40648131004000

Names of 40648131004000

• Cardinal: 40648131004000 can be written as Forty trillion, six hundred forty-eight billion, one hundred thirty-one million, four thousand.

Scientific notation

• Scientific notation: 4.0648131004 × 10¹³

Factors of 40648131004000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3554

Divisors of 40648131004000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 53 65 76 80 95 100 104 106 125 130 152 160 190 200 208 212 241 247 250 260 265 304 325 380 400 416 424 475 482 494 500 520 530 608 650 689 760 800 848 950 964 988 1000 1007 1040 1060 1205 1235 1300 1325 1378 1520 1625 1696 1900 1928 1976 2000 2014 2080 2120 2375 2410 2470 2600 2650 2756 3040 3133 3221 3250 3445 3800 3856 3952 4000 4028 4240 4579 4750 4820 4940 5035 5200 5300 5512 6025 6175 6266 6442 6500 6625 6890 7600 7712 7904 8056 8480 9158 9500 9640 9880 10070 10400 10600 11024 12050 12350 12532 12773 12884 13000 13091 13250 13780 15200 15665 16105 16112 17225 18316 19000 19280 19760 20140 21200 22048 22895 24100 24700 25064 25175 25546 25768 26000 26182 26500 27560 30125 30875 31330 32210 32224 34450 36632 38000 38560 39520 40280 41873 42400 45790 48200 49400 50128 50350 51092 51536 52000 52364 53000 55120 59527 60250 61199 61750 62660 63865 64420 65455 68900 73264 76000 78325 80525 80560 83746 86125 91580 96400 98800 100256 100700 102184 103072 104728 106000 110240 114475 119054 120500 122398 123500 125320 125875 127730 128840 130910 137800 146528 156650 161050 161120 166049 167492 170713 172250 183160 192800 197600 201400 204368 209365 209456 212000 228950 238108 241000 242687 244796 247000 250640 251750 255460 257680 261820 275600 297635 305995 313300 319325 322100 327275 332098 334984 341426 344500 366320 391625 402625 402800 408736 418730 418912 457900 476216 482000 485374 489592 494000 501280 503500 510920 515360 523640 551200 572375 595270 611990 626600 638650 644200 654550 664196 669968 682852 689000 732640 776261 783250 795587 805250 805600 830245 837460 853565 915800 952432 964000 970748 979184 988000 1007000 1021840 1046825 1047280 1144750 1190540 1213435 1223980 1253200 1277300 1288400 1309100 1328392 1339936 1365704 1378000 1488175 1529975 1552522 1566500 1591174 1596625 1610500 1636375 1660490 1674920 1707130 1831600 1904864 1941496 1958368 2014000 2043680 2093650 2094560 2219269 2289500 2381080 2426870 2447960 2506400 2554600 2576800 2618200 2656784 2731408 2756000 2976350 3059950 3105044 3133000 3154931 3182348 3193250 3221000 3243547 3272750 3320980 3349840 3414260 3663200 3881305 3882992 3977935 4028000 4151225 4187300 4267825 4438538 4579000 4762160 4853740 4895920 5109200 5234125 5236400 5313568 5462816 5952700 6067175 6119900 6210088 6266000 6309862 6364696 6386500 6442000 6487094 6545500 6641960 6699680 6828520 7440875 7649875 7762610 7765984 7955870 8302450 8374600 8535650 8877076 9158000 9524320 9707480 9791840 10091393 10218400 10468250 10472800 11096345 11905400 12134350 12239800 12420176 12532000 12619724 12729392 12773000 12884000 12974188 13091000 13283920 13657040 14748959 14881750 15299750 15525220 15774655 15911740 16217735 16604900 16749200 17071300 17754152 18316000 19406525 19414960 19889675 20182786 20756125 20936500 21339125 22192690 23810800 24268700 24479600 24840352 25239448 25458784 25546000 25948376 26182000 26567840 27314080 29497918 29763500 30335875 30599500 31050440 31549310 31823480 32435470 33209800 33498400 34142600 35508304 38813050 38829920 39779350 40365572 41141833 41512250 41873000 42166111 42678250 44385380 47621600 48537400 48959200 50456965 50478896 51092000 51896752 52364000 55481725 58995836 59527000 60671750 61199000 62100880 63098620 63646960 64870940 66419600 68285200 71016608 73744795 77626100 78873275 79558700 80731144 81088675 82283666 83024500 83746000 84332222 85356500 88770760 97032625 97074800 99448375 100913930 100957792 103793504 110963450 117991672 119054000 121343500 122398000 124201760 126197240 127293920 129741880 132839200 136570400 147489590 155252200 157746550 159117400 161462288 162177350 164567332 166049000 167492000 168664444 170713000 177541520 191736467 194065250 194149600 198896750 201827860 205709165 210830555 221926900 235983344 238108000 242687000 244796000 252284825 252394480 259483760 277408625 294979180 310504400 315493100 318234800 322924576 324354700 329134664 332098000 337328888 341426000 355083040 368723975 383472934 388130500 394366375 397793500 403655720 405443375 411418330 421661110 443853800 471966688 485374000 504569650 504788960 518967520 534843829 554817250 589958360 621008800 630986200 636469600 648709400 658269328 664196000 674657776 682852000 737447950 766945868 776261000 781694827 788732750 795587000 807311440 810886750 822836660 843322220 887707600 958682335 970748000 1009139300 1028545825 1054152775 1069687658 1109634500 1179916720 1261424125 1261972400 1297418800 1316538656 1349315552 1474895900 1533891736 1552522000 1563389654 1577465500 1591174000 1614622880 1621773500 1645673320 1686644440 1775415200 1843619875 1917364670 2018278600 2057091650 2108305550 2139375316 2219269000 2359833440 2522848250 2523944800 2594837600 2674219145 2949791800 3067783472 3105044000 3126779308 3154931000 3182348000 3243547000 3291346640 3373288880 3687239750 3834729340 3908474135 4036557200 4114183300 4216611100 4278750632 4438538000 4793411675 5045696500 5142729125 5270763875 5348438290 5899583600 6135566944 6253558616 6309862000 6487094000 6582693280 6746577760 7374479500 7669458680 7816948270 8073114400 8228366600 8433222200 8557501264 8877076000 9586823350 10091393000 10162032751 10285458250 10541527750 10696876580 11799167200 12507117232 12619724000 12974188000 13371095725 14748959000 15338917360 15633896540 16456733200 16866444400 17115002528 19173646700 19542370675 20182786000 20324065502 20570916500 21083055500 21393753160 23967058375 25014234464 26742191450 29497918000 30677834720 31267793080 32913466400 33732888800 38347293400 39084741350 40365572000 40648131004 41141833000 42166111000 42787506320 47934116750 50810163755 53484382900 58995836000 62535586160 66855478625 76694586800 78169482700 81296262008 82283666000 84332222000 85575012640 95868233500 97711853375 101620327510 106968765800 125071172320 133710957250 153389173600 156338965400 162592524016 164567332000 168664444000 191736467000 195423706750 203240655020 213937531600 254050818775 267421914500 312677930800 325185048032 383472934000 390847413500 406481310040 427875063200 508101637550 534843829000 625355861600 766945868000 781694827000 812962620080 1016203275100 1069687658000 1270254093875 1563389654000 1625925240160 2032406550200 2139375316000 2540508187750 3126779308000 4064813100400 5081016375500 8129626200800 10162032751000 20324065502000 40648131004000
• Sum of all divisors σ(n): 115866487376640
• Sum of proper divisors (its aliquot sum) s(n): 75218356372640
• 40648131004000 is an abundant number, because the sum of its proper divisors (75218356372640) is greater than itself. Its abundance is 34570225368640

Bases of 40648131004000

• Binary: 1001001111100000100001011010001100011001100000₂
• Hexadecimal: 0x24F82168C660
• Base-36: EEPHRP274

Squares and roots of 40648131004000

• 40648131004000 squared (40648131004000²) is 1652270554118346048016000000
• 40648131004000 cubed (40648131004000³) is 67161709937854201879560042288064000000000
• The square root of 40648131004000 is 6375588.6790162365
• The cube root of 40648131004000 is 34383.2448950453

Scales and comparisons

• 40,648,131,004,000 seconds is equal to 1,292,484 years, 43 weeks, 2 days, 5 hours, 6 minutes, 40 seconds.
• To count from 1 to 40,648,131,004,000 would take you about three million, two hundred thirty-one thousand, two hundred twelve 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 40648131004000 cubic inches would be around 2865.3 feet tall.

Recreational maths with 40648131004000

• 40648131004000 backwards is 00040013184604
• The number of decimal digits it has is: 14
• The sum of 40648131004000's digits is 31
• More coming soon!