428424814789920
428,424,814,789,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 428424814789920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
428424814789920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 428424814789920:
25 × 38 × 5 × 133 × 4312
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 431 × 431)See below for interesting mathematical facts about the number 428424814789920 from the Numbermatics database.
Names of 428424814789920
- Cardinal: 428424814789920 can be written as Four hundred twenty-eight trillion, four hundred twenty-four billion, eight hundred fourteen million, seven hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2842481478992 × 1014
Factors of 428424814789920
Divisors of 428424814789920
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 81 90 96 104 108 117 120 130 135 144 156 160 162 169 180 195 208 216 234 240 243 260 270 288 312 324 338 351 360 390 405 416 431 432 468 480 486 507 520 540 585 624 648 676 702 720 729 780 810 845 862 864 936 972 1014 1040 1053 1080 1170 1215 1248 1293 1296 1352 1404 1440 1458 1521 1560 1620 1690 1724 1755 1872 1944 2028 2080 2106 2155 2160 2187 2197 2340 2430 2535 2586 2592 2704 2808 2916 3042 3120 3159 3240 3380 3448 3510 3645 3744 3879 3888 4056 4212 4310 4320 4374 4394 4563 4680 4860 5070 5172 5265 5408 5603 5616 5832 6084 6240 6318 6465 6480 6561 6591 6760 6896 7020 7290 7605 7758 7776 8112 8424 8620 8748 8788 9126 9360 9477 9720 10140 10344 10530 10935 10985 11206 11232 11637 11664 12168 12636 12930 12960 13122 13182 13520 13689 13792 14040 14580 15210 15516 15795 16224 16809 16848 17240 17496 17576 18252 18720 18954 19395 19440 19773 20280 20688 21060 21870 21970 22412 22815 23274 23328 24336 25272 25860 26244 26364 27040 27378 28015 28080 28431 29160 30420 31032 31590 32805 32955 33618 33696 34480 34911 34992 35152 36504 37908 38790 38880 39546 40560 41067 41376 42120 43740 43940 44824 45630 46548 47385 48672 50427 50544 51720 52488 52728 54756 56030 56160 56862 58185 58320 59319 60840 62064 63180 65610 65910 67236 68445 68960 69822 69984 70304 72839 73008 75816 77580 79092 81120 82134 84045 84240 85293 87480 87880 89648 91260 93096 94770 98865 100854 101088 103440 104733 104976 105456 109512 112060 113724 116370 116640 118638 121680 123201 124128 126360 131220 131820 134472 136890 139644 142155 145678 146016 151281 151632 155160 158184 164268 168090 168480 170586 174555 174960 175760 177957 179296 182520 185761 186192 189540 197730 201708 205335 206880 209466 209952 210912 218517 219024 224120 227448 232740 237276 243360 246402 252135 252720 262440 263640 268944 273780 279288 284310 291356 296595 302562 303264 310320 314199 316368 328536 336180 341172 349110 349920 351520 355914 364195 365040 369603 371522 372384 379080 395460 403416 410670 418932 426465 437034 438048 448240 453843 454896 465480 474552 492804 504270 505440 523665 524880 527280 533871 537888 547560 557283 558576 568620 582712 593190 605124 616005 620640 628398 632736 655551 657072 672360 682344 698220 711828 728390 730080 739206 743044 756405 758160 790920 806832 821340 837864 852930 874068 889785 896480 907686 909792 928805 930960 942597 946907 949104 985608 1008540 1047330 1049760 1054560 1067742 1092585 1095120 1108809 1114566 1117152 1137240 1165424 1186380 1210248 1232010 1256796 1311102 1314144 1344720 1361529 1364688 1396440 1423656 1456780 1478412 1486088 1512810 1516320 1570995 1581840 1601613 1613664 1642680 1671849 1675728 1705860 1748136 1779570 1815372 1848015 1857610 1861920 1885194 1893814 1898208 1966653 1971216 2017080 2094660 2135484 2185170 2190240 2217618 2229132 2269215 2274480 2330848 2372760 2414893 2420496 2464020 2513592 2622204 2669355 2689440 2723058 2729376 2786415 2792880 2827791 2840721 2847312 2913560 2956824 2972176 3025620 3141990 3163680 3203226 3277755 3285360 3343698 3351456 3411720 3496272 3559140 3630744 3696030 3715220 3770388 3787628 3933306 3942432 4034160 4084587 4189320 4270968 4370340 4435236 4458264 4538430 4548960 4712985 4734535 4745520 4804839 4829786 4840992 4928040 5015547 5027184 5244408 5338710 5446116 5544045 5572830 5585760 5655582 5681442 5694624 5827120 5899959 5913648 5944352 6051240 6283980 6406452 6555510 6570720 6687396 6807645 6823440 6992544 7118280 7244679 7261488 7392060 7430440 7540776 7575256 7866612 8008065 8068320 8169174 8359245 8378640 8522163 8541936 8740680 8870472 8916528 9076860 9425970 9469070 9491040 9609678 9659572 9833265 9856080 10031094 10054368 10488816 10677420 10892232 11088090 11145660 11311164 11362884 11654240 11799918 11827296 12074465 12102480 12253761 12567960 12812904 13111020 13374792 13615290 13646880 14138955 14203605 14236560 14414517 14489358 14522976 14784120 14860880 15046641 15081552 15150512 15733224 16016130 16338348 16718490 16757280 17044326 17083872 17481360 17699877 17740944 17833056 18153720 18851940 18938140 19219356 19319144 19666530 19712160 20062188 20422935 20977632 21354840 21734037 21784464 22176180 22291320 22622328 22725768 23599836 24024195 24148930 24204960 24507522 25077735 25135920 25566489 25625808 26222040 26749584 27230580 28277910 28407210 28473120 28829034 28978716 29499795 29568240 29721760 30093282 30163104 30301024 31393609 31466448 32032260 32676696 33436980 34088652 34962720 35399754 35481888 36223395 36307440 36761283 37703880 37876280 38438712 38638288 39333060 40124376 40845870 42610815 42709680 43468074 43568928 44352360 44582640 45139923 45244656 45451536 47199672 48048390 48297860 49015044 50155470 50271840 51132978 51251616 52444080 53099631 53499168 54461160 56555820 56814420 57658068 57957432 58999590 59136480 60186564 61268805 62787218 62932896 64064520 65202111 65353392 66873960 68177304 70799508 72072585 72446790 72614880 73522566 75233205 75407760 75752560 76699467 76877424 77276576 78666120 80248752 81691740 85221630 85419360 86936148 88499385 88704720 89165280 90279846 90489312 90903072 94180827 94399344 96096780 96595720 98030088 100310940 102265956 104888160 106199262 108670185 108922320 113111640 113628840 115316136 115914864 117999180 120373128 122537610 125574436 127832445 128129040 130404222 130706784 133747920 135419769 136354608 141599016 144145170 144893580 147045132 150466410 150815520 151505120 153398934 153754848 156968045 157332240 159298893 160497504 163383480 170443260 173872296 176998770 177409440 180559692 183806415 188361654 188798688 192193560 193191440 195606333 196060176 200621880 204531912 212398524 217340370 217844640 225699615 226223280 227257680 230098401 230632272 231829728 235998360 240746256 245075220 251148872 255664890 256258080 260808444 265498155 267495840 270839538 272709216 282542481 283198032 288290340 289787160 294090264 300932820 306797868 313936090 314664480 318597786 326010555 326766960 340886520 347744592 353997540 361119384 367612830 376723308 383497335 384387120 386382880 391212666 392120352 401243760 406259307 408116917 409063824 424797048 434680740 451399230 452446560 454515360 460196802 461264544 470904135 471996720 477896679 481492512 490150440 502297744 511329780 521616888 530996310 541679076 565084962 566396064 576580680 579574320 586818999 588180528 601865640 613595736 627872180 637195572 652021110 653533920 677098845 681773040 690295203 695489184 707995080 722238768 735225660 753446616 766994670 768774240 782425332 796494465 802487520 812518614 816233834 818127648 847627443 849594096 869361480 902798460 920393604 941808270 943993440 955793358 978031665 980300880 1004595488 1022659560 1043233776 1061992620 1083358152 1130169924 1150492005 1153161360 1159148640 1173637998 1176361056 1203731280 1218777921 1224350751 1227191472 1255744360 1274391144 1304042220 1354197690 1363546080 1380590406 1412712405 1415990160 1444477536 1470451320 1506893232 1533989340 1564850664 1592988930 1625037228 1632467668 1695254886 1699188192 1738722960 1760456997 1805596920 1840787208 1883616540 1911586716 1956063330 1960601760 2031296535 2040584585 2045319120 2070885609 2086467552 2123985240 2166716304 2260339848 2300984010 2306322720 2347275996 2389483395 2407462560 2437555842 2448701502 2454382944 2511488720 2542882329 2548782288 2608084440 2708395380 2761180812 2825424810 2831980320 2934094995 2940902640 3013786464 3067978680 3129701328 3185977860 3250074456 3264935336 3390509772 3451476015 3477445920 3520913994 3611193840 3673052253 3681574416 3767233080 3823173432 3912126660 4062593070 4081169170 4090638240 4141771218 4238137215 4247970480 4333432608 4520679696 4601968020 4694551992 4778966790 4875111684 4897403004 5022977440 5085764658 5097564576 5216168880 5281370991 5416790760 5522361624 5650849620 5868189990 5881805280 6093889605 6121753755 6135957360 6212656827 6259402656 6371955720 6500148912 6529870672 6781019544 6902952030 7041827988 7222387680 7346104506 7363148832 7534466160 7628646987 7646346864 7824253320 8125186140 8162338340 8283542436 8476274430 8495940960 8802284985 9041359392 9203936040 9389103984 9557933580 9750223368 9794806008 10171529316 10354428045 10432337760 10562741982 10833581520 11019156759 11044723248 11301699240 11736379980 12187779210 12243507510 12271914720 12425313654 12714411645 12743911440 13000297824 13059741344 13562039088 13805904060 14083655976 14692209012 15068932320 15257293974 15292693728 15648506640 15844112973 16250372280 16324676680 16567084872 16952548860 17604569970 18365261265 18407872080 18778207968 19115867160 19500446736 19589612016 20343058632 20708856090 21125483964 21667163040 22038313518 22089446496 22603398480 22885940961 23472759960 24375558420 24487015020 24850627308 25428823290 25487822880 26406854955 27124078176 27611808120 28167311952 29384418024 30514587948 31063284135 31297013280 31688225946 32500744560 32649353360 33057470277 33134169744 33905097720 35209139940 36730522530 36815744160 38143234935 38231734320 39000893472 39179224032 40686117264 41417712180 42250967928 44076627036 45206796960 45771881922 46945519920 48751116840 48974030040 49701254616 50857646580 52813709910 55095783795 55223616240 56334623904 58768836048 61029175896 62126568270 63376451892 65001489120 65298706720 66114940554 66268339488 67810195440 68657822883 70418279880 73461045060 76286469870 76463468640 79220564865 81372234528 82835424360 84501935856 88153254072 91543763844 93891039840 97502233680 97948060080 99172410831 99402509232 101715293160 105627419820 110191567590 110447232480 114429704805 117537672096 122058351792 124253136540 126752903784 132229881108 135620390880 137315645766 140836559760 146922090120 152572939740 158441129730 165287351385 165670848720 169003871712 176306508144 183087527688 195004467360 195896120160 198344821662 198805018464 203430586320 205973468649 211254839640 220383135180 228859409610 244116703584 248506273080 253505807568 264459762216 274631291532 281673119520 293844180240 297517232493 305145879480 316882259460 330574702770 331341697440 343289114415 352613016288 366175055376 396689643324 406861172640 411946937298 422509679280 440766270360 457718819220 495862054155 497012546160 507011615136 528919524432 549262583064 587688360480 595034464986 610291758960 633764518920 661149405540 686578228830 732350110752 793379286648 823893874596 845019358560 881532540720 892551697479 915437638440 991724108310 994025092320 1029867343245 1057839048864 1098525166128 1190068929972 1220583517920 1267529037840 1322298811080 1373156457660 1487586162465 1586758573296 1647787749192 1763065081440 1785103394958 1830875276880 1983448216620 2059734686490 2197050332256 2380137859944 2535058075680 2644597622160 2677655092437 2746312915320 2975172324930 3173517146592 3295575498384 3570206789916 3661750553760 3966896433240 4119469372980 4462758487395 4760275719888 5289195244320 5355310184874 5492625830640 5950344649860 6591150996768 7140413579832 7933792866480 8238938745960 8925516974790 9520551439776 10710620369748 10985251661280 11900689299720 13388275462185 14280827159664 15867585732960 16477877491920 17851033949580 21421240739496 23801378599440 26776550924370 28561654319328 32955754983840 35702067899160 42842481478992 47602757198880 53553101848740 71404135798320 85684962957984 107106203697480 142808271596640 214212407394960 428424814789920
- Sum of all divisors σ(n): 1648433144587320
- Sum of proper divisors (its aliquot sum) s(n): 1220008329797400
- 428424814789920 is an abundant number, because the sum of its proper divisors (1220008329797400) is greater than itself. Its abundance is 791583515007480
Bases of 428424814789920
- Binary: 11000010110100110011011001110011000000101001000002
- Hexadecimal: 0x185A66CE60520
- Base-36: 47V3N54I00
Squares and roots of 428424814789920
- 428424814789920 squared (4284248147899202) is 183547821927777254773733606400
- 428424814789920 cubed (4284248147899203) is 78636441614501187307057241498336859967488000
-
The
square root of 428424814789920 is 20698425.4181307231 -
The
cube root of 428424814789920 is 75386.1456479123
Scales and comparisons
How big is 428424814789920?- 428,424,814,789,920 seconds is equal to 13,622,583 years, 47 weeks, 13 hours, 12 minutes.
-
To count from 1 to 428,424,814,789,920 would take you about thirty-four million, fifty-six thousand, four hundred fifty-nine 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 428424814789920 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428424814789920
- 428424814789920 backwards is 029987418424824
- 428424814789920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428424814789920's digits is 72
- More coming soon!
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"Number 428424814789920 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 428424814789920 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/428424814789920/
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The information we have on file for 428424814789920 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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