40648135597856150
40,648,135,597,856,150 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40648135597856150 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 972 divisors.
40648135597856150 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 40648135597856150:
2 × 52 × 72 × 132 × 232 × 2632 × 2683
(2 × 5 × 5 × 7 × 7 × 13 × 13 × 23 × 23 × 263 × 263 × 2683)See below for interesting mathematical facts about the number 40648135597856150 from the Numbermatics database.
Names of 40648135597856150
- Cardinal: 40648135597856150 can be written as Forty quadrillion, six hundred forty-eight trillion, one hundred thirty-five billion, five hundred ninety-seven million, eight hundred fifty-six thousand, one hundred fifty.
Scientific notation
- Scientific notation: 4.064813559785615 × 1016
Factors of 40648135597856150
Divisors of 40648135597856150
- Number of divisors d(n): 972
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Complete list of divisors:
1 2 5 7 10 13 14 23 25 26 35 46 49 50 65 70 91 98 115 130 161 169 175 182 230 245 263 299 322 325 338 350 455 490 526 529 575 598 637 650 805 845 910 1058 1127 1150 1183 1225 1274 1315 1495 1610 1690 1841 2093 2254 2275 2366 2450 2630 2645 2683 2990 3185 3419 3682 3703 3887 4025 4186 4225 4550 5290 5366 5635 5915 6049 6370 6575 6838 6877 7406 7475 7774 8050 8281 8450 9205 10465 11270 11830 12098 12887 13150 13225 13415 13754 14651 14950 15925 16562 17095 18410 18515 18781 19435 20930 23933 25774 25921 26450 26830 27209 28175 29302 29575 30245 31850 34190 34385 34879 37030 37562 38870 41405 42343 44447 46025 47866 48139 51842 52325 54418 56350 59150 60490 61709 64435 67075 68770 69169 69758 73255 78637 82810 84686 85475 88894 89401 92050 92575 93905 96278 97175 104650 119665 123418 128870 129605 131467 134150 136045 138338 139127 146510 151225 157274 167531 170950 171925 174395 178802 185150 187810 190463 194350 207025 211715 222235 239330 240695 244153 259210 262934 272090 278254 296401 302450 308545 311129 322175 335062 336973 343850 345845 348790 366275 380926 393185 414050 423430 431963 444470 447005 453427 469525 481390 484183 488306 550459 592802 598325 617090 622258 625807 644350 648025 657335 673946 680225 691690 695635 705629 732550 786370 802217 837655 863926 871975 894010 899197 906854 939050 952315 968366 973889 1022281 1058575 1100918 1111175 1196650 1203475 1220765 1251614 1296050 1314670 1360450 1391270 1411258 1419307 1482005 1542725 1555645 1590887 1604434 1675310 1684865 1709071 1729225 1743950 1798394 1808651 1904630 1947778 1965925 2044562 2117150 2159815 2177903 2222350 2235025 2267135 2406950 2420915 2441530 2752295 2838614 2964010 3023741 3085450 3111290 3129035 3173989 3181774 3286675 3369730 3389281 3418142 3458450 3478175 3528145 3617302 3853213 3931850 4011085 4188275 4319630 4355806 4380649 4470050 4495985 4534270 4761575 4841830 4869445 4939403 5111405 5504590 5615519 6047482 6103825 6258070 6294379 6347978 6573350 6778562 6817223 6956350 7056290 7096535 7155967 7410025 7706426 7778225 7954435 8022170 8376550 8424325 8545355 8761298 8991970 9043255 9173177 9523150 9738890 9878806 9935149 10222810 10428821 10799075 10889515 11136209 11231038 11335675 11689561 12104575 12207650 12588758 12660557 13634446 13761475 14193070 14311934 14820050 15118705 15556450 15645175 15869945 15908870 16229467 16848650 16946405 17090710 17640725 18086510 18346354 18450991 19266065 19870298 20055425 20681531 20857642 21598150 21779030 21903245 22217923 22272418 22479925 22671350 23379122 23512463 24209150 24347225 24697015 25321114 25557025 27522950 28077595 30237410 31290350 31471895 31739890 32458934 33892810 34086115 34575821 35281450 35482675 35779835 36590401 36901982 38532130 39308633 39772175 40110850 41363062 42726775 43806490 44060653 44435846 44959850 45216275 45865885 47024926 48694450 49394030 49675745 50091769 51114050 52144105 54447575 55681045 56155190 58447805 62943790 63302785 64212239 68172230 69151642 69546043 70965350 71559670 73001747 73180802 75593525 77953463 78617266 79349725 79544350 81147335 81826927 84732025 85453550 88121306 88623899 90432550 91731770 92254955 96330325 99351490 100183538 103407655 104288210 108895150 109516225 111089615 111362090 113606269 116895610 117562315 119251301 123485075 126605570 128424478 129156937 139092086 140387975 144770717 146003494 151187050 155906926 157359475 158699450 162294670 163653854 164587241 169464050 170430575 172879105 177247798 178899175 182952005 184509910 185580427 192660650 196543165 206815310 210983071 219032450 220303265 222179230 227212538 229329425 235124630 238502602 239862883 246970150 248378725 250458845 256132807 258313874 260720525 268859903 278405225 280775950 289541434 292239025 314718950 316513925 321061195 329174482 340861150 345758210 347730215 357798350 365008735 365904010 371160854 373277741 389767315 393086330 405736675 409134635 421966142 440606530 443119495 449485673 458658850 461274775 475675213 479725766 496757450 500917690 511012229 512265614 517038275 521441050 537719806 555448075 556810450 568031345 572788489 584478050 587811575 596256505 633027850 642122390 645784685 695460430 723853585 730017470 746555482 779534630 795243883 811473350 818269270 822936205 834759107 864395525 886238990 898971346 904098559 914760025 922549550 927902135 951350426 982715825 1013395019 1022024458 1034076550 1054915355 1101516325 1110896150 1136062690 1145576978 1152110687 1175623150 1192513010 1199314415 1252294225 1280664035 1291569370 1299062989 1344299515 1447707170 1476881497 1590487766 1605305975 1645872410 1669518214 1679040181 1728791050 1738651075 1792929649 1808197118 1825043675 1829520050 1855804270 1866388705 1882019321 1948836575 1965431650 2026790038 2045673175 2109830710 2203032650 2215597475 2247428365 2304221374 2378376065 2398628830 2412545551 2504588450 2555061145 2561328070 2598125978 2612944187 2688599030 2742779923 2840156725 2863942445 2953762994 2981282525 3210611950 3228923425 3329726491 3358080362 3477302150 3585859298 3619267925 3650087350 3732777410 3764038642 3897673150 3976219415 4091346350 4114681025 4173795535 4268349821 4431194950 4494856730 4520492795 4639510675 4756752130 4825091102 4852610633 5066975095 5110122290 5225888374 5274576775 5485559846 5680313450 5727884890 5760553435 5843313749 5962565050 5996572075 6183777769 6403320175 6457846850 6495314945 6659452982 6721497575 7238535850 7384407485 7952438830 8229362050 8347591070 8395200905 8536699642 8964648245 9040985590 9093440923 9279021350 9331943525 9410096605 9705221266 10133950190 10338170479 10549153550 11237141825 11521106870 11686627498 11753281267 11891880325 11993144150 12062727755 12367555538 12775305725 12806640350 12990629890 13064720935 13174135247 13442995150 13713899615 14319712225 14768814970 16648632455 16790401810 16887818857 17929296490 18186881846 18290609309 18663887050 18820193210 19199459461 19881097075 20676340958 20868977675 21341749105 22474283650 22602463975 23308085437 23506562534 23783760650 24125455510 24263053165 25334875475 25550611450 26129441870 26348270494 27427799230 28639424450 28802767175 29216568745 29878448747 30918888845 31363092163 32476574725 33297264910 33775637714 33968274431 36581218618 36922037425 38398918922 39762194150 41737955350 41976004525 42683498210 43286444383 44823241225 45204927950 45467204615 46616170874 47050483025 48526106330 50669750950 51690852395 55488547673 57605534350 58433137490 58766406335 59756897494 60313638775 61837777690 62726184326 63083938229 64953149450 65323604675 65870676235 67936548862 68569498075 73844074850 83243162275 83952009050 84439094285 86572888766 89646482450 90934409230 91453046545 94100966050 95997297305 98172045883 103381704790 106708745525 110977095346 116540427185 117532812670 118214731999 120627277550 121315265825 126167876458 130647209350 131741352470 134396216227 137138996150 146082843725 149392243735 154594444225 156815460815 166486324550 168878188570 169841372155 182906093090 191994594610 196344091766 209149141229 213417491050 216432221915 219541645141 227336023075 233080854370 236429463998 237777921017 242630531650 258454261975 268792432454 277442738365 292165687450 293832031675 298784487470 303005110681 309188888450 313630921630 315419691145 329353381175 339682744310 388419833711 418298282458 422195471425 432864443830 439083290282 441587567603 454672046150 457265232725 475555842034 479986486525 490860229415 516908523950 554885476730 582702135925 587664063350 591073659995 606010221362 630839382290 658706762350 671981081135 687204321181 721351119749 746961218675 776839667422 784077304075 844390942850 849206860775 883175135206 914530465450 959972973050 981720458830 1045745706145 1082161109575 1097708225705 1165404271850 1182147319990 1188889605085 1276236596479 1343962162270 1374408642362 1387213691825 1442702239498 1493922437350 1515025553405 1536791515987 1568154608150 1577098455725 1698413721550 1942099168555 2091491412290 2164322219150 2195416451410 2207937838015 2377779210170 2454301147075 2552473192958 2718938835977 2774427383650 2955368299975 3030051106810 3073583031974 3091112973221 3154196911450 3359905405675 3436021605905 3606755598745 3884198337110 4415875676030 4810430248267 4908602294150 5049457838243 5228728530725 5437877671954 5488541128525 5910736599950 5944448025425 6182225946442 6381182982395 6719810811350 6872043211810 7213511197490 7575127767025 7683957579935 8933656175353 9620860496534 9710495842775 10098915676486 10457457061450 10977082257050 11039689190075 11888896050850 12762365964790 13594694179885 15150255534050 15367915159870 15455564866105 16591075754227 17180108029525 17867312350706 18033777993725 19420991685550 22079378380150 24052151241335 25247289191215 27189388359770 30911129732210 31905914911975 33182151508454 34360216059050 35346204867701 36067555987450 38419787899675 44668280876765 48104302482670 50494578382430 62535593227471 63811829823950 67973470899425 70692409735402 76839575799350 77277824330525 82955378771135 89336561753530 116137530279589 120260756206675 125071186454942 126236445956075 135946941798850 154555648661050 165910757542270 176731024338505 223341404383825 232275060559178 240521512413350 252472891912150 312677966137355 353462048677010 414776893855675 446682808767650 580687651397945 625355932274710 812962711957123 829553787711350 883655121692525 1161375302795890 1563389830686775 1625925423914246 1767310243385050 2903438256989725 3126779661373550 4064813559785615 5806876513979450 8129627119571230 20324067798928075 40648135597856150
- Sum of all divisors σ(n): 99972940696256628
- Sum of proper divisors (its aliquot sum) s(n): 59324805098400478
- 40648135597856150 is an abundant number, because the sum of its proper divisors (59324805098400478) is greater than itself. Its abundance is 18676669500544328
Bases of 40648135597856150
- Binary: 100100000110100101000011100100110001011110010101100101102
- Hexadecimal: 0x90694393179596
- Base-36: B48K7PB7BME
Squares and roots of 40648135597856150
- 40648135597856150 squared (406481355978561502) is 1652270927581700348992476092822500
- 40648135597856150 cubed (406481355978561503) is 67161732708736514836317463307619646859402483375000
-
The
square root of 40648135597856150 is 201613827.8934660523 -
The
cube root of 40648135597856150 is 343832.4619032147
Scales and comparisons
How big is 40648135597856150?- 40,648,135,597,856,150 seconds is equal to 1,292,484,979 years, 3 weeks, 5 days, 14 hours, 15 minutes, 50 seconds.
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To count from 1 to 40,648,135,597,856,150 would take you about three billion, eight hundred seventy-seven million, four hundred fifty-four thousand, nine hundred thirty-seven 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 40648135597856150 cubic inches would be around 28652.7 feet tall.
Recreational maths with 40648135597856150
- 40648135597856150 backwards is 05165879553184604
- The number of decimal digits it has is: 17
- The sum of 40648135597856150's digits is 77
- More coming soon!
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The information we have on file for 40648135597856150 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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