480406080
480,406,080 is an even composite number composed of seven prime numbers multiplied together.
480406080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 480406080:
26 × 3 × 5 × 7 × 11 × 67 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 67 × 97)See below for interesting mathematical facts about the number 480406080 from the Numbermatics database.
Names of 480406080
- Cardinal: 480406080 can be written as Four hundred eighty million, four hundred six thousand and eighty.
Scientific notation
- Scientific notation: 4.8040608 × 108
Factors of 480406080
Divisors of 480406080
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 67 70 77 80 84 88 96 97 105 110 112 120 132 134 140 154 160 165 168 176 192 194 201 210 220 224 231 240 264 268 280 291 308 320 330 335 336 352 385 388 402 420 440 448 462 469 480 485 528 536 560 582 616 660 670 672 679 704 737 770 776 804 840 880 924 938 960 970 1005 1056 1067 1072 1120 1155 1164 1232 1320 1340 1344 1358 1407 1455 1474 1540 1552 1608 1680 1760 1848 1876 1940 2010 2037 2112 2134 2144 2211 2240 2310 2328 2345 2464 2640 2680 2716 2814 2910 2948 3080 3104 3201 3216 3360 3395 3520 3685 3696 3752 3880 4020 4074 4268 4288 4422 4620 4656 4690 4928 5159 5280 5335 5360 5432 5628 5820 5896 6160 6208 6402 6432 6499 6720 6790 7035 7370 7392 7469 7504 7760 8040 8148 8536 8844 9240 9312 9380 10185 10318 10560 10670 10720 10864 11055 11256 11640 11792 12320 12804 12864 12998 13580 14070 14740 14784 14938 15008 15477 15520 16005 16080 16296 17072 17688 18480 18624 18760 19497 20370 20636 21340 21440 21728 22110 22407 22512 23280 23584 24640 25608 25795 25996 27160 28140 29480 29876 30016 30954 31040 32010 32160 32495 32592 34144 35376 36960 37345 37520 38994 40740 41272 42680 43456 44220 44814 45024 45493 46560 47168 51216 51590 51992 54320 56280 58960 59752 61908 64020 64320 64990 65184 68288 70752 71489 73920 74690 75040 77385 77988 81480 82544 85360 88440 89628 90048 90986 93120 97485 102432 103180 103984 108640 112035 112560 117920 119504 123816 128040 129980 130368 136479 141504 142978 149380 150080 154770 155976 162960 165088 170720 176880 179256 181972 194970 204864 206360 207968 214467 217280 224070 225120 227465 235840 239008 247632 256080 259960 272958 285956 298760 309540 311952 325920 330176 341440 353760 357445 358512 363944 389940 412720 415936 428934 448140 450240 454930 478016 495264 500423 512160 519920 545916 571912 597520 619080 623904 651840 682395 707520 714890 717024 727888 779880 825440 857868 896280 909860 990528 1000846 1024320 1039840 1072335 1091832 1143824 1195040 1238160 1247808 1364790 1429780 1434048 1455776 1501269 1559760 1650880 1715736 1792560 1819720 2001692 2079680 2144670 2183664 2287648 2390080 2476320 2502115 2729580 2859560 2911552 3002538 3119520 3431472 3585120 3639440 4003384 4289340 4367328 4575296 4952640 5004230 5459160 5719120 6005076 6239040 6862944 7170240 7278880 7506345 8006768 8578680 8734656 10008460 10918320 11438240 12010152 13725888 14557760 15012690 16013536 17157360 20016920 21836640 22876480 24020304 30025380 32027072 34314720 40033840 43673280 48040608 60050760 68629440 80067680 96081216 120101520 160135360 240203040 480406080
- Sum of all divisors σ(n): 1949939712
- Sum of proper divisors (its aliquot sum) s(n): 1469533632
- 480406080 is an abundant number, because the sum of its proper divisors (1469533632) is greater than itself. Its abundance is 989127552
Bases of 480406080
- Binary: 111001010001001101010010000002
- Hexadecimal: 0x1CA26A40
- Base-36: 7Y0RPC
Squares and roots of 480406080
- 480406080 squared (4804060802) is 230790001700966400
- 480406080 cubed (4804060803) is 110872920020354600435712000
-
The
square root of 480406080 is 21918.1678066393 -
The
cube root of 480406080 is 783.1942645327
Scales and comparisons
How big is 480406080?- 480,406,080 seconds is equal to 15 years, 14 weeks, 2 days, 6 hours, 8 minutes.
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To count from 1 to 480,406,080 would take you about twenty-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 480406080 cubic inches would be around 65.3 feet tall.
Recreational maths with 480406080
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