472487714405881020
472,487,714,405,881,020 is an even composite number composed of seven prime numbers multiplied together.
What does the number 472487714405881020 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
472487714405881020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 472487714405881020:
22 × 32 × 5 × 7 × 11 × 131 × 260229180797
(2 × 2 × 3 × 3 × 5 × 7 × 11 × 131 × 260229180797)See below for interesting mathematical facts about the number 472487714405881020 from the Numbermatics database.
Names of 472487714405881020
- Cardinal: 472487714405881020 can be written as Four hundred seventy-two quadrillion, four hundred eighty-seven trillion, seven hundred fourteen billion, four hundred five million, eight hundred eighty-one thousand and twenty.
Scientific notation
- Scientific notation: 4.7248771440588102 × 1017
Factors of 472487714405881020
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 260229180956
Divisors of 472487714405881020
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 131 132 140 154 165 180 198 210 220 231 252 262 308 315 330 385 393 396 420 462 495 524 630 655 660 693 770 786 917 924 990 1155 1179 1260 1310 1386 1441 1540 1572 1834 1965 1980 2310 2358 2620 2751 2772 2882 3465 3668 3930 4323 4585 4620 4716 5502 5764 5895 6930 7205 7860 8253 8646 9170 10087 11004 11790 12969 13755 13860 14410 16506 17292 18340 20174 21615 23580 25938 27510 28820 30261 33012 40348 41265 43230 50435 51876 55020 60522 64845 82530 86460 90783 100870 121044 129690 151305 165060 181566 201740 259380 302610 363132 453915 605220 907830 1815660 260229180797 520458361594 780687542391 1040916723188 1301145903985 1561375084782 1821604265579 2342062627173 2602291807970 2862520988767 3122750169564 3643208531158 3903437711955 4684125254346 5204583615940 5464812796737 5725041977534 7286417062316 7806875423910 8587562966301 9108021327895 9368250508692 10929625593474 11450083955068 11710313135865 14312604943835 15613750847820 16394438390211 17175125932602 18216042655790 20037646921369 21859251186948 23420626271730 25762688898903 27324063983685 28625209887670 32788876780422 34090022684407 34350251865204 36432085311580 40075293842738 42937814831505 46841252543460 51525377797806 54648127967370 57250419775340 60112940764107 65577753560844 68180045368814 80150587685476 81972191951055 85875629663010 100188234606845 102270068053221 103050755595612 109296255934740 120225881528214 128813444494515 136360090737628 163944383902110 170450113422035 171751259326020 180338822292321 200376469213690 204540136106442 238630158790849 240451763056428 257626888989030 300564703820535 306810204159663 327888767804220 340900226844070 360677644584642 374990249528477 400752938427380 409080272212884 477260317581698 511350340266105 515253777978060 601129407641070 613620408319326 681800453688140 715890476372547 721355289169284 749980499056954 901694111461605 954520635163396 1022700680532210 1124970748585431 1193150793954245 1202258815282140 1227240816638652 1431780952745094 1499960998113908 1534051020798315 1803388222923210 1874951247642385 2045401361064420 2147671429117641 2249941497170862 2386301587908490 2624931746699339 2863561905490188 3068102041596630 3374912245756293 3579452381862735 3606776445846420 3749902495284770 4295342858235282 4499882994341724 4772603175816980 5249863493398678 5624853742927155 6136204083193260 6749824491512586 7158904763725470 7499804990569540 7874795240098017 8590685716470564 10499726986797356 10738357145588205 11249707485854310 13124658733496695 13499648983025172 14317809527450940 15749590480196034 16874561228781465 21476714291176410 22499414971708620 23624385720294051 26249317466993390 31499180960392068 33749122457562930 39373976200490085 42953428582352820 47248771440588102 52498634933986780 67498244915125860 78747952400980170 94497542881176204 118121928601470255 157495904801960340 236243857202940510 472487714405881020
- Sum of all divisors σ(n): 1800502801773451776
- Sum of proper divisors (its aliquot sum) s(n): 1328015087367570756
- 472487714405881020 is an abundant number, because the sum of its proper divisors (1328015087367570756) is greater than itself. Its abundance is 855527372961689736
Bases of 472487714405881020
- Binary: 110100011101001110100010010101010011110011000010100101111002
- Hexadecimal: 0x68E9D12A9E614BC
- Base-36: 3L8AWZH9ZLJ0
Squares and roots of 472487714405881020
- 472487714405881020 squared (4724877144058810202) is 223244640264493386756315962396240400
- 472487714405881020 cubed (4724877144058810203) is 105480349831933597976695249734217603050113297717208000
-
The
square root of 472487714405881020 is 687377417.7305223489 -
The
cube root of 472487714405881020 is 778867.3646503739
Scales and comparisons
How big is 472487714405881020?- 472,487,714,405,881,020 seconds is equal to 15,023,647,817 years, 33 weeks, 4 days, 14 hours, 57 minutes.
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To count from 1 to 472,487,714,405,881,020 would take you about forty-five billion, seventy million, nine hundred forty-three thousand, four hundred fifty-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 472487714405881020 cubic inches would be around 64905.6 feet tall.
Recreational maths with 472487714405881020
- 472487714405881020 backwards is 020188504417784274
- The number of decimal digits it has is: 18
- The sum of 472487714405881020's digits is 72
- More coming soon!
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