83214121208400
83,214,121,208,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 83214121208400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
83214121208400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 83214121208400:
24 × 33 × 52 × 72 × 13 × 41 × 47 × 6277
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 41 × 47 × 6277)See below for interesting mathematical facts about the number 83214121208400 from the Numbermatics database.
Names of 83214121208400
- Cardinal: 83214121208400 can be written as Eighty-three trillion, two hundred fourteen billion, one hundred twenty-one million, two hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.32141212084 × 1013
Factors of 83214121208400
Divisors of 83214121208400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 35 36 39 40 41 42 45 47 48 49 50 52 54 56 60 63 65 70 72 75 78 80 82 84 90 91 94 98 100 104 105 108 112 117 120 123 126 130 135 140 141 144 147 150 156 164 168 175 180 182 188 189 195 196 200 205 208 210 216 225 234 235 240 245 246 252 260 270 273 280 282 287 294 300 312 315 325 328 329 336 350 351 360 364 369 376 378 390 392 400 410 420 423 432 441 450 455 468 470 490 492 504 520 525 533 540 546 560 564 574 585 588 600 611 615 624 630 637 650 656 658 675 700 702 705 720 728 735 738 752 756 780 784 819 820 840 846 861 882 900 910 936 940 945 975 980 984 987 1008 1025 1040 1050 1066 1080 1092 1107 1128 1148 1170 1175 1176 1200 1222 1225 1230 1260 1269 1274 1300 1316 1323 1350 1365 1400 1404 1410 1435 1456 1470 1476 1512 1560 1575 1599 1638 1640 1645 1680 1692 1722 1755 1764 1800 1820 1833 1845 1872 1880 1890 1911 1927 1950 1960 1968 1974 2009 2050 2100 2115 2132 2160 2184 2205 2214 2256 2275 2296 2303 2340 2350 2352 2444 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12700567950 13010337900 13063441320 13114912720 13208590668 13256989200 13530751416 13619332440 13806889200 14051692200 14094532725 14152061430 14224636104 14394416400 14497233660 14514934800 14754276810 14817329275 15034168240 15132591600 15240681540 15410022446 15612405480 15724512700 15808153725 16002715617 16108037400 16329301650 16393640900 16510738335 16862030640 16913439270 16934090600 16982473716 17024165550 17347117200 17611454224 17705132172 17780795130 18066461400 18121542075 18288817848 18792710300 18869415240 19050851925 19329644880 19456189200 19515506850 19672369080 19812886002 20296127124 20320908720 20710333800 21077538300 21228092145 21336954156 21591624600 21772402200 22014317780 22131415215 22303436400 22551252360 22643298288 22698887400 22861022310 23115033669 23586769050 23606842896 23707726840 24162056100 24590461350 25293045960 25370158905 25401135900 26020675800 26126882640 26417181336 26671192695 27061502832 27238664880 27517897225 28103384400 28189065450 28304122860 28449272208 28994467320 29508553620 29634658550 29719329003 30481363080 30820044892 31224810960 31449025400 31616307450 32005431234 32216074800 32658603300 32787281800 33021476670 33826878540 33868181200 33964947432 34048331100 35380153575 35410264344 35561590260 36132922800 36243084150 36577635696 36885692025 37585420600 37738830480 38101703850 38525056115 39031013700 39344738160 39625772004 40592254248 41420667600 42155076600 42283598175 42456184290 42673908312 43183249200 43544804400 44028635560 44262830430 44451987825 45102504720 45397774800 45722044620 46230067338 47173538100 47415453680 48324112200 49180922700 49532215005 50586091920 50740317810 50802271800 52041351600 52834362672 53342385390 55035794450 56378130900 56608245720 57152555775 57988934640 59017107240 59269317100 59438658006 60962726160 61640089784 62898050800 63232614900 64010862468 65317206600 65574563600 66042953340 67653757080 67929894864 68096662200 69345101007 70760307150 70820528688 71123180520 72486168300 73771384050 75170841200 76203407700 77050112230 78062027400 79251544008 80013578085 81184508496 82553691675 84310153200 84567196350 84912368580 85347816624 88057271120 88525660860 88903975650 91444089240 92460134676 94347076200 96648224400 98361845400 99064430010 101480635620 101604543600 106140460725 106684770780 110071588900 110657076075 112756261800 113216491440 114305111550 115575168345 118034214480 118538634200 118877316012 123280179568 126465229800 126850794525 128021724936 130634413200 132085906680 133355963475 135307514160 136193324400 138690202014 141520614300 142246361040 144972336600 147542768100 148596645015 152406815400 154100224460 156124054800 158503088016 160027156170 165107383350 169134392700 169824737160 177051321720 177807951300 182888178480 184920269352 188694152400 192625280575 196723690800 198128860020 202961271240 208035303021 212280921450 213369541560 220143177800 221314152150 225512523600 228610223100 231150336690 237077268400 237754632024 247661075025 252930459600 253701589050 256043449872 264171813360 266711926950 277380404028 283041228600 289944673200 295085536200 297193290030 304813630800 308200448920 320054312340 330214766700 338268785400 339649474320 346725505035 354102643440 355615902600 369840538704 385250561150 396257720040 400067890425 405922542480 416070606042 424561842900 426739083120 440286355600 442628304300 457220446200 462300673380 475509264048 495322150050 507403178100 533423853900 554760808056 566082457200 577875841725 590171072400 594386580060 616400897840 640108624680 660429533400 676537570800 693451010070 711231805200 742983225075 770501122300 792515440080 800135780850 832141212084 849123685800 885256608600 914440892400 924601346760 990644300100 1014806356200 1040176515105 1066847707800 1109521616112 1155751683450 1188773160120 1280217249360 1320859066800 1386902020140 1485966450150 1541002244600 1600271561700 1664282424168 1698247371600 1733627525175 1770513217200 1849202693520 1981288600200 2029612712400 2080353030210 2133695415600 2311503366900 2377546320240 2773804040280 2971932900300 3082004489200 3200543123400 3328564848336 3467255050350 3962577200400 4160706060420 4623006733800 5200882575525 5547608080560 5943865800600 6401086246800 6934510100700 8321412120840 9246013467600 10401765151050 11887731601200 13869020201400 16642824241680 20803530302100 27738040402800 41607060604200 83214121208400
- Sum of all divisors σ(n): 388238061173760
- Sum of proper divisors (its aliquot sum) s(n): 305023939965360
- 83214121208400 is an abundant number, because the sum of its proper divisors (305023939965360) is greater than itself. Its abundance is 221809818756960
Bases of 83214121208400
- Binary: 100101110101110110011000010001010001010010100002
- Hexadecimal: 0x4BAECC228A50
- Base-36: THW1F8QC0
Squares and roots of 83214121208400
- 83214121208400 squared (832141212084002) is 6924589968486286676230560000
- 83214121208400 cubed (832141212084003) is 576223668956088595749079787064208704000000
-
The
square root of 83214121208400 is 9122177.4378927753 -
The
cube root of 83214121208400 is 43658.1850202813
Scales and comparisons
How big is 83214121208400?- 83,214,121,208,400 seconds is equal to 2,645,951 years, 34 weeks, 21 hours.
-
To count from 1 to 83,214,121,208,400 would take you about six million, six hundred fourteen thousand, eight hundred seventy-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 83214121208400 cubic inches would be around 3638.2 feet tall.
Recreational maths with 83214121208400
- 83214121208400 backwards is 00480212141238
- 83214121208400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 83214121208400's digits is 36
- More coming soon!
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"Number 83214121208400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 83214121208400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/83214121208400/
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The information we have on file for 83214121208400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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