480993419520

Names of 480993419520

• Cardinal: 480993419520 can be written as Four hundred eighty billion, nine hundred ninety-three million, four hundred nineteen thousand, five hundred twenty.

Scientific notation

• Scientific notation: 4.8099341952 × 10¹¹

Factors of 480993419520

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 470

Divisors of 480993419520

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 83 85 90 96 102 120 127 128 136 144 153 160 166 170 180 192 204 233 240 249 254 255 256 272 288 306 320 332 340 360 381 384 408 415 466 480 498 508 510 544 576 612 635 640 664 680 699 720 747 762 765 768 816 830 932 960 996 1016 1020 1088 1143 1152 1165 1224 1245 1270 1280 1328 1360 1398 1411 1440 1494 1524 1530 1632 1660 1864 1905 1920 1992 2032 2040 2097 2159 2176 2286 2304 2330 2448 2490 2540 2656 2720 2796 2822 2880 2988 3048 3060 3264 3320 3495 3728 3735 3810 3840 3961 3984 4064 4080 4194 4233 4318 4352 4572 4660 4896 4980 5080 5312 5440 5592 5644 5715 5760 5976 6096 6120 6477 6528 6640 6990 7055 7456 7470 7620 7922 7968 8128 8160 8388 8466 8636 9144 9320 9792 9960 10160 10485 10541 10624 10795 10880 11184 11288 11430 11520 11883 11952 12192 12240 12699 12954 13056 13280 13980 14110 14912 14940 15240 15844 15936 16256 16320 16776 16932 17272 18288 18640 19339 19431 19584 19805 19920 20320 20970 21082 21165 21248 21590 21760 22368 22576 22860 23766 23904 24384 24480 25398 25908 26560 27960 28220 29591 29824 29880 30480 31623 31688 31872 32385 32512 32640 33552 33864 34544 35649 36576 37280 38678 38862 39168 39610 39840 40640 41940 42164 42330 43180 44736 45152 45720 47532 47808 48768 48960 50796 51816 52705 53120 55920 56440 58017 59182 59415 59648 59760 60960 63246 63376 63495 63744 64770 65280 67104 67728 69088 71298 73152 74560 77356 77724 79220 79680 81280 83880 84328 84660 86360 88773 89472 90304 91440 94869 95064 95616 96695 97155 97536 97920 101592 103632 105410 106240 111840 112880 116034 118364 118830 119520 121920 126492 126752 126990 129540 134208 135456 138176 142596 146304 147955 149120 154712 155448 158115 158440 159360 162560 167760 168656 169320 172720 174051 177546 178245 178944 179197 180608 182880 189738 190128 191232 193390 194310 195840 203184 207264 210820 223680 225760 232068 236728 237660 239040 243840 252984 253504 253980 259080 266319 268416 270912 276352 285192 290085 292608 295910 298240 309424 310896 316230 316880 318720 328763 335520 337312 338640 345440 348102 355092 356490 358394 361216 365760 379476 380256 386780 388620 406368 414528 421640 443865 447360 451520 464136 473456 474345 475320 478080 487680 503047 505968 507008 507960 518160 532638 536832 537591 541824 552704 570384 580170 591820 618848 621792 632460 633760 657526 671040 674624 677280 690880 696204 710184 712980 716788 731520 758952 760512 773560 777240 812736 829056 843280 870255 887730 894720 895985 903040 928272 946912 948690 950640 956160 986289 1006094 1011936 1014016 1015920 1036320 1065276 1075182 1083648 1140768 1160340 1183640 1237696 1243584 1264920 1267520 1315052 1331595 1342080 1349248 1354560 1381760 1392408 1420368 1425960 1433576 1463040 1509141 1517904 1521024 1547120 1554480 1612773 1625472 1643815 1658112 1686560 1740510 1775460 1791970 1806080 1856544 1893824 1897380 1901280 1972578 2012188 2023872 2031840 2072640 2130552 2150364 2281536 2320680 2367280 2456053 2475392 2487168 2515235 2529840 2535040 2630104 2663190 2684160 2687955 2698496 2709120 2763520 2784816 2840736 2851920 2867152 2958867 3018282 3035808 3042048 3094240 3108960 3225546 3250944 3287630 3373120 3481020 3550920 3583940 3713088 3787648 3794760 3802560 3945156 4024376 4047744 4063680 4145280 4261104 4300728 4527423 4563072 4641360 4734560 4912106 4931445 4950784 4974336 5030470 5059680 5070080 5260208 5326380 5375910 5418240 5569632 5681472 5703840 5734304 5917734 6036564 6071616 6188480 6217920 6451092 6575260 6746240 6962040 7101840 7167880 7368159 7426176 7545705 7575296 7589520 7605120 7890312 8048752 8063865 8095488 8127360 8290560 8522208 8601456 9054846 9126144 9282720 9469120 9824212 9862890 10060940 10119360 10520416 10652760 10751820 11139264 11362944 11407680 11468608 11835468 12073128 12143232 12280265 12376960 12435840 12902184 13150520 13492480 13924080 14203680 14335760 14736318 14794335 14852352 15091410 15179040 15210240 15780624 16097504 16127730 16254720 17044416 17202912 18109692 18565440 18938240 19648424 19725780 20121880 20238720 21040832 21305520 21503640 22104477 22278528 22637115 22725888 22815360 22937216 23670936 24146256 24286464 24560530 24753920 24871680 25804368 26301040 27848160 28407360 28671520 29472636 29588670 30182820 30358080 31561248 32195008 32255460 34088832 34405824 36219384 36840795 37130880 37876480 39296848 39451560 40243760 40477440 41752901 42081664 42611040 43007280 44208954 44557056 45274230 45630720 45874432 47341872 48292512 49121060 51608736 52602080 55696320 56814720 57343040 58945272 59177340 60365640 60716160 63122496 64390016 64510920 68177664 68811648 72438768 73681590 74261760 78593696 78903120 80487520 83505802 84163328 85222080 86014560 88417908 90548460 94683744 96585024 98242120 103217472 105204160 110522385 111392640 113629440 114686080 117890544 118354680 120731280 121432320 125258703 126244992 128780032 129021840 137623296 144877536 147363180 157187392 157806240 160975040 167011604 170444160 172029120 176835816 181096920 189367488 193170048 196484240 206434944 208764505 210408320 221044770 222785280 229372160 235781088 236709360 241462560 250517406 252489984 258043680 289755072 294726360 314374784 315612480 321950080 334023208 340888320 344058240 353671632 362193840 375776109 378734976 386340096 392968480 412869888 417529010 420816640 442089540 471562176 473418720 482925120 501034812 516087360 579510144 589452720 626293515 628749568 631224960 643900160 668046416 688116480 707343264 724387680 751552218 757469952 785936960 835058020 884179080 943124352 946837440 965850240 1002069624 1032174720 1159020288 1178905440 1252587030 1262449920 1336092832 1414686528 1448775360 1503104436 1571873920 1670116040 1768358160 1878880545 1886248704 1893674880 1931700480 2004139248 2064349440 2357810880 2505174060 2672185664 2829373056 2897550720 3006208872 3143747840 3340232080 3536716320 3757761090 3787349760 4008278496 4715621760 5010348120 5344371328 5658746112 5795101440 6012417744 6680464160 7073432640 7515522180 8016556992 9431243520 10020696240 10688742656 12024835488 13360928320 14146865280 15031044360 16033113984 20041392480 24049670976 26721856640 28293730560 30062088720 32066227968 40082784960 48099341952 53443713280 60124177440 80165569920 96198683904 120248354880 160331139840 240496709760 480993419520
• Sum of all divisors σ(n): 1805066145792
• Sum of proper divisors (its aliquot sum) s(n): 1324072726272
• 480993419520 is an abundant number, because the sum of its proper divisors (1324072726272) is greater than itself. Its abundance is 843079306752

Bases of 480993419520

• Binary: 110111111111101011100010010000100000000₂
• Hexadecimal: 0x6FFD712100
• Base-36: 64YR29S0

Squares and roots of 480993419520

• 480993419520 squared (480993419520²) is 231354669621542717030400
• 480993419520 cubed (480993419520³) is 111280073663185695722203835793408000
• The square root of 480993419520 is 693536.8912466013
• The cube root of 480993419520 is 7835.1330962515

Scales and comparisons

• 480,993,419,520 seconds is equal to 15,294 years, 5 weeks, 2 days, 11 hours, 12 minutes.
• To count from 1 to 480,993,419,520 would take you about thirty thousand, five hundred eighty-eight 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 480993419520 cubic inches would be around 652.9 feet tall.

Recreational maths with 480993419520

• 480993419520 backwards is 025914399084
• The number of decimal digits it has is: 12
• The sum of 480993419520's digits is 54
• More coming soon!