428468009435136
428,468,009,435,136 is an even composite number composed of six prime numbers multiplied together.
428468009435136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428468009435136:
223 × 32 × 112 × 17 × 31 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 17 × 31 × 89)See below for interesting mathematical facts about the number 428468009435136 from the Numbermatics database.
Names of 428468009435136
- Cardinal: 428468009435136 can be written as Four hundred twenty-eight trillion, four hundred sixty-eight billion, nine million, four hundred thirty-five thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 4.28468009435136 × 1014
Factors of 428468009435136
Divisors of 428468009435136
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 31 32 33 34 36 44 48 51 62 64 66 68 72 88 89 93 96 99 102 121 124 128 132 136 144 153 176 178 186 187 192 198 204 242 248 256 264 267 272 279 288 306 341 352 356 363 372 374 384 396 408 484 496 512 527 528 534 544 558 561 576 612 682 704 712 726 744 748 768 792 801 816 968 979 992 1023 1024 1054 1056 1068 1088 1089 1116 1122 1152 1224 1364 1408 1424 1452 1488 1496 1513 1536 1581 1584 1602 1632 1683 1936 1958 1984 2046 2048 2057 2108 2112 2136 2176 2178 2232 2244 2304 2448 2728 2759 2816 2848 2904 2937 2976 2992 3026 3069 3072 3162 3168 3204 3264 3366 3751 3872 3916 3968 4092 4096 4114 4216 4224 4272 4352 4356 4464 4488 4539 4608 4743 4896 5456 5518 5632 5696 5797 5808 5874 5952 5984 6052 6138 6144 6171 6324 6336 6408 6528 6732 7502 7744 7832 7936 8184 8192 8228 8277 8432 8448 8544 8704 8712 8811 8928 8976 9078 9216 9486 9792 10769 10912 11036 11253 11264 11392 11594 11616 11748 11904 11968 12104 12276 12288 12342 12648 12672 12816 13056 13464 13617 15004 15488 15664 15872 16368 16384 16456 16554 16643 16864 16896 17088 17391 17408 17424 17622 17856 17952 18156 18432 18513 18972 19584 21538 21824 22072 22506 22528 22784 23188 23232 23496 23808 23936 24208 24552 24576 24684 24831 25296 25344 25632 26112 26928 27234 30008 30349 30976 31328 31744 32307 32736 32768 32912 33108 33286 33728 33759 33792 34176 34782 34816 34848 35244 35712 35904 36312 36864 37026 37944 39168 43076 43648 44144 45012 45056 45568 46376 46464 46903 46992 47616 47872 48416 49104 49152 49368 49662 49929 50592 50688 51264 52173 52224 53856 54468 60016 60698 61952 62656 63488 63767 64614 65472 65536 65824 66216 66572 67456 67518 67584 68352 69564 69632 69696 70488 71424 71808 72624 73728 74052 75888 78336 86152 87296 88288 90024 90112 91047 91136 92752 92928 93806 93984 95232 95744 96832 96921 98208 98304 98736 99324 99858 101184 101376 102528 104346 104448 107712 108936 120032 121396 123904 125312 126976 127534 129228 130944 131072 131648 132432 133144 134912 135036 135168 136704 139128 139264 139392 140709 140976 142848 143616 145248 147456 148104 149787 151776 156672 172304 174592 176576 180048 180224 182094 182272 183073 185504 185856 187612 187968 190464 191301 191488 193664 193842 196416 196608 197472 198648 199716 202368 202752 205056 208692 208896 215424 217872 240064 242792 247808 250624 253952 255068 258456 261888 262144 263296 264864 266288 269824 270072 270336 273141 273408 278256 278528 278784 281418 281952 285696 287232 290496 294912 296208 299574 303552 313344 333839 344608 349184 353152 360096 360448 364188 364544 366146 371008 371712 375224 375936 380928 382602 382976 387328 387684 392832 393216 394944 397296 399432 404736 405504 410112 417384 417792 422127 430848 435744 480128 485584 495616 501248 507904 510136 515933 516912 523776 524288 526592 529728 532576 539648 540144 540672 546282 546816 549219 556512 557056 557568 562836 563904 571392 573903 574464 580992 589824 592416 599148 607104 626688 667678 689216 698368 706304 720192 720896 728376 729088 732292 742016 743424 750448 751872 761856 765204 765952 774656 775368 785664 786432 789888 794592 798864 809472 811008 820224 834768 835584 844254 861696 871488 960256 971168 991232 1001517 1002496 1015808 1020272 1031866 1033824 1047552 1048576 1053184 1059456 1065152 1079296 1080288 1081344 1092564 1093632 1098438 1113024 1114112 1115136 1125672 1127808 1142784 1147806 1148928 1161984 1179648 1184832 1198296 1214208 1253376 1335356 1378432 1396736 1412608 1440384 1441792 1456752 1458176 1464584 1484032 1486848 1500896 1503744 1523712 1530408 1531904 1547799 1549312 1550736 1571328 1572864 1579776 1589184 1597728 1618944 1622016 1640448 1647657 1669536 1671168 1688508 1723392 1742976 1920512 1942336 1982464 2003034 2004992 2031616 2040544 2063732 2067648 2095104 2097152 2106368 2118912 2130304 2158592 2160576 2162688 2185128 2187264 2196876 2226048 2228224 2230272 2251344 2255616 2285568 2295612 2297856 2323968 2359296 2369664 2396592 2428416 2506752 2670712 2756864 2793472 2825216 2880768 2883584 2913504 2916352 2929168 2968064 2973696 3001792 3004551 3007488 3047424 3060816 3063808 3095598 3098624 3101472 3142656 3145728 3159552 3178368 3195456 3237888 3244032 3280896 3295314 3339072 3342336 3377016 3446784 3485952 3841024 3884672 3964928 4006068 4009984 4063232 4081088 4127464 4135296 4190208 4194304 4212736 4237824 4260608 4317184 4321152 4325376 4370256 4374528 4393752 4452096 4456448 4460544 4502688 4511232 4571136 4591224 4595712 4643397 4647936 4718592 4739328 4793184 4856832 5013504 5341424 5513728 5586944 5650432 5675263 5761536 5767168 5827008 5832704 5858336 5936128 5947392 6003584 6009102 6014976 6094848 6121632 6127616 6191196 6197248 6202944 6285312 6291456 6319104 6356736 6390912 6475776 6488064 6561792 6590628 6678144 6684672 6754032 6893568 6971904 7682048 7769344 7929856 8012136 8019968 8126464 8162176 8254928 8270592 8380416 8388608 8425472 8475648 8521216 8634368 8642304 8650752 8740512 8749056 8787504 8904192 8912896 8921088 9005376 9022464 9142272 9182448 9191424 9286794 9295872 9437184 9478656 9586368 9713664 10027008 10682848 11027456 11173888 11300864 11350526 11523072 11534336 11654016 11665408 11716672 11872256 11894784 12007168 12018204 12029952 12189696 12243264 12255232 12382392 12394496 12405888 12570624 12582912 12638208 12713472 12781824 12951552 12976128 13123584 13181256 13356288 13369344 13508064 13787136 13943808 15364096 15538688 15859712 16024272 16039936 16252928 16324352 16509856 16541184 16760832 16850944 16951296 17025789 17042432 17268736 17284608 17301504 17481024 17498112 17575008 17808384 17825792 17842176 18010752 18044928 18284544 18364896 18382848 18573588 18591744 18874368 18957312 19172736 19427328 20054016 21365696 22054912 22347776 22601728 22701052 23046144 23068672 23308032 23330816 23433344 23744512 23789568 24014336 24036408 24059904 24379392 24486528 24510464 24764784 24788992 24811776 25141248 25165824 25276416 25426944 25563648 25903104 25952256 26247168 26362512 26712576 26738688 27016128 27574272 27887616 30728192 31077376 31719424 32048544 32079872 32505856 32648704 33019712 33082368 33521664 33701888 33902592 34051578 34084864 34537472 34569216 34603008 34962048 34996224 35150016 35616768 35651584 35684352 36021504 36089856 36569088 36729792 36765696 37147176 37183488 37748736 37914624 38345472 38854656 40108032 42731392 44109824 44695552 45203456 45402104 46092288 46137344 46616064 46661632 46866688 47489024 47579136 48028672 48072816 48119808 48758784 48973056 49020928 49529568 49577984 49623552 50282496 50552832 50853888 51077367 51127296 51806208 51904512 52494336 52725024 53425152 53477376 54032256 55148544 55775232 61456384 62154752 63438848 64097088 64159744 65011712 65297408 66039424 66164736 67043328 67403776 67805184 68103156 68169728 69074944 69138432 69206016 69924096 69992448 70300032 71233536 71303168 71368704 72043008 72179712 73138176 73459584 73531392 74294352 74366976 75497472 75829248 76690944 77709312 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683702272 705757184 715128832 723255296 726433664 737476608 745857024 746586112 749867008 759824384 761266176 768458752 769165056 769916928 780140544 783568896 784334848 792473088 793247744 793976832 804519936 808845312 813662208 817237872 818036736 828899328 830472192 839909376 843600384 854802432 864516096 882376704 892403712 983302144 994476032 1015021568 1025553408 1026555904 1044758528 1056630784 1058635776 1072693248 1078460416 1084882944 1089650496 1090715648 1105199104 1106214912 1118785536 1119879168 1124800512 1139736576 1141899264 1152688128 1154875392 1170210816 1175353344 1176502272 1188709632 1189871616 1213267968 1227055104 1243348992 1283457024 1367404544 1411514368 1430257664 1446510592 1452867328 1474953216 1491714048 1499734016 1519648768 1522532352 1536917504 1538330112 1539833856 1567137792 1568669696 1584946176 1586495488 1587953664 1609039872 1617690624 1627324416 1634475744 1636073472 1657798656 1679818752 1687200768 1709604864 1729032192 1764753408 1784807424 1966604288 1988952064 2051106816 2053111808 2089517056 2113261568 2117271552 2145386496 2156920832 2169765888 2179300992 2181431296 2210398208 2212429824 2237571072 2239758336 2249601024 2279473152 2283798528 2305376256 2309750784 2340421632 2350706688 2353004544 2377419264 2379743232 2426535936 2454110208 2486697984 2734809088 2823028736 2860515328 2893021184 2905734656 2949906432 2983428096 2999468032 3039297536 3045064704 3073835008 3076660224 3079667712 3134275584 3169892352 3172990976 3175907328 3218079744 3235381248 3254648832 3268951488 3272146944 3315597312 3359637504 3374401536 3419209728 3458064384 3529506816 3569614848 3933208576 3977904128 4102213632 4106223616 4179034112 4226523136 4234543104 4290772992 4313841664 4339531776 4358601984 4362862592 4420796416 4424859648 4475142144 4499202048 4558946304 4567597056 4610752512 4619501568 4701413376 4706009088 4754838528 4759486464 4853071872 4908220416 4973395968 5469618176 5646057472 5786042368 5811469312 5899812864 5966856192 5998936064 6078595072 6147670016 6153320448 6159335424 6268551168 6339784704 6345981952 6351814656 6436159488 6470762496 6509297664 6537902976 6544293888 6631194624 6719275008 6748803072 6838419456 6916128768 7059013632 7139229696 7866417152 7955808256 8204427264 8212447232 8358068224 8453046272 8469086208 8581545984 8627683328 8679063552 8717203968 8725725184 8849719296 8950284288 8998404096 9117892608 9135194112 9221505024 9239003136 9402826752 9509677056 9518972928 9706143744 9816440832 9946791936 10939236352 11292114944 11572084736 11622938624 11799625728 11933712384 11997872128 12157190144 12295340032 12306640896 12318670848 12537102336 12679569408 12691963904 12703629312 12872318976 12941524992 13018595328 13075805952 13088587776 13262389248 13497606144 13676838912 13832257536 14118027264 14278459392 15732834304 15911616512 16408854528 16716136448 16906092544 16938172416 17255366656 17358127104 17434407936 17451450368 17699438592 17900568576 17996808192 18235785216 18443010048 18478006272 18805653504 19019354112 19037945856 19412287488 19632881664 19893583872 21878472704 22584229888 23144169472 23245877248 23599251456 23867424768 23995744256 24314380288 24590680064 24613281792 24637341696 25074204672 25359138816 25407258624 25744637952 25883049984 26037190656 26151611904 26177175552 26995212288 27353677824 27664515072 28556918784 31465668608 31823233024 32817709056 33432272896 33812185088 33876344832 34716254208 34868815872 34902900736 35398877184 35801137152 35993616384 36471570432 36886020096 36956012544 37611307008 38038708224 38075891712 38824574976 39265763328 39787167744 43756945408 45168459776 46491754496 47198502912 47734849536 47991488512 48628760576 49181360128 49226563584 50148409344 50718277632 50814517248 51766099968 52074381312 52303223808 52354351104 53990424576 54707355648 55329030144 57113837568 63646466048 65635418112 66864545792 67624370176 67752689664 69432508416 69737631744 69805801472 70797754368 71602274304 71987232768 72943140864 73772040192 73912025088 75222614016 76077416448 77649149952 78531526656 87513890816 90336919552 92983508992 94397005824 95469699072 95982977024 98362720256 98453127168 100296818688 101436555264 101629034496 104148762624 104606447616 104708702208 107980849152 109414711296 110658060288 114227675136 127292932096 131270836224 133729091584 135248740352 135505379328 139475263488 139611602944 141595508736 143204548608 143974465536 145886281728 147544080384 150445228032 152154832896 155298299904 157063053312 175027781632 185967017984 190939398144 191965954048 196725440512 196906254336 200593637376 202873110528 203258068992 208297525248 209212895232 209417404416 215961698304 218829422592 221316120576 254585864192 262541672448 267458183168 270497480704 271010758656 278950526976 283191017472 286409097216 287948931072 295088160768 300890456064 304309665792 314126106624 350055563264 371934035968 381878796288 383931908096 393450881024 393812508672 401187274752 405746221056 406516137984 418425790464 418834808832 431923396608 437658845184 442632241152 525083344896 534916366336 540994961408 557901053952 572818194432 575897862144 590176321536 601780912128 608619331584 628252213248 700111126528 743868071936 763757592576 767863816192 787625017344 802374549504 811492442112 813032275968 836851580928 863846793216 885264482304 1050166689792 1081989922816 1115802107904 1145636388864 1151795724288 1180352643072 1203561824256 1217238663168 1256504426496 1400222253056 1487736143872 1535727632384 1575250034688 1604749099008 1622984884224 1673703161856 1727693586432 1770528964608 2100333379584 2163979845632 2231604215808 2291272777728 2303591448576 2407123648512 2434477326336 2800444506112 2975472287744 3150500069376 3245969768448 3347406323712 3455387172864 3541057929216 4200666759168 4327959691264 4463208431616 4607182897152 4814247297024 4868954652672 5950944575488 6301000138752 6491939536896 6694812647424 6910774345728 8401333518336 8926416863232 9737909305344 11901889150976 12602000277504 12983879073792 13389625294848 13821548691456 17852833726464 19475818610688 23803778301952 25204000555008 26779250589696 35705667452928 38951637221376 47607556603904 53558501179392 71411334905856 107117002358784 142822669811712 214234004717568 428468009435136
- Sum of all divisors σ(n): 1503764597462400
- Sum of proper divisors (its aliquot sum) s(n): 1075296588027264
- 428468009435136 is an abundant number, because the sum of its proper divisors (1075296588027264) is greater than itself. Its abundance is 646828578592128
Bases of 428468009435136
- Binary: 11000010110110000011110111000000000000000000000002
- Hexadecimal: 0x185B07B800000
- Base-36: 47VNHI3NK0
Squares and roots of 428468009435136
- 428468009435136 squared (4284680094351362) is 183584835109307792317791338496
- 428468009435136 cubed (4284680094351363) is 78660228861762777952713305600820626331795456
-
The
square root of 428468009435136 is 20699468.8201203849 -
The
cube root of 428468009435136 is 75388.6790900117
Scales and comparisons
How big is 428468009435136?- 428,468,009,435,136 seconds is equal to 13,623,957 years, 18 weeks, 5 days, 13 hours, 45 minutes, 36 seconds.
-
To count from 1 to 428,468,009,435,136 would take you about thirty-four million, fifty-nine thousand, eight hundred ninety-three 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 428468009435136 cubic inches would be around 6282.4 feet tall.
Recreational maths with 428468009435136
- 428468009435136 backwards is 631534900864824
- The number of decimal digits it has is: 15
- The sum of 428468009435136's digits is 63
- More coming soon!
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"Number 428468009435136 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 428468009435136 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/428468009435136/
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The information we have on file for 428468009435136 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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