828201920000
828,201,920,000 is an even composite number composed of six prime numbers multiplied together.
828201920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 828201920000:
29 × 54 × 72 × 13 × 17 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 239)See below for interesting mathematical facts about the number 828201920000 from the Numbermatics database.
Names of 828201920000
- Cardinal: 828201920000 can be written as Eight hundred twenty-eight billion, two hundred one million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 8.2820192 × 1011
Factors of 828201920000
Divisors of 828201920000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 119 125 128 130 136 140 160 170 175 182 196 200 208 221 224 238 239 245 250 256 260 272 280 320 325 340 350 364 392 400 416 425 442 448 455 476 478 490 500 512 520 544 560 595 625 637 640 650 680 700 728 784 800 832 833 850 875 884 896 910 952 956 980 1000 1040 1088 1105 1120 1190 1195 1225 1250 1274 1280 1300 1360 1400 1456 1547 1568 1600 1625 1664 1666 1673 1700 1750 1768 1792 1820 1904 1912 1960 2000 2080 2125 2176 2210 2240 2275 2380 2390 2450 2500 2548 2560 2600 2720 2800 2912 2975 3094 3107 3136 3185 3200 3250 3328 3332 3346 3400 3500 3536 3584 3640 3808 3824 3920 4000 4063 4160 4165 4250 4352 4375 4420 4480 4550 4760 4780 4900 5000 5096 5200 5440 5525 5600 5824 5950 5975 6125 6188 6214 6272 6370 6400 6500 6656 6664 6692 6800 7000 7072 7280 7616 7648 7735 7840 8000 8125 8126 8320 8330 8365 8500 8704 8750 8840 8960 9100 9520 9560 9800 10000 10192 10400 10625 10829 10880 11050 11200 11375 11648 11711 11900 11950 12250 12376 12428 12544 12740 12800 13000 13328 13384 13600 14000 14144 14560 14875 15232 15296 15470 15535 15680 15925 16000 16250 16252 16640 16660 16730 17000 17500 17680 17920 18200 19040 19120 19600 20000 20315 20384 20800 20825 21250 21658 21749 21760 22100 22400 22750 23296 23422 23800 23900 24500 24752 24856 25088 25480 26000 26656 26768 27200 27625 28000 28288 28441 29120 29750 29875 30464 30592 30625 30940 31070 31360 31850 32000 32500 32504 33280 33320 33460 34000 35000 35360 36400 38080 38240 38675 39200 40000 40630 40768 41600 41650 41825 42500 43316 43498 43520 44200 44800 45500 46592 46844 47600 47800 49000 49504 49712 50960 52000 52819 53312 53536 54145 54400 55250 56000 56576 56875 56882 58240 58555 59500 59750 60928 61184 61250 61880 62140 62720 63700 64000 65000 65008 66640 66920 68000 70000 70720 72800 74375 76160 76480 77350 77675 78400 79625 80000 81260 81536 83200 83300 83650 85000 86632 86996 88400 89600 91000 93688 95200 95600 98000 99008 99424 101575 101920 104000 104125 105638 106624 107072 108290 108745 108800 110500 112000 113152 113750 113764 116480 117110 119000 119500 122368 122500 123760 124280 125440 127400 130000 130016 133280 133840 136000 138125 140000 141440 142205 145600 148750 149375 152243 152320 152960 154700 155350 156800 159250 160000 162520 163072 166400 166600 167300 170000 173264 173992 176800 182000 187376 190400 191200 193375 196000 198016 198848 199087 203150 203840 208000 208250 209125 211276 213248 214144 216580 217490 217600 221000 224000 227500 227528 232960 234220 238000 239000 245000 247520 248560 254800 260000 260032 264095 266560 267680 270725 272000 276250 280000 282880 284410 291200 292775 297500 298750 304486 304640 305920 309400 310700 313600 318500 320000 325040 326144 333200 334600 340000 346528 347984 353600 364000 369733 374752 380800 382400 386750 388375 392000 396032 397696 398125 398174 406300 407680 416000 416500 418250 422552 426496 428288 433160 434980 442000 448000 455000 455056 468440 476000 478000 490000 495040 497120 507875 509600 520000 520064 520625 528190 533120 535360 541450 543725 544000 552500 560000 565760 568820 582400 585550 595000 597500 608972 611840 618800 621400 627200 637000 650080 666400 669200 680000 693056 695968 707200 711025 728000 739466 749504 761215 761600 764800 773500 776750 784000 792064 795392 796250 796348 812600 815360 832000 833000 836500 845104 856576 866320 869960 884000 910000 910112 936880 952000 956000 966875 980000 990080 994240 995435 1015750 1019200 1040000 1040128 1041250 1045625 1056380 1066240 1070720 1082900 1087450 1088000 1105000 1120000 1137640 1164800 1171100 1190000 1195000 1217944 1237600 1242800 1274000 1300160 1320475 1332800 1338400 1353625 1360000 1386112 1391936 1414400 1422050 1456000 1463875 1478932 1499008 1522430 1523200 1529600 1547000 1553500 1568000 1590784 1592500 1592696 1625200 1630720 1666000 1673000 1690208 1732640 1739920 1768000 1820000 1820224 1848665 1873760 1904000 1912000 1933750 1941875 1960000 1980160 1988480 1990870 2031500 2038400 2080000 2080256 2082500 2091250 2112760 2132480 2141440 2165800 2174900 2210000 2240000 2275280 2342200 2380000 2390000 2435888 2475200 2485600 2539375 2548000 2588131 2600320 2640950 2665600 2676800 2707250 2718625 2720000 2772224 2783872 2828800 2844100 2912000 2927750 2957864 2998016 3044860 3059200 3094000 3107000 3136000 3185000 3185392 3250400 3332000 3346000 3380416 3465280 3479840 3536000 3555125 3640000 3640448 3697330 3747520 3806075 3808000 3824000 3867500 3883750 3920000 3960320 3976960 3981740 4063000 4076800 4160000 4165000 4182500 4225520 4282880 4331600 4349800 4420000 4550560 4684400 4760000 4780000 4871776 4950400 4971200 4977175 5078750 5096000 5176262 5200640 5281900 5331200 5353600 5414500 5437250 5440000 5544448 5567744 5688200 5824000 5855500 5915728 5996032 6089720 6188000 6214000 6370000 6370784 6500800 6602375 6664000 6692000 6760832 6768125 6930560 6959680 7072000 7110250 7280000 7280896 7319375 7394660 7495040 7612150 7616000 7648000 7735000 7767500 7840000 7953920 7963480 8126000 8153600 8330000 8365000 8451040 8663200 8699600 8840000 9101120 9243325 9368800 9520000 9560000 9743552 9900800 9942400 9954350 10157500 10192000 10352524 10401280 10563800 10662400 10707200 10829000 10874500 11135488 11376400 11711000 11831456 12179440 12376000 12428000 12740000 12741568 12940655 13001600 13204750 13328000 13384000 13521664 13536250 13593125 13861120 13919360 14144000 14220500 14560000 14561792 14638750 14789320 14990080 15224300 15296000 15470000 15535000 15680000 15926960 16252000 16660000 16730000 16902080 17326400 17399200 17680000 17775625 18202240 18486650 18737600 19030375 19040000 19120000 19487104 19801600 19884800 19908700 20315000 20384000 20705048 21127600 21414400 21658000 21749000 22752800 23422000 23662912 24358880 24752000 24856000 24885875 25480000 25483136 25881310 26003200 26409500 26656000 26768000 27043328 27072500 27186250 27722240 27838720 28441000 29120000 29277500 29578640 29980160 30448600 30940000 31070000 31853920 32504000 33011875 33320000 33460000 33804160 34652800 34798400 35360000 35551250 36404480 36973300 37475200 38060750 38080000 38240000 38974208 39769600 39817400 40630000 40768000 41410096 42255200 43316000 43498000 45505600 46216625 46844000 47325824 48717760 49504000 49712000 49771750 50960000 50966272 51762620 52006400 52819000 53312000 53536000 54145000 54372500 55677440 56882000 58555000 59157280 60897200 61880000 62140000 63707840 64703275 65008000 66023750 66640000 66920000 67608320 69305600 69596800 70720000 71102500 72808960 73946600 74950400 76121500 76480000 77948416 79634800 81260000 82820192 84510400 86632000 86996000 91011200 92433250 93688000 94651648 95151875 97435520 99008000 99424000 99543500 101920000 101932544 103525240 105638000 107072000 108290000 108745000 113764000 117110000 118314560 121794400 123760000 124280000 124429375 127415680 129406550 130016000 132047500 133280000 133840000 135216640 138611200 139193600 142205000 147893200 149900800 152243000 159269600 162520000 165640384 169020800 173264000 173992000 182022400 184866500 187376000 189303296 190303750 194871040 198848000 199087000 203840000 207050480 211276000 216580000 217490000 227528000 231083125 234220000 236629120 243588800 247520000 248560000 248858750 254831360 258813100 260032000 264095000 266560000 267680000 278387200 284410000 295786400 304486000 318539200 323516375 325040000 331280768 338041600 346528000 347984000 364044800 369733000 374752000 380607500 389742080 398174000 414100960 422552000 433160000 434980000 455056000 462166250 468440000 473258240 487177600 495040000 497120000 497717500 509662720 517626200 528190000 535360000 568820000 591572800 608972000 637078400 647032750 650080000 662561536 676083200 693056000 695968000 739466000 749504000 761215000 796348000 828201920 845104000 866320000 869960000 910112000 924332500 936880000 946516480 974355200 994240000 995435000 1035252400 1056380000 1137640000 1183145600 1217944000 1274156800 1294065500 1300160000 1325123072 1391936000 1478932000 1522430000 1592696000 1617581875 1656403840 1690208000 1732640000 1739920000 1820224000 1848665000 1873760000 1948710400 1990870000 2070504800 2112760000 2275280000 2366291200 2435888000 2548313600 2588131000 2957864000 3044860000 3185392000 3235163750 3312807680 3380416000 3465280000 3479840000 3697330000 3747520000 3981740000 4141009600 4225520000 4550560000 4732582400 4871776000 5176262000 5915728000 6089720000 6370784000 6470327500 6625615360 6959680000 7394660000 7963480000 8282019200 8451040000 9101120000 9743552000 10352524000 11831456000 12179440000 12741568000 12940655000 14789320000 15926960000 16564038400 16902080000 20705048000 23662912000 24358880000 25881310000 29578640000 31853920000 33128076800 41410096000 48717760000 51762620000 59157280000 63707840000 82820192000 103525240000 118314560000 165640384000 207050480000 414100960000 828201920000
- Sum of all divisors σ(n): 2754313087680
- Sum of proper divisors (its aliquot sum) s(n): 1926111167680
- 828201920000 is an abundant number, because the sum of its proper divisors (1926111167680) is greater than itself. Its abundance is 1097909247680
Bases of 828201920000
- Binary: 11000000110101001010111001100110000000002
- Hexadecimal: 0xC0D4AE6600
- Base-36: AKGY1FCW
Squares and roots of 828201920000
- 828201920000 squared (8282019200002) is 685918420291686400000000
- 828201920000 cubed (8282019200003) is 568078952648941636517888000000000000
-
The
square root of 828201920000 is 910055.9982770291 -
The
cube root of 828201920000 is 9391.0051272431
Scales and comparisons
How big is 828201920000?- 828,201,920,000 seconds is equal to 26,334 years, 13 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 828,201,920,000 would take you about fifty-two thousand, six hundred sixty-eight 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 828201920000 cubic inches would be around 782.6 feet tall.
Recreational maths with 828201920000
- 828201920000 backwards is 000029102828
- 828201920000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 828201920000's digits is 32
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 828201920000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 828201920000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/828201920000/
Chicago style:
Numbermatics. 2024. "Number 828201920000 - Facts about the integer". https://numbermatics.com/n/828201920000/
The information we have on file for 828201920000 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!
Keywords: Divisors of 828201920000, math, Factors of 828201920000, curriculum, school, college, exams, university, Prime factorization of 828201920000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight billion, two hundred one million, nine hundred twenty thousand.