428681854988128
428,681,854,988,128 is an even composite number composed of five prime numbers multiplied together.
428681854988128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 428681854988128:
25 × 73 × 173 × 194 × 61
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 17 × 17 × 17 × 19 × 19 × 19 × 19 × 61)See below for interesting mathematical facts about the number 428681854988128 from the Numbermatics database.
Names of 428681854988128
- Cardinal: 428681854988128 can be written as Four hundred twenty-eight trillion, six hundred eighty-one billion, eight hundred fifty-four million, nine hundred eighty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.28681854988128 × 1014
Factors of 428681854988128
Divisors of 428681854988128
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 61 68 76 98 112 119 122 133 136 152 196 224 238 244 266 272 289 304 323 343 361 392 427 476 488 532 544 578 608 646 686 722 784 833 854 931 952 976 1037 1064 1156 1159 1292 1372 1444 1568 1666 1708 1862 1904 1952 2023 2074 2128 2261 2312 2318 2527 2584 2744 2888 2989 3332 3416 3724 3808 4046 4148 4256 4522 4624 4636 4913 5054 5168 5488 5491 5776 5831 5978 6137 6517 6664 6832 6859 7259 7448 8092 8113 8296 9044 9248 9272 9826 10108 10336 10976 10982 11552 11662 11956 12274 13034 13328 13664 13718 14161 14518 14896 15827 16184 16226 16592 17629 17689 18088 18544 19652 19703 20216 20923 21964 22021 23324 23912 24548 26068 26656 27436 28322 29036 29792 31654 32368 32452 33184 34391 35258 35378 36176 37088 38437 39304 39406 40432 41846 42959 43928 44042 46648 47824 48013 49096 50813 52136 54872 56644 56791 58072 63308 64736 64904 68782 70516 70756 72352 76874 78608 78812 80864 83692 85918 87856 88084 93296 93347 95648 96026 98192 99127 101626 104272 104329 109744 110789 113288 113582 116144 116603 123403 123823 126616 129808 130321 137564 137921 141032 141512 153748 154147 157216 157624 167384 171836 175712 176168 186592 186694 192052 196384 198254 203252 208544 208658 219488 221578 226576 227164 232288 233206 240737 246806 247646 253232 259616 260642 269059 275128 275842 282064 283024 299693 300713 307496 308294 315248 334768 334951 336091 343672 352336 355691 373388 374357 384104 396508 397537 406504 417316 418399 443156 453152 454328 466412 481474 493612 495292 506464 521284 538118 550256 551684 564128 566048 599386 601426 614992 616588 630496 653429 669536 669902 672182 687344 704672 711382 730303 746776 748714 768208 793016 795074 813008 816221 834632 836798 863821 886312 908656 912247 932824 962948 965447 987224 990584 1042568 1076236 1079029 1100512 1103368 1198772 1202852 1229984 1233176 1306858 1339804 1344364 1374688 1422764 1460606 1493552 1497428 1536416 1586032 1590148 1626016 1632442 1669264 1673596 1685159 1727642 1772624 1773593 1817312 1824494 1865648 1883413 1925896 1930894 1974448 1981168 1982251 2085136 2097851 2104991 2152472 2158058 2206736 2215457 2344657 2352637 2397544 2405704 2466352 2613716 2620499 2679608 2688728 2845528 2921212 2928793 2987104 2994856 3172064 3180296 3264884 3338528 3347192 3370318 3455284 3545248 3547186 3648988 3731296 3766826 3851792 3861788 3948896 3962336 3964502 4170272 4195702 4209982 4304944 4316116 4413472 4430914 4574003 4689314 4705274 4795088 4811408 4932704 5112121 5227432 5240998 5359216 5377456 5691056 5694167 5713547 5842424 5857586 5989712 6046747 6360592 6364069 6385729 6529768 6694384 6740636 6758129 6910568 7094372 7112783 7297976 7533652 7553203 7703584 7723576 7929004 7949581 8391404 8419964 8609888 8632232 8861828 9148006 9378628 9410548 9590176 9622816 10224242 10454864 10481996 10718432 10754912 11382112 11388334 11427094 11684848 11715172 11979424 12093494 12415151 12721184 12728138 12771458 13059536 13388768 13481272 13516258 13821136 13875757 14188744 14225566 14595952 14684957 15067304 15106406 15447152 15508199 15858008 15899162 16412599 16782808 16839928 17264464 17723656 18296012 18343493 18757256 18821096 20448484 20501551 20909728 20963992 22776668 22854188 23369696 23430344 24186988 24830302 25456276 25542916 26119072 26962544 27032516 27642272 27751514 28377488 28451132 29191904 29369914 30134608 30212812 30894304 31016398 31716016 31798324 32018021 32825198 33565616 33679856 33698267 34528928 35447312 35784847 36592024 36686986 37514512 37642192 37662769 39859169 39994829 40896968 41003102 41927984 44548483 44700103 45553336 45708376 46860688 48373976 49660604 49789481 50912552 51085832 53925088 54065032 55503028 55647067 56754976 56902264 58739828 60269216 60425624 62032796 63432032 63596648 64036042 65650396 67131232 67359712 67396534 70894624 71569694 73184048 73373972 75029024 75284384 75325538 79718338 79989658 81793936 82006204 83855968 86906057 89096966 89400206 91106672 91416752 93721376 96747952 97130299 99321208 99578962 101825104 102171664 102794699 108130064 108189173 108557393 111006056 111294134 113804528 114888193 117479656 120851248 120917311 124065592 127193296 128072084 128404451 131300792 134793068 135142877 143139388 143510857 146368096 146747944 150651076 159436676 159979316 163587872 164012408 173812114 178193932 178800412 182213344 182833504 193495904 194260598 198642416 199157924 203650208 204343328 205589398 216260128 216378346 217114786 222012112 222588268 227609056 229776386 234959312 235887869 241702496 241834622 248131184 254386592 256144168 256808902 262601584 263639383 269586136 270285754 279014183 286278776 287021714 293495888 301302152 311839381 318873352 319958632 328024816 347624228 348526367 356387864 357600824 388521196 389529469 397284832 398315848 411178796 432756692 434229572 444024224 445176536 459552772 469918624 471775738 483669244 496262368 512288336 513617804 525203168 527278766 539172272 540571508 558028366 572557552 574043428 586991776 602604304 608342399 623678762 637746704 639917264 640267073 656049632 679912093 695248456 697052734 712775728 715201648 757324211 759901751 777042392 779058938 796631696 822357592 846421177 865513384 868459144 890353072 919105544 943551476 946000139 967338488 1024576672 1027235608 1054557532 1078344544 1081143016 1116056732 1145115104 1148086856 1205208608 1216684798 1247357524 1275493408 1279834528 1280534146 1359824186 1390496912 1394105468 1425551456 1430403296 1514648422 1519803502 1554084784 1558117876 1593263392 1644715184 1651215083 1692842354 1731026768 1736918288 1780706144 1838211088 1845475681 1887102952 1892000278 1934676976 1953099281 2054471216 2055594287 2109115064 2162286032 2182875667 2232113464 2296173712 2297428909 2433369596 2439684569 2494715048 2561068292 2719648372 2726706283 2780993824 2788210936 3029296844 3039607004 3108169568 3116235752 3289430368 3302430166 3385684708 3462053536 3473836576 3676422176 3690951362 3774205904 3784000556 3869353952 3906198562 4108942432 4111188574 4218230128 4324572064 4365751334 4464226928 4481869511 4592347424 4594857818 4866739192 4879369138 4989430096 5122136584 5301269477 5439296744 5453412566 5576421872 5924948239 6058593688 6079214008 6232471504 6604860332 6622000973 6771369416 7381902724 7548411808 7568001112 7812397124 8222377148 8436460256 8731502668 8928453856 8963739022 9189715636 9733478384 9758738276 9978860192 10244273168 10602538954 10878593488 10906825132 11152843744 11558505581 11849896478 12117187376 12158428016 12464943008 12918329767 13209720664 13244001946 13542738832 14389160009 14763805448 15136002224 15624794248 16082002363 16444754296 17463005336 17927478044 18379431272 19466956768 19517476552 20488546336 21205077908 21757186976 21813650264 23117011162 23699792956 24234374752 24316856032 25836659534 26419441328 26488003892 27085477664 28778320018 29527610896 30272004448 31249588496 31373086577 32164004726 32889508592 34926010672 35854956088 36758862544 37108886339 39034953104 39056291453 41474637673 42410155816 43627300528 46234022324 46354006811 47399585912 51673319068 52838882656 52976007784 57556640036 59055221792 62499176992 62746173154 64328009452 65779017184 69852021344 71709912176 73517725088 74217772678 78069906208 78112582906 82949275346 84820311632 87254601056 92468044648 92708013622 94799171824 100724120063 103346638136 105952015568 112574016541 115113280072 125492346308 128656018904 143419824352 148435545356 156225165812 165898550692 169640623264 184936089296 185416027244 189598343648 201448240126 206693276272 211904031136 219611606039 225148033082 230226560144 250984692616 257312037808 273394040171 296871090712 312450331624 331797101384 369872178592 370832054488 402896480252 413386552544 439223212078 450296066164 460453120288 501969385232 514624075616 546788080342 593742181424 624900663248 663594202768 705068840441 741664108976 788018115787 805792960504 878446424156 900592132328 1003938770464 1093576160684 1187484362848 1249801326496 1327188405536 1410137680882 1483328217952 1576036231574 1611585921008 1756892848312 1801184264656 1913758281197 2187152321368 2820275361764 3152072463148 3223171842016 3513785696624 3602368529312 3827516562394 4374304642736 5640550723528 6304144926296 7027571393248 7655033124788 8748609285472 11281101447056 12608289852592 13396307968379 15310066249576 22562202894112 25216579705184 26792615936758 30620132499152 53585231873516 61240264998304 107170463747032 214340927494064 428681854988128
- Sum of all divisors σ(n): 1121910099408000
- Sum of proper divisors (its aliquot sum) s(n): 693228244419872
- 428681854988128 is an abundant number, because the sum of its proper divisors (693228244419872) is greater than itself. Its abundance is 264546389431744
Bases of 428681854988128
- Binary: 11000010111100010010001011011000000101111011000002
- Hexadecimal: 0x185E245B02F60
- Base-36: 47YDQ4809S
Squares and roots of 428681854988128
- 428681854988128 squared (4286818549881282) is 183768132796062403035020944384
- 428681854988128 cubed (4286818549881283) is 78778064054720672356255555553553183668273152
-
The
square root of 428681854988128 is 20704633.6598387561 -
The
cube root of 428681854988128 is 75401.2190012829
Scales and comparisons
How big is 428681854988128?- 428,681,854,988,128 seconds is equal to 13,630,756 years, 51 weeks, 2 days, 20 hours, 15 minutes, 28 seconds.
-
To count from 1 to 428,681,854,988,128 would take you about thirty-four million, seventy-six thousand, eight hundred ninety-two 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 428681854988128 cubic inches would be around 6283.4 feet tall.
Recreational maths with 428681854988128
- 428681854988128 backwards is 821889458186824
- The number of decimal digits it has is: 15
- The sum of 428681854988128's digits is 82
- More coming soon!
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The information we have on file for 428681854988128 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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