42642675290068800

Names of 42642675290068800

• Cardinal: 42642675290068800 can be written as Forty-two quadrillion, six hundred forty-two trillion, six hundred seventy-five billion, two hundred ninety million, sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 4.26426752900688 × 10¹⁶

Factors of 42642675290068800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 298

Divisors of 42642675290068800

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 139 149 150 160 192 200 240 278 298 300 320 400 417 447 480 556 596 600 695 745 800 834 894 960 1112 1192 1200 1390 1490 1600 1668 1788 2085 2224 2235 2384 2400 2780 2980 3336 3475 3576 3725 4170 4448 4470 4768 4800 5560 5960 6672 6950 7152 7450 8340 8896 8940 9536 10425 11120 11175 11920 13344 13900 14304 14900 16680 17880 19321 20711 20850 22201 22240 22350 23840 26688 27800 28608 29800 33360 35760 38642 41422 41700 44402 44480 44700 47680 55600 57963 59600 62133 66603 66720 71520 77284 82844 83400 88804 89400 96605 103555 111005 111200 115926 119200 124266 133206 133440 143040 154568 165688 166800 177608 178800 193210 207110 222010 222400 231852 238400 248532 266412 289815 309136 310665 331376 333015 333600 355216 357600 386420 414220 444020 463704 483025 497064 517775 532824 555025 579630 618272 621330 662752 666030 667200 710432 715200 772840 828440 888040 927408 966050 994128 1035550 1065648 1110050 1159260 1236544 1242660 1325504 1332060 1420864 1449075 1545680 1553325 1656880 1665075 1776080 1854816 1932100 1988256 2071100 2131296 2220100 2318520 2485320 2664120 2685619 2878829 2898150 3085939 3091360 3106650 3307949 3313760 3330150 3552160 3709632 3864200 3976512 4142200 4262592 4440200 4637040 4970640 5328240 5371238 5757658 5796300 6171878 6182720 6213300 6615898 6627520 6660300 7104320 7728400 8056857 8284400 8636487 8880400 9257817 9274080 9923847 9941280 10656480 10742476 11515316 11592600 12343756 12426600 13231796 13320600 13428095 14394145 15429695 15456800 16113714 16539745 16568800 17272974 17760800 18515634 18548160 19847694 19882560 21312960 21484952 23030632 23185200 24687512 24853200 26463592 26641200 26856190 28788290 30859390 30913600 32227428 33079490 33137600 34545948 35521600 37031268 39695388 40284285 42969904 43182435 46061264 46289085 46370400 49375024 49619235 49706400 52927184 53282400 53712380 57576580 61718780 64454856 66158980 67140475 69091896 71970725 74062536 77148475 79390776 80568570 82698725 85939808 86364870 92122528 92578170 92740800 98750048 99238470 99412800 105854368 106564800 107424760 115153160 123437560 128909712 132317960 134280950 138183792 143941450 148125072 154296950 158781552 161137140 165397450 171879616 172729740 184245056 185156340 197500096 198476940 201421425 211708736 214849520 215912175 230306320 231445425 246875120 248096175 257819424 264635920 268561900 276367584 287882900 296250144 308593900 317563104 322274280 330794900 345459480 370312680 396953880 400157231 402842850 428945521 429699040 431824350 459804911 460612640 462890850 493750240 496192350 515638848 529271840 537123800 552735168 575765800 592500288 617187800 635126208 644548560 661589800 690918960 740625360 793907760 800314462 805685700 857891042 859398080 863648700 919609822 921225280 925781700 987500480 992384700 1058543680 1074247600 1151531600 1200471693 1234375600 1286836563 1289097120 1323179600 1379414733 1381837920 1481250720 1587815520 1600628924 1611371400 1715782084 1727297400 1839219644 1851563400 1984769400 2000786155 2144727605 2148495200 2299024555 2303063200 2400943386 2468751200 2573673126 2578194240 2646359200 2758829466 2763675840 2962501440 3175631040 3201257848 3222742800 3431564168 3454594800 3678439288 3703126800 3969538800 4001572310 4289455210 4296990400 4598049110 4606126400 4801886772 4937502400 5147346252 5292718400 5517658932 6002358465 6402515696 6434182815 6445485600 6863128336 6897073665 6909189600 7356878576 7406253600 7939077600 8003144620 8578910420 9196098220 9603773544 10003930775 10294692504 10723638025 11035317864 11495122775 12004716930 12805031392 12868365630 12890971200 13726256672 13794147330 13818379200 14713757152 14812507200 15878155200 16006289240 17157820840 18392196440 19207547088 20007861550 20589385008 21447276050 22070635728 22990245550 24009433860 25610062784 25736731260 27452513344 27588294660 29427514304 30011792325 32012578480 32170914075 34315641680 34485368325 36784392880 38415094176 40015723100 41178770016 42894552100 44141271456 45980491100 48018867720 51473462520 55176589320 59623427419 60023584650 63912882629 64025156960 64341828150 68631283360 68970736650 73568785760 76830188352 80031446200 82357540032 85789104200 88282542912 91960982200 96037735440 102946925040 110353178640 119246854838 120047169300 127825765258 128050313920 128683656300 137262566720 137941473300 147137571520 160062892400 171578208400 178870282257 183921964400 191738647887 192075470880 205893850080 220706357280 238493709676 240094338600 255651530516 257367312600 275882946600 298117137095 319564413145 320125784800 343156416800 357740564514 367843928800 383477295774 384150941760 411787700160 441412714560 476987419352 480188677200 511303061032 514734625200 551765893200 596234274190 639128826290 640251569600 686312833600 715481129028 735687857600 766954591548 894351411285 953974838704 958693239435 960377354400 1022606122064 1029469250400 1103531786400 1192468548380 1278257652580 1430962258056 1490585685475 1533909183096 1597822065725 1788702822570 1907949677408 1917386478870 1920754708800 2045212244128 2058938500800 2207063572800 2384937096760 2556515305160 2861924516112 2981171370950 3067818366192 3195644131450 3577405645140 3815899354816 3834772957740 4090424488256 4471757056425 4769874193520 4793466197175 5113030610320 5723849032224 5962342741900 6135636732384 6391288262900 7154811290280 7669545915480 8883890685431 8943514112850 9539748387040 9586932394350 10226061220640 11447698064448 11924685483800 12271273464768 12782576525800 14309622580560 15339091830960 17767781370862 17887028225700 19079496774080 19173864788700 20452122441280 23849370967600 25565153051600 26651672056293 28619245161120 30678183661920 35535562741724 35774056451400 38347729577400 44419453427155 47698741935200 51130306103200 53303344112586 57238490322240 61356367323840 71071125483448 71548112902800 76695459154800 88838906854310 95397483870400 102260612206400 106606688225172 133258360281465 142142250966896 143096225805600 153390918309600 177677813708620 213213376450344 222097267135775 266516720562930 284284501933792 286192451611200 306781836619200 355355627417240 426426752900688 444194534271550 533033441125860 568569003867584 666291801407325 710711254834480 852853505801376 888389068543100 1066066882251720 1332583602814650 1421422509668960 1705707011602752 1776778137086200 2132133764503440 2665167205629300 2842845019337920 3553556274172400 4264267529006880 5330334411258600 7107112548344800 8528535058013760 10660668822517200 14214225096689600 21321337645034400 42642675290068800
• Sum of all divisors σ(n): 141869447347152000
• Sum of proper divisors (its aliquot sum) s(n): 99226772057083200
• 42642675290068800 is an abundant number, because the sum of its proper divisors (99226772057083200) is greater than itself. Its abundance is 56584096767014400

Bases of 42642675290068800

• Binary: 10010111011111110100100110001000111011111101011101000000₂
• Hexadecimal: 0x977F4988EFD740
• Base-36: BNVKEL6GHMO

Squares and roots of 42642675290068800

• 42642675290068800 squared (42642675290068800²) is 1818397755894244216219908733440000
• 42642675290068800 cubed (42642675290068800³) is 77541345052788045457831643355593014418460672000000
• The square root of 42642675290068800 is 206501029.7554682897
• The cube root of 42642675290068800 is 349366.6786212905

Scales and comparisons

• 42,642,675,290,068,800 seconds is equal to 1,355,905,171 years, 39 weeks, 6 days, 22 hours, 40 minutes.
• To count from 1 to 42,642,675,290,068,800 would take you about four billion, sixty-seven million, seven hundred fifteen thousand, five hundred fifteen 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 42642675290068800 cubic inches would be around 29113.9 feet tall.

Recreational maths with 42642675290068800

• 42642675290068800 backwards is 00886009257624624
• The number of decimal digits it has is: 17
• The sum of 42642675290068800's digits is 69
• More coming soon!