40638866778125000

Names of 40638866778125000

• Cardinal: 40638866778125000 can be written as Forty quadrillion, six hundred thirty-eight trillion, eight hundred sixty-six billion, seven hundred seventy-eight million, one hundred twenty-five thousand.

Scientific notation

• Scientific notation: 4.0638866778125 × 10¹⁶

Factors of 40638866778125000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1506

Divisors of 40638866778125000

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 121 125 140 154 175 196 200 220 242 245 250 275 280 308 350 385 392 440 484 490 500 539 550 605 616 625 700 770 847 875 968 980 1000 1078 1100 1210 1225 1250 1375 1400 1481 1540 1694 1750 1925 1960 2156 2200 2420 2450 2500 2695 2750 2962 3025 3080 3125 3388 3500 3850 4235 4312 4375 4840 4900 5000 5390 5500 5924 5929 6050 6125 6250 6776 6875 7000 7405 7700 8470 8750 9625 9800 10367 10780 11000 11848 11858 12100 12250 12500 13475 13750 14810 15125 15400 15625 16291 16940 17500 19250 20734 21175 21560 21875 23716 24200 24500 25000 26950 27500 29620 29645 30250 30625 31250 32582 33880 34375 35000 37025 38500 41468 42350 43750 47432 48125 49000 51835 53900 55000 59240 59290 60500 61250 62500 65164 67375 68750 72569 74050 75625 77000 78125 81455 82936 84700 87500 96250 103670 105875 107800 109375 114037 118580 121000 122500 125000 130328 134750 137500 145138 148100 148225 151250 153125 156250 162910 169400 171875 175000 179201 185125 192500 207340 211750 218750 228074 237160 240625 245000 259175 269500 275000 290276 296200 296450 302500 306250 312500 325820 336875 343750 358402 362845 370250 378125 385000 390625 407275 414680 423500 437500 456148 481250 518350 529375 539000 546875 570185 580552 592900 605000 612500 625000 651640 673750 687500 716804 725690 740500 741125 756250 765625 781250 798259 814550 847000 859375 875000 896005 912296 925625 962500 1036700 1058750 1093750 1140370 1185800 1203125 1225000 1254407 1295875 1347500 1375000 1433608 1451380 1481000 1482250 1512500 1531250 1562500 1596518 1629100 1684375 1718750 1792010 1814225 1851250 1890625 1925000 2036375 2073400 2117500 2187500 2193361 2280740 2406250 2508814 2591750 2646875 2695000 2734375 2850925 2902760 2964500 3025000 3062500 3125000 3193036 3258200 3368750 3437500 3584020 3628450 3702500 3705625 3781250 3828125 3991295 4072750 4235000 4296875 4375000 4386722 4480025 4561480 4628125 4812500 5017628 5183500 5293750 5468750 5701850 5929000 6015625 6125000 6272035 6386072 6479375 6737500 6875000 7168040 7256900 7405000 7411250 7562500 7656250 7982590 8145500 8421875 8593750 8773444 8780849 8960050 9071125 9256250 9453125 9625000 10035256 10181875 10367000 10587500 10937500 10966805 11403700 12031250 12544070 12958750 13234375 13475000 14254625 14513800 14822500 15125000 15312500 15353527 15965180 16291000 16843750 17187500 17546888 17561698 17920100 18142250 18512500 18528125 18906250 19140625 19956475 20363750 21175000 21875000 21933610 22400125 22807400 23140625 24062500 24126971 25088140 25917500 26468750 28509250 29645000 30078125 30625000 30707054 31360175 31930360 32396875 33687500 34375000 35123396 35840200 36284500 37025000 37056250 37812500 38281250 39912950 40727500 42109375 43867220 43904245 44800250 45355625 46281250 47265625 48125000 48253942 50176280 50909375 51835000 52937500 54834025 57018500 60156250 61414108 62720350 64793750 66171875 67375000 70246792 71273125 72569000 74112500 75625000 76562500 76767635 79825900 81455000 84218750 87734440 87808490 89600500 90711250 92562500 92640625 94531250 96507884 99782375 101818750 105875000 107474689 109668050 112000625 114037000 115703125 120312500 120634855 122828216 125440700 129587500 132343750 142546250 148225000 153125000 153535270 156800875 159651800 161984375 168437500 168888797 175616980 179201000 181422500 185125000 185281250 189062500 193015768 199564750 203637500 210546875 214949378 219336100 219521225 224001250 226778125 231406250 240625000 241269710 250881400 254546875 259175000 264687500 265396681 274170125 285092500 307070540 313601750 323968750 330859375 336875000 337777594 351233960 356365625 362845000 370562500 378125000 383838175 399129500 407275000 421093750 429898756 438672200 439042450 448002500 453556250 462812500 463203125 482539420 498911875 509093750 529375000 530793362 537373445 548340250 560003125 570185000 578515625 603174275 614141080 627203500 647937500 661718750 675555188 712731250 741125000 767676350 784004375 798259000 809921875 842187500 844443985 859797512 878084900 896005000 907112500 925625000 926406250 965078840 997823750 1018187500 1061586724 1074746890 1096680500 1097606125 1120006250 1133890625 1157031250 1182221579 1206348550 1254407000 1272734375 1295875000 1323437500 1326983405 1351110376 1370850625 1425462500 1535352700 1568008750 1619843750 1684375000 1688887970 1756169800 1781828125 1814225000 1852812500 1857776767 1919190875 1995647500 2036375000 2123173448 2149493780 2193361000 2195212250 2240012500 2267781250 2314062500 2316015625 2364443158 2412697100 2494559375 2545468750 2646875000 2653966810 2686867225 2741701250 2800015625 2850925000 3015871375 3070705400 3136017500 3239687500 3377775940 3563656250 3705625000 3715553534 3838381750 3920021875 3991295000 4049609375 4222219925 4298987560 4390424500 4480025000 4535562500 4628125000 4632031250 4728886316 4825394200 4989118750 5090937500 5307933620 5373734450 5483402500 5488030625 5600031250 5669453125 5911107895 6031742750 6272035000 6363671875 6479375000 6634917025 6755551880 6854253125 7127312500 7431107068 7676763500 7840043750 8099218750 8444439850 8780849000 8909140625 9071125000 9264062500 9288883835 9457772632 9595954375 9978237500 10181875000 10615867240 10747468900 10966805000 10976061250 11200062500 11338906250 11822215790 12063485500 12472796875 12727343750 13004437369 13269834050 13434336125 13708506250 14000078125 14254625000 14862214136 15079356875 15353527000 15680087500 16198437500 16888879700 17818281250 18528125000 18577767670 19191908750 19600109375 19956475000 21111099625 21494937800 21952122500 22400125000 22677812500 23644431580 24126971000 24945593750 25454687500 26008874738 26539668100 26868672250 27417012500 27440153125 28000156250 28347265625 29555539475 30158713750 31360175000 32396875000 33174585125 33777759400 34271265625 35636562500 37155535340 38383817500 39200218750 42222199250 43904245000 44545703125 45355625000 46444419175 47288863160 47979771875 49891187500 50909375000 52017749476 53079336200 53737344500 54834025000 54880306250 56000312500 56694531250 59111078950 60317427500 62363984375 65022186845 66349170250 67171680625 68542531250 70000390625 71273125000 74311070680 75396784375 76767635000 78400437500 84444398500 89091406250 92888838350 95959543750 98000546875 99782375000 104035498952 105555498125 107474689000 109760612500 112000625000 113389062500 118222157900 120634855000 124727968750 130044373690 132698340500 134343361250 137085062500 137200765625 140000781250 147777697375 150793568750 156800875000 165872925625 168888797000 171356328125 178182812500 185777676700 191919087500 196001093750 211110996250 219521225000 226778125000 232222095875 236444315800 239898859375 249455937500 260088747380 265396681000 268686722500 274170125000 274401531250 280001562500 295555394750 301587137500 311819921875 325110934225 331745851250 335858403125 342712656250 356365625000 371555353400 376983921875 383838175000 392002187500 422221992500 464444191750 479797718750 490002734375 498911875000 520177494760 527777490625 537373445000 548803062500 560003125000 591110789500 603174275000 623639843750 650221868450 663491702500 671716806250 685425312500 686003828125 738888486875 753967843750 784004375000 829364628125 844443985000 856781640625 928888383500 959595437500 980005468750 1055554981250 1097606125000 1161110479375 1182221579000 1199494296875 1247279687500 1300443736900 1326983405000 1343433612500 1370850625000 1372007656250 1477776973750 1507935687500 1625554671125 1658729256250 1679292015625 1713563281250 1857776767000 1884919609375 1919190875000 1960010937500 2111109962500 2322220958750 2398988593750 2494559375000 2600887473800 2638887453125 2686867225000 2744015312500 2955553947500 3015871375000 3251109342250 3317458512500 3358584031250 3427126562500 3430019140625 3694442434375 3769839218750 3920021875000 4146823140625 4222219925000 4644441917500 4797977187500 5277774906250 5488030625000 5805552396875 5911107895000 5997471484375 6502218684500 6634917025000 6717168062500 6854253125000 6860038281250 7388884868750 7539678437500 8127773355625 8293646281250 8396460078125 9288883835000 9424598046875 9595954375000 10555549812500 11611104793750 11994942968750 13004437369000 13194437265625 13434336125000 13720076562500 14777769737500 15079356875000 16255546711250 16587292562500 16792920156250 18472212171875 18849196093750 20734115703125 21111099625000 23222209587500 23989885937500 26388874531250 27440153125000 29027761984375 29555539475000 32511093422500 33174585125000 33585840312500 36944424343750 37698392187500 40638866778125 41468231406250 41982300390625 46444419175000 47979771875000 52777749062500 58055523968750 65022186845000 65972186328125 67171680625000 73888848687500 75396784375000 81277733556250 82936462812500 83964600781250 92361060859375 103670578515625 105555498125000 116111047937500 131944372656250 145138809921875 147777697375000 162555467112500 165872925625000 167929201562500 184722121718750 203194333890625 207341157031250 232222095875000 263888745312500 290277619843750 325110934225000 335858403125000 369444243437500 406388667781250 414682314062500 461805304296875 527777490625000 580555239687500 725694049609375 738888486875000 812777335562500 829364628125000 923610608593750 1015971669453125 1161110479375000 1451388099218750 1625554671125000 1847221217187500 2031943338906250 2902776198437500 3694442434375000 4063886677812500 5079858347265625 5805552396875000 8127773355625000 10159716694531250 20319433389062500 40638866778125000
• Sum of all divisors σ(n): 121868380838220345
• Sum of proper divisors (its aliquot sum) s(n): 81229514060095345
• 40638866778125000 is an abundant number, because the sum of its proper divisors (81229514060095345) is greater than itself. Its abundance is 40590647281970345

Bases of 40638866778125000

• Binary: 10010000011000001101010110000010011000100111001011001000₂
• Hexadecimal: 0x9060D5826272C8
• Base-36: B459XNZ8Z48

Squares and roots of 40638866778125000

• 40638866778125000 squared (40638866778125000²) is 1651517493010191817978515625000000
• 40638866778125000 cubed (40638866778125000³) is 67115799380184171173680795727813720703125000000000
• The square root of 40638866778125000 is 201590840.0154258001
• The cube root of 40638866778125000 is 343806.3257034915

Scales and comparisons

• 40,638,866,778,125,000 seconds is equal to 1,292,190,259 years, 14 weeks, 2 days, 10 hours, 43 minutes, 20 seconds.
• To count from 1 to 40,638,866,778,125,000 would take you about three billion, eight hundred seventy-six million, five hundred seventy thousand, seven hundred seventy-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 40638866778125000 cubic inches would be around 28650.5 feet tall.

Recreational maths with 40638866778125000

• 40638866778125000 backwards is 00052187766883604
• The number of decimal digits it has is: 17
• The sum of 40638866778125000's digits is 71
• More coming soon!