428049138838464
428,049,138,838,464 is an even composite number composed of seven prime numbers multiplied together.
428049138838464 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 428049138838464:
26 × 33 × 11 × 132 × 67 × 151 × 13171
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 13 × 67 × 151 × 13171)See below for interesting mathematical facts about the number 428049138838464 from the Numbermatics database.
Names of 428049138838464
- Cardinal: 428049138838464 can be written as Four hundred twenty-eight trillion, forty-nine billion, one hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 4.28049138838464 × 1014
Factors of 428049138838464
Divisors of 428049138838464
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 67 72 78 88 96 99 104 108 117 132 134 143 144 151 156 169 176 192 198 201 208 216 234 264 268 286 288 297 302 312 338 351 352 396 402 416 429 432 453 468 507 528 536 572 576 594 603 604 624 676 702 704 737 792 804 832 858 864 871 906 936 1014 1056 1072 1144 1188 1206 1208 1248 1287 1352 1359 1404 1474 1521 1584 1608 1661 1716 1728 1742 1809 1812 1859 1872 1963 2028 2112 2144 2211 2288 2376 2412 2416 2496 2574 2613 2704 2718 2808 2948 3042 3168 3216 3322 3432 3484 3618 3624 3718 3744 3861 3926 4056 4077 4288 4422 4563 4576 4752 4824 4832 4983 5148 5226 5408 5436 5577 5616 5889 5896 6084 6336 6432 6633 6644 6864 6968 7236 7248 7436 7488 7722 7839 7852 8112 8154 8844 9126 9152 9504 9581 9648 9664 9966 10117 10296 10452 10816 10872 11154 11232 11323 11778 11792 12168 12864 13171 13266 13288 13728 13936 14472 14496 14872 14949 15444 15678 15704 16224 16308 16731 17667 17688 18252 19008 19162 19296 19899 19932 20234 20592 20904 21593 21744 22308 22464 22646 23517 23556 23584 24336 25519 26342 26532 26576 27456 27872 28743 28944 28992 29744 29898 30351 30888 31356 31408 32448 32616 33462 33969 35334 35376 36504 38324 38592 39513 39798 39864 40468 41184 41808 43186 43488 44616 44847 45292 47034 47112 47168 48672 50193 51038 52684 53001 53064 53152 55744 57486 57888 59488 59796 60702 61776 62712 62816 64779 65232 66924 67938 70668 70752 73008 76557 76648 79026 79596 79728 80936 82368 83616 86229 86372 86976 89232 89694 90584 91053 94068 94224 97344 100386 101907 102076 105368 106002 106128 106304 111287 114972 115776 118539 118976 119592 121404 123552 124553 125424 125632 129558 130464 131521 133848 135876 141336 141504 144881 146016 153114 153296 158052 159192 159456 161872 167232 171223 172458 172744 178464 179388 181168 182106 188136 188448 194337 200772 203814 204152 210736 212004 212256 222574 229671 229944 237078 239184 242808 247104 249106 250848 258687 259116 260928 263042 267696 271752 273159 280709 282672 289762 292032 305721 306228 306592 316104 318384 318912 323744 333861 342446 344916 345488 355617 356928 358776 362336 364212 373659 376272 376896 388674 394563 401544 407628 408304 421472 424008 424512 434643 445148 459342 459888 474156 478368 485616 498212 501696 513669 517374 518232 526084 535392 543504 546318 561418 565344 579524 583011 611442 612456 613184 632208 636768 647488 667722 684892 689013 689832 690976 711234 717552 724672 728424 747318 752544 777348 789126 803088 815256 816608 842127 842944 848016 869286 882457 890296 918684 919776 948312 956736 971232 996424 1001583 1027338 1034748 1036464 1052168 1070784 1087008 1092636 1120977 1122836 1130688 1159048 1166022 1183689 1222884 1224912 1264416 1273536 1303929 1335444 1369784 1378026 1379664 1381952 1422468 1435104 1446731 1456848 1494636 1505088 1541007 1554696 1578252 1606176 1630512 1633216 1684254 1696032 1709773 1738572 1764914 1780592 1837368 1839552 1883453 1896624 1942464 1988821 1992848 2003166 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1066008056 1084868928 1101306336 1135722159 1137605612 1145560896 1175274672 1181359674 1193081864 1199259063 1203680192 1238969628 1241024304 1249975584 1282117824 1322184006 1342217097 1344442996 1354140216 1396152342 1397811888 1400129984 1465761077 1477243872 1514296212 1524885696 1567032896 1575146232 1599012084 1627303392 1640487563 1651959504 1654699072 1706408418 1718341344 1732263091 1762912008 1789622796 1805520288 1861536456 1863749184 1923176736 2016664494 2019061616 2031210324 2096717832 2100194976 2132016112 2202612672 2271444318 2275211224 2350549344 2362719348 2386163728 2398518126 2477939256 2482048608 2499951168 2559612627 2644368012 2684434194 2688885992 2708280432 2792304684 2795623776 2931522154 2954487744 3024996741 3028592424 3150292464 3198024168 3254606784 3280975126 3303919008 3407166477 3412816836 3436682688 3464526182 3525824016 3579245592 3597777189 3611040576 3697218239 3723072912 3846353472 4026651291 4033328988 4038123232 4062420648 4193435664 4200389952 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19685850756 19823514048 20476901016 20787157092 21154944096 21475473552 21511087936 22183309434 22338437472 22519420183 23452177232 24199973928 24228739392 25584193344 26247801008 26383699386 27257331816 27302534688 27716209456 28633964736 28782217512 29528776134 29577745912 30715351524 31180735638 32213210328 32266631904 32499365184 33274964151 35178265848 36299960892 36343109088 37803509568 38109788002 38376290016 39371701512 39575549079 40953802032 41574314184 42309888192 42950947104 44293164201 44366618868 44676874944 45038840366 46771103457 46904354464 48399947856 52495602016 52767398772 54514663632 54605069376 55432418912 57164682003 57564435024 59057552268 59155491824 61430703048 62361471276 64426420656 64533263808 66549928302 67558260549 70356531696 72599921784 72686218176 76219576004 76752580032 78743403024 79151098158 81907604064 83148628368 85901894208 88586328402 88733237736 90077680732 93542206914 93808708928 96799895712 99824892453 104991204032 105534797544 109029327264 110864837824 114329364006 115128870048 118115104536 118310983648 122861406096 124722942552 128852841312 133099856604 135116521098 140713063392 145199843568 152439152008 157486806048 158302196316 163815208128 166297256736 171494046009 177172656804 177466475472 180155361464 187084413828 193599791424 199649784906 202674781647 211069595088 218058654528 228658728012 230257740096 236230209072 236621967296 245722812192 247713622013 249445885104 257705682624 266199713208 270233042196 281426126784 290399687136 304878304016 314973612096 316604392632 332594513472 342988092018 354345313608 354932950944 360310722928 374168827656 399299569812 405349563294 422139190176 457317456024 472460418144 491445624384 495427244026 498891770208 514482138027 532399426416 540466084392 580799374272 608024344941 609756608032 633208785264 685976184036 708690627216 709865901888 720621445856 743140866039 748337655312 798599139624 810699126588 844278380352 914634912048 944920836288 990854488052 997783540416 1028964276054 1064798852832 1080932168784 1216048689882 1219513216064 1266417570528 1371952368072 1417381254432 1441242891712 1486281732078 1496675310624 1597198279248 1621398253176 1829269824096 1981708976104 2057928552108 2129597705664 2161864337568 2229422598117 2432097379764 2532835141056 2743904736144 2834762508864 2972563464156 2993350621248 3194396558496 3242796506352 3658539648192 3963417952208 4115857104216 4323728675136 4458845196234 4864194759528 5487809472288 5945126928312 6388793116992 6485593012704 6688267794351 7926835904416 8231714208432 8917690392468 9728389519056 10975618944576 11890253856624 12971186025408 13376535588702 15853671808832 16463428416864 17835380784936 19456779038112 23780507713248 26753071177404 32926856833728 35670761569872 38913558076224 47561015426496 53506142354808 71341523139744 107012284709616 142683046279488 214024569419232 428049138838464
- Sum of all divisors σ(n): 1518798888898560
- Sum of proper divisors (its aliquot sum) s(n): 1090749750060096
- 428049138838464 is an abundant number, because the sum of its proper divisors (1090749750060096) is greater than itself. Its abundance is 662700611221632
Bases of 428049138838464
- Binary: 11000010101001110111101001101110111101011110000002
- Hexadecimal: 0x1854EF4DDEBC0
- Base-36: 47QB25D2O0
Squares and roots of 428049138838464
- 428049138838464 squared (4280491388384642) is 183226065260350629591085879296
- 428049138838464 cubed (4280491388384643) is 78429759447453292156676233406085077546041344
-
The
square root of 428049138838464 is 20689348.4391960493 -
The
cube root of 428049138838464 is 75364.1044067631
Scales and comparisons
How big is 428049138838464?- 428,049,138,838,464 seconds is equal to 13,610,638 years, 29 weeks, 5 days, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 428,049,138,838,464 would take you about thirty-four million, twenty-six thousand, five hundred ninety-six 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 428049138838464 cubic inches would be around 6280.3 feet tall.
Recreational maths with 428049138838464
- 428049138838464 backwards is 464838831940824
- 428049138838464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428049138838464's digits is 72
- More coming soon!
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The information we have on file for 428049138838464 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 428049138838464, math, Factors of 428049138838464, curriculum, school, college, exams, university, Prime factorization of 428049138838464, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, forty-nine billion, one hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred sixty-four.