428921263257621120
428,921,263,257,621,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 428921263257621120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
428921263257621120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428921263257621120:
27 × 32 × 5 × 72 × 192 × 4209706433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 4209706433)See below for interesting mathematical facts about the number 428921263257621120 from the Numbermatics database.
Names of 428921263257621120
- Cardinal: 428921263257621120 can be written as Four hundred twenty-eight quadrillion, nine hundred twenty-one trillion, two hundred sixty-three billion, two hundred fifty-seven million, six hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2892126325762112 × 1017
Factors of 428921263257621120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 4209706469
Divisors of 428921263257621120
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 49 56 57 60 63 64 70 72 76 80 84 90 95 96 98 105 112 114 120 126 128 133 140 144 147 152 160 168 171 180 190 192 196 210 224 228 240 245 252 266 280 285 288 294 304 315 320 336 342 360 361 380 384 392 399 420 441 448 456 480 490 504 532 560 570 576 588 608 630 640 665 672 684 720 722 735 760 784 798 840 855 882 896 912 931 960 980 1008 1064 1083 1120 1140 1152 1176 1197 1216 1260 1330 1344 1368 1440 1444 1470 1520 1568 1596 1680 1710 1764 1805 1824 1862 1920 1960 1995 2016 2128 2166 2205 2240 2280 2352 2394 2432 2520 2527 2660 2688 2736 2793 2880 2888 2940 3040 3136 3192 3249 3360 3420 3528 3610 3648 3724 3920 3990 4032 4256 4332 4410 4480 4560 4655 4704 4788 5040 5054 5320 5415 5472 5586 5760 5776 5880 5985 6080 6272 6384 6498 6720 6840 7056 7220 7296 7448 7581 7840 7980 8064 8379 8512 8664 8820 9120 9310 9408 9576 10080 10108 10640 10830 10944 11172 11552 11760 11970 12160 12635 12768 12996 13440 13680 13965 14112 14440 14896 15162 15680 15960 16245 16758 17024 17328 17640 17689 18240 18620 18816 19152 20160 20216 21280 21660 21888 22344 22743 23104 23520 23940 25270 25536 25992 27360 27930 28224 28880 29792 30324 31360 31920 32490 33516 34656 35280 35378 36480 37240 37905 38304 40320 40432 41895 42560 43320 44688 45486 46208 47040 47880 50540 51072 51984 53067 54720 55860 56448 57760 59584 60648 63840 64980 67032 69312 70560 70756 74480 75810 76608 80864 83790 85120 86640 88445 89376 90972 94080 95760 101080 103968 106134 109440 111720 113715 115520 119168 121296 127680 129960 134064 138624 141120 141512 148960 151620 153216 159201 161728 167580 173280 176890 178752 181944 191520 202160 207936 212268 223440 227430 231040 242592 255360 259920 265335 268128 282240 283024 297920 303240 318402 323456 335160 346560 353780 357504 363888 383040 404320 415872 424536 446880 454860 485184 519840 530670 536256 566048 595840 606480 636804 670320 693120 707560 727776 766080 796005 808640 849072 893760 909720 970368 1039680 1061340 1072512 1132096 1212960 1273608 1340640 1415120 1455552 1592010 1617280 1698144 1787520 1819440 2079360 2122680 2264192 2425920 2547216 2681280 2830240 2911104 3184020 3396288 3638880 4245360 4851840 5094432 5362560 5660480 6368040 6792576 7277760 8490720 10188864 11320960 12736080 14555520 16981440 20377728 25472160 33962880 50944320 101888640 4209706433 8419412866 12629119299 16838825732 21048532165 25258238598 29467945031 33677651464 37887357897 42097064330 50516477196 58935890062 63145596495 67355302928 75774715794 79984422227 84194128660 88403835093 101032954392 117871780124 126291192990 134710605856 147339725155 151549431588 159968844454 168388257320 176807670186 189436789485 202065908784 206275615217 235743560248 239953266681 252582385980 265211505279 269421211712 294679450310 303098863176 319937688908 336776514640 353615340372 378873578970 399922111135 404131817568 412551230434 442019175465 471487120496 479906533362 505164771960 530423010558 538842423424 559890955589 589358900620 606197726352 618826845651 639875377816 673553029280 707230680744 719859800043 757747157940 799844222270 808263635136 825102460868 884038350930 942974240992 959813066724 1010329543920 1031378076085 1060846021116 1119781911178 1178717801240 1199766333405 1212395452704 1237653691302 1279750755632 1326057526395 1347106058560 1414461361488 1439719600086 1515494315880 1519704022313 1599688444540 1616527270272 1650204921736 1679672866767 1768076701860 1856480536953 1885948481984 1919626133448 2020659087840 2062756152170 2121692042232 2239563822356 2357435602480 2399532666810 2424790905408 2475307382604 2559501511264 2652115052790 2694212117120 2799454777945 2828922722976 2879439200172 3030988631760 3039408044626 3094134228255 3199376889080 3300409843472 3359345733534 3536153403720 3599299000215 3712961073906 3771896963968 3839252266896 3919236689123 4041318175680 4125512304340 4243384084464 4479127644712 4559112066939 4714871204960 4799065333620 4849581810816 4950614765208 5039018600301 5119003022528 5304230105580 5598909555890 5657845445952 5758878400344 6061977263520 6078816089252 6188268456510 6398753778160 6600819686944 6718691467068 7072306807440 7198598000430 7425922147812 7598520111565 7678504533792 7838473378246 8082636351360 8251024608680 8398364333835 8486768168928 8958255289424 9118224133878 9282402684765 9429742409920 9598130667240 9901229530416 10078037200602 10238006045056 10608460211160 10637928156191 11197819111780 11315690891904 11517756800688 11757710067369 12123954527040 12157632178504 12376536913020 12797507556320 13201639373888 13437382934136 13677336200817 14144613614880 14397196000860 14851844295624 15197040223130 15357009067584 15676946756492 16502049217360 16796728667670 16973536337856 17916510578848 18236448267756 18564805369530 18859484819840 19196261334480 19596183445615 19802459060832 20156074401204 21216920422320 21275856312382 22395638223560 22795560334695 23035513601376 23515420134738 24247909054080 24315264357008 24753073826040 25195093001505 25595015112640 26403278747776 26874765868272 27354672401634 28289227229760 28794392001720 29703688591248 30394080446260 30714018135168 31353893512984 31913784468573 33004098434720 33593457335340 33947072675712 35273130202107 35833021157696 36472896535512 37129610739060 38392522668960 39192366891230 39604918121664 40312148802408 42433840844640 42551712624764 44791276447120 45591120669390 46071027202752 47030840269476 48630528714016 49506147652080 50390186003010 51190030225280 53189640780955 53749531736544 54709344803268 56578454459520 57588784003440 58788550336845 59407377182496 60788160892520 62707787025968 63827568937146 66008196869440 67186914670680 68386681004085 70546260404214 71666042315392 72945793071024 74259221478120 74465497093337 76785045337920 78384733782460 79209836243328 80624297604816 84867681689280 85103425249528 89582552894240 91182241338780 92142054405504 94061680538952 95741353405719 97261057428032 99012295304160 100780372006020 106379281561910 107499063473088 109418689606536 115177568006880 117577100673690 118814754364992 121576321785040 125415574051936 127655137874292 132016393738880 134373829341360 136773362008170 141092520808428 145891586142048 148518442956240 148930994186674 153570090675840 156769467564920 159568922342865 161248595209632 169735363378560 170206850499056 176365651010535 179165105788480 182364482677560 188123361077904 191482706811438 194522114856064 198024590608320 201560744012040 212758563123820 214998126946176 218837379213072 223396491280011 230355136013760 235154201347380 237629508729984 243152643570080 250831148103872 255310275748584 268747658682720 273546724016340 282185041616856 291783172284096 297036885912480 297861988373348 313538935129840 319137844685730 322497190419264 340413700998112 352731302021070 358330211576960 364728965355120 372327485466685 376246722155808 382965413622876 396049181216640 403121488024080 425517126247640 437674758426144 446792982560022 460710272027520 470308402694760 478706767028595 486305287140160 501662296207744 510620551497168 537495317365440 547093448032680 564370083233712 583566344568192 594073771824960 595723976746696 627077870259680 638275689371460 644994380838528 670189473840033 680827401996224 705462604042140 729457930710240 744654970933370 752493444311616 765930827245752 806242976048160 851034252495280 875349516852288 893585965120044 940616805389520 957413534057190 972610574280320 1021241102994336 1074990634730880 1094186896065360 1116982456400055 1128740166467424 1188147543649920 1191447953493392 1254155740519360 1276551378742920 1340378947680066 1361654803992448 1410925208084280 1458915861420480 1489309941866740 1504986888623232 1531861654491504 1612485952096320 1702068504990560 1750699033704576 1787171930240088 1881233610779040 1914827068114380 2042482205988672 2188373792130720 2233964912800110 2257480332934848 2382895906986784 2508311481038720 2553102757485840 2680757895360132 2821850416168560 2917831722840960 2978619883733480 3063723308983008 3224971904192640 3350947369200165 3404137009981120 3574343860480176 3762467221558080 3829654136228760 4084964411977344 4376747584261440 4467929825600220 4514960665869696 4765791813973568 5106205514971680 5361515790720264 5643700832337120 5957239767466960 6127446617966016 6701894738400330 6808274019962240 7148687720960352 7524934443116160 7659308272457520 8753495168522880 8935859651200440 9531583627947136 10212411029943360 10723031581440528 11287401664674240 11914479534933920 12254893235932032 13403789476800660 14297375441920704 15318616544915040 17871719302400880 20424822059886720 21446063162881056 22574803329348480 23828959069867840 26807578953601320 28594750883841408 30637233089830080 35743438604801760 42892126325762112 47657918139735680 53615157907202640 61274466179660160 71486877209603520 85784252651524224 107230315814405280 142973754419207040 214460631628810560 428921263257621120
- Sum of all divisors σ(n): 1818387451134570420
- Sum of proper divisors (its aliquot sum) s(n): 1389466187876949300
- 428921263257621120 is an abundant number, because the sum of its proper divisors (1389466187876949300) is greater than itself. Its abundance is 960544924619328180
Bases of 428921263257621120
- Binary: 101111100111101010110011101110011010001010100010010100000002
- Hexadecimal: 0x5F3D59DCD151280
- Base-36: 39BBWC4CQZK0
Squares and roots of 428921263257621120
- 428921263257621120 squared (4289212632576211202) is 183973450074513521398117761470054400
- 428921263257621120 cubed (4289212632576211203) is 78910124611823229967118452910195533528515460988928000
-
The
square root of 428921263257621120 is 654920806.8595936127 -
The
cube root of 428921263257621120 is 754152.5296432477
Scales and comparisons
How big is 428921263257621120?- 428,921,263,257,621,120 seconds is equal to 13,638,369,431 years, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 428,921,263,257,621,120 would take you about forty billion, nine hundred fifteen million, one hundred eight thousand, two 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 428921263257621120 cubic inches would be around 62846 feet tall.
Recreational maths with 428921263257621120
- 428921263257621120 backwards is 021126752362129824
- 428921263257621120 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428921263257621120's digits is 63
- More coming soon!
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"Number 428921263257621120 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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The information we have on file for 428921263257621120 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 428921263257621120, math, Factors of 428921263257621120, curriculum, school, college, exams, university, Prime factorization of 428921263257621120, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, nine hundred twenty-one trillion, two hundred sixty-three billion, two hundred fifty-seven million, six hundred twenty-one thousand, one hundred twenty.