420984470448

Names of 420984470448

• Cardinal: 420984470448 can be written as Four hundred twenty billion, nine hundred eighty-four million, four hundred seventy thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.20984470448 × 10¹¹

Factors of 420984470448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 108

Divisors of 420984470448

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 53 54 57 62 72 76 93 106 108 114 124 144 152 159 171 186 212 216 228 248 279 304 318 342 361 372 424 432 456 477 496 513 558 589 636 684 722 744 837 848 912 954 961 1007 1026 1083 1116 1178 1272 1368 1431 1444 1488 1643 1674 1767 1908 1922 2014 2052 2166 2232 2356 2544 2736 2809 2862 2883 2888 3021 3249 3286 3348 3534 3816 3844 4028 4104 4332 4464 4712 4929 5301 5618 5724 5766 5776 6042 6498 6572 6696 7068 7632 7688 8056 8208 8427 8649 8664 9063 9424 9747 9858 10602 11191 11236 11448 11532 12084 12996 13144 13392 14136 14787 15376 15903 16112 16854 17298 17328 18126 18259 19133 19494 19716 21204 22382 22472 22896 23064 24168 25281 25947 25992 26288 27189 28272 29574 31217 31806 33573 33708 34596 36252 36518 38266 38988 39432 42408 44361 44764 44944 46128 48336 50562 50933 51894 51984 53371 54378 54777 57399 59148 62434 63612 67146 67416 69192 72504 73036 75843 76532 77976 78864 84816 87079 88722 89528 93651 100719 101124 101866 103788 106742 108756 109554 114798 118296 124868 127224 134292 134832 138384 145008 146072 151686 152799 153064 155952 160113 164331 172197 174158 177444 179056 187302 201438 202248 203732 207576 213484 217512 219108 229596 236592 249736 254448 261237 268584 280953 292144 302157 303372 305598 306128 320226 328662 344394 346921 348316 354888 374604 402876 404496 407464 415152 426968 435024 438216 458397 459192 480339 492993 499472 516591 522474 537168 561906 593123 604314 606744 611196 640452 657324 688788 693842 696632 709776 749208 783711 805752 814928 842859 853936 876432 916794 918384 960678 967727 985986 1014049 1033182 1040763 1044948 1123812 1186246 1208628 1213488 1222392 1280904 1314648 1375191 1377576 1387684 1393264 1441017 1498416 1567422 1611504 1654501 1685718 1779369 1833588 1921356 1935454 1971972 2028098 2066364 2081526 2089896 2247624 2351133 2372492 2417256 2444784 2561808 2629296 2699449 2750382 2755152 2775368 2882034 2903181 3042147 3122289 3134844 3309002 3371436 3558738 3667176 3842712 3870908 3943944 4056196 4132728 4163052 4179792 4495248 4702266 4744984 4834512 4963503 5338107 5398898 5500764 5550736 5764068 5806362 6084294 6244578 6269688 6618004 6742872 7117476 7334352 7685424 7741816 7887888 8098347 8112392 8265456 8326104 8709543 9126441 9366867 9404532 9489968 9927006 10676214 10797796 11001528 11528136 11612724 12168588 12489156 12539376 13236008 13485744 14234952 14890509 15483632 16014321 16196694 16224784 16652208 17419086 18252882 18386813 18733734 18809064 19854012 21352428 21595592 22003056 23056272 23225448 24295041 24337176 24978312 26128629 26472016 27379323 28469904 29781018 31435519 32028642 32393388 34838172 36505764 36773626 37467468 37618128 39708024 42704856 43191184 44671527 46450896 48590082 48674352 49956624 51289531 52257258 54758646 55160439 59562036 62871038 64057284 64786776 69676344 72885123 73011528 73547252 74934936 79416048 85409712 89343054 94306557 97180164 102579062 104514516 109517292 110320878 119124072 125742076 128114568 129573552 139352688 145770246 146023056 147094504 149869872 153868593 165481317 178686108 188613114 194360328 205158124 209029032 219034584 220641756 238248144 251484152 256229136 282919671 291540492 294189008 307737186 330962634 357372216 377226228 388720656 410316248 418058064 438069168 441283512 461605779 496443951 502968304 565839342 583080984 615474372 661925268 714744432 754452456 820632496 848759013 882567024 923211558 974501089 992887902 1131678684 1166161968 1230948744 1323850536 1384817337 1508904912 1697518026 1846423116 1949002178 1985775804 2263357368 2461897488 2647701072 2769634674 2923503267 3395036052 3692846232 3898004356 3971551608 4526714736 5539269348 5847006534 6790072104 7385692464 7796008712 7943103216 8770509801 11078538696 11694013068 13580144208 15592017424 17541019602 22157077392 23388026136 26311529403 35082039204 46776052272 52623058806 70164078408 105246117612 140328156816 210492235224 420984470448
• Sum of all divisors σ(n): 1343127549960
• Sum of proper divisors (its aliquot sum) s(n): 922143079512
• 420984470448 is an abundant number, because the sum of its proper divisors (922143079512) is greater than itself. Its abundance is 501158609064

Bases of 420984470448

• Binary: 110001000000100101000010011101110110000₂
• Hexadecimal: 0x6204A13BB0
• Base-36: 5DEBA8C0

Squares and roots of 420984470448

• 420984470448 squared (420984470448²) is 177227924358382985320704
• 420984470448 cubed (420984470448³) is 74610203884612061244809930890555392
• The square root of 420984470448 is 648833.1607185317
• The cube root of 420984470448 is 7494.7190702837

Scales and comparisons

• 420,984,470,448 seconds is equal to 13,386 years, 1 day, 10 hours, 40 minutes, 48 seconds.
• To count from 1 to 420,984,470,448 would take you about twenty-six thousand, seven hundred seventy-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 420984470448 cubic inches would be around 624.6 feet tall.

Recreational maths with 420984470448

• 420984470448 backwards is 844074489024
• 420984470448 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 420984470448's digits is 54
• More coming soon!