428376816000

Names of 428376816000

• Cardinal: 428376816000 can be written as Four hundred twenty-eight billion, three hundred seventy-six million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.28376816 × 10¹¹

Factors of 428376816000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 76

Divisors of 428376816000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 59 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 118 120 125 126 128 135 140 144 147 150 160 168 175 177 180 189 192 196 200 210 216 224 225 236 240 245 250 252 270 280 288 294 295 300 315 320 336 343 350 354 360 375 378 384 392 400 413 420 432 441 448 450 472 480 490 500 504 525 531 540 560 576 588 590 600 630 640 672 675 686 700 708 720 735 750 756 784 800 826 840 864 875 882 885 896 900 944 945 960 980 1000 1008 1029 1050 1062 1080 1120 1125 1152 1176 1180 1200 1225 1239 1260 1323 1344 1350 1372 1400 1416 1440 1470 1475 1500 1512 1568 1575 1593 1600 1652 1680 1715 1728 1750 1764 1770 1800 1888 1890 1920 1960 2000 2016 2058 2065 2100 2124 2160 2205 2240 2250 2352 2360 2400 2401 2450 2478 2520 2625 2646 2655 2688 2700 2744 2800 2832 2880 2891 2940 2950 3000 3024 3087 3136 3150 3186 3200 3304 3360 3375 3430 3456 3500 3528 3540 3600 3675 3717 3776 3780 3920 4000 4032 4116 4130 4200 4248 4320 4410 4425 4480 4500 4704 4720 4725 4800 4802 4900 4956 5040 5145 5250 5292 5310 5400 5488 5600 5664 5760 5782 5880 5900 6000 6048 6125 6174 6195 6272 6300 6372 6608 6615 6720 6750 6860 7000 7056 7080 7200 7203 7350 7375 7434 7552 7560 7840 7875 7965 8000 8064 8232 8260 8400 8496 8575 8640 8673 8820 8850 9000 9261 9408 9440 9450 9600 9604 9800 9912 10080 10290 10325 10500 10584 10620 10800 10976 11025 11151 11200 11328 11564 11760 11800 12000 12005 12096 12250 12348 12390 12600 12744 13216 13230 13275 13440 13500 13720 14000 14112 14160 14400 14406 14455 14700 14750 14868 15120 15435 15680 15750 15930 16000 16464 16520 16800 16807 16992 17150 17280 17346 17640 17700 18000 18375 18522 18585 18816 18880 18900 19208 19600 19824 20160 20237 20580 20650 21000 21168 21240 21600 21609 21952 22050 22125 22302 22400 22656 23128 23520 23600 23625 24000 24010 24192 24500 24696 24780 25200 25488 25725 26019 26432 26460 26550 27000 27440 28000 28224 28320 28800 28812 28910 29400 29500 29736 30240 30870 30975 31360 31500 31860 32928 33040 33075 33600 33614 33984 34300 34692 35280 35400 36000 36015 36750 37044 37170 37760 37800 38416 39200 39648 39825 40320 40474 41160 41300 42000 42336 42480 42875 43200 43218 43365 43904 44100 44250 44604 46256 46305 47040 47200 47250 48000 48020 49000 49392 49560 50400 50421 50976 51450 51625 52038 52864 52920 53100 54000 54880 55125 55755 56000 56448 56640 57624 57820 58800 59000 59472 60025 60480 60711 61740 61950 63000 63720 64827 65856 66080 66150 66375 67200 67228 67968 68600 69384 70560 70800 72000 72030 72275 73500 74088 74340 75600 76832 77175 78057 78400 79296 79650 80948 82320 82600 84000 84035 84672 84960 85750 86400 86436 86730 88200 88500 89208 92512 92610 92925 94080 94400 94500 96040 98000 98784 99120 100800 100842 101185 101952 102900 103250 104076 105840 106200 108000 108045 109760 110250 111510 112000 113280 115248 115640 117600 118000 118944 120050 120960 121422 123480 123900 126000 127440 128625 129654 130095 131712 132160 132300 132750 134456 137200 138768 141120 141600 141659 144000 144060 144550 147000 148176 148680 151200 151263 153664 154350 154875 156114 156800 158592 159300 161896 164640 165200 165375 168000 168070 169344 169920 171500 172872 173460 176400 177000 178416 180075 182133 185024 185220 185850 188800 189000 192080 196000 197568 198240 199125 201600 201684 202370 203904 205800 206500 208152 211680 212400 216000 216090 216825 219520 220500 223020 230496 231280 231525 235200 236000 237888 240100 242844 246960 247800 252000 252105 254880 257250 259308 260190 264320 264600 265500 268912 274400 277536 278775 282240 283200 283318 288120 289100 294000 296352 297360 300125 302400 302526 303555 307328 308700 309750 312228 318600 323792 324135 329280 330400 330750 336000 336140 339840 343000 345744 346920 352800 354000 356832 360150 361375 364266 370048 370440 371700 378000 384160 385875 390285 392000 395136 396480 398250 403368 404740 411600 413000 416304 420175 423360 424800 424977 432000 432180 433650 441000 446040 453789 460992 462560 463050 464625 470400 472000 475776 480200 485688 493920 495600 504000 504210 505925 509760 514500 518616 520380 529200 531000 537824 540225 546399 548800 555072 557550 566400 566636 576240 578200 588000 592704 594720 600250 604800 605052 607110 617400 619500 624456 637200 647584 648270 650475 658560 660800 661500 672280 686000 691488 693840 705600 708000 708295 713664 720300 722750 728532 740880 743400 756000 756315 768320 771750 780570 784000 792960 796500 806736 809480 823200 826000 832608 840350 846720 849600 849954 864360 867300 882000 892080 900375 907578 910665 921984 925120 926100 929250 944000 960400 971376 987840 991200 991613 1008000 1008420 1011850 1019520 1029000 1037232 1040760 1058400 1062000 1075648 1080450 1084125 1092798 1097600 1110144 1115100 1133272 1152480 1156400 1157625 1176000 1185408 1189440 1200500 1210104 1214220 1234800 1239000 1248912 1260525 1274400 1274931 1295168 1296540 1300950 1321600 1323000 1344560 1372000 1382976 1387680 1393875 1411200 1416000 1416590 1427328 1440600 1445500 1457064 1481760 1486800 1512000 1512630 1517775 1536640 1543500 1561140 1593000 1613472 1618960 1620675 1646400 1652000 1665216 1680700 1699200 1699908 1728720 1734600 1764000 1784160 1800750 1815156 1821330 1850240 1852200 1858500 1920800 1942752 1951425 1975680 1982400 1983226 2016840 2023700 2058000 2074464 2081520 2100875 2116800 2124000 2124885 2151296 2160900 2168250 2185596 2230200 2266544 2268945 2304960 2312800 2315250 2352000 2378880 2401000 2420208 2428440 2469600 2478000 2497824 2521050 2529625 2548800 2549862 2590336 2593080 2601900 2646000 2689120 2701125 2731995 2744000 2765952 2775360 2787750 2832000 2833180 2881200 2891000 2914128 2963520 2973600 2974839 3024000 3025260 3035550 3087000 3122280 3186000 3226944 3237920 3241350 3252375 3292800 3304000 3330432 3361400 3399816 3457440 3469200 3528000 3541475 3568320 3601500 3630312 3642660 3704400 3717000 3781575 3824793 3841600 3885504 3902850 3964800 3966452 4033680 4047400 4116000 4148928 4163040 4201750 4233600 4248000 4249770 4321800 4336500 4371192 4460400 4533088 4537890 4553325 4609920 4625600 4630500 4802000 4840416 4856880 4939200 4956000 4958065 4995648 5042100 5059250 5097600 5099724 5186160 5203800 5292000 5378240 5402250 5463990 5488000 5550720 5575500 5666360 5762400 5782000 5828256 5927040 5947200 5949678 6050520 6071100 6174000 6244560 6302625 6372000 6374655 6453888 6475840 6482700 6504750 6608000 6722800 6799632 6914880 6938400 7056000 7082950 7136640 7203000 7260624 7285320 7408800 7434000 7563150 7588875 7649586 7683200 7771008 7805700 7932904 8067360 8094800 8103375 8232000 8297856 8326080 8403500 8496000 8499540 8643600 8673000 8742384 8920800 8924517 9066176 9075780 9106650 9251200 9261000 9604000 9680832 9713760 9757125 9878400 9912000 9916130 9991296 10084200 10118500 10199448 10372320 10407600 10584000 10624425 10756480 10804500 10927980 11151000 11332720 11344725 11524800 11564000 11656512 11894400 11899356 12101040 12142200 12348000 12489120 12605250 12744000 12749310 12951680 12965400 13009500 13445600 13599264 13659975 13829760 13876800 14165900 14406000 14521248 14570640 14817600 14868000 14874195 15126300 15177750 15299172 15611400 15865808 16134720 16189600 16206750 16464000 16652160 16807000 16999080 17287200 17346000 17484768 17707375 17841600 17849034 18132352 18151560 18213300 18522000 18907875 19123965 19208000 19361664 19427520 19514250 19824000 19832260 20168400 20237000 20398896 20744640 20815200 21168000 21248850 21609000 21855960 22302000 22665440 22689450 22766625 23049600 23128000 23313024 23798712 24202080 24284400 24696000 24790325 24978240 25210500 25488000 25498620 25930800 26019000 26773551 26891200 27198528 27319950 27753600 28331800 28812000 29042496 29141280 29635200 29736000 29748390 30252600 30355500 30598344 31222800 31731616 31873275 32269440 32379200 32413500 33614000 33998160 34574400 34692000 34969536 35414750 35683200 35698068 36303120 36426600 37044000 37815750 38247930 38416000 38855040 39028500 39664520 40336800 40474000 40797792 41489280 41630400 42497700 43218000 43711920 44604000 44622585 45330880 45378900 45533250 46256000 47597424 48404160 48568800 49392000 49580650 49956480 50421000 50997240 51861600 52038000 53122125 53547102 53782400 54397056 54639900 56663600 56723625 57624000 58084992 58282560 59472000 59496780 60505200 60711000 61196688 62445600 63463232 63746550 64758400 64827000 67228000 67996320 68299875 69148800 69384000 69939072 70829500 71396136 72606240 72853200 74088000 74370975 75631500 76495860 78057000 79329040 80673600 80948000 81595584 83260800 84995400 86436000 87423840 89208000 89245170 90661760 90757800 91066500 95194848 95619825 96808320 97137600 99161300 100842000 101994480 103723200 104076000 106244250 107094204 109279800 113327200 113447250 115248000 116565120 118993560 121010400 121422000 122393376 123951625 124891200 126926464 127493100 129654000 133867755 134456000 135992640 136599750 138768000 141659000 142792272 145212480 145706400 148176000 148741950 151263000 152991720 156114000 158658080 159366375 161347200 161896000 163191168 169990800 172872000 174847680 178416000 178490340 181515600 182133000 190389696 191239650 194275200 198322600 201684000 203988960 207446400 208152000 212488500 214188408 218559600 223112925 226654400 226894500 237987120 242020800 242844000 244786752 247903250 249782400 254986200 259308000 267735510 268912000 271985280 273199500 283318000 285584544 290424960 291412800 297483900 302526000 305983440 312228000 317316160 318732750 323792000 339981600 345744000 349695360 356980680 363031200 364266000 371854875 380779392 382479300 396645200 403368000 407977920 416304000 424977000 428376816 437119200 446225850 453308800 453789000 475974240 478099125 484041600 485688000 489573504 495806500 509972400 518616000 535471020 546399000 566636000 571169088 582825600 594967800 605052000 611966880 624456000 634632320 637465500 669338775 679963200 713961360 726062400 728532000 743709750 764958600 793290400 806736000 815955840 849954000 856753632 874238400 892451700 907578000 951948480 956198250 971376000 991613000 1019944800 1037232000 1070942040 1092798000 1115564625 1133272000 1142338176 1189935600 1210104000 1223933760 1248912000 1274931000 1338677550 1359926400 1427922720 1452124800 1457064000 1487419500 1529917200 1586580800 1699908000 1713507264 1748476800 1784903400 1815156000 1903896960 1912396500 1983226000 2039889600 2141884080 2185596000 2231129250 2266544000 2379871200 2420208000 2447867520 2549862000 2677355100 2855845440 2914128000 2974839000 3059834400 3173161600 3346693875 3399816000 3427014528 3569806800 3630312000 3824793000 3966452000 4079779200 4283768160 4371192000 4462258500 4759742400 5099724000 5354710200 5711690880 5949678000 6119668800 6693387750 6799632000 7139613600 7260624000 7649586000 7932904000 8567536320 8742384000 8924517000 9519484800 10199448000 10709420400 11899356000 12239337600 13386775500 14279227200 15299172000 15865808000 17135072640 17849034000 20398896000 21418840800 23798712000 26773551000 28558454400 30598344000 35698068000 42837681600 47597424000 53547102000 61196688000 71396136000 85675363200 107094204000 142792272000 214188408000 428376816000
• Sum of all divisors σ(n): 1872014976000
• Sum of proper divisors (its aliquot sum) s(n): 1443638160000
• 428376816000 is an abundant number, because the sum of its proper divisors (1443638160000) is greater than itself. Its abundance is 1015261344000

Bases of 428376816000

• Binary: 110001110111101001111110111100110000000₂
• Hexadecimal: 0x63BD3F7980
• Base-36: 5GSKHUO0

Squares and roots of 428376816000

• 428376816000 squared (428376816000²) is 183506696486297856000000
• 428376816000 cubed (428376816000³) is 78610014355478663180906496000000000
• The square root of 428376816000 is 654505.0160235595
• The cube root of 428376816000 is 7538.3330234501

Scales and comparisons

• 428,376,816,000 seconds is equal to 13,621 years, 3 weeks.
• To count from 1 to 428,376,816,000 would take you about twenty-seven thousand, two hundred forty-two 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 428376816000 cubic inches would be around 628.2 feet tall.

Recreational maths with 428376816000

• 428376816000 backwards is 000618673824
• 428376816000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 428376816000's digits is 45
• More coming soon!