428927889999375
428,927,889,999,375 is an odd composite number composed of seven prime numbers multiplied together.
428927889999375 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 428927889999375:
34 × 54 × 13 × 232 × 89 × 109 × 127
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 23 × 23 × 89 × 109 × 127)See below for interesting mathematical facts about the number 428927889999375 from the Numbermatics database.
Names of 428927889999375
- Cardinal: 428927889999375 can be written as Four hundred twenty-eight trillion, nine hundred twenty-seven billion, eight hundred eighty-nine million, nine hundred ninety-nine thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 4.28927889999375 × 1014
Factors of 428927889999375
Divisors of 428927889999375
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 3 5 9 13 15 23 25 27 39 45 65 69 75 81 89 109 115 117 125 127 135 195 207 225 267 299 325 327 345 351 375 381 405 445 529 545 575 585 621 625 635 675 801 897 975 981 1035 1053 1125 1143 1157 1335 1417 1495 1587 1625 1635 1651 1725 1755 1863 1875 1905 2025 2047 2225 2403 2507 2645 2691 2725 2875 2921 2925 2943 3105 3175 3375 3429 3471 4005 4251 4485 4761 4875 4905 4953 5175 5265 5625 5715 5785 6141 6675 6877 7085 7209 7475 7521 7935 8073 8125 8175 8255 8625 8763 8775 8829 9315 9525 9701 10125 10235 10287 10413 11125 11303 12015 12535 12753 13225 13455 13625 13843 14283 14375 14605 14625 14715 14859 15525 15875 16875 17145 17355 18423 20025 20631 21255 22425 22563 23805 24219 24375 24525 24765 25875 26289 26325 26611 28575 28925 29103 30705 31239 32591 33375 33909 34385 35425 36045 37375 37605 37973 38259 39675 40365 40875 41275 41529 42849 43125 43815 43875 44145 44577 46575 47081 47625 48505 50625 51175 51435 52065 55269 55625 56515 57661 60075 61893 62675 63765 66125 67183 67275 67689 68125 69215 71415 73025 73125 73575 74295 77625 78867 79375 79833 85725 86775 87309 92115 93717 97773 100125 101727 103155 106275 112125 112815 113919 114777 119025 121095 122625 123825 124587 126113 129375 131445 131625 133055 133731 141243 142875 144625 145515 146939 153525 156195 162955 165807 166875 169545 171925 172983 177125 179959 180225 185679 186875 188025 189865 191295 198375 201549 201825 203067 204375 206375 207645 214245 219075 219375 220725 222885 223123 232875 235405 236601 238125 239499 242525 255875 257175 259969 260325 261927 276345 282575 288305 293319 300375 305181 309465 313375 318389 318825 330625 335915 336375 338445 341757 346075 357075 365125 367875 371475 373761 378339 388125 394335 399165 423729 428625 433875 436545 440817 460575 468585 488865 500625 508635 515775 518949 531375 539877 557037 560625 564075 569595 573885 595125 604647 605475 612053 613125 619125 622935 630565 657225 658125 665275 668655 669369 706215 714375 718497 723125 727575 734695 749593 767625 779907 780975 785781 814775 829035 847725 859625 864915 873379 879957 885625 899795 901125 915543 928395 940125 949325 955167 956475 991875 1007745 1009125 1015335 1025271 1031875 1038225 1071225 1095375 1103625 1114425 1115615 1121283 1135017 1164375 1177025 1183005 1197495 1212625 1232027 1271187 1279375 1285875 1299845 1301625 1309635 1322451 1381725 1412875 1441525 1466595 1501875 1525905 1547325 1556847 1566875 1591945 1594125 1619631 1679575 1681875 1692225 1708785 1730375 1785375 1813941 1825625 1836159 1839375 1857375 1868805 1891695 1971675 1995825 2008107 2118645 2143125 2155491 2169375 2182725 2204085 2248779 2302875 2339721 2342925 2444325 2543175 2578875 2594745 2620137 2639871 2656875 2699385 2785185 2820375 2847975 2865501 2869425 2900599 2975625 3023235 3027375 3060265 3075813 3095625 3114675 3152825 3286125 3326375 3343275 3346845 3379597 3405051 3531075 3592485 3637875 3673475 3696081 3747965 3813561 3838125 3899535 3904875 3928905 3967353 4073875 4139057 4145175 4238625 4298125 4324575 4366895 4399785 4498975 4505625 4577715 4641975 4670541 4700625 4746625 4775835 4782375 4858893 5038725 5045625 5076675 5126355 5131829 5191125 5356125 5441823 5476875 5508477 5518125 5572125 5578075 5606415 5675085 5885125 5915025 5979287 5987475 6024321 6063125 6160135 6355935 6429375 6499225 6508125 6548175 6612255 6746337 6908625 7019163 7064375 7207625 7322947 7332975 7629525 7736625 7784235 7860411 7959725 7970625 8098155 8397875 8461125 8543925 8596503 8651875 8701797 8926875 9069705 9180795 9286875 9344025 9458475 9858375 9979125 10040535 10138791 10215153 10593225 10777455 10913625 11020425 11088243 11243895 11514375 11698605 11714625 11902059 12221625 12417171 12715875 12894375 12973725 13100685 13199355 13496925 13925925 14101875 14239875 14327505 14347125 14502995 14576679 15116175 15136875 15301325 15379065 15395487 15573375 15764125 16016351 16430625 16525431 16631875 16716375 16734225 16897985 17025255 17655375 17937861 17962425 18072963 18189375 18367375 18480405 18739825 19067805 19497675 19524375 19644525 19836765 20239011 20369375 20695285 20725875 21057489 21193125 21622875 21834475 21968841 21998925 22494875 22888575 23209875 23352705 23581233 23733125 23879175 23911875 24294465 25193625 25383375 25631775 25659145 25789509 25955625 26105391 26780625 27209115 27542385 27860625 27890375 28032075 28336621 28375425 29425625 29575125 29896435 29937375 30121605 30416373 30800675 31779675 32496125 32740875 33061275 33264729 33731685 34543125 35095815 36038125 36614735 36664875 37251513 38147625 38683125 38921175 39302055 39798625 40490775 41989375 42305625 42719625 42982515 43508985 45348525 45903975 46186461 46720125 47292375 48049053 49291875 49576293 49895625 50202675 50693955 51075765 52966125 53813583 53887275 54568125 55102125 55441215 56219475 58493025 58573125 59510295 60717033 61108125 62085855 63579375 64868625 65503425 65906523 65996775 66713777 67484625 69629625 70743699 71199375 71637525 71735625 72514975 72883395 75580875 76506625 76895325 76977435 77730731 77866875 78316173 78820625 80081755 82627155 83581875 83671125 84489925 85009863 85126275 88276875 89689305 89812125 90364815 91249119 91836875 92402025 93699125 95198311 95339025 97488375 98222625 99183825 99794187 101195055 103476425 103629375 105287445 108114375 109172375 109844205 109994625 111754539 112474375 114442875 116049375 116763525 117906165 119395875 121472325 125968125 126916875 128158875 128295725 128947545 130526955 136045575 137711925 138559383 139451875 140160375 141683105 141877125 144147159 147875625 149482175 149686875 150608025 152081865 154003375 158898375 161440749 162480625 163704375 165306375 166323645 168658425 175479075 183073675 183324375 186257565 190738125 194605875 196510275 197719569 198993125 200141331 202453875 213598125 214912575 217544925 226742625 229519875 230932305 233192193 233600625 234948519 236461875 240245265 247881465 251013375 253469775 255029589 255378825 264830625 269067915 269436375 273747357 275510625 277206075 281097375 285594933 292465125 297551475 303585165 310429275 324343125 327517125 329532615 329983875 333568885 335263617 337423125 348148125 353718495 358187625 362574875 364416975 368376073 377904375 382533125 384476625 384887175 388653655 391580865 400408775 413135775 415678149 418355625 422449625 425049315 425631375 432441477 448446525 449060625 451824075 456245595 462010125 468495625 475991555 476695125 484322247 487441875 491113125 495919125 498970935 505975275 517382125 526437225 545861875 549221025 549973125 558772695 572214375 583817625 589530825 593158707 596979375 600423993 607361625 640794375 641478625 644737725 651742283 652634775 680227875 688559625 692796915 699576579 700801875 708415525 709385625 720735795 747410875 753040125 760409325 765088767 770016875 794491875 807203745 826531875 831618225 843292125 856784799 877395375 915368375 931287825 973029375 982551375 988597845 1000706655 1012269375 1074562875 1087724625 1105128219 1133713125 1147599375 1154661525 1165960965 1174742595 1201226325 1239407325 1255066875 1267348875 1275147945 1276894125 1297324431 1345339575 1347181875 1368736785 1386030375 1405486875 1427974665 1462325625 1487757375 1517925825 1552146375 1637585625 1647663075 1649919375 1667844425 1676318085 1768592475 1790938125 1801271979 1812874375 1822084875 1841880365 1922383125 1924435875 1943268275 1955226849 1957904325 2002043875 2065678875 2078390745 2098729737 2112248125 2125246575 2128156875 2162207385 2242232625 2259120375 2281227975 2295266301 2310050625 2379957775 2383475625 2421611235 2479595625 2494854675 2529876375 2570354397 2586910625 2632186125 2746105125 2793863475 2919088125 2947654125 2965793535 3002119965 3036808125 3207393125 3223688625 3258711415 3263173875 3315384657 3401139375 3442798125 3463984575 3497882895 3542077625 3603678975 3737054375 3765200625 3802046625 3825443835 4036018725 4158091125 4216460625 4283923995 4386976875 4576841875 4656439125 4912756875 4942989225 5003533275 5372814375 5403815937 5438623125 5525641095 5773307625 5829804825 5865680547 5873712975 6006131625 6197036625 6296189211 6336744375 6375739725 6384470625 6486622155 6726697875 6843683925 6930151875 7139873325 7438786875 7589629125 7711063191 7760731875 8238315375 8339222125 8381590425 8472649679 8842962375 9006359895 9110424375 9209401825 9622179375 9716341375 9776134245 9789521625 9946153971 10010219375 10328394375 10391953725 10493648685 10626232875 10811036925 11211163125 11295601875 11406139875 11476331505 11899788875 12108056175 12474273375 12649381875 12851771985 13160930625 13730525625 13969317375 14738270625 14828967675 15010599825 16118443125 16293557075 16315869375 16576923285 17319922875 17489414475 17597041641 17710388125 18018394875 19010233125 19127219175 20180093625 20790455625 21419619975 23282195625 24714946125 25017666375 25417949037 27019079685 27628205475 28866538125 29149024125 29328402735 29368564875 29838461913 30030658125 30985183125 31480946055 31878698625 32433110775 33633489375 34218419625 35699366625 37948145625 38555315955 41191576875 41696110625 41907952125 42363248395 44214811875 45031799475 46047009125 48581706875 48880671225 48947608125 49730769855 51959768625 52468243425 52791124923 53131164375 54055184625 57030699375 57381657525 59498944375 60540280875 62371366875 64258859925 69846586875 74144838375 75052999125 76253847111 81467785375 82884616425 86599614375 87447072375 87985208205 90091974375 95636095875 100900468125 107098099875 123574730625 125088331875 127089745185 135095398425 138141027375 145745120625 146642013675 146842824375 149192309565 157404730275 159393493125 162165553875 171092098125 178496833125 192776579775 209539760625 211816241975 225158997375 228761541333 230235045625 244403356125 248653849275 259798843125 262341217125 263955624615 270275923125 286908287625 302701404375 321294299625 370724191875 375264995625 381269235555 407338926875 414423082125 437235361875 439926041025 478180479375 535490499375 635448725925 675476992125 686284623999 690705136875 733210068375 745961547825 787023651375 810827769375 963882898875 1059081209875 1125794986875 1143807706665 1222016780625 1243269246375 1311706085625 1319778123075 1434541438125 1606471498125 1906346177775 2072115410625 2199630205125 3177243629625 3377384960625 3431423119995 3666050341875 3729807739125 3935118256875 4819414494375 5295406049375 5719038533325 6216346231875 6598890615375 9531730888875 10998151025625 15886218148125 17157115599975 18649038695625 28595192666625 32994453076875 47658654444375 85785577999875 142975963333125 428927889999375
- Sum of all divisors σ(n): 927117407462400
- Sum of proper divisors (its aliquot sum) s(n): 498189517463025
- 428927889999375 is an abundant number, because the sum of its proper divisors (498189517463025) is greater than itself. Its abundance is 69261627463650
Bases of 428927889999375
- Binary: 11000011000011011100011101000010010000110000011112
- Hexadecimal: 0x1861B8E84860F
- Base-36: 481IR345XR
Squares and roots of 428927889999375
- 428927889999375 squared (4289278899993752) is 183979134819315940137500390625
- 428927889999375 cubed (4289278899993753) is 78913782101959730487282279962371093505859375
-
The
square root of 428927889999375 is 20710574.3522330881 -
The
cube root of 428927889999375 is 75415.6413454993
Scales and comparisons
How big is 428927889999375?- 428,927,889,999,375 seconds is equal to 13,638,580 years, 7 weeks, 2 days, 6 hours, 56 minutes, 15 seconds.
-
To count from 1 to 428,927,889,999,375 would take you about thirty-four million, ninety-six thousand, four hundred fifty 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 428927889999375 cubic inches would be around 6284.6 feet tall.
Recreational maths with 428927889999375
- 428927889999375 backwards is 573999988729824
- The number of decimal digits it has is: 15
- The sum of 428927889999375's digits is 99
- 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 428927889999375 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 428927889999375 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/428927889999375/
Chicago style:
Numbermatics. 2024. "Number 428927889999375 - Facts about the integer". https://numbermatics.com/n/428927889999375/
The information we have on file for 428927889999375 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 428927889999375, math, Factors of 428927889999375, curriculum, school, college, exams, university, Prime factorization of 428927889999375, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, nine hundred twenty-seven billion, eight hundred eighty-nine million, nine hundred ninety-nine thousand, three hundred seventy-five.