642404231321614216
642,404,231,321,614,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 642404231321614216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
642404231321614216 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 642404231321614216:
23 × 75 × 134 × 193 × 293
(2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 19 × 19 × 19 × 29 × 29 × 29)See below for interesting mathematical facts about the number 642404231321614216 from the Numbermatics database.
Names of 642404231321614216
- Cardinal: 642404231321614216 can be written as Six hundred forty-two quadrillion, four hundred four trillion, two hundred thirty-one billion, three hundred twenty-one million, six hundred fourteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 6.42404231321614216 × 1017
Factors of 642404231321614216
Divisors of 642404231321614216
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 7 8 13 14 19 26 28 29 38 49 52 56 58 76 91 98 104 116 133 152 169 182 196 203 232 247 266 338 343 361 364 377 392 406 494 532 551 637 676 686 722 728 754 812 841 931 988 1064 1102 1183 1274 1352 1372 1421 1444 1508 1624 1682 1729 1862 1976 2197 2204 2366 2401 2527 2548 2639 2744 2842 2888 3016 3211 3364 3458 3724 3857 4394 4408 4459 4693 4732 4802 4901 5054 5096 5278 5684 5887 6422 6517 6728 6859 6916 7163 7448 7714 8281 8788 8918 9386 9464 9604 9802 9947 10108 10469 10556 10933 11368 11774 12103 12844 13034 13718 13832 14326 15379 15428 15979 16562 16807 17576 17689 17836 18473 18772 19208 19604 19894 20216 20938 21112 21866 22477 23548 24206 24389 25688 26068 26999 27436 28561 28652 30758 30856 31213 31958 32851 33124 33614 34307 35378 35672 36946 37544 39208 39788 41209 41743 41876 43732 44954 45619 47096 48013 48412 48778 50141 52136 53998 54872 57122 57304 57967 61009 61516 62426 63713 63916 65702 66248 67228 68614 69629 70756 73283 73892 76531 79576 82418 83486 83752 84721 87464 89167 89908 91238 93119 96026 96824 97556 100282 107653 107996 111853 114244 115934 122018 123032 123823 124852 127426 127832 129311 131404 134456 136097 137228 139258 141512 142129 146566 147784 153062 157339 164836 166972 169442 170723 178334 179816 182476 186238 188993 192052 195112 198911 199927 200564 207727 215306 215992 218491 223706 228488 229957 231868 240149 244036 247646 249704 254852 258622 262808 272194 274456 278516 284258 288463 292201 293132 303601 306124 314678 317057 319333 329672 333944 336091 338884 341446 350987 356668 364952 372476 377986 384104 397822 399854 401128 405769 415454 427063 430612 436982 445991 447412 459914 463391 463736 480298 487403 488072 495292 509704 512981 517244 535717 542659 544388 557032 568516 576926 584402 586264 593047 607202 612248 624169 629356 634114 638666 651833 672182 677768 682892 701974 713336 744952 753571 755972 782971 793117 795644 799708 811538 828269 830908 854126 861224 866761 873964 891982 894824 905177 919828 926782 952679 960596 974806 990584 994903 1025962 1034488 1071434 1085318 1088776 1101373 1137032 1153852 1159171 1168804 1186094 1195061 1210547 1214404 1248338 1258712 1268228 1277332 1303666 1322951 1344364 1365784 1392377 1399489 1403948 1454089 1507142 1511944 1565942 1586234 1591288 1599416 1609699 1623076 1656538 1661816 1681043 1708252 1733522 1747928 1769261 1783964 1810354 1839656 1847677 1853564 1905358 1921192 1949612 1989806 2019241 2045407 2051924 2125207 2142868 2170636 2202746 2219399 2307704 2318342 2337608 2352637 2372188 2390122 2421094 2428808 2456909 2496676 2536456 2554664 2585843 2607332 2645902 2688728 2700451 2784754 2798978 2807896 2840383 2908178 2989441 3014284 3121937 3131884 3172468 3219398 3243737 3246152 3313076 3362086 3416504 3467044 3538522 3567928 3590867 3620708 3695354 3707128 3750019 3798613 3810716 3899224 3946813 3979612 4038482 4090814 4103848 4121741 4151329 4250414 4285736 4341272 4369183 4405492 4438798 4562831 4636684 4705274 4744376 4780244 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741154979656 745920029309 752118810716 773135210302 775598545064 791588602532 803298493102 807401590814 809974103848 820470019096 849772519778 852480033496 862343119183 900563312831 915139636684 940711314998 947823195137 955699842188 985534993352 1005853186676 1013073723844 1020732671686 1029215214664 1049254928267 1057974498308 1083226508728 1095759301819 1099250569508 1113495025916 1129966845826 1153262705413 1180048478882 1183808305624 1199148489448 1241975221214 1252296344936 1260347635729 1297021214398 1316207918753 1318014520472 1337511776692 1385280054431 1386311411576 1396792077044 1435822533418 1440397297976 1470093118988 1491840058618 1504237621432 1546270420604 1583177205064 1601494364197 1606596986204 1614803181628 1672474723829 1699545039556 1724686238366 1760243076683 1801126625662 1830279273368 1881422629996 1895646390274 1911399684376 1923688496639 1948616295353 2011706373352 2026147447688 2041465343372 2098509856534 2115948996616 2191518603638 2198501139016 2226990051832 2259933691652 2306525410826 2340645609211 2360096957764 2444386134827 2483950442428 2520695271458 2572662958229 2594042428796 2632415837506 2675023553384 2770560108862 2793584154088 2811544725857 2871645066836 2940186237976 2974203819223 2983680117236 3092540841208 3202988728394 3213193972408 3229606363256 3292489602493 3344949447658 3399090079112 3449372476732 3520486153366 3572564350901 3602253251324 3762845259992 3791292780548 3847376993278 3897232590706 4082930686744 4197019713068 4346913274249 4383037207276 4519867383304 4539574250393 4613050821652 4681291218422 4720193915528 4777802636711 4888772269654 4967900884856 5025378866963 5041390542916 5145325916458 5188084857592 5221440205163 5264831675012 5541120217724 5623089451714 5743290133672 5948407638446 5967360234472 6405977456788 6584979204986 6634762365959 6689898895316 6898744953464 7040972306732 7145128701802 7204506502648 7344784497869 7582585561096 7670315112733 7694753986556 7794465181412 8072838937891 8394039426136 8693826548498 8766074414552 9079148500786 9226101643304 9362582436844 9555605273422 9696960381017 9777544539308 10050757733926 10082781085832 10290651832916 10442880410326 10529663350024 11082240435448 11210460549379 11246178903428 11707323066803 11896815276892 12321701536781 12811954913576 13169958409972 13269524731918 13379797790632 13640314067471 14081944613464 14290257403604 14689568995738 15340630225466 15389507973112 15588930362824 16145677875782 16384519264477 17110702943789 17387653096996 18008640707603 18158297001572 18725164873688 19111210546844 19393920762034 19555089078616 20101515467852 20581303665832 20819426734561 20885760820652 22420921098758 22492357806856 23414646133606 23793630553784 24643403073562 25007950456307 26339916819944 26539049463836 27280628134942 28580514807208 29379137991476 30428392919743 30681260450932 31777019752751 32291355751564 32769038528954 33444618456977 34221405887578 34775306193992 36017281415206 36316594003144 36550081436141 38222421093688 38787841524068 40203030935704 41638853469122 41771521641304 44841842197516 46443336561713 46829292267212 49286806147124 50015900912614 53078098927672 54561256269884 56509872565237 58758275982952 60856785839486 61362520901864 63554039505502 64582711503128 65538077057908 66889236913954 67878722667119 68442811775156 72034562830412 73100162872282 77575683048136 83277706938244 86251910757467 89683684395032 92886673123426 93658584534424 95482198472297 98573612294248 100031801825228 109122512539768 113019745130474 121713571678972 126060484953221 127108079011004 131076154115816 133778473827908 135757445334238 136885623550312 144069125660824 145735987141927 146200325744564 166555413876488 172503821514934 185773346246852 190964396944594 200063603650456 212998750438201 222439138269257 226039490260948 234112329198839 243427143357944 252120969906442 254216158022008 267556947655816 271514890668476 291471974283854 292400651489128 325103355931991 345007643029868 371546692493704 381928793889188 395569107956659 425997500876402 444878276538514 452078980521896 468224658397678 475151058669833 504241939812884 543029781336952 582943948567708 603763375302269 650206711863982 690015286059736 763857587778376 791138215913318 851995001752804 882423394672547 889756553077028 936449316795356 950302117339666 1008483879625768 1165887897135416 1207526750604538 1300413423727964 1582276431826636 1638786304391873 1703990003505608 1764846789345094 1779513106154056 1872898633590712 1900604234679332 2415053501209076 2600826847455928 2768983755696613 3164552863653272 3277572608783746 3529693578690188 3801208469358664 4226343627115883 4830107002418152 5537967511393226 6176963762707829 6555145217567492 7059387157380376 8452687254231766 11075935022786452 11471504130743111 12353927525415658 13110290435134984 16905374508463532 22151870045572904 22943008261486222 24707855050831316 33810749016927064 45886016522972444 49415710101662632 80300528915201777 91772033045944888 160601057830403554 321202115660807108 642404231321614216
- Sum of all divisors σ(n): 1664296943210208000
- Sum of proper divisors (its aliquot sum) s(n): 1021892711888593784
- 642404231321614216 is an abundant number, because the sum of its proper divisors (1021892711888593784) is greater than itself. Its abundance is 379488480566979568
Bases of 642404231321614216
- Binary: 1000111010100100011100111110101010100010000111110111100010002
- Hexadecimal: 0x8EA473EAA21F788
- Base-36: 4VPDALQN5NYG
Squares and roots of 642404231321614216
- 642404231321614216 squared (6424042313216142162) is 412683196419914027319731495933294656
- 642404231321614216 cubed (6424042313216142163) is 265109431575481606479409759455345807179183285086429696
-
The
square root of 642404231321614216 is 801501236.0075399261 -
The
cube root of 642404231321614216 is 862851.6440857693
Scales and comparisons
How big is 642404231321614216?- 642,404,231,321,614,216 seconds is equal to 20,426,467,469 years, 14 weeks, 23 hours, 30 minutes, 16 seconds.
-
To count from 1 to 642,404,231,321,614,216 would take you about sixty-one billion, two hundred seventy-nine million, four hundred two thousand, four hundred seven 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 642404231321614216 cubic inches would be around 71904.3 feet tall.
Recreational maths with 642404231321614216
- 642404231321614216 backwards is 612416123132404246
- 642404231321614216 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 642404231321614216's digits is 52
- More coming soon!
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The information we have on file for 642404231321614216 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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