27964125746690558250
27,964,125,746,690,558,250 is an even composite number composed of seven prime numbers multiplied together.
What does the number 27964125746690558250 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 256 divisors.
27964125746690558250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 27964125746690558250:
2 × 3 × 53 × 7 × 109 × 9137 × 5348251481
(2 × 3 × 5 × 5 × 5 × 7 × 109 × 9137 × 5348251481)See below for interesting mathematical facts about the number 27964125746690558250 from the Numbermatics database.
Names of 27964125746690558250
- Cardinal: 27964125746690558250 can be written as Twenty-seven quintillion, nine hundred sixty-four quadrillion, one hundred twenty-five trillion, seven hundred forty-six billion, six hundred ninety million, five hundred fifty-eight thousand, two hundred fifty.
Scientific notation
- Scientific notation: 2.796412574669055825 × 1019
Factors of 27964125746690558250
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 5348260744
Divisors of 27964125746690558250
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 109 125 150 175 210 218 250 327 350 375 525 545 654 750 763 875 1050 1090 1526 1635 1750 2289 2625 2725 3270 3815 4578 5250 5450 7630 8175 9137 11445 13625 16350 18274 19075 22890 27250 27411 38150 40875 45685 54822 57225 63959 81750 91370 95375 114450 127918 137055 190750 191877 228425 274110 286125 319795 383754 456850 572250 639590 685275 959385 995933 1142125 1370550 1598975 1918770 1991866 2284250 2987799 3197950 3426375 4796925 4979665 5975598 6852750 6971531 7994875 9593850 9959330 13943062 14938995 15989750 20914593 23984625 24898325 29877990 34857655 41829186 47969250 49796650 69715310 74694975 104572965 124491625 149389950 174288275 209145930 248983250 348576550 373474875 522864825 746949750 871441375 1045729650 1742882750 2614324125 5228648250 5348251481 10696502962 16044754443 26741257405 32089508886 37437760367 53482514810 74875520734 80223772215 112313281101 133706287025 160447544430 187188801835 224626562202 267412574050 374377603670 401118861075 561566405505 582959411429 668531435125 802237722150 935944009175 1123132811010 1165918822858 1337062870250 1748878234287 1871888018350 2005594305375 2807832027525 2914797057145 3497756468574 4011188610750 4080715880003 4679720045875 5615664055050 5829594114290 8161431760006 8744391171435 9359440091750 12242147640009 14039160137625 14573985285725 17488782342870 20403579400015 24484295280018 28078320275250 29147970571450 40807158800030 43721955857175 48866973781897 61210738200045 72869926428625 87443911714350 97733947563794 102017897000075 122421476400090 145739852857250 146600921345691 204035794000150 218609779285875 244334868909485 293201842691382 306053691000225 342068816473279 437219558571750 488669737818970 510089485000375 612107382000450 684137632946558 733004606728455 1020178970000750 1026206449419837 1221674344547425 1466009213456910 1530268455001125 1710344082366395 2052412898839674 2443348689094850 3060536910002250 3420688164732790 3665023033642275 5131032247099185 5326500142226773 6108371722737125 7330046067284550 8551720411831975 10262064494198370 10653000284453546 12216743445474250 15979500426680319 17103440823663950 18325115168211375 25655161235495925 26632500711133865 31959000853360638 36650230336422750 37285500995587411 42758602059159875 51310322470991850 53265001422267730 74571001991174822 79897502133401595 85517204118319750 111856502986762233 128275806177479625 133162503555669325 159795004266803190 186427504977937055 223713005973524466 256551612354959250 266325007111338650 372855009955874110 399487510667007975 559282514933811165 665812517778346625 798975021334015950 932137524889685275 1118565029867622330 1331625035556693250 1864275049779370550 1997437553335039875 2796412574669055825 3994875106670079750 4660687624448426375 5592825149338111650 9321375248896852750 13982062873345279125 27964125746690558250
- Sum of all divisors σ(n): 80510308439959157760
- Sum of proper divisors (its aliquot sum) s(n): 52546182693268599510
- 27964125746690558250 is an abundant number, because the sum of its proper divisors (52546182693268599510) is greater than itself. Its abundance is 24582056946578041260
Bases of 27964125746690558250
- Binary: 110000100000101001000100000110100110100011101100010001001001010102
- Hexadecimal: 0x184148834D1D8892A
- Base-36: 5WGHZ9FHCW6JU
Squares and roots of 27964125746690558250
- 27964125746690558250 squared (279641257466905582502) is 781992328776721771992352279696643062500
- 27964125746690558250 cubed (279641257466905582503) is 21867731814859633243723557727370627137479361489114640625000
-
The
square root of 27964125746690558250 is 5288111737.3492173827 -
The
cube root of 27964125746690558250 is 3035291.5680824935
Scales and comparisons
How big is 27964125746690558250?- 27,964,125,746,690,558,250 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 27,964,125,746,690,558,250 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 27964125746690558250 cubic inches would be around 252941 feet tall.
Recreational maths with 27964125746690558250
- 27964125746690558250 backwards is 05285509664752146972
- The number of decimal digits it has is: 20
- The sum of 27964125746690558250's digits is 93
- More coming soon!
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