4048121003713745
4,048,121,003,713,745 is an odd composite number composed of five prime numbers multiplied together.
What does the number 4048121003713745 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
4048121003713745 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4048121003713745:
5 × 72 × 293 × 312 × 893
(5 × 7 × 7 × 29 × 29 × 29 × 31 × 31 × 89 × 89 × 89)See below for interesting mathematical facts about the number 4048121003713745 from the Numbermatics database.
Names of 4048121003713745
- Cardinal: 4048121003713745 can be written as Four quadrillion, forty-eight trillion, one hundred twenty-one billion, three million, seven hundred thirteen thousand, seven hundred forty-five.
Scientific notation
- Scientific notation: 4.048121003713745 × 1015
Factors of 4048121003713745
Divisors of 4048121003713745
- Number of divisors d(n): 288
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Complete list of divisors:
1 5 7 29 31 35 49 89 145 155 203 217 245 445 623 841 899 961 1015 1085 1421 1519 2581 2759 3115 4205 4361 4495 4805 5887 6293 6727 7105 7595 7921 12905 13795 18067 19313 21805 24389 26071 27869 29435 31465 33635 39605 41209 44051 47089 55447 74849 80011 85529 90335 96565 121945 126469 130355 135191 139345 170723 182497 195083 206045 220255 229709 235445 245551 277235 374245 388129 400055 427645 523943 560077 598703 632345 675955 704969 756059 808201 853615 912485 975415 1148545 1195061 1227755 1277479 1365581 1607963 1718857 1940645 2170621 2320319 2480341 2619715 2800385 2993515 3524845 3667601 3780295 3920539 4041005 4190921 4934783 5292413 5657407 5975305 6387395 6661561 6827905 7120979 7612081 8039815 8594285 10853105 11255741 11601595 12031999 12401705 15194347 16242233 17362387 18338005 19602695 20444101 20954605 21854039 23437829 24673915 26462065 28287035 33307805 34543481 35604895 37046891 38060405 39601849 46630927 49846853 53284567 56278705 60159995 67289251 71929889 75971735 81211165 86811935 102220505 106360429 109270195 113695631 117189145 121536709 143108707 152978273 164064803 172717405 185234455 193185269 198009245 206508391 220750349 233154635 249234265 266422835 326416489 336446255 348927971 359649445 372991969 471024757 503509223 531802145 568478155 592878929 607683545 633767131 677475209 715543535 764891365 820324015 965926345 1001760949 1032541955 1070847911 1103751745 1148453621 1352296883 1445558737 1545252443 1632082445 1744639855 1864959845 2085966781 2355123785 2517546115 2964394645 3168835655 3297173299 3387376045 3524564561 4150152503 4436369917 4742326463 5008804745 5354239555 5742268105 5988743339 6401760121 6761484415 7227793685 7726262215 9466078181 10118911159 10429833905 10816767101 14601767467 16485866495 17193488941 17622822805 18379246799 19646781061 20750762515 22181849585 23711632315 29051067521 29943716695 31054589419 32008800605 33196285241 41921203373 44812320847 47330390905 50594555795 54083835505 73008837335 85967444705 91896233995 98233905305 102212372269 120354422587 128654727593 137527467427 145255337605 155272947095 165981426205 185651043509 209606016865 224061604235 293448423611 313686245929 511061861345 532998157171 569756650769 601772112935 643273637965 687637337135 842480958109 900583093151 928255217545 962692271989 1299557304563 1467242118055 1568431229645 2664990785855 2848783253845 3730987100197 3988296555383 4212404790545 4502915465755 4813461359945 6497786522815 9096901131941 16522942872301 18654935500985 19941482776915 26116909701379 27918075887681 45484505659705 82614714361505 115660600106107 130584548506895 139590379438405 578303000530535 809624200742749 4048121003713745
- Sum of all divisors σ(n): 6116261541328800
- Sum of proper divisors (its aliquot sum) s(n): 2068140537615055
- 4048121003713745 is a deficient number, because the sum of its proper divisors (2068140537615055) is less than itself. Its deficiency is 1979980466098690
Bases of 4048121003713745
- Binary: 11100110000110111110100111100110111100100100110100012
- Hexadecimal: 0xE61BE9E6F24D1
- Base-36: 13UXT4682J5
Squares and roots of 4048121003713745
- 4048121003713745 squared (40481210037137452) is 16387283660708378260081901925025
- 4048121003713745 cubed (40481210037137453) is 66337707180728653669118445124121990889551968625
-
The
square root of 4048121003713745 is 63624845.8050292253 -
The
cube root of 4048121003713745 is 159374.1305578979
Scales and comparisons
How big is 4048121003713745?- 4,048,121,003,713,745 seconds is equal to 128,717,726 years, 13 weeks, 2 days, 19 hours, 9 minutes, 5 seconds.
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To count from 1 to 4,048,121,003,713,745 would take you about three hundred eighty-six million, one hundred fifty-three thousand, one hundred seventy-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 4048121003713745 cubic inches would be around 13281.2 feet tall.
Recreational maths with 4048121003713745
- 4048121003713745 backwards is 5473173001218404
- The number of decimal digits it has is: 16
- The sum of 4048121003713745's digits is 50
- More coming soon!
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