42382123948800

Names of 42382123948800

• Cardinal: 42382123948800 can be written as Forty-two trillion, three hundred eighty-two billion, one hundred twenty-three million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 4.23821239488 × 10¹³

Factors of 42382123948800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 15671

Divisors of 42382123948800

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 540 576 600 640 675 720 768 800 864 900 960 1080 1152 1200 1280 1350 1440 1600 1728 1800 1920 2160 2304 2400 2700 2880 3200 3456 3600 3840 4320 4800 5400 5760 6400 6912 7200 8640 9600 10800 11520 14400 15661 17280 19200 21600 28800 31322 34560 43200 46983 57600 62644 78305 86400 93966 125288 140949 156610 172800 187932 234915 250576 281898 313220 375864 391525 422847 469830 501152 563796 626440 704745 751728 783050 845694 939660 1002304 1127592 1174575 1252880 1409490 1503456 1566100 1691388 1879320 2004608 2114235 2255184 2349150 2505760 2818980 3006912 3132200 3382776 3523725 3758640 4009216 4228470 4510368 4698300 5011520 5637960 6013824 6264400 6765552 7047450 7517280 8456940 9020736 9396600 10023040 10571175 11275920 12027648 12528800 13531104 14094900 15034560 16913880 18041472 18793200 20046080 21142350 22551840 25057600 27062208 28189800 30069120 33827760 36082944 37586400 42284700 45103680 50115200 54124416 56379600 60138240 67655520 75172800 84569400 90207360 100230400 108248832 112759200 135311040 150345600 169138800 180414720 225518400 245266921 270622080 300691200 338277600 451036800 490533842 541244160 676555200 735800763 902073600 981067684 1226334605 1353110400 1471601526 1962135368 2207402289 2452669210 2706220800 2943203052 3679003815 3924270736 4414804578 4905338420 5886406104 6131673025 6622206867 7358007630 7848541472 8829609156 9810676840 11037011445 11772812208 12263346050 13244413734 14716015260 15697082944 17659218312 18395019075 19621353680 22074022890 23545624416 24526692100 26488827468 29432030520 31394165888 33111034335 35318436624 36790038150 39242707360 44148045780 47091248832 49053384200 52977654936 55185057225 58864061040 62788331776 66222068670 70636873248 73580076300 78485414720 88296091560 94182497664 98106768400 105955309872 110370114450 117728122080 132444137340 141273746496 147160152600 156970829440 165555171675 176592183120 188364995328 196213536800 211910619744 220740228900 235456244160 264888274680 282547492992 294320305200 313941658880 331110343350 353184366240 392427073600 423821239488 441480457800 470912488320 529776549360 565094985984 588640610400 662220686700 706368732480 784854147200 847642478976 882960915600 941824976640 1059553098720 1177281220800 1324441373400 1412737464960 1569708294400 1695284957952 1765921831200 2119106197440 2354562441600 2648882746800 2825474929920 3531843662400 4238212394880 4709124883200 5297765493600 7063687324800 8476424789760 10595530987200 14127374649600 21191061974400 42382123948800
• Sum of all divisors σ(n): 155420855892120
• Sum of proper divisors (its aliquot sum) s(n): 113038731943320
• 42382123948800 is an abundant number, because the sum of its proper divisors (113038731943320) is greater than itself. Its abundance is 70656607994520

Bases of 42382123948800

• Binary: 1001101000101111011011011100010101101100000000₂
• Hexadecimal: 0x268BDB715B00
• Base-36: F0U2UBPC0

Squares and roots of 42382123948800

• 42382123948800 squared (42382123948800²) is 1796244430411446505021440000
• 42382123948800 cubed (42382123948800³) is 76128654092039581958119231681462272000000
• The square root of 42382123948800 is 6510155.4473606849
• The cube root of 42382123948800 is 34865.3668435529

Scales and comparisons

• 42,382,123,948,800 seconds is equal to 1,347,620 years, 23 weeks, 1 day.
• To count from 1 to 42,382,123,948,800 would take you about three million, three hundred sixty-nine thousand and fifty-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 42382123948800 cubic inches would be around 2905.4 feet tall.

Recreational maths with 42382123948800

• 42382123948800 backwards is 00884932128324
• 42382123948800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42382123948800's digits is 54
• More coming soon!