468793128960

Names of 468793128960

• Cardinal: 468793128960 can be written as Four hundred sixty-eight billion, seven hundred ninety-three million, one hundred twenty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 4.6879312896 × 10¹¹

Factors of 468793128960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 229

Divisors of 468793128960

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 79 80 90 96 104 108 117 120 127 128 130 135 144 156 158 160 169 180 192 195 208 216 234 237 240 254 256 260 270 288 312 316 320 338 351 360 381 384 390 395 416 432 468 474 480 507 508 512 520 540 576 585 624 632 635 640 676 702 711 720 762 768 780 790 832 845 864 936 948 960 1014 1016 1024 1027 1040 1080 1143 1152 1170 1185 1248 1264 1270 1280 1352 1404 1422 1440 1521 1524 1536 1560 1580 1651 1664 1690 1728 1755 1872 1896 1905 1920 2028 2032 2048 2054 2080 2133 2160 2286 2304 2340 2370 2496 2528 2535 2540 2560 2704 2808 2844 2880 3042 3048 3072 3081 3120 3160 3302 3328 3380 3429 3456 3510 3555 3744 3792 3810 3840 4056 4064 4108 4160 4266 4320 4563 4572 4608 4680 4740 4953 4992 5056 5070 5080 5120 5135 5408 5616 5688 5715 5760 6084 6096 6144 6162 6240 6320 6604 6656 6760 6858 6912 7020 7110 7488 7584 7605 7620 7680 8112 8128 8216 8255 8320 8532 8640 9126 9144 9216 9243 9360 9480 9906 9984 10033 10112 10140 10160 10240 10270 10665 10816 11232 11376 11430 11520 12168 12192 12324 12480 12640 13208 13312 13351 13520 13716 13824 14040 14220 14859 14976 15168 15210 15240 15360 15405 16224 16256 16432 16510 16640 17064 17145 17280 18252 18288 18432 18486 18720 18960 19812 19968 20066 20224 20280 20320 20540 21330 21463 21632 22464 22752 22815 22860 23040 24336 24384 24648 24765 24960 25280 26416 26624 26702 27040 27432 27648 27729 28080 28440 29718 29952 30099 30336 30420 30480 30720 30810 32448 32512 32864 33020 33280 34128 34290 34560 36504 36576 36972 37440 37920 39624 39936 40053 40132 40448 40560 40640 41080 42660 42926 43264 44577 44928 45504 45630 45720 46080 46215 48672 48768 49296 49530 49920 50165 50560 52832 53404 54080 54864 55296 55458 56160 56880 59436 59904 60198 60672 60840 60960 61620 64389 64896 65024 65728 66040 66560 66755 68256 68580 69120 73008 73152 73944 74295 74880 75840 79248 79872 80106 80264 80896 81120 81280 82160 85320 85852 86528 89154 89856 90297 91008 91260 91440 92160 92430 97344 97536 98592 99060 99840 100330 101120 105664 106808 107315 108160 109728 110916 112320 113760 118872 119808 120159 120396 121344 121680 121920 123240 128778 129792 130048 130429 131456 132080 133120 133510 136512 137160 138240 138645 146016 146304 147888 148590 149760 150495 151680 158496 160212 160528 161792 162240 162560 164320 170640 171704 173056 178308 179712 180594 182016 182520 182880 184860 193167 194688 195072 197184 198120 199680 200265 200660 202240 211328 213616 214630 216320 219456 221832 222885 224640 227520 237744 239616 240318 240792 242688 243360 243840 246480 257556 259584 260096 260858 262912 264160 267020 270891 273024 274320 276480 277290 292032 292608 295776 297180 299520 300990 303360 316992 320424 321056 321945 324480 325120 328640 341280 343408 346112 356616 359424 360477 361188 364032 365040 365760 369720 386334 389376 390144 391287 394368 396240 399360 400530 401320 404480 422656 427232 429260 432640 438912 443664 445770 449280 451485 455040 475488 480636 481584 485376 486720 487680 492960 515112 519168 521716 525824 528320 534040 541782 546048 548640 554580 579501 584064 585216 591552 594360 599040 600795 601980 606720 633984 640848 642112 643890 648960 650240 652145 657280 682560 686816 713232 718848 720954 722376 728064 730080 731520 739440 772668 778752 780288 782574 788736 792480 801060 802640 808960 845312 854464 858520 865280 877824 887328 891540 898560 902970 910080 950976 961272 963168 965835 973440 975360 985920 1030224 1038336 1043432 1051648 1056640 1068080 1083564 1092096 1097280 1109160 1159002 1168128 1170432 1173861 1183104 1188720 1198080 1201590 1203960 1213440 1267968 1281696 1284224 1287780 1297920 1300480 1304290 1314560 1354455 1365120 1373632 1426464 1441908 1444752 1456128 1460160 1463040 1478880 1545336 1557504 1565148 1577472 1584960 1602120 1605280 1690624 1695577 1708928 1717040 1730560 1755648 1774656 1783080 1797120 1802385 1805940 1820160 1901952 1922544 1926336 1931670 1946880 1950720 1956435 1971840 2060448 2086864 2103296 2113280 2136160 2167128 2184192 2194560 2218320 2318004 2336256 2340864 2347722 2366208 2377440 2403180 2407920 2426880 2535936 2563392 2568448 2575560 2595840 2608580 2629120 2708910 2730240 2747264 2852928 2883816 2889504 2897505 2920320 2926080 2957760 3090672 3115008 3130296 3154944 3169920 3204240 3210560 3381248 3391154 3417856 3434080 3511296 3521583 3549312 3566160 3594240 3604770 3611880 3640320 3803904 3845088 3852672 3863340 3893760 3901440 3912870 3943680 4120896 4173728 4226560 4272320 4334256 4368384 4389120 4436640 4636008 4672512 4695444 4732416 4754880 4806360 4815840 5071872 5086731 5126784 5136896 5151120 5191680 5217160 5258240 5417820 5460480 5494528 5705856 5767632 5779008 5795010 5840640 5852160 5869305 5915520 6181344 6260592 6309888 6339840 6408480 6421120 6782308 6835712 6868160 7022592 7043166 7098624 7132320 7209540 7223760 7280640 7607808 7690176 7705344 7726680 7787520 7825740 7887360 8241792 8347456 8453120 8477885 8544640 8668512 8778240 8873280 9272016 9345024 9390888 9464832 9509760 9612720 9631680 10143744 10173462 10253568 10273792 10302240 10434320 10516480 10835640 10920960 10989056 11411712 11535264 11558016 11590020 11681280 11704320 11738610 11831040 12362688 12521184 12679680 12816960 12842240 13564616 13671424 13736320 14086332 14197248 14264640 14419080 14447520 15215616 15260193 15380352 15410688 15453360 15575040 15651480 15774720 16483584 16694912 16906240 16955770 17089280 17337024 17556480 17607915 17746560 18544032 18781776 18929664 19019520 19225440 19263360 20346924 20507136 20547584 20604480 20868640 21671280 21841920 21978112 22823424 23070528 23116032 23180040 23362560 23477220 23662080 24725376 25042368 25359360 25433655 25633920 25684480 27129232 27342848 27472640 28172664 28394496 28529280 28838160 28895040 30431232 30520386 30760704 30821376 30906720 31302960 31549440 32967168 33389824 33911540 34178560 34674048 35112960 35215830 35493120 37088064 37563552 38039040 38450880 38526720 40693848 41014272 41208960 41737280 43342560 43956224 45646848 45780579 46141056 46232064 46360080 46725120 46954440 47324160 49450752 50084736 50718720 50867310 51267840 51368960 54258464 54945280 56345328 56788992 57058560 57676320 57790080 61040772 61521408 61642752 61813440 62605920 65934336 66779648 67823080 68357120 69348096 70431660 70986240 74176128 75127104 76078080 76300965 76901760 77053440 81387696 82028544 82417920 83474560 86685120 91293696 91561158 92282112 92464128 92720160 93908880 94648320 98901504 100169472 101734620 102535680 102737920 108516928 109890560 112690656 114117120 115352640 115580160 122081544 123042816 123626880 125211840 131868672 133559296 135646160 136714240 138696192 140863320 141972480 148352256 150254208 152156160 152601930 153803520 154106880 162775392 164835840 166949120 173370240 183122316 184564224 184928256 185440320 187817760 197803008 200338944 203469240 205071360 217033856 219781120 225381312 228234240 228902895 230705280 231160320 244163088 246085632 247253760 250423680 267118592 271292320 277392384 281726640 283944960 296704512 300508416 305203860 307607040 308213760 325550784 329671680 333898240 346740480 366244632 369128448 370880640 375635520 395606016 400677888 406938480 410142720 434067712 450762624 456468480 457805790 461410560 462320640 488326176 494507520 500847360 542584640 554784768 563453280 593409024 601016832 610407720 615214080 651101568 659343360 667796480 693480960 732489264 738256896 741761280 751271040 801355776 813876960 868135424 901525248 915611580 922821120 924641280 976652352 989015040 1001694720 1085169280 1126906560 1186818048 1202033664 1220815440 1230428160 1302203136 1335592960 1386961920 1464978528 1483522560 1502542080 1627753920 1736270848 1803050496 1831223160 1845642240 1953304704 1978030080 2003389440 2170338560 2253813120 2404067328 2441630880 2604406272 2773923840 2929957056 2967045120 3005084160 3255507840 3472541696 3606100992 3662446320 3691284480 3906609408 4006778880 4340677120 4507626240 4883261760 5208812544 5859914112 5934090240 6010168320 6511015680 7212201984 7324892640 7813218816 8681354240 9015252480 9766523520 10417625088 11719828224 12020336640 13022031360 14649785280 15626437632 17362708480 18030504960 19533047040 23439656448 26044062720 29299570560 31252875264 36061009920 39066094080 46879312896 52088125440 58599141120 78132188160 93758625792 117198282240 156264376320 234396564480 468793128960
• Sum of all divisors σ(n): 1841688576000
• Sum of proper divisors (its aliquot sum) s(n): 1372895447040
• 468793128960 is an abundant number, because the sum of its proper divisors (1372895447040) is greater than itself. Its abundance is 904102318080

Bases of 468793128960

• Binary: 110110100100110001111110111100000000000₂
• Hexadecimal: 0x6D263F7800
• Base-36: 5ZCZBPC0

Squares and roots of 468793128960

• 468793128960 squared (468793128960²) is 219766997760107190681600
• 468793128960 cubed (468793128960³) is 103025258522105961384622619099136000
• The square root of 468793128960 is 684684.6930960267
• The cube root of 468793128960 is 7768.3195006119

Scales and comparisons

• 468,793,128,960 seconds is equal to 14,906 years, 8 weeks, 6 days, 9 hours, 36 minutes.
• To count from 1 to 468,793,128,960 would take you about twenty-nine thousand, eight 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 468793128960 cubic inches would be around 647.4 feet tall.

Recreational maths with 468793128960

• 468793128960 backwards is 069821397864
• The number of decimal digits it has is: 12
• The sum of 468793128960's digits is 63
• More coming soon!