aliquot sum) s(n): 442942502730111280
• 228829287337164800 is an abundant number, because the sum of its proper divisors (442942502730111280) is greater than itself. Its abundance is 214113215392946480

Bases of 228829287337164800

• Binary: 1100101100111101110000011001000001111100000000000000000000₂
• Hexadecimal: 0x32CF70641F00000
• Base-36: 1QL57ND7FKE8

Squares and roots of 228829287337164800

• 228829287337164800 squared (228829287337164800²) is 52362842743234730684675302359040000
• 228829287337164800 cubed (228829287337164800³) is 11982151987882434897165460589680952589305249792000000
• The square root of 228829287337164800 is 478361042.8715582605
• The cube root of 228829287337164800 is 611651.2524352557

Scales and comparisons

• 228,829,287,337,164,800 seconds is equal to 7,276,063,521 years, 44 weeks, 5 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 228,829,287,337,164,800 would take you about twenty-one billion, eight hundred twenty-eight million, one hundred ninety 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 228829287337164800 cubic inches would be around 50970.9 feet tall.

Recreational maths with 228829287337164800

• 228829287337164800 backwards is 008461733782928822
• 228829287337164800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 228829287337164800's digits is 80
• More coming soon!