428939931064320
428,939,931,064,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428939931064320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
428939931064320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428939931064320:
211 × 32 × 5 × 13 × 127 × 1061 × 2657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 127 × 1061 × 2657)See below for interesting mathematical facts about the number 428939931064320 from the Numbermatics database.
Names of 428939931064320
- Cardinal: 428939931064320 can be written as Four hundred twenty-eight trillion, nine hundred thirty-nine billion, nine hundred thirty-one million, sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2893993106432 × 1014
Factors of 428939931064320
Divisors of 428939931064320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 127 128 130 144 156 160 180 192 195 208 234 240 254 256 260 288 312 320 360 381 384 390 416 468 480 508 512 520 576 585 624 635 640 720 762 768 780 832 936 960 1016 1024 1040 1061 1143 1152 1170 1248 1270 1280 1440 1524 1536 1560 1651 1664 1872 1905 1920 2032 2048 2080 2122 2286 2304 2340 2496 2540 2560 2657 2880 3048 3072 3120 3183 3302 3328 3744 3810 3840 4064 4160 4244 4572 4608 4680 4953 4992 5080 5120 5305 5314 5715 5760 6096 6144 6240 6366 6604 6656 7488 7620 7680 7971 8128 8255 8320 8488 9144 9216 9360 9549 9906 9984 10160 10240 10610 10628 11430 11520 12192 12480 12732 13208 13285 13312 13793 14859 14976 15240 15360 15915 15942 16256 16510 16640 16976 18288 18432 18720 19098 19812 19968 20320 21220 21256 22860 23040 23913 24384 24765 24960 25464 26416 26570 26624 27586 29718 29952 30480 30720 31830 31884 32512 33020 33280 33952 34541 36576 37440 38196 39624 39855 39936 40640 41379 42440 42512 45720 46080 47745 47826 48768 49530 49920 50928 52832 53140 55172 59436 59904 60960 63660 63768 65024 66040 66560 67904 68965 69082 73152 74295 74880 76392 79248 79710 79872 81280 82758 84880 85024 91440 92160 95490 95652 97536 99060 99840 101856 103623 105664 106280 110344 118872 119565 119808 121920 124137 127320 127536 130048 132080 133120 134747 135808 137930 138164 146304 148590 149760 152784 158496 159420 162560 165516 169760 170048 172705 182880 190980 191304 195072 198120 199680 203712 206895 207246 211328 212560 220688 237744 239130 239616 243840 248274 254640 255072 260096 264160 269494 271616 275860 276328 292608 297180 299520 305568 310869 316992 318840 325120 331032 337439 339520 340096 345410 365760 381960 382608 390144 396240 399360 404241 407424 413790 414492 422656 425120 441376 475488 478260 487680 496548 509280 510144 518115 528320 538988 543232 551720 552656 585216 594360 599040 611136 620685 621738 633984 637680 650240 662064 673735 674878 679040 680192 690820 731520 763920 765216 780288 792480 808482 814848 827580 828984 845312 850240 882752 950976 956520 975360 993096 1012317 1018560 1020288 1036230 1056640 1077976 1086464 1103440 1105312 1170432 1188720 1198080 1212723 1222272 1241370 1243476 1267968 1275360 1300480 1324128 1347470 1349756 1358080 1360384 1381640 1463040 1527840 1530432 1554345 1584960 1616964 1629696 1655160 1657968 1687195 1690624 1700480 1751711 1765504 1901952 1913040 1950720 1986192 2021205 2024634 2037120 2040576 2072460 2113280 2155952 2172928 2206880 2210624 2340864 2377440 2425446 2444544 2482740 2486952 2535936 2550720 2648256 2694940 2699512 2716160 2720768 2763280 2819077 2926080 3036951 3055680 3060864 3108690 3169920 3233928 3259392 3310320 3315936 3374390 3381248 3400960 3503422 3531008 3803904 3826080 3901440 3972384 4042410 4049268 4074240 4081152 4144920 4226560 4311904 4386707 4413760 4421248 4754880 4850892 4889088 4965480 4973904 5061585 5071872 5101440 5255133 5296512 5389880 5399024 5432320 5441536 5526560 5638154 5852160 6063615 6073902 6111360 6121728 6217380 6339840 6467856 6518784 6620640 6631872 6748780 6801920 7006844 7062016 7607808 7652160 7944768 8084820 8098536 8148480 8162304 8289840 8453120 8457231 8623808 8758555 8773414 8827520 8842496 9509760 9701784 9778176 9930960 9947808 10123170 10143744 10202880 10510266 10593024 10779760 10798048 10864640 11053120 11276308 11704320 12127230 12147804 12222720 12243456 12434760 12679680 12935712 13160121 13241280 13263744 13497560 13603840 14013688 14095385 14124032 15184755 15215616 15304320 15765399 15889536 16169640 16197072 16296960 16324608 16579680 16906240 16914462 17247616 17517110 17546828 17655040 17684992 19019520 19403568 19556352 19861920 19895616 20246340 20405760 21020532 21186048 21559520 21596096 21933535 22106240 22552616 24254460 24295608 24445440 24486912 24869520 25359360 25371693 25871424 26275665 26320242 26482560 26527488 26995120 27207680 28027376 28190770 28248064 30369510 30431232 30608640 31530798 31779072 32339280 32394144 32593920 33159360 33828924 34495232 35034220 35093656 35310080 35369984 36648001 38039040 38807136 39480363 39723840 39791232 40492680 40811520 42041064 42286155 42372096 43119040 43192192 43867070 44212480 45105232 48508920 48591216 48890880 48973824 49739040 50718720 50743386 51742848 52551330 52640484 52965120 53054976 53990240 56054752 56381540 60739020 61217280 63061596 63558144 64678560 64788288 65800605 66318720 67657848 68990464 70068440 70187312 70620160 70739968 73296002 76078080 77614272 78826995 78960726 79447680 79582464 80985360 81623040 84082128 84572310 84744192 86238080 86384384 87734140 88424960 90210464 97017840 97182432 97781760 99478080 101486772 103485696 105102660 105280968 105930240 106109952 107980480 109944003 112109504 112763080 121478040 122434560 126123192 126858465 127116288 129357120 129576576 131601210 132637440 135315696 137980928 140136880 140374624 141240320 146592004 152156160 155228544 157653990 157921452 158895360 159164928 161970720 168164256 169144620 172476160 172768768 175468280 176849920 180420928 183240005 194035680 194364864 197401815 198956160 202973544 206971392 210205320 210561936 211860480 212219904 215960960 219888006 224219008 225526160 242956080 244869120 252246384 253716930 254232576 258714240 259153152 263202420 265274880 270631392 275961856 280273760 280749248 293184008 310457088 315307980 315842904 317790720 318329856 323941440 329832009 336328512 338289240 344952320 345537536 350936560 353699840 358022779 360841856 366480010 388071360 388729728 394803630 397912320 405947088 413942784 420410640 421123872 423720960 431921920 439776012 448438016 451052320 485912160 504492768 507433860 517428480 518306304 526404840 530549760 541262784 549720015 560547520 561498496 586368016 620914176 630615960 631685808 635581440 636659712 647882880 659664018 672657024 676578480 689904640 691075072 701873120 716045558 721683712 732960020 776142720 777459456 789607260 795824640 811894176 827885568 840821280 842247744 863843840 879552024 896876032 902104640 971824320 1008985536 1014867720 1034856960 1036612608 1052809680 1061099520 1074068337 1082525568 1099440030 1121095040 1122996992 1172736032 1241828352 1261231920 1263371616 1271162880 1295765760 1319328036 1345314048 1353156960 1379809280 1403746240 1432091116 1443367424 1465920040 1552285440 1554918912 1579214520 1591649280 1623788352 1649160045 1681642560 1684495488 1727687680 1759104048 1790113895 1793752064 1804209280 1943648640 2017971072 2029735440 2069713920 2073225216 2105619360 2148136674 2165051136 2198880060 2242190080 2245993984 2345472064 2483656704 2522463840 2526743232 2591531520 2638656072 2690628096 2706313920 2807492480 2864182232 2886734848 2931840080 3104570880 3109837824 3158429040 3183298560 3222205011 3247576704 3298320090 3363285120 3368990976 3455375360 3518208096 3580227790 3587504128 3608418560 3887297280 4035942144 4059470880 4139427840 4211238720 4296273348 4330102272 4397760120 4484380160 4491987968 4654296127 4690944128 5044927680 5053486464 5183063040 5277312144 5370341685 5381256192 5412627840 5614984960 5728364464 5773469696 5863680160 6209141760 6219675648 6316858080 6444410022 6495153408 6596640180 6726570240 6737981952 7036416192 7160455580 7216837120 7774594560 8071884288 8118941760 8422477440 8592546696 8660204544 8795520240 8968760320 8983975936 9308592254 9381888256 10089855360 10106972928 10366126080 10554624288 10740683370 10762512384 10825255680 11229969920 11456728928 11727360320 12418283520 12633716160 12888820044 12990306816 13193280360 13453140480 13475963904 13962888381 14072832384 14320911160 14433674240 15549189120 16111025055 16143768576 16237883520 16844954880 17185093392 17320409088 17591040480 17937520640 18617184508 18763776512 20179710720 20213945856 21109248576 21481366740 21650511360 22459939840 22913457856 23271480635 23454720640 25267432320 25777640088 25980613632 26386560720 26906280960 26951927808 27925776762 28145664768 28641822320 28867348480 31098378240 32222050110 32287537152 32475767040 33689909760 34370186784 35182080960 37234369016 37527553024 40359421440 40427891712 41888665143 42218497152 42962733480 43301022720 44919879680 45826915712 46542961270 46909441280 50534864640 51555280176 51961227264 52773121440 53812561920 55851553524 56291329536 57283644640 64444100220 64951534080 67379819520 68740373568 69814441905 70364161920 74468738032 75055106048 80718842880 80855783424 83777330286 84436994304 85925466960 86602045440 91653831424 93085922540 93818882560 101069729280 103110560352 105546242880 111703107048 112582659072 114567289280 128888200440 129903068160 134759639040 137480747136 139628883810 140728323840 148937476064 161437685760 167554660572 168873988608 171850933920 183307662848 186171845080 187637765120 202139458560 206221120704 209443325715 211092485760 223406214096 225165318144 229134578560 257776400880 259806136320 274961494272 279257767620 281456647680 297874952128 335109321144 337747977216 343701867840 366615325696 372343690160 375275530240 404278917120 412442241408 418886651430 422184971520 446812428192 458269157120 515552801760 549922988544 558515535240 562913295360 595749904256 670218642288 675495954432 687403735680 733230651392 744687380320 824884482816 837773302860 844369943040 893624856384 916538314240 1031105603520 1099845977088 1117031070480 1125826590720 1191499808512 1340437284576 1374807471360 1489374760640 1649768965632 1675546605720 1688739886080 1787249712768 1833076628480 2062211207040 2199691954176 2234062140960 2382999617024 2680874569152 2749614942720 2978749521280 3299537931264 3351093211440 3377479772160 3574499425536 3666153256960 4124422414080 4468124281920 4765999234048 5361749138304 5499229885440 5957499042560 6599075862528 6702186422880 7148998851072 8248844828160 8936248563840 9531998468096 10723498276608 10998459770880 11914998085120 13404372845760 14297997702144 16497689656320 17872497127680 21446996553216 23829996170240 26808745691520 28595995404288 32995379312640 35744994255360 42893993106432 47659992340480 53617491383040 71489988510720 85787986212864 107234982766080 142979977021440 214469965532160 428939931064320
- Sum of all divisors σ(n): 1615719652485120
- Sum of proper divisors (its aliquot sum) s(n): 1186779721420800
- 428939931064320 is an abundant number, because the sum of its proper divisors (1186779721420800) is greater than itself. Its abundance is 757839790356480
Bases of 428939931064320
- Binary: 11000011000011110010111000011100010011000000000002
- Hexadecimal: 0x1861E5C389800
- Base-36: 481OA81Z40
Squares and roots of 428939931064320
- 428939931064320 squared (4289399310643202) is 183989464461463593727977062400
- 428939931064320 cubed (4289399310643203) is 78920428202661348406851852264022179053568000
-
The
square root of 428939931064320 is 20710865.0486723997 -
The
cube root of 428939931064320 is 75416.3470399833
Scales and comparisons
How big is 428939931064320?- 428,939,931,064,320 seconds is equal to 13,638,963 years, 3 days, 11 hours, 12 minutes.
-
To count from 1 to 428,939,931,064,320 would take you about thirty-four million, ninety-seven thousand, four 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 428939931064320 cubic inches would be around 6284.7 feet tall.
Recreational maths with 428939931064320
- 428939931064320 backwards is 023460139939824
- The number of decimal digits it has is: 15
- The sum of 428939931064320's digits is 63
- More coming soon!
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The information we have on file for 428939931064320 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 428939931064320, math, Factors of 428939931064320, curriculum, school, college, exams, university, Prime factorization of 428939931064320, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, nine hundred thirty-nine billion, nine hundred thirty-one million, sixty-four thousand, three hundred twenty.