42506407116800

Names of 42506407116800

• Cardinal: 42506407116800 can be written as Forty-two trillion, five hundred six billion, four hundred seven million, one hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 4.25064071168 × 10¹³

Factors of 42506407116800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 461

Divisors of 42506407116800

• Number of divisors d(n): 570
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 128 160 176 200 220 242 256 275 320 352 400 440 443 484 512 550 605 640 704 800 880 886 968 1024 1100 1210 1280 1331 1408 1600 1760 1772 1936 2048 2200 2215 2420 2560 2662 2816 3025 3200 3520 3544 3872 4096 4400 4430 4840 4873 5120 5324 5632 6050 6400 6655 7040 7088 7744 8192 8800 8860 9680 9746 10240 10648 11075 11264 12100 12800 13310 14080 14176 14641 15488 16384 17600 17720 19360 19492 20480 21296 22150 22528 24200 24365 25600 26620 28160 28352 29282 30976 32768 33275 35200 35440 38720 38984 40960 42592 44300 45056 48400 48730 51200 53240 53603 56320 56704 58564 61952 65536 66550 70400 70880 73205 77440 77968 81920 85184 88600 90112 96800 97460 102400 106480 107206 112640 113408 117128 121825 123904 131072 133100 140800 141760 146410 154880 155936 163840 170368 177200 180224 193600 194920 204800 212960 214412 225280 226816 234256 243650 247808 262144 266200 268015 281600 283520 292820 309760 311872 327680 340736 354400 360448 366025 387200 389840 409600 425920 428824 450560 453632 468512 487300 495616 532400 536030 563200 567040 585640 589633 619520 623744 655360 681472 708800 720896 732050 774400 779680 819200 851840 857648 901120 907264 937024 974600 991232 1064800 1072060 1126400 1134080 1171280 1179266 1239040 1247488 1310720 1340075 1362944 1417600 1441792 1464100 1548800 1559360 1638400 1703680 1715296 1802240 1814528 1874048 1949200 1982464 2129600 2144120 2252800 2268160 2342560 2358532 2478080 2494976 2680150 2725888 2835200 2883584 2928200 2948165 3097600 3118720 3276800 3407360 3430592 3604480 3629056 3748096 3898400 3964928 4259200 4288240 4505600 4536320 4685120 4717064 4956160 4989952 5360300 5451776 5670400 5856400 5896330 6195200 6237440 6485963 6553600 6814720 6861184 7208960 7258112 7496192 7796800 7929856 8518400 8576480 9011200 9072640 9370240 9434128 9912320 9979904 10720600 10903552 11340800 11712800 11792660 12390400 12474880 12971926 13629440 13722368 14417920 14516224 14740825 14992384 15593600 15859712 17036800 17152960 18022400 18145280 18740480 18868256 19824640 19959808 21441200 21807104 22681600 23425600 23585320 24780800 24949760 25943852 27258880 27444736 29032448 29481650 29984768 31187200 31719424 32429815 34073600 34305920 36044800 36290560 37480960 37736512 39649280 39919616 42882400 43614208 45363200 46851200 47170640 49561600 49899520 51887704 54517760 54889472 58064896 58963300 59969536 62374400 64859630 68147200 68611840 72089600 72581120 74961920 75473024 79298560 79839232 85764800 87228416 90726400 93702400 94341280 99123200 99799040 103775408 109035520 109778944 116129792 117926600 119939072 124748800 129719260 136294400 137223680 145162240 149923840 150946048 158597120 159678464 162149075 171529600 174456832 181452800 187404800 188682560 198246400 199598080 207550816 218071040 219557888 235853200 239878144 249497600 259438520 272588800 274447360 290324480 299847680 301892096 319356928 324298150 343059200 348913664 362905600 374809600 377365120 396492800 399196160 415101632 436142080 439115776 471706400 479756288 498995200 518877040 545177600 548894720 580648960 599695360 603784192 638713856 648596300 686118400 725811200 749619200 754730240 792985600 798392320 830203264 872284160 878231552 943412800 959512576 997990400 1037754080 1090355200 1097789440 1199390720 1207568384 1277427712 1297192600 1372236800 1451622400 1499238400 1509460480 1596784640 1660406528 1744568320 1756463104 1886825600 1919025152 1995980800 2075508160 2180710400 2195578880 2398781440 2415136768 2594385200 2744473600 2903244800 2998476800 3018920960 3193569280 3320813056 3512926208 3773651200 3838050304 3991961600 4151016320 4361420800 4391157760 4797562880 4830273536 5188770400 5488947200 5996953600 6037841920 6387138560 6641626112 7025852416 7547302400 7983923200 8302032640 8722841600 8782315520 9595125760 9660547072 10377540800 10977894400 11993907200 12075683840 13283252224 14051704832 15094604800 15967846400 16604065280 17564631040 19190251520 19321094144 20755081600 21955788800 23987814400 24151367680 26566504448 30189209600 31935692800 33208130560 35129262080 38642188288 41510163200 43911577600 47975628800 48302735360 53133008896 60378419200 66416261120 70258524160 77284376576 83020326400 87823155200 95951257600 96605470720 106266017792 120756838400 132832522240 154568753152 166040652800 175646310400 193210941440 212532035584 241513676800 265665044480 332081305600 351292620800 386421882880 425064071168 483027353600 531330088960 664162611200 772843765760 850128142336 966054707200 1062660177920 1328325222400 1700256284672 1932109414400 2125320355840 2656650444800 3864218828800 4250640711680 5313300889600 8501281423360 10626601779200 21253203558400 42506407116800
• Sum of all divisors σ(n): 116218290346140
• Sum of proper divisors (its aliquot sum) s(n): 73711883229340
• 42506407116800 is an abundant number, because the sum of its proper divisors (73711883229340) is greater than itself. Its abundance is 31205476112540

Bases of 42506407116800

• Binary: 1001101010100011001011010011000000000000000000₂
• Hexadecimal: 0x26A8CB4C0000
• Base-36: F2F69BBI8

Squares and roots of 42506407116800

• 42506407116800 squared (42506407116800²) is 1806794645979145688842240000
• 42506407116800 cubed (42506407116800³) is 76800348798444094812587828688453632000000
• The square root of 42506407116800 is 6519693.7901100847
• The cube root of 42506407116800 is 34899.4138200355

Scales and comparisons

• 42,506,407,116,800 seconds is equal to 1,351,572 years, 13 weeks, 5 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,506,407,116,800 would take you about three million, three hundred seventy-eight thousand, nine hundred thirty 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 42506407116800 cubic inches would be around 2908.3 feet tall.

Recreational maths with 42506407116800

• 42506407116800 backwards is 00861170460524
• 42506407116800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42506407116800's digits is 44
• More coming soon!