428240842320384
428,240,842,320,384 is an even composite number composed of five prime numbers multiplied together.
428240842320384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428240842320384:
29 × 37 × 17 × 233 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 23 × 23 × 23 × 43 × 43)See below for interesting mathematical facts about the number 428240842320384 from the Numbermatics database.
Names of 428240842320384
- Cardinal: 428240842320384 can be written as Four hundred twenty-eight trillion, two hundred forty billion, eight hundred forty-two million, three hundred twenty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.28240842320384 × 1014
Factors of 428240842320384
Divisors of 428240842320384
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 27 32 34 36 43 46 48 51 54 64 68 69 72 81 86 92 96 102 108 128 129 136 138 144 153 162 172 184 192 204 207 216 243 256 258 272 276 288 306 324 344 368 384 387 391 408 414 432 459 486 512 516 529 544 552 576 612 621 648 688 729 731 736 768 774 782 816 828 864 918 972 989 1032 1058 1088 1104 1152 1161 1173 1224 1242 1296 1376 1377 1458 1462 1472 1536 1548 1564 1587 1632 1656 1728 1836 1849 1863 1944 1978 2064 2116 2176 2187 2193 2208 2304 2322 2346 2448 2484 2592 2752 2754 2916 2924 2944 2967 3096 3128 3174 3264 3312 3456 3483 3519 3672 3698 3726 3888 3956 4128 4131 4232 4352 4374 4386 4416 4608 4644 4692 4761 4896 4968 5184 5504 5508 5547 5589 5832 5848 5888 5934 6192 6256 6348 6528 6579 6624 6912 6966 7038 7344 7396 7452 7776 7912 8256 8262 8464 8704 8748 8772 8832 8901 8993 9288 9384 9522 9792 9936 10368 10449 10557 11008 11016 11094 11178 11664 11696 11776 11868 12167 12384 12393 12512 12696 13056 13158 13248 13824 13932 14076 14283 14688 14792 14904 15552 15824 16512 16524 16641 16767 16813 16928 17496 17544 17664 17802 17986 18576 18768 19044 19584 19737 19872 20736 20898 21114 22016 22032 22188 22356 22747 23328 23392 23736 24334 24768 24786 25024 25392 26112 26316 26496 26703 26979 27864 28152 28566 29376 29584 29808 31104 31347 31433 31648 31671 33024 33048 33282 33534 33626 33856 34992 35088 35328 35604 35972 36501 37152 37179 37536 38088 39168 39474 39744 41472 41796 42228 42527 42849 44064 44376 44712 45494 46656 46784 47472 48668 49536 49572 49923 50048 50301 50439 50784 52632 52992 53406 53958 55728 56304 57132 58752 59168 59211 59616 62208 62694 62866 63296 63342 66048 66096 66564 67068 67252 67712 68241 69984 70176 71208 71944 73002 74304 74358 75072 76176 78336 78948 79488 80109 80937 83592 84456 85054 85698 88128 88752 89424 90988 93312 93568 94041 94299 94944 95013 97336 99072 99144 99846 100096 100602 100878 101568 105264 105984 106812 107916 109503 111456 112608 114264 117504 118336 118422 119232 124416 125388 125732 126592 126684 127581 128547 132192 133128 134136 134504 135424 136482 139968 140352 142416 143888 146004 148608 148716 149769 150144 151317 152352 157896 158976 160218 161874 167184 168912 170108 171396 176256 177504 177633 178848 181976 186624 187136 188082 188598 189888 190026 194672 198144 198288 199692 200192 201204 201756 203136 204723 206839 210528 213624 215832 219006 222912 225216 228528 235008 236672 236844 238464 240327 242811 250776 251464 253184 253368 255162 257094 264384 266256 268272 269008 270848 272964 279936 280704 282897 284832 285039 287776 292008 297216 297432 299538 300288 302634 304704 315792 317952 320436 323748 328509 334368 337824 340216 342792 352512 355008 355266 357696 363952 373248 374272 376164 377196 379776 380052 382743 385641 386699 389344 396576 399384 402408 403512 406272 409446 413678 421056 427248 431664 438012 445824 449307 450432 453951 457056 473344 473688 476928 480654 485622 501552 502928 506368 506736 510324 514188 523181 528768 532512 532899 536544 538016 545928 559872 561408 565794 569664 570078 575552 584016 594432 594864 599076 600576 605268 609408 614169 620517 631584 640872 647496 657018 668736 675648 680432 685584 705024 710016 710532 715392 720981 722959 727904 728433 752328 754392 759552 760104 765486 771282 773398 778688 793152 798768 804816 807024 812544 818892 827356 842112 848691 854496 855117 863328 876024 891648 898614 900864 907902 914112 946688 947376 953856 961308 971244 978121 985527 1003104 1005856 1013472 1020648 1028376 1046362 1057536 1065024 1065798 1073088 1076032 1091856 1119744 1122816 1131588 1139328 1140156 1148229 1151104 1156923 1160097 1168032 1189728 1198152 1210536 1218816 1228338 1241034 1263168 1281744 1294992 1314036 1337472 1347921 1351296 1360864 1361853 1371168 1420032 1421064 1430784 1441962 1445918 1455808 1456866 1504656 1508784 1519104 1520208 1530972 1542564 1546796 1557376 1569543 1586304 1597536 1598697 1609632 1614048 1637784 1654712 1684224 1697382 1708992 1710234 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1110465024 1118873088 1126795392 1127614284 1135327104 1138441856 1144196847 1147335933 1176640992 1197220104 1205409024 1206285048 1214826282 1249273152 1258732224 1267644816 1280747088 1303589376 1322759808 1336431744 1346872617 1356085152 1405432296 1415045376 1426100418 1429671168 1439794112 1440840474 1466538048 1488104784 1502393856 1503485712 1513769472 1525595796 1529781244 1568854656 1581111333 1591926048 1596293472 1608380064 1619768376 1665697536 1678309632 1690193088 1691421426 1702990656 1707662784 1763679744 1781908992 1795830156 1808113536 1809427572 1822239423 1873909728 1901467224 1921120632 1955384064 1984139712 2004647616 2034127728 2070406656 2091806208 2108148444 2122568064 2128391296 2139150627 2144506752 2159691168 2161260711 2199807072 2253590784 2255228568 2270654208 2276883712 2288393694 2294671866 2353281984 2394440208 2410818048 2412570096 2429652564 2498546304 2517464448 2535289632 2561494176 2645519616 2672863488 2693745234 2712170304 2810864592 2830090752 2852200836 2859342336 2879588224 2881680948 2933076096 2976209568 3006971424 3051191592 3059562488 3137709312 3162222666 3183852096 3192586944 3216760128 3239536752 3331395072 3356619264 3380386176 3382842852 3405981312 3415325568 3442007799 3591660312 3616227072 3618855144 3644478846 3747819456 3802934448 3842241264 3910768128 3968279424 4009295232 4040617851 4068255456 4216296888 4245136128 4256782592 4278301254 4289013504 4319382336 4322521422 4399614144 4507181568 4510457136 4541308416 4553767424 4576787388 4589343732 4706563968 4788880416 4825140192 4859305128 4997092608 5034928896 5070579264 5122988352 5291039232 5345726976 5387490468 5424340608 5466718269 5621729184 5704401672 5759176448 5763361896 5866152192 5952419136 6013942848 6102383184 6119124976 6275418624 6324445332 6367704192 6385173888 6433520256 6479073504 6483782133 6760772352 6765685704 6811962624 6830651136 6884015598 7183320624 7232454144 7237710288 7288957692 7495638912 7605868896 7684482528 7936558848 8018590464 8081235702 8136510912 8432593776 8490272256 8513565184 8556602508 8578027008 8638764672 8645042844 8799228288 9020914272 9153574776 9178687464 9413127936 9577760832 9650280384 9718610256 9994185216 10069857792 10141158528 10245976704 10326023397 10774980936 10848681216 10933436538 11243458368 11408803344 11518352896 11526723792 11732304384 11904838272 12027885696 12121853553 12204766368 12238249952 12648890664 12735408384 12770347776 12867040512 12958147008 12967564266 13521544704 13531371408 13623925248 13661302272 13768031196 14366641248 14475420576 14577915384 14991277824 15211737792 15368965056 15873117696 16037180928 16162471404 16273021824 16400154807 16865187552 17113205016 17277529344 17290085688 17598456576 18041828544 18307149552 18357374928 18826255872 19155521664 19300560768 19437220512 19451346399 20282317056 20491953408 20652046794 21549961872 21697362432 21866873076 22486916736 22817606688 23053447584 23809676544 24055771392 24243707106 24409532736 24476499904 25297781328 25470816768 25540695552 25734081024 25916294016 25935128532 27062742816 27536062392 28733282496 28950841152 29155830768 29982555648 30423475584 30737930112 30978070191 32324942808 32546043648 32800309614 33730375104 34226410032 34555058688 34580171376 35196913152 36083657088 36365560659 36614299104 36714749856 38311043328 38601121536 38874441024 38902692798 40564634112 40983906816 41304093588 43099923744 43733746152 44973833472 45635213376 46106895168 47619353088 48111542784 48487414212 48819065472 48952999808 49200464421 50595562656 51832588032 51870257064 54125485632 55072124784 57466564992 57901682304 58311661536 60846951168 61475860224 61956140382 64649885616 65092087296 65600619228 67460750208 68452820064 69160342752 72167314176 72731121318 73228598208 73429499712 76622086656 77202243072 77748882048 77805385596 82608187176 86199847488 87467492304 89947666944 91270426752 92213790336 92934210573 96974828424 97638130944 97905999616 98400928842 101191125312 103665176064 103740514128 108250971264 110144249568 114933129984 115803364608 116623323072 121693902336 122951720448 123912280764 129299771232 131201238456 134921500416 136905640128 138320685504 144334628352 145462242636 146457196416 146858999424 155497764096 155610771192 165216374352 172399694976 174934984608 182540853504 184427580672 185868421146 193949656848 195276261888 195811999232 196801857684 202382250624 207481028256 216501942528 220288499136 229866259968 231606729216 233246646144 247824561528 258599542464 262402476912 269843000832 273811280256 276641371008 278802631719 290924485272 292914392832 293717998848 310995528192 311221542384 330432748704 344799389952 349869969216 365081707008 368855161344 371736842292 387899313696 393603715368 404764501248 414962056512 433003885056 440576998272 466493292288 495649123056 517199084928 524804953824 547622560512 553282742016 557605263438 581848970544 585828785664 587435997696 622443084768 660865497408 689598779904 699739938432 743473684584 775798627392 787207430736 809529002496 829924113024 836407895157 881153996544 932986584576 991298246112 1034398169856 1049609907648 1095245121024 1106565484032 1115210526876 1163697941088 1244886169536 1321730994816 1399479876864 1486947369168 1551597254784 1574414861472 1659848226048 1672815790314 1762307993088 1982596492224 2068796339712 2099219815296 2230421053752 2327395882176 2489772339072 2643461989632 2798959753728 2973894738336 3103194509568 3148829722944 3319696452096 3345631580628 3965192984448 4198439630592 4460842107504 4654791764352 4979544678144 5286923979264 5947789476672 6206389019136 6297659445888 6691263161256 7930385968896 8396879261184 8921684215008 9309583528704 9959089356288 11895578953344 12595318891776 13382526322512 15860771937792 17843368430016 18619167057408 23791157906688 25190637783552 26765052645024 35686736860032 47582315813376 53530105290048 71373473720064 107060210580096 142746947440128 214120421160192 428240842320384
- Sum of all divisors σ(n): 1454319099763200
- Sum of proper divisors (its aliquot sum) s(n): 1026078257442816
- 428240842320384 is an abundant number, because the sum of its proper divisors (1026078257442816) is greater than itself. Its abundance is 597837415122432
Bases of 428240842320384
- Binary: 11000010101111011100101110100100011101010000000002
- Hexadecimal: 0x1857B9748EA00
- Base-36: 47SR4KO000
Squares and roots of 428240842320384
- 428240842320384 squared (4282408423203842) is 183390219031271991949301907456
- 428240842320384 cubed (4282408423203843) is 78535181871271634097501316029848660270383104
-
The
square root of 428240842320384 is 20693980.8234274731 -
The
cube root of 428240842320384 is 75375.3534306513
Scales and comparisons
How big is 428240842320384?- 428,240,842,320,384 seconds is equal to 13,616,734 years, 7 weeks, 5 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 428,240,842,320,384 would take you about thirty-four million, forty-one thousand, eight hundred thirty-five 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 428240842320384 cubic inches would be around 6281.3 feet tall.
Recreational maths with 428240842320384
- 428240842320384 backwards is 483023248042824
- 428240842320384 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428240842320384's digits is 54
- More coming soon!
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MLA style:
"Number 428240842320384 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 428240842320384 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/428240842320384/
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Numbermatics. 2024. "Number 428240842320384 - Facts about the integer". https://numbermatics.com/n/428240842320384/
The information we have on file for 428240842320384 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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