428048824320

Names of 428048824320

• Cardinal: 428048824320 can be written as Four hundred twenty-eight billion, forty-eight million, eight hundred twenty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.2804882432 × 10¹¹

Factors of 428048824320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 9184

Divisors of 428048824320

• Number of divisors d(n): 576
• 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 80 90 96 104 108 117 120 128 130 135 144 156 160 169 180 192 195 208 216 234 240 256 260 270 288 312 320 338 351 360 384 390 416 432 468 480 507 512 520 540 576 585 624 640 676 702 720 768 780 832 845 864 936 960 1014 1024 1040 1080 1152 1170 1248 1280 1352 1404 1440 1521 1536 1560 1664 1690 1728 1755 1872 1920 2028 2048 2080 2160 2304 2340 2496 2535 2560 2704 2808 2880 3042 3072 3120 3328 3380 3456 3510 3744 3840 4056 4160 4320 4563 4608 4680 4992 5070 5120 5408 5616 5760 6084 6144 6240 6656 6760 6912 7020 7488 7605 7680 8112 8320 8640 9126 9161 9216 9360 9984 10140 10240 10816 11232 11520 12168 12480 13312 13520 13824 14040 14976 15210 15360 16224 16640 17280 18252 18322 18432 18720 19968 20280 21632 22464 22815 23040 24336 24960 26624 27040 27483 27648 28080 29952 30420 30720 32448 33280 34560 36504 36644 37440 39936 40560 43264 44928 45630 45805 46080 48672 49920 54080 54966 55296 56160 59904 60840 64896 66560 69120 73008 73288 74880 79872 81120 82449 86528 89856 91260 91610 92160 97344 99840 108160 109932 112320 119093 119808 121680 129792 133120 137415 138240 146016 146576 149760 162240 164898 173056 179712 182520 183220 194688 199680 216320 219864 224640 238186 239616 243360 247347 259584 274830 276480 292032 293152 299520 324480 329796 346112 357279 359424 365040 366440 389376 399360 412245 432640 439728 449280 476372 486720 494694 519168 549660 584064 586304 595465 599040 648960 659592 714558 718848 730080 732880 778752 824490 865280 879456 898560 952744 973440 989388 1038336 1071837 1099320 1168128 1172608 1190930 1198080 1236735 1297920 1319184 1429116 1460160 1465760 1548209 1557504 1648980 1730560 1758912 1786395 1797120 1905488 1946880 1978776 2143674 2198640 2336256 2345216 2381860 2473470 2595840 2638368 2858232 2920320 2931520 3096418 3115008 3215511 3297960 3517824 3572790 3594240 3810976 3893760 3957552 4287348 4397280 4644627 4672512 4690432 4763720 4946940 5191680 5276736 5359185 5716464 5840640 5863040 6192836 6431022 6595920 7035648 7145580 7621952 7741045 7787520 7915104 8574696 8794560 9289254 9345024 9380864 9527440 9893880 10553472 10718370 11432928 11681280 11726080 12385672 12862044 13191840 13933881 14071296 14291160 15243904 15482090 15575040 15830208 16077555 17149392 17589120 18578508 18761728 19054880 19787760 21106944 21436740 22865856 23223135 23362560 23452160 24771344 25724088 26383680 27867762 28142592 28582320 30487808 30964180 31660416 32155110 34298784 35178240 37157016 38109760 39575520 41801643 42213888 42873480 45731712 46446270 46725120 46904320 49542688 51448176 52767360 55735524 56285184 57164640 60975616 61928360 63320832 64310220 68597568 69669405 70356480 74314032 76219520 79151040 83603286 84427776 85746960 91463424 92892540 93808640 99085376 102896352 105534720 111471048 114329280 121951232 123856720 126641664 128620440 137195136 139338810 140712960 148628064 152439040 158302080 167206572 168855552 171493920 182926848 185785080 198170752 205792704 209008215 211069440 222942096 228658560 243902464 247713440 253283328 257240880 274390272 278677620 281425920 297256128 304878080 316604160 334413144 342987840 365853696 371570160 396341504 411585408 418016430 422138880 445884192 457317120 495426880 506566656 514481760 548780544 557355240 594512256 609756160 633208320 668826288 685975680 731707392 743140320 792683008 823170816 836032860 844277760 891768384 914634240 990853760 1028963520 1097561088 1114710480 1189024512 1219512320 1266416640 1337652576 1371951360 1486280640 1585366016 1646341632 1672065720 1783536768 1829268480 1981707520 2057927040 2195122176 2229420960 2378049024 2532833280 2675305152 2743902720 2972561280 3170732032 3292683264 3344131440 3567073536 3658536960 3963415040 4115854080 4458841920 4756098048 5350610304 5487805440 5945122560 6585366528 6688262880 7134147072 7926830080 8231708160 8917683840 9512196096 10701220608 10975610880 11890245120 13376525760 14268294144 15853660160 16463416320 17835367680 21402441216 23780490240 26753051520 28536588288 32926832640 35670735360 42804882432 47560980480 53506103040 71341470720 85609764864 107012206080 142682941440 214024412160 428048824320
• Sum of all divisors σ(n): 1647807688800
• Sum of proper divisors (its aliquot sum) s(n): 1219758864480
• 428048824320 is an abundant number, because the sum of its proper divisors (1219758864480) is greater than itself. Its abundance is 791710040160

Bases of 428048824320

• Binary: 110001110101001101100101011100000000000₂
• Hexadecimal: 0x63A9B2B800
• Base-36: 5GN57UO0

Squares and roots of 428048824320

• 428048824320 squared (428048824320²) is 183225796001734223462400
• 428048824320 cubed (428048824320³) is 78429586563638491034188479725568000
• The square root of 428048824320 is 654254.4033630955
• The cube root of 428048824320 is 7536.4085948285

Scales and comparisons

• 428,048,824,320 seconds is equal to 13,610 years, 32 weeks, 4 days, 19 hours, 12 minutes.
• To count from 1 to 428,048,824,320 would take you about twenty-seven thousand, two hundred twenty-one 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 428048824320 cubic inches would be around 628 feet tall.

Recreational maths with 428048824320

• 428048824320 backwards is 023428840824
• 428048824320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 428048824320's digits is 45
• More coming soon!