84990577476097728000
84,990,577,476,097,728,000 is an even composite number composed of five prime numbers multiplied together.
84990577476097728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 84990577476097728000:
29 × 32 × 53 × 709 × 208114366567
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 709 × 208114366567)See below for interesting mathematical facts about the number 84990577476097728000 from the Numbermatics database.
Names of 84990577476097728000
- Cardinal: 84990577476097728000 can be written as Eighty-four quintillion, nine hundred ninety quadrillion, five hundred seventy-seven trillion, four hundred seventy-six billion, ninety-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 8.4990577476097728 × 1019
Factors of 84990577476097728000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 208114367286
Divisors of 84990577476097728000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 512 576 600 640 709 720 750 768 800 900 960 1000 1125 1152 1200 1280 1418 1440 1500 1536 1600 1800 1920 2000 2127 2250 2304 2400 2560 2836 2880 3000 3200 3545 3600 3840 4000 4254 4500 4608 4800 5672 5760 6000 6381 6400 7090 7200 7680 8000 8508 9000 9600 10635 11344 11520 12000 12762 12800 14180 14400 16000 17016 17725 18000 19200 21270 22688 23040 24000 25524 28360 28800 31905 32000 34032 35450 36000 38400 42540 45376 48000 51048 53175 56720 57600 63810 64000 68064 70900 72000 85080 88625 90752 96000 102096 106350 113440 115200 127620 136128 141800 144000 159525 170160 177250 181504 192000 204192 212700 226880 255240 265875 272256 283600 288000 319050 340320 354500 363008 408384 425400 453760 510480 531750 544512 567200 576000 638100 680640 709000 797625 816768 850800 907520 1020960 1063500 1089024 1134400 1276200 1361280 1418000 1595250 1633536 1701600 1815040 2041920 2127000 2268800 2552400 2722560 2836000 3190500 3267072 3403200 4083840 4254000 4537600 5104800 5445120 5672000 6381000 6806400 8167680 8508000 9075200 10209600 11344000 12762000 13612800 16335360 17016000 20419200 22688000 25524000 27225600 34032000 40838400 45376000 51048000 68064000 81676800 102096000 136128000 204192000 408384000 208114366567 416228733134 624343099701 832457466268 1040571832835 1248686199402 1664914932536 1873029299103 2081143665670 2497372398804 3121715498505 3329829865072 3746058598206 4162287331340 4994744797608 5202859164175 6243430997010 6659659730144 7492117196412 8324574662680 9365146495515 9989489595216 10405718328350 12486861994020 13319319460288 14984234392824 15608577492525 16649149325360 18730292991030 19978979190432 20811436656700 24973723988040 26014295820875 26638638920576 29968468785648 31217154985050 33298298650720 37460585982060 39957958380864 41622873313400 46825732477575 49947447976080 52028591641750 53277277841152 59936937571296 62434309970100 66596597301440 74921171964120 78042887462625 79915916761728 83245746626800 93651464955150 99894895952160 104057183283500 106554555682304 119873875142592 124868619940200 133193194602880 147553085896003 149842343928240 156085774925250 159831833523456 166491493253600 187302929910300 199789791904320 208114366567000 234128662387875 239747750285184 249737239880400 266386389205760 295106171792006 299684687856480 312171549850500 319663667046912 332982986507200 374605859820600 399579583808640 416228733134000 442659257688009 468257324775750 479495500570368 499474479760800 532772778411520 590212343584012 599369375712960 624343099701000 665965973014400 737765429480015 749211719641200 799159167617280 832457466268000 885318515376018 936514649551500 958991001140736 998948959521600 1180424687168024 1198738751425920 1248686199402000 1327977773064027 1331931946028800 1475530858960030 1498423439282400 1598318335234560 1664914932536000 1770637030752036 1873029299103000 1997897919043200 2213296288440045 2360849374336048 2397477502851840 2497372398804000 2655955546128054 2663863892057600 2951061717920060 2996846878564800 3329829865072000 3541274061504072 3688827147400075 3746058598206000 3995795838086400 4426592576880090 4721698748672096 4794955005703680 4994744797608000 5311911092256108 5902123435840120 5993693757129600 6639888865320135 6659659730144000 7082548123008144 7377654294800150 7492117196412000 7991591676172800 8853185153760180 9443397497344192 9989489595216000 10623822184512216 11066481442200225 11804246871680240 11987387514259200 13279777730640270 13319319460288000 14165096246016288 14755308589600300 14984234392824000 17706370307520360 18444135737000375 18886794994688384 19978979190432000 21247644369024432 22132962884400450 23608493743360480 23974775028518400 26559555461280540 28330192492032576 29510617179200600 29968468785648000 33199444326600675 35412740615040720 36888271474000750 37773589989376768 39957958380864000 42495288738048864 44265925768800900 47216987486720960 53119110922561080 55332407211001125 56660384984065152 59021234358401200 59936937571296000 66398888653201350 70825481230081440 73776542948001500 75547179978753536 84990577476097728 88531851537601800 94433974973441920 106238221845122160 110664814422002250 113320769968130304 118042468716802400 119873875142592000 132797777306402700 141650962460162880 147553085896003000 165997221633003375 169981154952195456 177063703075203600 188867949946883840 212476443690244320 221329628844004500 226641539936260608 236084937433604800 265595554612805400 283301924920325760 295106171792006000 331994443266006750 339962309904390912 354127406150407200 377735899893767680 424952887380488640 442659257688009000 472169874867209600 531191109225610800 566603849840651520 590212343584012000 663988886532013500 679924619808781824 708254812300814400 849905774760977280 885318515376018000 944339749734419200 1062382218451221600 1133207699681303040 1180424687168024000 1327977773064027000 1416509624601628800 1699811549521954560 1770637030752036000 1888679499468838400 2124764436902443200 2360849374336048000 2655955546128054000 2833019249203257600 3399623099043909120 3541274061504072000 4249528873804886400 4721698748672096000 5311911092256108000 5666038498406515200 7082548123008144000 8499057747609772800 9443397497344192000 10623822184512216000 14165096246016288000 16998115495219545600 21247644369024432000 28330192492032576000 42495288738048864000 84990577476097728000
- Sum of all divisors σ(n): 306551887559012272320
- Sum of proper divisors (its aliquot sum) s(n): 221561310082914544320
- 84990577476097728000 is an abundant number, because the sum of its proper divisors (221561310082914544320) is greater than itself. Its abundance is 136570732606816816320
Bases of 84990577476097728000
- Binary: 10010011011011110110010111111101010010001100001111011011110000000002
- Hexadecimal: 0x49B7B2FEA461EDE00
- Base-36: HXPV9A236RGG0
Squares and roots of 84990577476097728000
- 84990577476097728000 squared (849905774760977280002) is 7223398259720570448887158606761984000000
- 84990577476097728000 cubed (849905774760977280003) is 613920789433490641112186123458333462879794019172352000000000
-
The
square root of 84990577476097728000 is 9219033435.0243967427 -
The
cube root of 84990577476097728000 is 4396667.1985753203
Scales and comparisons
How big is 84990577476097728000?- 84,990,577,476,097,728,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 84,990,577,476,097,728,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 84990577476097728000 cubic inches would be around 366388.9 feet tall.
Recreational maths with 84990577476097728000
- 84990577476097728000 backwards is 00082779067477509948
- The number of decimal digits it has is: 20
- The sum of 84990577476097728000's digits is 99
- More coming soon!
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