428799856706968320

Names of 428799856706968320

• Cardinal: 428799856706968320 can be written as Four hundred twenty-eight quadrillion, seven hundred ninety-nine trillion, eight hundred fifty-six billion, seven hundred six million, nine hundred sixty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.2879985670696832 × 10¹⁷

Factors of 428799856706968320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 7630703

Divisors of 428799856706968320

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 168 180 189 192 196 210 216 224 240 245 252 256 270 280 288 294 315 320 336 360 378 384 392 420 432 441 448 480 490 504 540 560 576 588 630 640 672 720 735 756 768 784 840 864 882 896 945 960 980 1008 1080 1120 1152 1176 1260 1280 1323 1344 1440 1470 1512 1568 1680 1728 1764 1792 1890 1920 1960 2016 2160 2205 2240 2304 2352 2520 2646 2688 2880 2940 3024 3136 3360 3456 3528 3780 3840 3920 4032 4320 4410 4480 4704 5040 5292 5376 5760 5880 6048 6272 6615 6720 6912 7056 7560 7840 8064 8640 8820 8960 9408 10080 10584 11520 11760 12096 12544 13230 13440 14112 15120 15680 16128 17280 17640 18816 20160 21168 23520 24192 26460 26880 28224 30240 31360 33329 34560 35280 37632 40320 42336 47040 48384 52920 56448 60480 62720 66658 70560 80640 84672 94080 99987 105840 112896 120960 133316 141120 166645 169344 188160 199974 211680 233303 241920 266632 282240 299961 333290 338688 399948 423360 466606 499935 533264 564480 599922 666580 699909 799896 846720 899883 933212 999870 1066528 1166515 1199844 1333160 1399818 1499805 1599792 1633121 1693440 1799766 1866424 1999740 2099727 2133056 2333030 2399688 2666320 2799636 2999610 3199584 3266242 3499545 3599532 3732848 3999480 4199454 4266112 4499415 4666060 4799376 4899363 5332640 5599272 5999220 6299181 6399168 6532484 6999090 7199064 7465696 7597357 7998960 8165605 8398908 8532224 8998830 9332120 9598752 9798726 10498635 10665280 11198544 11998440 12598362 12798336 13064968 13998180 14398128 14698089 14931392 15194714 15997920 16331210 16797816 17997660 18664240 19197504 19597452 20997270 21330560 22397088 22792071 23996880 24496815 25196724 25596672 26129936 27996360 28796256 29396178 29862784 30389428 31495905 31995840 32662420 33595632 35995320 37328480 37986785 38395008 39194904 41994540 42661120 44094267 44794176 45584142 47993760 48993630 50393448 52259872 53181499 55992720 57592512 58792356 59725568 60778856 62991810 63991680 65324840 67191264 68376213 71990640 73490445 74656960 75973570 76790016 78389808 83989080 88188534 89588352 91168284 95987520 97987260 100786896 104519744 106362998 111985440 113960355 115185024 117584712 121557712 125983620 127983360 130649680 134382528 136752426 143981280 146980890 149313920 151947140 156779616 159544497 167978160 176377068 179176704 182336568 191975040 195974520 201573792 205128639 209039488 212725996 220471335 223970880 227920710 230370048 235169424 243115424 251967240 261299360 265907495 268765056 273504852 287962560 293961780 298627840 303894280 313559232 319088994 335956320 341881065 352754136 364673136 372270493 383950080 391949040 403147584 410257278 418078976 425451992 440942670 447941760 455841420 470338848 478633491 486230848 503934480 522598720 531814990 537530112 547009704 575925120 587923560 607788560 627118464 638177988 671912640 683762130 705508272 729346272 744540986 783898080 797722485 806295168 820514556 850903984 881885340 895883520 911682840 940677696 957266982 972461696 1007868960 1025643195 1045197440 1063629980 1094019408 1116811479 1151850240 1175847120 1215577120 1254236928 1276355976 1343825280 1367524260 1411016544 1435900473 1458692544 1489081972 1567796160 1595444970 1612590336 1641029112 1701807968 1763770680 1823365680 1861352465 1881355392 1914533964 1944923392 2015737920 2051286390 2090394880 2127259960 2188038816 2233622958 2351694240 2393167455 2431154240 2552711952 2687650560 2735048520 2822033088 2871800946 2917385088 2978163944 3135592320 3190889940 3282058224 3350434437 3403615936 3527541360 3646731360 3722704930 3762710784 3829067928 4031475840 4102572780 4254519920 4376077632 4467245916 4703388480 4786334910 4862308480 5105423904 5470097040 5584057395 5644066176 5743601892 5834770176 5956327888 6271184640 6381779880 6564116448 6700868874 6807231872 7055082720 7179502365 7293462720 7445409860 7658135856 8062951680 8205145560 8509039840 8752155264 8934491832 9406776960 9572669820 9724616960 10051303311 10210847808 10940194080 11168114790 11288132352 11487203784 11912655776 12763559760 13128232896 13401737748 13614463744 14110165440 14359004730 14586925440 14890819720 15316271712 16410291120 16752172185 17018079680 17504310528 17868983664 18813553920 19145339640 20102606622 20421695616 21880388160 22336229580 22974407568 23825311552 25527119520 26256465792 26803475496 28220330880 28718009460 29173850880 29781639440 30632543424 32820582240 33504344370 34036159360 35737967328 38290679280 40205213244 40843391232 43760776320 44672459160 45948815136 47650623104 50256516555 51054239040 52512931584 53606950992 56440661760 57436018920 59563278880 61265086848 65641164480 67008688740 68072318720 71475934656 76581358560 80410426488 87521552640 89344918320 91897630272 95301246208 100513033110 102108478080 107213901984 114872037840 119126557760 122530173696 131282328960 134017377480 142951869312 153162717120 160820852976 178689836640 183795260544 201026066220 204216956160 214427803968 229744075680 238253115520 253212311453 262564657920 268034754960 285903738624 306325434240 321641705952 357379673280 367590521088 402052132440 428855607936 459488151360 476506231040 506424622906 536069509920 612650868480 643283411904 714759346560 759636934359 804104264880 857711215872 918976302720 1012849245812 1072139019840 1266061557265 1286566823808 1429518693120 1519273868718 1608208529760 1772486180171 1837952605440 2025698491624 2144278039680 2278910803077 2532123114530 2573133647616 3038547737436 3216417059520 3544972360342 3798184671795 4051396983248 4288556079360 4557821606154 5064246229060 5317458540513 6077095474872 6432834119040 6836732409231 7089944720684 7596369343590 8102793966496 8862430900855 9115643212308 10128492458120 10634917081026 11394554015385 12154190949744 12407403261197 12865668238080 13673464818462 14179889441368 15192738687180 15952375621539 16205587932992 17724861801710 18231286424616 20256984916240 21269834162052 22789108030770 24308381899488 24814806522394 26587292702565 27346929636924 28359778882736 30385477374360 31904751243078 32411175865984 34183662046155 35449723603420 36462572849232 37222209783591 40513969832480 42539668324104 45578216061540 47857126864617 48616763798976 49629613044788 53174585405130 54693859273848 56719557765472 60770954748720 62037016305985 63809502486156 64822351731968 68367324092310 70899447206840 72925145698464 74444419567182 79761878107695 81027939664960 85079336648208 91156432123080 95714253729234 97233527597952 99259226089576 106349170810260 109387718547696 111666629350773 113439115530944 121541909497440 124074032611970 127619004972312 136734648184620 141798894413680 145850291396928 148888839134364 159523756215390 162055879329920 170158673296416 182312864246160 186111048917955 191428507458468 194467055195904 198518452179152 212698341620520 218775437095392 223333258701546 226878231061888 239285634323085 243083818994880 248148065223940 255238009944624 273469296369240 283597788827360 291700582793856 297777678268728 319047512430780 324111758659840 334999888052319 340317346592832 364625728492320 372222097835910 382857014916936 397036904358304 425396683241040 437550874190784 446666517403092 453756462123776 478571268646170 486167637989760 496296130447880 510476019889248 546938592738480 558333146753865 567195577654720 583401165587712 595555356537456 638095024861560 669999776104638 680634693185664 729251456984640 744444195671820 765714029833872 794073808716608 850793366482080 875101748381568 893333034806184 957142537292340 972335275979520 992592260895760 1020952039778496 1093877185476960 1116666293507730 1134391155309440 1191110713074912 1276190049723120 1339999552209276 1361269386371328 1458502913969280 1488888391343640 1531428059667744 1588147617433216 1674999440261595 1701586732964160 1750203496763136 1786666069612368 1914285074584680 1985184521791520 2041904079556992 2187754370953920 2233332587015460 2268782310618880 2382221426149824 2552380099446240 2679999104418552 2917005827938560 2977776782687280 3062856119335488 3176295234866432 3349998880523190 3403173465928320 3573332139224736 3828570149169360 3970369043583040 4083808159113984 4375508741907840 4466665174030920 4764442852299648 5104760198892480 5359998208837104 5955553565374560 6125712238670976 6699997761046380 6806346931856640 7146664278449472 7657140298338720 7940738087166080 8751017483815680 8933330348061840 9528885704599296 10209520397784960 10719996417674208 11911107130749120 12251424477341952 13399995522092760 14293328556898944 15314280596677440 15881476174332160 17866660696123680 20419040795569920 21439992835348416 23822214261498240 26799991044185520 28586657113797888 30628561193354880 35733321392247360 42879985670696832 47644428522996480 53599982088371040 61257122386709760 71466642784494720 85759971341393664 107199964176742080 142933285568989440 214399928353484160 428799856706968320
• Sum of all divisors σ(n): 1770128941130827200
• Sum of proper divisors (its aliquot sum) s(n): 1341329084423858880
• 428799856706968320 is an abundant number, because the sum of its proper divisors (1341329084423858880) is greater than itself. Its abundance is 912529227716890560

Bases of 428799856706968320

• Binary: 10111110011011001110011001010100010110000011101101100000000₂
• Hexadecimal: 0x5F36732A2C1DB00
• Base-36: 39A4V2PZ45C0

Squares and roots of 428799856706968320

• 428799856706968320 squared (428799856706968320²) is 183869317111916564124928045483622400
• 428799856706968320 cubed (428799856706968320³) is 78843136830397940798942817233311385914814515642368000
• The square root of 428799856706968320 is 654828112.3370989789
• The cube root of 428799856706968320 is 754081.3684107035

Scales and comparisons

• 428,799,856,706,968,320 seconds is equal to 13,634,509,078 years, 12 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 428,799,856,706,968,320 would take you about forty billion, nine hundred three million, five hundred twenty-seven thousand, two 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 428799856706968320 cubic inches would be around 62840.1 feet tall.

Recreational maths with 428799856706968320

• 428799856706968320 backwards is 023869607658997824
• The number of decimal digits it has is: 18
• The sum of 428799856706968320's digits is 99
• More coming soon!