828768283080195200
828,768,283,080,195,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 828768283080195200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
828768283080195200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 828768283080195200:
27 × 52 × 172 × 232 × 792 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 23 × 23 × 79 × 79 × 521 × 521)See below for interesting mathematical facts about the number 828768283080195200 from the Numbermatics database.
Names of 828768283080195200
- Cardinal: 828768283080195200 can be written as Eight hundred twenty-eight quadrillion, seven hundred sixty-eight trillion, two hundred eighty-three billion, eighty million, one hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 8.287682830801952 × 1017
Factors of 828768283080195200
Divisors of 828768283080195200
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 64 68 79 80 85 92 100 115 128 136 158 160 170 184 200 230 272 289 316 320 340 368 391 395 400 425 460 521 529 544 575 578 632 640 680 736 782 790 800 850 920 1042 1058 1088 1150 1156 1264 1343 1360 1445 1472 1564 1580 1600 1700 1817 1840 1955 1975 2084 2116 2176 2300 2312 2528 2605 2645 2686 2720 2890 2944 3128 3160 3200 3400 3634 3680 3910 3950 4168 4232 4600 4624 5056 5210 5290 5372 5440 5780 6241 6256 6320 6647 6715 6800 7225 7268 7360 7820 7900 8336 8464 8857 8993 9085 9200 9248 9775 10112 10420 10580 10744 10880 11560 11983 12482 12512 12640 13025 13225 13294 13430 13600 14450 14536 14720 15640 15800 16672 16928 17714 17986 18170 18400 18496 19550 20840 21160 21488 22831 23120 23966 24964 25024 25280 26050 26450 26588 26860 27200 28900 29072 30889 31205 31280 31600 33235 33344 33575 33856 35428 35972 36340 36800 36992 39100 41159 41680 41791 42320 42976 44285 44965 45425 45662 46240 47932 49928 50048 50560 52100 52900 53176 53720 54400 57800 58144 59915 61778 62410 62560 63200 66470 66688 67150 67712 70856 71944 72680 73600 78200 82318 83360 83582 84640 85952 88570 89930 90850 91324 92480 95864 99856 104200 105800 106097 106352 107440 114155 115600 116288 119830 123556 124820 125120 126400 132940 134300 141712 143543 143888 145360 150569 152881 154445 156025 156400 164636 166175 166720 167164 169280 171904 177140 179860 181700 182648 184960 191728 199712 203711 205795 208400 208955 211600 212194 212704 214880 221425 224825 228310 231200 232576 239660 247112 249640 250240 252800 265880 268600 271441 275609 283424 287086 287776 290720 299575 301138 305762 308890 312050 312800 329272 332350 333440 334328 338560 354280 359720 363400 365296 383456 399424 407422 411590 416800 417910 423200 424388 425408 429760 442850 449650 456620 462400 479320 494224 499280 525113 530485 531760 537200 542882 551218 566848 570775 574172 575552 581440 599150 602276 611524 617780 624100 625600 658544 664700 668656 699703 708560 710447 717715 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318145214234240 327835555015900 358463790259600 360334036121824 380867777150825 391667430567200 397681517792800 419629510420352 423922395437440 450417545152280 456119033065600 487510754753056 517980176925122 524536888025440 529902994296800 563021931440350 573542064415360 609388443441320 617102221206400 655671110031800 716927580519200 720668072243648 761735554301650 783334861134400 795363035585600 900835090304560 975021509506112 1035960353850244 1049073776050880 1059805988593600 1126043862880700 1218776886882640 1294950442312805 1311342220063600 1433855161038400 1441336144487296 1523471108603300 1566669722268800 1590726071171200 1801670180609120 1950043019012224 2071920707700488 2098147552101760 2119611977187200 2252087725761400 2437553773765280 2589900884625610 2622684440127200 2867710322076800 3046942217206600 3603340361218240 4143841415400976 4504175451522800 4875107547530560 5179801769251220 5245368880254400 6093884434413200 6474752211564025 7206680722436480 8287682830801952 9008350903045600 9750215095061120 10359603538502440 10490737760508800 12187768868826400 12949504423128050 16575365661603904 18016701806091200 20719207077004880 24375537737652800 25899008846256100 33150731323207808 36033403612182400 41438414154009760 48751075475305600 51798017692512200 82876828308019520 103596035385024400 165753656616039040 207192070770048800 414384141540097600 828768283080195200
- Sum of all divisors σ(n): 2307071183016779865
- Sum of proper divisors (its aliquot sum) s(n): 1478302899936584665
- 828768283080195200 is an abundant number, because the sum of its proper divisors (1478302899936584665) is greater than itself. Its abundance is 649534616856389465
Bases of 828768283080195200
- Binary: 1011100000000110000001011100110010100001101011111100100000002
- Hexadecimal: 0xB80605CCA1AFC80
- Base-36: 6AODU572ZQ0W
Squares and roots of 828768283080195200
- 828768283080195200 squared (8287682830801952002) is 686856867039694565424114470103040000
- 828768283080195200 cubed (8287682830801952003) is 569245186418329581654596229795851238633127313408000000
-
The
square root of 828768283080195200 is 910367114.4544903869 -
The
cube root of 828768283080195200 is 939314.5308490405
Scales and comparisons
How big is 828768283080195200?- 828,768,283,080,195,200 seconds is equal to 26,352,267,853 years, 17 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 828,768,283,080,195,200 would take you about seventy-nine billion, fifty-six million, eight hundred three thousand, five hundred sixty 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 828768283080195200 cubic inches would be around 78276.2 feet tall.
Recreational maths with 828768283080195200
- 828768283080195200 backwards is 002591080382867828
- The number of decimal digits it has is: 18
- The sum of 828768283080195200's digits is 77
- More coming soon!
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The information we have on file for 828768283080195200 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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