42984242457408
42,984,242,457,408 is an even composite number composed of seven prime numbers multiplied together.
42984242457408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 42984242457408:
26 × 36 × 7 × 29 × 31 × 281 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 29 × 31 × 281 × 521)See below for interesting mathematical facts about the number 42984242457408 from the Numbermatics database.
Names of 42984242457408
- Cardinal: 42984242457408 can be written as Forty-two trillion, nine hundred eighty-four billion, two hundred forty-two million, four hundred fifty-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.2984242457408 × 1013
Factors of 42984242457408
Divisors of 42984242457408
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 31 32 36 42 48 54 56 58 62 63 64 72 81 84 87 93 96 108 112 116 124 126 144 162 168 174 186 189 192 203 216 217 224 232 243 248 252 261 279 281 288 324 336 348 372 378 406 432 434 448 464 486 496 504 521 522 558 562 567 576 609 648 651 672 696 729 744 756 783 812 837 843 864 868 899 928 972 992 1008 1042 1044 1116 1124 1134 1218 1296 1302 1344 1392 1458 1488 1512 1563 1566 1624 1674 1686 1701 1728 1736 1798 1827 1856 1944 1953 1967 1984 2016 2084 2088 2232 2248 2268 2349 2436 2511 2529 2592 2604 2697 2784 2916 2976 3024 3126 3132 3248 3348 3372 3402 3472 3596 3647 3654 3888 3906 3934 4032 4168 4176 4464 4496 4536 4689 4698 4872 5022 5058 5103 5184 5208 5394 5481 5568 5832 5859 5901 5952 6048 6252 6264 6293 6496 6696 6744 6804 6944 7047 7192 7294 7308 7533 7587 7776 7812 7868 8091 8149 8336 8352 8711 8928 8992 9072 9378 9396 9744 10044 10116 10206 10416 10788 10941 10962 11664 11718 11802 12096 12504 12528 12586 12992 13392 13488 13608 13888 14067 14094 14384 14588 14616 15066 15109 15174 15552 15624 15736 16151 16182 16298 16443 16672 16704 17422 17577 17703 17856 17984 18144 18756 18792 18879 19488 20088 20232 20412 20832 21141 21576 21882 21924 22599 22761 23328 23436 23604 24273 24447 25008 25056 25172 26133 26784 26976 27216 28134 28188 28768 29176 29232 30132 30218 30348 31248 31472 32302 32364 32596 32823 32886 33344 34844 35154 35406 36288 37512 37584 37758 38976 40176 40464 40824 41664 42201 42282 43152 43764 43848 45198 45327 45522 46656 46872 47208 48453 48546 48894 49329 50016 50112 50344 52266 52731 53109 53568 53952 54432 56268 56376 56637 57043 57536 58352 58464 60264 60436 60696 60977 62496 62944 64604 64728 65192 65646 65772 68283 69688 70308 70812 72819 73341 75024 75168 75516 78399 80352 80928 81648 84402 84564 86304 87528 87696 90396 90654 91044 93744 94416 96906 97092 97788 98469 98658 100032 100688 104532 105462 105763 106218 108864 112536 112752 113057 113274 114086 116704 116928 120528 120872 121392 121954 124992 125888 126603 129208 129456 130384 131292 131544 135981 136566 139376 140616 141624 145359 145638 146401 146682 147987 150048 150336 151032 156798 158193 159327 160704 161856 163296 168804 169128 169911 171129 172608 175056 175392 180792 181308 182088 182931 187488 188832 193812 194184 195576 196938 197316 201376 204849 209064 210924 211526 212436 218457 220023 225072 225504 226114 226548 228172 233408 235197 241056 241744 242784 243908 252619 253206 258416 258912 260768 262584 263088 271962 273132 278752 281232 283248 290718 291276 292802 293364 295407 295974 300096 302064 313596 316386 317289 318654 326592 337608 338256 339171 339822 342258 350112 350784 361584 362616 364176 365862 374976 377664 379809 387624 388368 391152 393876 394632 402752 407943 409698 418128 421848 423052 424872 436077 436914 439203 440046 450144 451008 452228 453096 456344 468379 470394 477981 482112 483488 485568 487816 505238 506412 509733 513387 516832 517824 521536 525168 526176 543924 546264 548793 557504 562464 566496 581436 582552 585604 586728 590814 591948 604128 627192 632772 634578 637308 655371 660069 675216 676512 678342 679644 684516 700224 705591 723168 725232 728352 731724 757857 759618 775248 776736 782304 787752 789264 815886 819396 836256 843696 846104 849744 872154 873828 878406 880092 886221 900288 904456 906192 912688 936758 940788 951867 955962 966976 975632 1010476 1012824 1017513 1019466 1024807 1026774 1033664 1050336 1052352 1087848 1092528 1097586 1124928 1132992 1162872 1165104 1171208 1173456 1181628 1183896 1208256 1223829 1254384 1265544 1269156 1274616 1308231 1310742 1317609 1320138 1350432 1353024 1356684 1359288 1369032 1405137 1411182 1433943 1446336 1450464 1456704 1463448 1515714 1519236 1529199 1540161 1550496 1553472 1564608 1575504 1578528 1631772 1638792 1646379 1672512 1687392 1692208 1699488 1744308 1747656 1756812 1760184 1768333 1772442 1808912 1812384 1825376 1873516 1881576 1903734 1911924 1951264 1980207 2020952 2025648 2035026 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571842306 572939892 586087488 590288832 607019184 611370576 616809816 629501376 653534064 654788448 659348424 664074936 665349552 682896582 687791898 704925504 708189048 711235728 713265672 735225822 736637004 747084303 753541056 758942784 762456408 763919856 789686994 796712679 802423881 809358912 815160768 822413088 853810632 857763459 859409838 871378752 879131232 885433248 887132736 910528776 917055864 921301493 944252064 948314304 951020896 980301096 982182672 996112404 1016608544 1018559808 1031687847 1052915992 1062283572 1069898508 1102838733 1138414176 1143684612 1145879784 1184530491 1214038368 1222741152 1233619632 1289114757 1307068128 1309576896 1318696848 1328149872 1330699104 1365793164 1375583796 1416378096 1422471456 1426531344 1470451644 1473274008 1494168606 1524912816 1527839712 1579373988 1593425358 1604847762 1644826176 1707621264 1715526918 1718819676 1758262464 1770866496 1821057552 1834111728 1842602986 1888504128 1902041792 1960602192 1964365344 1992224808 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66028022208 66333707496 70581678912 74625420933 75809951424 76484417184 77032692576 82345292064 82503344448 85286195352 86661779148 88444943328 92638453572 95946969771 99042033312 99500561244 105872518368 113714927136 115549038864 123517938096 127929293028 132667414992 149250841866 152968834368 154065385152 164690584128 170572390704 173323558296 176889886656 185276907144 191893939542 198084066624 199001122488 211745036736 223876262799 227429854272 231098077728 247035876192 255858586056 265334829984 298501683732 341144781408 346647116592 370553814288 383787879084 398002244976 447752525598 462196155456 494071752384 511717172112 530669659968 597003367464 671628788397 682289562816 693294233184 741107628576 767575758168 796004489952 895505051196 1023434344224 1194006734928 1343257576794 1386588466368 1482215257152 1535151516336 1592008979904 1791010102392 2046868688448 2388013469856 2686515153588 3070303032672 3582020204784 4776026939712 5373030307176 6140606065344 7164040409568 10746060614352 14328080819136 21492121228704 42984242457408
- Sum of all divisors σ(n): 156929544529920
- Sum of proper divisors (its aliquot sum) s(n): 113945302072512
- 42984242457408 is an abundant number, because the sum of its proper divisors (113945302072512) is greater than itself. Its abundance is 70961059615104
Bases of 42984242457408
- Binary: 10011100011000000011001000000010101011010000002
- Hexadecimal: 0x27180C80AB40
- Base-36: F8IOS5000
Squares and roots of 42984242457408
- 42984242457408 squared (429842424574082) is 1847645099637236538694078464
- 42984242457408 cubed (429842424574083) is 79419624938048737325337723354545330061312
-
The
square root of 42984242457408 is 6556236.9128493213 -
The
cube root of 42984242457408 is 35029.7006279841
Scales and comparisons
How big is 42984242457408?- 42,984,242,457,408 seconds is equal to 1,366,765 years, 49 weeks, 3 days, 5 hours, 16 minutes, 48 seconds.
-
To count from 1 to 42,984,242,457,408 would take you about three million, four hundred sixteen thousand, nine hundred fourteen 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 42984242457408 cubic inches would be around 2919.1 feet tall.
Recreational maths with 42984242457408
- 42984242457408 backwards is 80475424248924
- 42984242457408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42984242457408's digits is 63
- More coming soon!
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"Number 42984242457408 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 42984242457408 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42984242457408/
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The information we have on file for 42984242457408 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 42984242457408, math, Factors of 42984242457408, curriculum, school, college, exams, university, Prime factorization of 42984242457408, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, nine hundred eighty-four billion, two hundred forty-two million, four hundred fifty-seven thousand, four hundred eight.