470144080800

Names of 470144080800

• Cardinal: 470144080800 can be written as Four hundred seventy billion, one hundred forty-four million, eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.701440808 × 10¹¹

Factors of 470144080800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 6505

Divisors of 470144080800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 72 75 80 82 90 96 100 120 123 144 150 160 164 180 200 205 225 240 246 257 288 300 328 360 369 400 410 450 480 492 514 600 615 656 720 738 771 800 820 900 984 1025 1028 1200 1230 1285 1312 1440 1476 1542 1640 1800 1845 1968 2050 2056 2313 2400 2460 2570 2952 3075 3084 3280 3600 3690 3855 3936 4100 4112 4626 4920 5140 5904 6150 6168 6197 6425 6560 7200 7380 7710 8200 8224 9225 9252 9840 10280 10537 11565 11808 12300 12336 12394 12850 14760 15420 16400 18450 18504 18591 19275 19680 20560 21074 23130 24600 24672 24788 25700 29520 30840 30985 31611 32800 36900 37008 37182 38550 41120 42148 46260 49200 49576 51400 52685 55773 57825 59040 61680 61970 63222 73800 74016 74364 77100 84296 92520 92955 94833 98400 99152 102800 105370 111546 115650 123360 123940 126444 147600 148728 154200 154925 158055 168592 185040 185910 189666 198304 205600 210740 223092 231300 247880 252888 254077 263425 278865 295200 297456 308400 309850 316110 337184 370080 371820 379332 421480 446184 462600 464775 474165 495760 505776 508154 526850 557730 594912 616800 619700 632220 743640 758664 762231 790275 842960 892368 925200 929550 948330 991520 1011552 1016308 1053700 1115460 1239400 1264440 1270385 1394325 1487280 1517328 1524462 1580550 1592629 1685920 1784736 1850400 1859100 1896660 2032616 2107400 2230920 2286693 2370825 2478800 2528880 2540770 2788650 2974560 3034656 3048924 3161100 3185258 3718200 3793320 3811155 4065232 4214800 4461840 4573386 4741650 4777887 4957600 5057760 5081540 5577300 6097848 6322200 6351925 6370516 7436400 7586640 7622310 7963145 8130464 8429600 8923680 9146772 9483300 9555774 10163080 11154600 11433465 12195696 12644400 12703850 12741032 14333661 14872800 15173280 15244620 15926290 18293544 18966600 19055775 19111548 20326160 22309200 22866930 23889435 24391392 25288800 25407700 25482064 28667322 30489240 31852580 36587088 37933200 38111550 38223096 39815725 40652320 44618400 45733860 47778870 50815400 50964128 57167325 57334644 60978480 63705160 65297789 71668305 73174176 75866400 76223100 76446192 79631450 91467720 95557740 101630800 114334650 114669288 119447175 121956960 127410320 130595578 143336610 152446200 152892384 159262900 182935440 191115480 195893367 203261600 228669300 229338576 238894350 254820640 261191156 286673220 304892400 318525800 326488945 358341525 365870880 382230960 391786734 457338600 458677152 477788700 522382312 573346440 587680101 609784800 637051600 652977890 716683050 764461920 783573468 914677200 955577400 979466835 1044764624 1146692880 1175360202 1274103200 1305955780 1433366100 1567146936 1632444725 1829354400 1911154800 1958933670 2089529248 2293385760 2350720404 2611911560 2866732200 2938400505 3134293872 3264889450 3822309600 3917867340 4701440808 4897334175 5223823120 5733464400 5876801010 6268587744 6529778900 7835734680 9402881616 9794668350 10447646240 11466928800 11753602020 13059557800 14692002525 15671469360 18805763232 19589336700 23507204040 26119115600 29384005050 31342938720 39178673400 47014408080 52238231200 58768010100 78357346800 94028816160 117536020200 156714693600 235072040400 470144080800
• Sum of all divisors σ(n): 1705164034392
• Sum of proper divisors (its aliquot sum) s(n): 1235019953592
• 470144080800 is an abundant number, because the sum of its proper divisors (1235019953592) is greater than itself. Its abundance is 764875872792

Bases of 470144080800

• Binary: 110110101110110110001010101101110100000₂
• Hexadecimal: 0x6D76C55BA0
• Base-36: 5ZZBNAG0

Squares and roots of 470144080800

• 470144080800 squared (470144080800²) is 221035456711276928640000
• 470144080800 cubed (470144080800³) is 103918511619731482609699994112000000
• The square root of 470144080800 is 685670.5337113447
• The cube root of 470144080800 is 7775.7745022375

Scales and comparisons

• 470,144,080,800 seconds is equal to 14,949 years, 6 weeks, 4 days, 10 hours.
• To count from 1 to 470,144,080,800 would take you about twenty-nine thousand, eight hundred ninety-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 470144080800 cubic inches would be around 648 feet tall.

Recreational maths with 470144080800

• 470144080800 backwards is 008080441074
• 470144080800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 470144080800's digits is 36
• More coming soon!