28137724629792960000
28,137,724,629,792,960,000 is an even composite number composed of six prime numbers multiplied together.
28137724629792960000 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 28137724629792960000:
29 × 3 × 54 × 72 × 13 × 46012762673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 46012762673)See below for interesting mathematical facts about the number 28137724629792960000 from the Numbermatics database.
Names of 28137724629792960000
- Cardinal: 28137724629792960000 can be written as Twenty-eight quintillion, one hundred thirty-seven quadrillion, seven hundred twenty-four trillion, six hundred twenty-nine billion, seven hundred ninety-two million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 2.813772462979296 × 1019
Factors of 28137724629792960000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 46012762703
Divisors of 28137724629792960000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 128 130 140 147 150 156 160 168 175 182 192 195 196 200 208 210 224 240 245 250 256 260 273 280 294 300 312 320 325 336 350 364 375 384 390 392 400 416 420 448 455 480 490 500 512 520 525 546 560 588 600 624 625 637 640 650 672 700 728 735 750 768 780 784 800 832 840 875 896 910 960 975 980 1000 1040 1050 1092 1120 1176 1200 1225 1248 1250 1274 1280 1300 1344 1365 1400 1456 1470 1500 1536 1560 1568 1600 1625 1664 1680 1750 1792 1820 1875 1911 1920 1950 1960 2000 2080 2100 2184 2240 2275 2352 2400 2450 2496 2500 2548 2560 2600 2625 2688 2730 2800 2912 2940 3000 3120 3136 3185 3200 3250 3328 3360 3500 3584 3640 3675 3750 3822 3840 3900 3920 4000 4160 4200 4368 4375 4480 4550 4704 4800 4875 4900 4992 5000 5096 5200 5250 5376 5460 5600 5824 5880 6000 6125 6240 6272 6370 6400 6500 6656 6720 6825 7000 7280 7350 7500 7644 7680 7800 7840 8000 8125 8320 8400 8736 8750 8960 9100 9408 9555 9600 9750 9800 9984 10000 10192 10400 10500 10752 10920 11200 11375 11648 11760 12000 12250 12480 12544 12740 12800 13000 13125 13440 13650 14000 14560 14700 15000 15288 15600 15680 15925 16000 16250 16640 16800 17472 17500 17920 18200 18375 18816 19110 19200 19500 19600 19968 20000 20384 20800 21000 21840 22400 22750 23296 23520 24000 24375 24500 24960 25088 25480 26000 26250 26880 27300 28000 29120 29400 30000 30576 30625 31200 31360 31850 32000 32500 33280 33600 34125 34944 35000 36400 36750 37632 38220 38400 39000 39200 40000 40768 41600 42000 43680 44800 45500 46592 47040 47775 48000 48750 49000 49920 50960 52000 52500 53760 54600 56000 56875 58240 58800 60000 61152 61250 62400 62720 63700 64000 65000 67200 68250 69888 70000 72800 73500 75264 76440 78000 78400 79625 80000 81536 83200 84000 87360 89600 91000 91875 94080 95550 96000 97500 98000 99840 101920 104000 105000 109200 112000 113750 116480 117600 120000 122304 122500 124800 125440 127400 130000 134400 136500 139776 140000 145600 147000 152880 156000 156800 159250 160000 163072 166400 168000 170625 174720 182000 183750 188160 191100 192000 195000 196000 203840 208000 210000 218400 224000 227500 232960 235200 238875 240000 244608 245000 249600 254800 260000 268800 273000 280000 291200 294000 305760 312000 313600 318500 320000 326144 336000 341250 349440 364000 367500 376320 382200 390000 392000 398125 407680 416000 420000 436800 448000 455000 470400 477750 480000 489216 490000 499200 509600 520000 546000 560000 582400 588000 611520 624000 627200 637000 672000 682500 698880 728000 735000 764400 780000 784000 796250 815360 832000 840000 873600 910000 940800 955500 960000 978432 980000 1019200 1040000 1092000 1120000 1164800 1176000 1194375 1223040 1248000 1274000 1344000 1365000 1456000 1470000 1528800 1560000 1568000 1592500 1630720 1680000 1747200 1820000 1881600 1911000 1960000 2038400 2080000 2184000 2240000 2352000 2388750 2446080 2496000 2548000 2730000 2912000 2940000 3057600 3120000 3136000 3185000 3360000 3494400 3640000 3822000 3920000 4076800 4160000 4368000 4704000 4777500 4892160 5096000 5460000 5824000 5880000 6115200 6240000 6370000 6720000 7280000 7644000 7840000 8153600 8736000 9408000 9555000 10192000 10920000 11760000 12230400 12480000 12740000 14560000 15288000 15680000 17472000 19110000 20384000 21840000 23520000 24460800 25480000 29120000 30576000 38220000 40768000 43680000 47040000 50960000 61152000 76440000 87360000 101920000 122304000 152880000 203840000 305760000 611520000 46012762673 92025525346 138038288019 184051050692 230063813365 276076576038 322089338711 368102101384 460127626730 552153152076 598165914749 644178677422 690191440095 736204202768 920255253460 966268016133 1104306304152 1150319066825 1196331829498 1288357354844 1380382880190 1472408405536 1610446693555 1794497744247 1840510506920 1932536032266 2208612608304 2254625370977 2300638133650 2392663658996 2576714709688 2760765760380 2944816811072 2990829573745 3220893387110 3450957200475 3588995488494 3681021013840 3865072064532 4187161403243 4417225216608 4509250741954 4601276267300 4785327317992 4831340080665 5153429419376 5521531520760 5751595334125 5889633622144 5981659147490 6441786774220 6763876112931 6901914400950 7177990976988 7362042027680 7730144129064 8052233467775 8374322806486 8834450433216 8972488721235 9018501483908 9202552534600 9570654635984 9662680161330 10306858838752 11043063041520 11273126854885 11503190668250 11779267244288 11963318294980 12561484209729 12883573548440 13527752225862 13803828801900 14355981953976 14724084055360 14954147868725 15460288258128 16104466935550 16748645612972 17254786002375 17668900866432 17944977442470 18037002967816 18405105069200 19141309271968 19325360322660 20613717677504 20935807016215 22086126083040 22546253709770 23006381336500 23558534488576 23926636589960 24156700403325 25122968419458 25767147096880 27055504451724 27607657603800 28711963907952 28757976670625 29310129822701 29448168110720 29908295737450 30920576516256 32208933871100 33497291225944 33819380564655 34509572004750 35337801732864 35889954884940 36074005935632 36810210138400 38282618543936 38650720645320 40261167338875 41227435355008 41871614032430 44172252166080 44862443606175 45092507419540 46012762673000 47853273179920 48313400806650 50245936838916 51534294193760 54111008903448 55215315207600 56365634274425 57423927815904 57515953341250 58620259645402 58896336221440 59816591474900 61841153032512 62807421048645 64417867742200 66994582451888 67638761129310 69019144009500 70675603465728 71779909769880 72148011871264 73620420276800 74770739343625 76565237087872 77301441290640 80522334677750 82454870710016 83743228064860 86273930011875 87930389468103 88344504332160 89724887212350 90185014839080 92025525346000 95706546359840 96626801613300 100491873677832 103068588387520 104679035081075 108222017806896 110430630415200 112731268548850 114847855631808 115031906682500 117240519290804 117792672442880 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360740059356320 368102101384000 373853696718125 382826185439360 386507206453200 401967494711328 402611673388750 412274353550080 418716140324300 432888071227584 439651947340515 441722521660800 448624436061750 450925074195400 459391422527232 460127626730000 468962077163216 478532731799200 483134008066500 494729224260096 502459368389160 515342941937600 523395175405375 535956659615104 541110089034480 552153152076000 563656342744250 574239278159040 577184094970112 586202596454020 588963362214400 598165914749000 603917510083125 618411530325120 628074210486450 644178677422000 669945824518880 676387611293100 690191440095000 703443115744824 717799097698800 721480118712640 732753245567525 736204202768000 747707393436250 765652370878720 773014412906400 803934989422656 805223346777500 824548707100160 837432280648600 845484514116375 865776142455168 879303894681030 883445043321600 897248872123500 901850148390800 918782845054464 920255253460000 937924154326432 957065463598400 966268016133000 1004918736778320 1030685883875200 1046790350810750 1071913319230208 1082220178068960 1104306304152000 1121561090154375 1127312685488500 1148478556318080 1154368189940224 1172405192908040 1196331829498000 1207835020166250 1236823060650240 1256148420972900 1288357354844000 1339891649037760 1352775222586200 1380382880190000 1406886231489648 1409140856860625 1435598195397600 1442960237425280 1465506491135050 1472408405536000 1495414786872500 1531304741757440 1546028825812800 1570185526216125 1607869978845312 1610446693555000 1674864561297200 1690969028232750 1731552284910336 1758607789362060 1766890086643200 1794497744247000 1803700296781600 1840510506920000 1875848308652864 1914130927196800 1932536032266000 2009837473556640 2061371767750400 2093580701621500 2143826638460416 2164440356137920 2198259736702575 2208612608304000 2243122180308750 2254625370977000 2296957112636160 2344810385816080 2392663658996000 2415670040332500 2473646121300480 2512296841945800 2576714709688000 2616975877026875 2679783298075520 2705550445172400 2760765760380000 2813772462979296 2818281713721250 2871196390795200 2885920474850560 2931012982270100 2944816811072000 2990829573745000 3092057651625600 3140371052432250 3215739957690624 3220893387110000 3349729122594400 3381938056465500 3463104569820672 3517215578724120 3588995488494000 3607400593563200 3663766227837625 3681021013840000 3751696617305728 3828261854393600 3865072064532000 4019674947113280 4122743535500800 4187161403243000 4227422570581875 4328880712275840 4396519473405150 4417225216608000 4486244360617500 4509250741954000 4593914225272320 4689620771632160 4785327317992000 4831340080665000 5024593683891600 5153429419376000 5233951754053750 5359566596151040 5411100890344800 5521531520760000 5627544925958592 5636563427442500 5742392781590400 5771840949701120 5862025964540200 5981659147490000 6184115303251200 6280742104864500 6431479915381248 6441786774220000 6699458245188800 6763876112931000 7034431157448240 7177990976988000 7214801187126400 7327532455675250 7362042027680000 7503393234611456 7656523708787200 7730144129064000 7850927631080625 8039349894226560 8374322806486000 8454845141163750 8657761424551680 8793038946810300 8834450433216000 8972488721235000 9018501483908000 9379241543264320 9570654635984000 9662680161330000 10049187367783200 10306858838752000 10467903508107500 10719133192302080 10822201780689600 10991298683512875 11043063041520000 11255089851917184 11273126854885000 11484785563180800 11724051929080400 11963318294980000 12368230606502400 12561484209729000 12883573548440000 13398916490377600 13527752225862000 14068862314896480 14355981953976000 14429602374252800 14655064911350500 14724084055360000 15006786469222912 15460288258128000 15701855262161250 16078699788453120 16748645612972000 16909690282327500 17315522849103360 17586077893620600 17944977442470000 18037002967816000 18318831139188125 18758483086528640 19141309271968000 19325360322660000 20098374735566400 20613717677504000 20935807016215000 21644403561379200 21982597367025750 22086126083040000 22510179703834368 22546253709770000 22969571126361600 23448103858160800 23926636589960000 25122968419458000 25767147096880000 26797832980755200 27055504451724000 28137724629792960 28711963907952000 28859204748505600 29310129822701000 30920576516256000 31403710524322500 32157399576906240 33497291225944000 33819380564655000 35172155787241200 35889954884940000 36074005935632000 36637662278376250 37516966173057280 38282618543936000 38650720645320000 40196749471132800 41871614032430000 43288807122758400 43965194734051500 44172252166080000 45020359407668736 45092507419540000 46896207716321600 47853273179920000 50245936838916000 51534294193760000 53595665961510400 54111008903448000 54956493417564375 56275449259585920 57423927815904000 58620259645402000 61841153032512000 62807421048645000 66994582451888000 67638761129310000 70344311574482400 71779909769880000 72148011871264000 73275324556752500 75033932346114560 77301441290640000 80393498942265600 83743228064860000 86577614245516800 87930389468103000 90185014839080000 93792415432643200 95706546359840000 100491873677832000 103068588387520000 108222017806896000 109912986835128750 112550898519171840 114847855631808000 117240519290804000 125614842097290000 133989164903776000 135277522258620000 140688623148964800 143559819539760000 144296023742528000 146550649113505000 154602882581280000 160786997884531200 167486456129720000 175860778936206000 180370029678160000 187584830865286400 191413092719680000 200983747355664000 216444035613792000 219825973670257500 225101797038343680 234481038581608000 251229684194580000 267978329807552000 270555044517240000 281377246297929600 287119639079520000 293101298227010000 309205765162560000 334972912259440000 351721557872412000 360740059356320000 375169661730572800 401967494711328000 432888071227584000 439651947340515000 468962077163216000 502459368389160000 541110089034480000 562754492595859200 574239278159040000 586202596454020000 669945824518880000 703443115744824000 721480118712640000 803934989422656000 879303894681030000 937924154326432000 1004918736778320000 1082220178068960000 1125508985191718400 1172405192908040000 1339891649037760000 1406886231489648000 1758607789362060000 1875848308652864000 2009837473556640000 2164440356137920000 2344810385816080000 2813772462979296000 3517215578724120000 4019674947113280000 4689620771632160000 5627544925958592000 7034431157448240000 9379241543264320000 14068862314896480000 28137724629792960000
- Sum of all divisors σ(n): 117345883734548141904
- Sum of proper divisors (its aliquot sum) s(n): 89208159104755181904
- 28137724629792960000 is an abundant number, because the sum of its proper divisors (89208159104755181904) is greater than itself. Its abundance is 61070434474962221904
Bases of 28137724629792960000
- Binary: 110000110011111010100011101111000100000101001000110101110000000002
- Hexadecimal: 0x1867D47788291AE00
- Base-36: 5XRZAXHEXQ6TC
Squares and roots of 28137724629792960000
- 28137724629792960000 squared (281377246297929600002) is 791731547342057367885252465561600000000
- 28137724629792960000 cubed (281377246297929600003) is 22277524259830698535656139756553896431738126336000000000000
-
The
square root of 28137724629792960000 is 5304500412.8374766299 -
The
cube root of 28137724629792960000 is 3041559.5583784937
Scales and comparisons
How big is 28137724629792960000?- 28,137,724,629,792,960,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 28,137,724,629,792,960,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 28137724629792960000 cubic inches would be around 253463.3 feet tall.
Recreational maths with 28137724629792960000
- 28137724629792960000 backwards is 00006929792642773182
- 28137724629792960000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 28137724629792960000's digits is 84
- More coming soon!
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Numbermatics. (2024). Number 28137724629792960000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/28137724629792960000/
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The information we have on file for 28137724629792960000 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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