42513364566028800

Names of 42513364566028800

• Cardinal: 42513364566028800 can be written as Forty-two quadrillion, five hundred thirteen trillion, three hundred sixty-four billion, five hundred sixty-six million, twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 4.25133645660288 × 10¹⁶

Factors of 42513364566028800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 13593577

Divisors of 42513364566028800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 128 144 150 152 160 171 180 190 192 200 225 228 240 256 285 288 300 304 320 342 360 380 384 400 450 456 475 480 512 570 576 600 608 640 684 720 760 768 800 855 900 912 950 960 1140 1152 1200 1216 1280 1368 1425 1429 1440 1520 1536 1600 1710 1800 1824 1900 1920 2280 2304 2400 2432 2560 2736 2850 2858 2880 3040 3200 3420 3600 3648 3800 3840 4275 4287 4560 4608 4800 4864 5472 5700 5716 5760 6080 6400 6840 7145 7200 7296 7600 7680 8550 8574 9120 9600 9728 10944 11400 11432 11520 12160 12800 12861 13680 14290 14400 14592 15200 17100 17148 18240 19200 21435 21888 22800 22864 23040 24320 25722 27151 27360 28580 28800 29184 30400 34200 34296 35725 36480 38400 42870 43776 45600 45728 48640 51444 54302 54720 57160 57600 60800 64305 68400 68592 71450 72960 81453 85740 87552 91200 91456 102888 107175 108604 109440 114320 115200 121600 128610 135755 136800 137184 142900 145920 162906 171480 182400 182912 205776 214350 217208 218880 228640 243200 244359 257220 271510 273600 274368 285800 321525 325812 342960 364800 365824 407265 411552 428700 434416 437760 457280 488718 514440 543020 547200 548736 571600 643050 651624 678775 685920 729600 731648 814530 823104 857400 868832 914560 977436 1028880 1086040 1094400 1097472 1143200 1221795 1286100 1303248 1357550 1371840 1629060 1646208 1714800 1737664 1829120 1954872 2036325 2057760 2172080 2188800 2194944 2286400 2443590 2572200 2606496 2715100 2743680 3258120 3292416 3429600 3475328 3658240 3909744 4072650 4115520 4344160 4572800 4887180 5144400 5212992 5430200 5487360 6108975 6516240 6584832 6859200 6950656 7819488 8145300 8231040 8688320 9145600 9774360 10288800 10425984 10860400 10974720 12217950 13032480 13592119 13718400 13901312 15638976 16290600 16462080 17376640 18291200 19548720 20577600 20851968 21720800 24435900 26064960 27184238 27436800 31277952 32581200 32924160 34753280 39097440 40776357 41155200 41703936 43441600 48871800 52129920 54368476 54873600 62555904 65162400 67960595 69506560 78194880 81552714 82310400 86883200 97743600 104259840 108736952 122329071 125111808 130324800 135921190 156389760 163105428 164620800 173766400 195487200 203881785 208519680 217473904 244658142 258250261 260649600 271842380 312779520 326210856 339802975 347532800 390974400 407763570 434947808 489316284 516500522 521299200 543684760 611645355 625559040 652421712 679605950 774750783 781948800 815527140 869895616 978632568 1019408925 1033001044 1042598400 1087369520 1223290710 1291251305 1304843424 1359211900 1549501566 1563897600 1631054280 1739791232 1957265136 2038817850 2066002088 2174739040 2324252349 2446581420 2582502610 2609686848 2718423800 3058226775 3099003132 3127795200 3262108560 3479582464 3873753915 3914530272 4077635700 4132004176 4349478080 4648504698 4893162840 5165005220 5219373696 5436847600 6116453550 6198006264 6456256525 6524217120 6959164928 7747507830 7829060544 8155271400 8264008352 8698956160 9297009396 9786325680 10330010440 10438747392 10873695200 11621261745 12232907100 12396012528 12912513050 13048434240 15495015660 15658121088 16310542800 16528016704 17397912320 18594018792 19368769575 19423138051 19572651360 20660020880 20877494784 21747390400 23242523490 24465814200 24792025056 25825026100 26096868480 30990031320 31316242176 32621085600 33056033408 34795824640 37188037584 38737539150 38846276102 39145302720 41320041760 43494780800 46485046980 48931628400 49584050112 51650052200 52193736960 58106308725 58269414153 61980062640 62632484352 65242171200 66112066816 74376075168 77475078300 77692552204 78290605440 82640083520 86989561600 92970093960 97115690255 97863256800 99168100224 103300104400 104387473920 116212617450 116538828306 123960125280 130484342400 132224133632 148752150336 154950156600 155385104408 156581210880 165280167040 173979123200 174808242459 185940187920 194231380510 195726513600 198336200448 206600208800 232425234900 233077656612 247920250560 260968684800 291347070765 297504300672 309900313200 310770208816 313162421760 330560334080 349616484918 369039622969 371880375840 388462761020 391453027200 396672400896 413200417600 464850469800 466155313224 485578451275 495840501120 521937369600 582694141530 595008601344 619800626400 621540417632 661120668160 699232969836 738079245938 743760751680 776925522040 782906054400 826400835200 874041212295 929700939600 932310626448 971156902550 991681002240 1107118868907 1165388283060 1190017202688 1239601252800 1243080835264 1398465939672 1456735353825 1476158491876 1487521503360 1553851044080 1565812108800 1652801670400 1748082424590 1845198114845 1859401879200 1864621252896 1942313805100 1983362004480 2214237737814 2330776566120 2479202505600 2486161670528 2796931879344 2913470707650 2952316983752 2975043006720 3107702088160 3305603340800 3321356606721 3496164849180 3690396229690 3718803758400 3729242505792 3884627610200 4370206061475 4428475475628 4661553132240 4958405011200 4972323341056 5535594344535 5593863758688 5826941415300 5904633967504 5950086013440 6215404176320 6642713213442 6992329698360 7380792459380 7437607516800 7458485011584 7769255220400 8740412122950 8856950951256 9225990574225 9323106264480 9916810022400 9944646682112 11071188689070 11187727517376 11653882830600 11809267935008 12430808352640 13285426426884 13984659396720 14761584918760 14875215033600 14916970023168 15538510440800 16606783033605 17480824245900 17713901902512 18451981148450 18646212528960 22142377378140 22375455034752 23307765661200 23618535870016 24861616705280 26570852853768 27677971722675 27969318793440 29523169837520 29750430067200 29833940046336 31077020881600 33213566067210 34961648491800 35427803805024 36903962296900 37292425057920 44284754756280 44750910069504 46615531322400 47237071740032 49723233410560 53141705707536 55355943445350 55938637586880 59046339675040 62154041763200 66427132134420 69923296983600 70855607610048 73807924593800 74584850115840 83033915168025 88569509512560 89501820139008 93231062644800 94474143480064 106283411415072 110711886890700 111877275173760 118092679350080 124308083526400 132854264268840 139846593967200 141711215220096 147615849187600 149169700231680 166067830336050 177139019025120 186462125289600 188948286960128 212566822830144 221423773781400 223754550347520 236185358700160 248616167052800 265708528537680 279693187934400 283422430440192 295231698375200 332135660672100 354278038050240 372924250579200 425133645660288 442847547562800 447509100695040 472370717400320 531417057075360 559386375868800 566844860880384 590463396750400 664271321344200 708556076100480 745848501158400 850267291320576 885695095125600 944741434800640 1062834114150720 1118772751737600 1180926793500800 1328542642688400 1417112152200960 1700534582641152 1771390190251200 2125668228301440 2237545503475200 2361853587001600 2657085285376800 2834224304401920 3542780380502400 4251336456602880 4723707174003200 5314170570753600 7085560761004800 8502672913205760 10628341141507200 14171121522009600 21256682283014400 42513364566028800
• Sum of all divisors σ(n): 160263238000008000
• Sum of proper divisors (its aliquot sum) s(n): 117749873433979200
• 42513364566028800 is an abundant number, because the sum of its proper divisors (117749873433979200) is greater than itself. Its abundance is 75236508867950400

Bases of 42513364566028800

• Binary: 10010111000010011010111000001001001010100011001000000000₂
• Hexadecimal: 0x9709AE092A3200
• Base-36: BMLQA282GW0

Squares and roots of 42513364566028800

• 42513364566028800 squared (42513364566028800²) is 1807386166724073138155002429440000
• 42513364566028800 cubed (42513364566028800³) is 76838067017537831972432956205777275293007872000000
• The square root of 42513364566028800 is 206187692.5668183523
• The cube root of 42513364566028800 is 349013.1782831477

Scales and comparisons

• 42,513,364,566,028,800 seconds is equal to 1,351,793,490 years, 37 weeks, 6 days, 8 hours.
• To count from 1 to 42,513,364,566,028,800 would take you about four billion, fifty-five million, three hundred eighty thousand, four hundred seventy-two 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 42513364566028800 cubic inches would be around 29084.4 feet tall.

Recreational maths with 42513364566028800

• 42513364566028800 backwards is 00882066546331524
• The number of decimal digits it has is: 17
• The sum of 42513364566028800's digits is 63
• More coming soon!