642146615398400

Names of 642146615398400

• Cardinal: 642146615398400 can be written as Six hundred forty-two trillion, one hundred forty-six billion, six hundred fifteen million, three hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 6.421466153984 × 10¹⁴

Factors of 642146615398400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 116

Divisors of 642146615398400

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 79 80 92 100 112 115 128 140 158 160 161 175 184 200 224 230 256 280 316 320 322 350 368 395 400 448 460 512 553 560 575 632 640 644 700 736 790 800 805 896 920 1024 1106 1120 1150 1264 1280 1288 1400 1472 1580 1600 1610 1792 1817 1840 1975 2048 2212 2240 2300 2528 2560 2576 2765 2800 2944 3160 3200 3220 3584 3634 3680 3950 4025 4096 4424 4480 4600 5056 5120 5152 5530 5600 5888 6241 6320 6400 6440 7168 7268 7360 7900 8050 8848 8960 9085 9200 10112 10240 10304 11060 11200 11776 12482 12640 12719 12800 12880 13825 14336 14536 14720 15800 16100 17696 17920 18170 18400 20224 20480 20608 22120 22400 23552 24964 25280 25438 25600 25760 27650 28672 29072 29440 31205 31600 32200 35392 35840 36340 36800 40448 41216 43687 44240 44800 45425 47104 49928 50560 50876 51200 51520 55300 58144 58880 62410 63200 63595 64400 70784 71680 72680 73600 80896 82432 87374 88480 89600 90850 94208 99856 101120 101752 102400 103040 110600 116288 117760 124820 126400 127190 128800 141568 143360 143543 145360 147200 156025 161792 164864 174748 176960 179200 181700 199712 202240 203504 206080 218435 221200 232576 235520 249640 252800 254380 257600 283136 287086 290720 294400 312050 317975 323584 329728 349496 353920 358400 363400 399424 404480 407008 412160 436870 442400 465152 471040 493039 499280 505600 508760 515200 566272 574172 581440 588800 624100 635950 659456 698992 707840 716800 717715 726800 798848 808960 814016 824320 873740 884800 930304 986078 998560 1004801 1011200 1017520 1030400 1092175 1132544 1148344 1162880 1177600 1248200 1271900 1397984 1415680 1435430 1453600 1597696 1617920 1628032 1648640 1747480 1769600 1860608 1972156 1997120 2009602 2022400 2035040 2060800 2184350 2265088 2296688 2325760 2355200 2465195 2496400 2543800 2795968 2831360 2870860 2907200 3195392 3256064 3297280 3451273 3494960 3539200 3588575 3721216 3944312 3994240 4019204 4044800 4070080 4121600 4368700 4593376 4651520 4930390 4992800 5024005 5087600 5591936 5662720 5741720 5814400 6390784 6512128 6902546 6989920 7078400 7177150 7442432 7888624 7988480 8038408 8089600 8140160 8243200 8737400 9186752 9303040 9860780 9985600 10048010 10175200 11183872 11325440 11339897 11483440 11628800 12325975 12781568 13024256 13805092 13979840 14156800 14354300 15777248 15976960 16076816 16280320 16486400 17256365 17474800 18373504 18606080 19721560 19971200 20096020 20350400 22367744 22679794 22966880 23257600 24651950 25120025 25563136 26048512 27610184 27959680 28313600 28708600 31554496 31953920 32153632 32560640 34512730 34949600 36747008 37212160 38950081 39443120 39942400 40192040 40700800 44735488 45359588 45933760 46515200 49303900 50240050 52097024 55220368 55919360 56627200 56699485 57417200 63108992 63907840 64307264 65121280 69025460 69899200 73494016 77900162 78886240 79379279 79884800 80384080 81401600 86281825 89470976 90719176 91867520 93030400 98607800 100480100 110440736 111838720 113398970 114834400 126217984 127815680 128614528 130242560 138050920 139798400 146988032 155800324 157772480 158758558 159769600 160768160 162803200 172563650 178941952 181438352 183735040 186060800 194750405 197215600 200960200 220881472 223677440 226797940 229668800 252435968 257229056 260485120 272650567 276101840 279596800 283497425 293976064 311600648 315544960 317517116 319539200 321536320 325606400 345127300 362876704 367470080 389500810 394431200 396896395 401920400 441762944 447354880 453595880 459337600 504871936 514458112 545301134 552203680 559193600 566994850 587952128 623201296 631089920 635034232 639078400 643072640 651212800 690254600 725753408 734940160 779001620 788862400 793792790 803840800 883525888 894709760 895851863 907191760 918675200 973752025 1009743872 1028916224 1090602268 1104407360 1118387200 1133989700 1246402592 1262179840 1270068464 1286145280 1302425600 1363252835 1380509200 1451506816 1469880320 1558003240 1577724800 1587585580 1607681600 1767051776 1791703726 1814383520 1837350400 1947504050 1984481975 2019487744 2057832448 2181204536 2208814720 2236774400 2267979400 2492805184 2524359680 2540136928 2572290560 2726505670 2761018400 2903013632 2939760640 3116006480 3155449600 3175171160 3215363200 3534103552 3583407452 3628767040 3674700800 3895008100 3968963950 4115664896 4362409072 4417629440 4473548800 4479259315 4535958800 4985610368 5048719360 5080273856 5144581120 5453011340 5522036800 5806027264 6232012960 6270963041 6310899200 6350342320 6430726400 6816264175 7068207104 7166814904 7257534080 7349401600 7790016200 7937927900 8724818144 8835258880 8958518630 9071917600 9971220736 10097438720 10160547712 10289162240 10906022680 11044073600 11612054528 12464025920 12541926082 12621798400 12700684640 12861452800 13632528350 14136414208 14333629808 14515068160 14698803200 15580032400 15875855800 17449636288 17670517760 17917037260 18143835200 19942441472 20321095424 20578324480 21812045360 22088147200 22396296575 23224109056 24928051840 25083852164 25243596800 25401369280 25722905600 27265056700 28667259616 29030136320 31160064800 31354815205 31751711600 34899272576 35341035520 35834074520 36287670400 39884882944 40642190848 43624090720 44176294400 44792593150 46448218112 49856103680 50167704328 50487193600 50802738560 51445811200 54530113400 57334519232 58060272640 62320129600 62709630410 63503423200 69798545152 70682071040 71668149040 72575340800 79769765888 81284381696 87248181440 88352588800 89585186300 99712207360 100335408656 101605477120 102891622400 109060226800 114669038464 116120545280 124640259200 125419260820 127006846400 139597090304 143336298080 145150681600 156774076025 159539531776 162568763392 174496362880 176705177600 179170372600 199424414720 200670817312 203210954240 218120453600 229338076928 232241090560 249280518400 250838521640 254013692800 279194180608 286672596160 290301363200 313548152050 325137526784 348992725760 353410355200 358340745200 398848829440 401341634624 406421908480 436240907200 458676153856 498561036800 501677043280 508027385600 558388361216 573345192320 580602726400 627096304100 697985451520 716681490400 797697658880 802683269248 812843816960 872481814400 917352307712 997122073600 1003354086560 1016054771200 1116776722432 1146690384640 1161205452800 1254192608200 1395970903040 1433362980800 1605366538496 1625687633920 1744963628800 1834704615424 1994244147200 2006708173120 2032109542400 2293380769280 2508385216400 2791941806080 2866725961600 3210733076992 3489927257600 3669409230848 3988488294400 4013416346240 4064219084800 4586761538560 5016770432800 5583883612160 5733451923200 6421466153984 6979854515200 8026832692480 8128438169600 9173523077120 10033540865600 11466903846400 12842932307968 13959709030400 16053665384960 18347046154240 20067081731200 22933807692800 25685864615936 27919418060800 32107330769920 40134163462400 45867615385600 64214661539840 80268326924800 91735230771200 128429323079680 160536653849600 321073307699200 642146615398400
• Sum of all divisors σ(n): 1923271969566912
• Sum of proper divisors (its aliquot sum) s(n): 1281125354168512
• 642146615398400 is an abundant number, because the sum of its proper divisors (1281125354168512) is greater than itself. Its abundance is 638978738770112

Bases of 642146615398400

• Binary: 10010010000000011101101000111001111001000000000000₂
• Hexadecimal: 0x2480768E79000
• Base-36: 6BME2Z2NSW

Squares and roots of 642146615398400

• 642146615398400 squared (642146615398400²) is 412352275667620647990722560000
• 642146615398400 cubed (642146615398400³) is 264790618171790610837329109467638267904000000
• The square root of 642146615398400 is 25340611.9775825463
• The cube root of 642146615398400 is 86273.6288866507

Scales and comparisons

• 642,146,615,398,400 seconds is equal to 20,418,276 years, 4 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 642,146,615,398,400 would take you about fifty-one million, forty-five thousand, six hundred ninety 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 642146615398400 cubic inches would be around 7189.5 feet tall.

Recreational maths with 642146615398400

• 642146615398400 backwards is 004893516641246
• The number of decimal digits it has is: 15
• The sum of 642146615398400's digits is 59
• More coming soon!