2048131478400

Names of 2048131478400

• Cardinal: 2048131478400 can be written as Two trillion, forty-eight billion, one hundred thirty-one million, four hundred seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 2.0481314784 × 10¹²

Factors of 2048131478400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1759

Divisors of 2048131478400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 64 70 75 76 80 84 95 96 98 100 105 112 114 120 128 133 140 147 150 152 160 168 175 190 192 196 200 210 224 228 240 245 266 280 285 294 300 304 320 336 343 350 361 380 384 392 399 400 420 448 456 475 480 490 525 532 560 570 588 600 608 640 665 672 686 700 722 735 760 784 798 800 840 896 912 931 950 960 980 1029 1050 1064 1083 1120 1140 1176 1200 1216 1225 1330 1344 1372 1400 1425 1444 1470 1520 1568 1596 1600 1680 1715 1723 1805 1824 1862 1900 1920 1960 1995 2058 2100 2128 2166 2240 2280 2352 2400 2432 2450 2527 2660 2688 2744 2793 2800 2850 2888 2940 3040 3136 3192 3200 3325 3360 3430 3446 3610 3648 3675 3724 3800 3920 3990 4116 4200 4256 4332 4480 4560 4655 4704 4800 4900 5054 5145 5169 5320 5415 5488 5586 5600 5700 5776 5880 6080 6272 6384 6517 6650 6720 6860 6892 7220 7296 7350 7448 7581 7600 7840 7980 8232 8400 8512 8575 8615 8664 9025 9120 9310 9408 9600 9800 9975 10108 10290 10338 10640 10830 10976 11172 11200 11400 11552 11760 12061 12160 12635 12768 13034 13300 13440 13720 13784 13965 14440 14700 14896 15162 15200 15680 15960 16464 16800 17024 17150 17230 17328 17689 18050 18240 18620 18816 19551 19600 19950 20216 20580 20676 21280 21660 21952 22344 22400 22800 23104 23275 23520 24122 25270 25536 25725 25845 26068 26600 27075 27440 27568 27930 28880 29400 29792 30324 30400 31360 31920 32585 32737 32928 33600 34300 34460 34656 35378 36100 36183 36480 37240 37905 39102 39200 39900 40432 41160 41352 42560 43075 43320 43904 44688 45600 46208 46550 47040 48244 50540 51072 51450 51690 52136 53067 53200 54150 54880 55136 55860 57760 58800 59584 60305 60648 60800 63175 63840 65170 65474 65856 67200 68600 68920 69312 69825 70756 72200 72366 74480 75810 78204 78400 79800 80864 82320 82704 84427 85120 86150 86640 88445 89376 91200 93100 94080 96488 97755 98211 101080 102900 103380 104272 106134 106400 108300 109760 110272 111720 115520 117600 119168 120610 121296 123823 126350 127680 129225 130340 130948 131712 137200 137840 138624 139650 141512 144400 144732 148960 151620 156408 156800 159600 161728 162925 163685 164640 165408 168854 172300 173280 176890 178752 180915 182400 186200 189525 192976 195510 196422 202160 205800 206760 208544 212268 212800 216600 219520 220544 223440 229159 231040 235200 241220 242592 247646 252700 253281 255360 258450 260680 261896 265335 274400 275680 279300 283024 288800 289464 297920 301525 303240 312816 319200 323456 325850 327370 329280 330816 337708 344600 346560 353780 357504 361830 371469 372400 379050 385952 391020 392844 404320 411600 413520 417088 422135 424536 425600 433200 442225 446880 458318 470400 482440 485184 488775 491055 495292 505400 506562 516900 521360 523792 530670 548800 551360 558600 566048 577600 578928 590989 595840 603050 606480 619115 622003 625632 638400 651700 654740 658560 661632 675416 687477 689200 693120 707560 723660 742938 744800 758100 771904 782040 785688 808640 818425 823200 827040 834176 844270 849072 866400 884450 893760 904575 916636 964880 970368 977550 982110 990584 1010800 1013124 1033800 1042720 1047584 1061340 1097600 1102720 1117200 1132096 1145795 1155200 1157856 1181978 1206100 1212960 1238230 1244006 1251264 1266405 1276800 1303400 1309480 1326675 1350832 1374954 1378400 1415120 1447320 1485876 1489600 1516200 1543808 1564080 1571376 1604113 1617280 1636850 1646400 1654080 1688540 1698144 1732800 1768900 1772967 1787520 1809150 1833272 1857345 1866009 1929760 1955100 1964220 1981168 2021600 2026248 2067600 2085440 2095168 2110675 2122680 2234400 2264192 2291590 2315712 2363956 2412200 2425920 2455275 2476460 2488012 2502528 2532810 2606800 2618960 2653350 2701664 2749908 2756800 2830240 2894640 2954945 2971752 2979200 3032400 3095575 3110015 3128160 3142752 3208226 3273700 3292800 3308160 3377080 3396288 3437385 3465600 3537800 3545934 3618300 3666544 3714690 3732018 3859520 3910200 3928440 3962336 4043200 4052496 4135200 4170880 4190336 4221350 4245360 4354021 4468800 4583180 4631424 4727912 4812339 4824400 4851840 4910550 4952920 4976024 5065620 5213600 5237920 5306700 5403328 5499816 5513600 5660480 5728975 5789280 5909890 5943504 6064800 6191150 6220030 6256320 6285504 6332025 6416452 6547400 6754160 6792576 6874770 7075600 7091868 7236600 7333088 7429380 7464036 7719040 7820400 7856880 7924672 8020565 8086400 8104992 8270400 8442700 8490720 8708042 8864835 8937600 9166360 9286725 9330045 9455824 9624678 9648800 9821100 9905840 9952048 10131240 10427200 10475840 10613400 10806656 10999632 11228791 11320960 11457950 11578560 11819780 11887008 12129600 12382300 12440060 12512640 12571008 12664050 12832904 13062063 13094800 13508320 13749540 14151200 14183736 14473200 14666176 14774725 14858760 14928072 15550075 15640800 15713760 15849344 16041130 16209984 16540800 16885400 16981440 17186925 17416084 17729670 18332720 18573450 18660090 18911648 19249356 19297600 19642200 19811680 19904096 20262480 20854400 20951680 21226800 21770105 21999264 22457582 22915900 23157120 23639560 23774016 24061695 24259200 24764600 24880120 25328100 25665808 26124126 26189600 27016640 27499080 28302400 28367472 28946400 29332352 29549450 29717520 29856144 30478147 31100150 31281600 31427520 32082260 32419968 33686373 33770800 33962880 34373850 34832168 35459340 36665440 37146900 37320180 37823296 38498712 38595200 39284400 39623360 39808192 40102825 40524960 42453600 43540210 43998528 44324175 44915164 45831800 46650225 47279120 47548032 48123390 49529200 49760240 50656200 51331616 52248252 52379200 54033280 54998160 56143955 56604800 56734944 57892800 59098900 59435040 59712288 60956294 62200300 62563200 62855040 64164520 65310315 67372746 67541600 68747700 69664336 70918680 73330880 74293800 74640360 75646592 76997424 78568800 79246720 79616384 80205650 81049920 84907200 87080420 87997056 88648350 89830328 91434441 91663600 93300450 94558240 96246780 99058400 99520480 101312400 102663232 104496504 104758400 108850525 109996320 112287910 113469888 115785600 118197800 118870080 119424576 120308475 121912588 124400600 128329040 130620630 134745492 135083200 137495400 139328672 141837360 146661760 148587600 149280720 152390735 153994848 157137600 160411300 162099840 168431865 169814400 174160840 177296700 179660656 182868882 183327200 186600900 189116480 192493560 198116800 199040960 202624800 205326464 208993008 213347029 217701050 219992640 224575820 226939776 236395600 237740160 238849152 240616950 243825176 248801200 256658080 261241260 269490984 270166400 274990800 278657344 280719775 283674720 297175200 298561440 304781470 307989696 314275200 320822600 326551575 336863730 348321680 354593400 359321312 365737764 366654400 373201800 378232960 384987120 396233600 398081920 405249600 417986016 426694058 435402100 439985280 449151640 457172205 472791200 481233900 487650352 497602400 513316160 522482520 538981968 549981600 557314688 561439550 567349440 594350400 597122880 609562940 615979392 640041087 641645200 653103150 673727460 696643360 709186800 718642624 731475528 733308800 746403600 761953675 769974240 810499200 835972032 842159325 853388116 870804200 898303280 914344410 945582400 962467800 975300704 995204800 1026632320 1044965040 1066735145 1077963936 1099963200 1122879100 1134698880 1188700800 1194245760 1219125880 1280082174 1283290400 1306206300 1347454920 1393286720 1418373600 1437285248 1462951056 1492807200 1523907350 1539948480 1671944064 1684318650 1706776232 1741608400 1796606560 1828688820 1891164800 1924935600 1950601408 1990409600 2089930080 2133470290 2155927872 2199926400 2245758200 2285861025 2438251760 2560164348 2566580800 2612412600 2694909840 2786573440 2836747200 2925902112 2985614400 3047814700 3079896960 3200205435 3368637300 3413552464 3483216800 3593213120 3657377640 3849871200 3901202816 4179860160 4266940580 4311855744 4491516400 4571722050 4876503520 5120328696 5133161600 5224825200 5333675725 5389819680 5673494400 5851804224 5971228800 6095629400 6400410870 6737274600 6827104928 6966433600 7186426240 7314755280 7699742400 8359720320 8533881160 8983032800 9143444100 9753007040 10240657392 10449650400 10667351450 10779639360 11703608448 12191258800 12800821740 13474549200 13654209856 13932867200 14629510560 15399484800 16001027175 17067762320 17966065600 18286888200 19506014080 20481314784 20899300800 21334702900 21559278720 24382517600 25601643480 26949098400 27308419712 29259021120 32002054350 34135524640 35932131200 36573776400 40962629568 41798601600 42669405800 48765035200 51203286960 53898196800 58518042240 64004108700 68271049280 73147552800 81925259136 85338811600 97530070400 102406573920 107796393600 128008217400 136542098560 146295105600 170677623200 204813147840 256016434800 292590211200 341355246400 409626295680 512032869600 682710492800 1024065739200 2048131478400
• Sum of all divisors σ(n): 8307762912000
• Sum of proper divisors (its aliquot sum) s(n): 6259631433600
• 2048131478400 is an abundant number, because the sum of its proper divisors (6259631433600) is greater than itself. Its abundance is 4211499955200

Bases of 2048131478400

• Binary: 11101110011011110001001100011001110000000₂
• Hexadecimal: 0x1DCDE263380
• Base-36: Q4WCLMYO

Squares and roots of 2048131478400

• 2048131478400 squared (2048131478400²) is 4194842552812969666560000
• 2048131478400 cubed (2048131478400³) is 8591589079348057641865887842304000000
• The square root of 2048131478400 is 1431129.4415251193
• The cube root of 2048131478400 is 12699.4801663763

Scales and comparisons

• 2,048,131,478,400 seconds is equal to 65,124 years, 12 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 2,048,131,478,400 would take you about one hundred sixty-two thousand, eight hundred ten 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 2048131478400 cubic inches would be around 1058.3 feet tall.

Recreational maths with 2048131478400

• 2048131478400 backwards is 0048741318402
• 2048131478400 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2048131478400's digits is 42
• More coming soon!