106133216800
106,133,216,800 is an even composite number composed of six prime numbers multiplied together.
106133216800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 106133216800:
25 × 52 × 132 × 17 × 61 × 757
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 61 × 757)See below for interesting mathematical facts about the number 106133216800 from the Numbermatics database.
Names of 106133216800
- Cardinal: 106133216800 can be written as One hundred six billion, one hundred thirty-three million, two hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.061332168 × 1011
Factors of 106133216800
Divisors of 106133216800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 61 65 68 80 85 100 104 122 130 136 160 169 170 200 208 221 244 260 272 305 325 338 340 400 416 425 442 488 520 544 610 650 676 680 757 793 800 845 850 884 976 1037 1040 1105 1220 1300 1352 1360 1514 1525 1586 1690 1700 1768 1952 2074 2080 2210 2440 2600 2704 2720 2873 3028 3050 3172 3380 3400 3536 3785 3965 4148 4225 4420 4880 5185 5200 5408 5525 5746 6056 6100 6344 6760 6800 7072 7570 7930 8296 8450 8840 9760 9841 10309 10370 10400 11050 11492 12112 12200 12688 12869 13481 13520 13600 14365 15140 15860 16592 16900 17680 18925 19682 19825 20618 20740 22100 22984 24224 24400 25376 25738 25925 26962 27040 28730 30280 31720 33184 33800 35360 37850 39364 39650 41236 41480 44200 45968 46177 48800 49205 51476 51545 51850 53924 57460 60560 63440 64345 67405 67600 71825 75700 78728 79300 82472 82960 88400 91936 92354 98410 102952 103090 103700 107848 114920 121120 126880 127933 128690 134810 135200 143650 151400 157456 158600 164944 165920 167297 175253 176800 184708 196820 205904 206180 207400 215696 229840 230885 246025 255866 257380 257725 269620 287300 302800 314912 317200 321725 329888 334594 337025 350506 369416 393640 411808 412360 414800 431392 459680 461770 492050 511732 514760 515450 539240 574600 600301 605600 634400 639665 643450 669188 674050 701012 738832 785009 787280 824720 829600 836485 876265 923540 984100 1023464 1029520 1030900 1078480 1149200 1154425 1200602 1279330 1286900 1338376 1348100 1402024 1477664 1570018 1574560 1649440 1672970 1752530 1847080 1968200 2046928 2059040 2061800 2156960 2174861 2298400 2308850 2401204 2558660 2573800 2676752 2696200 2804048 3001505 3140036 3198325 3345940 3505060 3694160 3925045 3936400 4093856 4123600 4182425 4349722 4381325 4617700 4802408 5117320 5147600 5353504 5392400 5608096 6003010 6280072 6396650 6691880 7010120 7388320 7803913 7850090 7872800 8247200 8364850 8699444 8762650 9235400 9604816 10205117 10234640 10295200 10784800 10874305 12006020 12560144 12793300 13383760 14020240 15007525 15607826 15700180 16729700 17398888 17525300 18470800 19209632 19625225 20410234 20469280 21748610 24012040 25120288 25586600 26767520 28040480 30015050 31215652 31400360 33459400 34797776 35050600 36941600 39019565 39250450 40820468 43497220 48024080 51025585 51173200 54371525 60030100 62431304 62800720 66918800 69595552 70101200 78039130 78500900 81640936 86994440 96048160 102051170 102346400 108743050 120060200 124862608 125601440 132666521 133837600 140202400 156078260 157001800 163281872 173988880 195097825 204102340 217486100 240120400 249725216 255127925 265333042 312156520 314003600 326563744 347977760 390195650 408204680 434972200 480240800 510255850 530666084 624313040 628007200 663332605 780391300 816409360 869944400 1020511700 1061332168 1248626080 1326665210 1560782600 1632818720 1739888800 2041023400 2122664336 2653330420 3121565200 3316663025 4082046800 4245328672 5306660840 6243130400 6633326050 8164093600 10613321680 13266652100 21226643360 26533304200 53066608400 106133216800
- Sum of all divisors σ(n): 302333821272
- Sum of proper divisors (its aliquot sum) s(n): 196200604472
- 106133216800 is an abundant number, because the sum of its proper divisors (196200604472) is greater than itself. Its abundance is 90067387672
Bases of 106133216800
- Binary: 11000101101100000100001011110001000002
- Hexadecimal: 0x18B6085E20
- Base-36: 1CR8Z674
Squares and roots of 106133216800
- 106133216800 squared (1061332168002) is 11264259708315802240000
- 106133216800 cubed (1061332168003) is 1195512117714185802003845632000000
-
The
square root of 106133216800 is 325780.9337576401 -
The
cube root of 106133216800 is 4734.6052553977
Scales and comparisons
How big is 106133216800?- 106,133,216,800 seconds is equal to 3,374 years, 36 weeks, 5 days, 17 hours, 6 minutes, 40 seconds.
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To count from 1 to 106,133,216,800 would take you about six thousand, seven hundred forty-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 106133216800 cubic inches would be around 394.6 feet tall.
Recreational maths with 106133216800
- 106133216800 backwards is 008612331601
- The number of decimal digits it has is: 12
- The sum of 106133216800's digits is 31
- More coming soon!
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