828820200120
828,820,200,120 is an even composite number composed of six prime numbers multiplied together.
828820200120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 828820200120:
23 × 3 × 5 × 112 × 3312 × 521
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 331 × 331 × 521)See below for interesting mathematical facts about the number 828820200120 from the Numbermatics database.
Names of 828820200120
- Cardinal: 828820200120 can be written as Eight hundred twenty-eight billion, eight hundred twenty million, two hundred thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.2882020012 × 1011
Factors of 828820200120
Divisors of 828820200120
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 331 363 440 484 521 605 660 662 726 968 993 1042 1210 1320 1324 1452 1563 1655 1815 1986 2084 2420 2605 2648 2904 3126 3310 3630 3641 3972 4168 4840 4965 5210 5731 6252 6620 7260 7282 7815 7944 9930 10420 10923 11462 12504 13240 14520 14564 15630 17193 18205 19860 20840 21846 22924 28655 29128 31260 34386 36410 39720 40051 43692 45848 54615 57310 62520 63041 68772 72820 80102 85965 87384 109230 109561 114620 120153 126082 137544 145640 160204 171930 172451 189123 200255 218460 219122 229240 240306 252164 315205 320408 328683 343860 344902 378246 400510 436920 438244 480612 504328 517353 547805 600765 630410 657366 687720 689804 756492 801020 862255 876488 945615 961224 1034706 1095610 1201530 1205171 1260820 1314732 1379608 1512984 1602040 1643415 1724510 1891230 1896961 2069412 2191220 2403060 2410342 2521640 2586765 2629464 3286830 3449020 3615513 3782460 3793922 4138824 4382440 4806120 4820684 5173530 5690883 6025855 6573660 6898040 7231026 7564920 7587844 9484805 9641368 10347060 11381766 12051710 13147320 13256881 14462052 15175688 18077565 18969610 20694120 20866571 22763532 24103420 26513762 28454415 28924104 36155130 37939220 39770643 41733142 45527064 48206840 53027524 56908830 57081281 62599713 66284405 72310260 75878440 79541286 83466284 104332855 106055048 113817660 114162562 125199426 132568810 144620520 159082572 166932568 171243843 198853215 208665710 227635320 228325124 250398852 265137620 285406405 312998565 318165144 342487686 397706430 417331420 456650248 500797704 530275240 570812810 625997130 627894091 684975372 795412860 834662840 856219215 1141625620 1251994260 1255788182 1369950744 1590825720 1712438430 1883682273 2283251240 2503988520 2511576364 3139470455 3424876860 3767364546 5023152728 6278940910 6849753720 6906835001 7534729092 9418411365 12557881820 13813670002 15069458184 18836822730 20720505003 25115763640 27627340004 34534175005 37673645460 41441010006 55254680008 69068350010 75347290920 82882020012 103602525015 138136700020 165764040024 207205050030 276273400040 414410100060 828820200120
- Sum of all divisors σ(n): 2746595310480
- Sum of proper divisors (its aliquot sum) s(n): 1917775110360
- 828820200120 is an abundant number, because the sum of its proper divisors (1917775110360) is greater than itself. Its abundance is 1088954910240
Bases of 828820200120
- Binary: 11000000111110011000100010011010101110002
- Hexadecimal: 0xC0F9889AB8
- Base-36: AKR65BCO
Squares and roots of 828820200120
- 828820200120 squared (8288202001202) is 686942924126956848014400
- 828820200120 cubed (8288202001203) is 569352171845922351057899432641728000
-
The
square root of 828820200120 is 910395.6283506639 -
The
cube root of 828820200120 is 9393.3414445823
Scales and comparisons
How big is 828820200120?- 828,820,200,120 seconds is equal to 26,353 years, 47 weeks, 5 days, 9 hours, 22 minutes.
-
To count from 1 to 828,820,200,120 would take you about fifty-two thousand, seven hundred seven 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 828820200120 cubic inches would be around 782.8 feet tall.
Recreational maths with 828820200120
- 828820200120 backwards is 021002028828
- 828820200120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 828820200120's digits is 33
- More coming soon!
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