428320268640

Names of 428320268640

• Cardinal: 428320268640 can be written as Four hundred twenty-eight billion, three hundred twenty million, two hundred sixty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.2832026864 × 10¹¹

Factors of 428320268640

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 673

Divisors of 428320268640

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 30 32 33 34 36 40 43 44 45 48 51 55 60 66 68 71 72 80 85 86 88 90 96 99 102 110 120 129 132 136 142 144 153 160 165 170 172 176 180 187 198 204 213 215 220 240 255 258 264 272 284 288 306 330 340 344 352 355 360 374 387 396 408 426 430 440 473 480 495 510 516 521 528 544 561 568 612 639 645 660 680 688 710 720 731 748 765 774 781 792 816 852 860 880 935 946 990 1020 1032 1042 1056 1065 1122 1136 1207 1224 1278 1290 1320 1360 1376 1419 1420 1440 1462 1496 1530 1548 1562 1563 1584 1632 1683 1704 1720 1760 1870 1892 1935 1980 2040 2064 2084 2130 2193 2244 2272 2343 2365 2414 2448 2556 2580 2605 2640 2720 2805 2838 2840 2924 2992 3053 3060 3096 3124 3126 3168 3195 3366 3408 3440 3621 3655 3740 3784 3870 3905 3960 4080 4128 4168 4257 4260 4386 4488 4686 4689 4730 4828 4896 5112 5160 5210 5280 5610 5676 5680 5731 5848 5984 6035 6106 6120 6192 6248 6252 6390 6579 6732 6816 6880 7029 7095 7242 7310 7480 7568 7740 7810 7815 7920 8041 8160 8336 8415 8514 8520 8772 8857 8976 9159 9372 9378 9460 9656 10224 10320 10420 10863 10965 11220 11352 11360 11462 11696 11715 12070 12212 12240 12384 12496 12504 12780 13158 13277 13464 14058 14190 14484 14620 14960 15136 15265 15480 15620 15630 15840 16082 16672 16830 17028 17040 17193 17544 17714 17952 18105 18318 18744 18756 18920 19312 20448 20640 20840 21285 21726 21930 22403 22440 22704 22924 23392 23430 23445 24123 24140 24424 24480 24992 25008 25560 26316 26554 26571 26928 27477 28116 28380 28655 28968 29240 29920 30530 30960 31240 31260 32164 32895 33583 33660 34056 34080 34386 35088 35145 35428 36210 36636 36991 37488 37512 37840 38624 39831 40205 41680 42570 43452 43860 44285 44806 44880 45408 45795 45848 46860 46890 48246 48280 48848 50016 51120 51579 51901 52632 53108 53142 53856 54315 54954 56232 56760 57310 57936 58480 61060 61920 62480 62520 64328 65790 66385 67166 67209 67320 68112 68772 70176 70290 70856 72369 72420 73272 73982 74976 75024 75680 79662 79713 80410 83360 85140 85965 86904 87720 88570 89612 89760 91590 91696 93720 93780 96492 96560 97427 97696 100749 102240 103158 103802 105264 106216 106284 108630 109908 110973 112015 112464 113520 114620 115872 116960 119493 120615 122120 124960 125040 128656 131580 132770 132855 134332 134418 134640 136224 137385 137544 140580 141712 144738 144840 146544 147964 150048 155703 159324 159426 160820 167915 170280 171930 173808 175440 177140 179224 183180 183392 184955 187440 187560 192984 193120 194854 199155 201498 201627 206316 207604 210528 212432 212568 217260 219816 221946 224030 224928 227040 229240 238986 241230 244240 246433 250080 257312 257895 259505 263160 265540 265710 268664 268836 269280 274770 275088 281160 283424 289476 289680 292281 293088 295928 302247 311406 318648 318852 321640 332919 335830 336045 340560 343860 347616 350880 354280 358448 361845 366360 369910 374880 375120 380851 385968 389708 398310 398565 402996 403254 406901 412632 415208 424864 425136 434520 439632 443892 448060 458480 467109 477972 482460 487135 488480 492866 503745 515790 519010 526320 531080 531420 537328 537672 549540 550176 554865 562320 570911 578952 579360 584562 591856 597465 604494 622812 628847 637296 637704 643280 665838 671660 672090 681120 687720 708560 716896 723690 732720 739299 739820 750240 761702 771936 778515 779416 796620 797130 805992 806508 813802 825264 830416 850272 869040 876843 879264 887784 896120 916960 934218 955944 964920 974270 985732 1007490 1008135 1031580 1038020 1052640 1062160 1062840 1074656 1075344 1099080 1109730 1124640 1141822 1142553 1157904 1169124 1183712 1194930 1208988 1220703 1232165 1245624 1257694 1274592 1275408 1286560 1331676 1343320 1344180 1375440 1417120 1447380 1461405 1465440 1478598 1479640 1511235 1523404 1557030 1558832 1590613 1593240 1594260 1611984 1613016 1627604 1650528 1660832 1664595 1712733 1738080 1753686 1775568 1792240 1868436 1886541 1904255 1911888 1929840 1948540 1971464 2014980 2016270 2034505 2063160 2076040 2124320 2125680 2150688 2198160 2217897 2219460 2283644 2285106 2315808 2335545 2338248 2389860 2417976 2441406 2464330 2491248 2515388 2550816 2663352 2686640 2688360 2750880 2854555 2894760 2922810 2957196 2959280 3022470 3046808 3114060 3117664 3144235 3181226 3186480 3188520 3223968 3226032 3255208 3329190 3425466 3427659 3507372 3551136 3584480 3662109 3696495 3736872 3773082 3808510 3823776 3859680 3897080 3942928 4029960 4032540 4069010 4126320 4152080 4189361 4251360 4384215 4396320 4435794 4438920 4567288 4570212 4671090 4676496 4771839 4779720 4835952 4882812 4928660 4982496 5030776 5138199 5326704 5373280 5376720 5659623 5709110 5712765 5789520 5845620 5914392 5918560 6044940 6093616 6103515 6228120 6288470 6362452 6372960 6377040 6452064 6510416 6658380 6850932 6855318 6917317 7014744 7324218 7392990 7473744 7546164 7617020 7794160 7885856 7953065 8059920 8065080 8138020 8252640 8304160 8378722 8563665 8768430 8871588 8877840 9134576 9140424 9342180 9352992 9432705 9543678 9559440 9671904 9765624 9857320 10061552 10276398 10653408 10753440 11089485 11319246 11418220 11425530 11579040 11691240 11828784 12089880 12187232 12207030 12456240 12568083 12576940 12724904 12754080 13020832 13316760 13701864 13710636 13834634 14029488 14315517 14648436 14785980 14947488 15092328 15234040 15588320 15906130 16119840 16130160 16276040 16757444 17127330 17138295 17496743 17536860 17743176 17755680 18269152 18280848 18310545 18684360 18865410 19087356 19118880 19531248 19714640 20123104 20552796 20751951 20946805 22178970 22638492 22836440 22851060 23382480 23657568 23859195 24179760 24414060 24912480 25136166 25153880 25449808 25690995 26633520 27040421 27403728 27421272 27669268 28058976 28298115 28631034 29296872 29571960 30184656 30468080 31812260 32260320 32552080 33514888 34254660 34276590 34586585 34993486 35073720 35486352 36561696 36621090 37368720 37704249 37730820 38174712 39062496 39429280 41105592 41503902 41893610 44357940 45276984 45672880 45702120 46764960 47718390 48359520 48828120 50272332 50307760 50899616 51381990 52490229 53267040 54080842 54807456 54842544 55338536 56596230 57262068 58593744 59143920 60369312 60936160 62255853 62840415 63624520 65104160 67029776 68509320 68553180 69173170 69986972 70147440 70972704 71577585 73242180 74737440 75408498 75461640 76349424 81121263 82211184 83007804 83787220 87483715 88715880 90553968 91345760 91404240 95436780 97656240 100544664 100615520 102763980 103759755 104980458 108161684 109685088 110677072 113192460 114524136 117187488 118287840 124511706 125680830 127249040 134059552 135202105 137018640 137106360 138346340 139973944 140294880 143155170 146484360 150816996 150923280 152698848 157470687 162242526 164422368 166015608 167574440 174967430 177431760 181107936 182808480 188521245 190873560 195312480 201089328 205527960 207519510 209960916 216323368 221354144 226384920 229048272 243363789 249023412 251361660 254498080 262451145 270404210 274037280 274212720 276692680 279947888 286310340 292968720 297444631 301633992 301846560 311279265 314941374 324485052 332031216 335148880 349934860 354863520 377042490 381747120 402178656 405606315 411055920 415039020 419921832 432646736 452769840 458096544 486727578 498046824 502723320 524902290 540808420 548425440 553385360 559895776 572620680 585937440 594889262 603267984 622558530 629882748 648970104 664062432 670297760 699869720 754084980 763494240 787353435 811212630 822111840 830078040 839843664 865293472 892333893 905539680 973455156 996093648 1005446640 1049804580 1081616840 1106770720 1145241360 1189778524 1206535968 1216818945 1245117060 1259765496 1297940208 1399739440 1487223155 1508169960 1574706870 1622425260 1660156080 1679687328 1784667786 1946910312 1992187296 2010893280 2099609160 2163233680 2290482720 2379557048 2433637890 2490234120 2519530992 2595880416 2677001679 2799478880 2974446310 3016339920 3149413740 3244850520 3320312160 3569335572 3893820624 4199218320 4326467360 4461669465 4759114096 4867275780 4980468240 5039061984 5354003358 5948892620 6032679840 6298827480 6489701040 7138671144 7787641248 8398436640 8923338930 9518228192 9734551560 9960936480 10708006716 11897785240 12597654960 12979402080 13385008395 14277342288 17846677860 19469103120 21416013432 23795570480 25195309920 26770016790 28554684576 35693355720 38938206240 42832026864 47591140960 53540033580 71386711440 85664053728 107080067160 142773422880 214160134320 428320268640
• Sum of all divisors σ(n): 1755272623104
• Sum of proper divisors (its aliquot sum) s(n): 1326952354464
• 428320268640 is an abundant number, because the sum of its proper divisors (1326952354464) is greater than itself. Its abundance is 898632085824

Bases of 428320268640

• Binary: 110001110111001111000001010000101100000₂
• Hexadecimal: 0x63B9E0A160
• Base-36: 5GRMTUG0

Squares and roots of 428320268640

• 428320268640 squared (428320268640²) is 183458252527841767449600
• 428320268640 cubed (428320268640³) is 78578888006950144913425079660544000
• The square root of 428320268640 is 654461.8160290179
• The cube root of 428320268640 is 7538.0013126967

Scales and comparisons

• 428,320,268,640 seconds is equal to 13,619 years, 13 weeks, 3 days, 12 hours, 24 minutes.
• To count from 1 to 428,320,268,640 would take you about twenty-seven thousand, two hundred thirty-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 428320268640 cubic inches would be around 628.2 feet tall.

Recreational maths with 428320268640

• 428320268640 backwards is 046862023824
• 428320268640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 428320268640's digits is 45
• More coming soon!