420940401920640
420,940,401,920,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 420940401920640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
420940401920640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 420940401920640:
27 × 36 × 5 × 74 × 6132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 613 × 613)See below for interesting mathematical facts about the number 420940401920640 from the Numbermatics database.
Names of 420940401920640
- Cardinal: 420940401920640 can be written as Four hundred twenty trillion, nine hundred forty billion, four hundred one million, nine hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2094040192064 × 1014
Factors of 420940401920640
Divisors of 420940401920640
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 243 245 252 270 280 288 294 315 320 324 336 343 360 378 384 392 405 420 432 441 448 480 486 490 504 540 560 567 576 588 613 630 640 648 672 686 720 729 735 756 784 810 840 864 882 896 945 960 972 980 1008 1029 1080 1120 1134 1152 1176 1215 1226 1260 1296 1323 1344 1372 1440 1458 1470 1512 1568 1620 1680 1701 1715 1728 1764 1839 1890 1920 1944 1960 2016 2058 2160 2205 2240 2268 2352 2401 2430 2452 2520 2592 2646 2688 2744 2835 2880 2916 2940 3024 3065 3087 3136 3240 3360 3402 3430 3456 3528 3645 3678 3780 3888 3920 3969 4032 4116 4291 4320 4410 4480 4536 4704 4802 4860 4904 5040 5103 5145 5184 5292 5488 5517 5670 5760 5832 5880 6048 6130 6174 6272 6480 6615 6720 6804 6860 7056 7203 7290 7356 7560 7776 7840 7938 8064 8232 8505 8582 8640 8820 9072 9195 9261 9408 9604 9720 9808 10080 10206 10290 10368 10584 10976 11034 11340 11664 11760 11907 12005 12096 12260 12348 12873 12960 13230 13440 13608 13720 14112 14406 14580 14712 15120 15435 15552 15680 15876 16464 16551 17010 17164 17280 17640 18144 18390 18522 18816 19208 19440 19616 19845 20160 20412 20580 21168 21455 21609 21952 22068 22680 23328 23520 23814 24010 24192 24520 24696 25515 25746 25920 26460 27216 27440 27585 27783 28224 28812 29160 29424 30037 30240 30870 31104 31360 31752 32928 33102 34020 34328 35280 35721 36015 36288 36780 37044 38416 38619 38880 39232 39690 40320 40824 41160 42336 42910 43218 43904 44136 45360 46305 46656 47040 47628 48020 49040 49392 49653 51030 51492 51840 52920 54432 54880 55170 55566 56448 57624 58320 58848 59535 60074 60480 61740 63504 64365 64827 65856 66204 68040 68656 70560 71442 72030 72576 73560 74088 76832 77238 77760 78464 79380 81648 82320 82755 83349 84672 85820 86436 88272 90111 90720 92610 93312 94080 95256 96040 98080 98784 99306 102060 102984 105840 108045 108864 109760 110340 111132 115248 115857 116640 117696 119070 120148 120960 123480 127008 128730 129654 131712 132408 136080 137312 138915 141120 142884 144060 147120 148176 148959 150185 153664 154476 155520 158760 163296 164640 165510 166698 169344 171640 172872 176544 178605 180222 181440 185220 190512 192080 193095 194481 196160 197568 198612 204120 205968 210259 211680 216090 217728 219520 220680 222264 230496 231714 233280 235392 238140 240296 246960 248265 250047 254016 257460 259308 264816 270333 272160 274624 277830 282240 285768 288120 294240 296352 297918 300370 307328 308952 317520 324135 326592 329280 331020 333396 343280 345744 347571 353088 357210 360444 362880 370440 375769 381024 384160 386190 388962 392320 395136 397224 408240 411936 416745 420518 423360 432180 441360 444528 446877 450555 460992 463428 466560 476280 480592 493920 496530 500094 508032 514920 518616 529632 540666 544320 549248 555660 571536 576240 579285 583443 588480 592704 595836 600740 617904 630777 635040 648270 653184 658560 662040 666792 686560 691488 695142 706176 714420 720888 740880 744795 751538 762048 768320 772380 777924 794448 810999 816480 823872 833490 841036 846720 864360 882720 889056 893754 901110 921984 926856 952560 961184 972405 987840 993060 1000188 1029840 1037232 1042713 1051295 1059264 1081332 1088640 1111320 1127307 1143072 1152480 1158570 1166886 1176960 1185408 1191672 1201480 1235808 1250235 1261554 1270080 1296540 1324080 1333584 1351665 1373120 1382976 1390284 1428840 1441776 1471813 1481760 1489590 1503076 1524096 1536640 1544760 1555848 1588896 1621998 1632960 1647744 1666980 1682072 1728720 1737855 1750329 1765440 1778112 1787508 1802220 1853712 1878845 1892331 1905120 1922368 1944810 1975680 1986120 2000376 2059680 2074464 2085426 2102590 2118528 2162664 2222640 2234385 2254614 2286144 2304960 2317140 2333772 2383344 2402960 2432997 2471616 2500470 2523108 2540160 2593080 2630383 2648160 2667168 2703330 2746240 2765952 2780568 2857680 2883552 2917215 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4671354240 4768674120 4869966240 4904921952 4971423870 5050335360 5086585728 5113464552 5155550680 5302852128 5364758385 5413328214 5449913280 5478712020 5681627280 5722408944 5799994515 5843959488 5892057920 5965708644 6131152440 6186660816 6358232160 6391830690 6493288320 6539895936 6628565160 6817952736 6959993418 7007031360 7070469504 7153011180 7217770952 7304949360 7457135805 7575503040 7629878592 7670196828 7733326020 7954278192 8119992321 8174869920 8248881088 8477642880 8522440920 8583613416 8765939232 8838086880 8948562966 9022213690 9090603648 9279991224 9537348240 9587746035 9739932480 9809843904 9942847740 10226929104 10311101360 10439990127 10605704256 10729516770 10826656428 10899826560 10957424040 11363254560 11444817888 11599989030 11687918976 11784115840 11931417288 12262304880 12373321632 12716464320 12783661380 13257130320 13422844449 13533320535 13635905472 13919986836 14014062720 14306022360 14435541904 14609898720 14914271610 15151006080 15259757184 15340393656 15466652040 15908556384 16239984642 16349739840 16497762176 17044881840 17167226832 17399983545 17531878464 17676173760 17897125932 18044427380 18559982448 19074696480 19175492070 19479864960 19619687808 19885695480 20453858208 20622202720 20879980254 21211408512 21459033540 21653312856 21914848080 22371407415 22726509120 22889635776 23199978060 23862834576 24359976963 24524609760 24746643264 25432928640 25567322760 26514260640 26845688898 27066641070 27271810944 27839973672 28612044720 28871083808 29219797440 29828543220 30680787312 30933304080 31319970381 31817112768 32479969284 32699479680 34089763680 34334453664 34799967090 35063756928 35352347520 35794251864 36088854760 37119964896 38149392960 38350984140 39771390960 40599961605 40907716416 41244405440 41759960508 42918067080 43306625712 43829696160 44742814830 45453018240 45779271552 46399956120 47725669152 48719953926 49049219520 49493286528 51134645520 52199950635 53028521280 53691377796 54133282140 55679947344 57224089440 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259839754272 268456888980 278399736720 286354014912 288710838080 292319723556 306807873120 313199703810 318171127680 324799692840 334079684064 343344536640 346453005696 357942518640 365399654445 371199648960 375839644572 389759631408 409077164160 417599605080 429531022368 433066257120 438479585334 445439578752 469799555715 477256691520 487199539260 501119526096 519679508544 536913777960 556799473440 572708029824 577421676160 584639447112 613615746240 626399407620 649599385680 657719378001 668159368128 686689073280 715885037280 730799308890 742399297920 751679289144 779519262816 835199210160 859062044736 866132514240 876959170668 939599111430 954513383040 974399078520 1002239052192 1039359017088 1073827555920 1096198963335 1113598946880 1169278894224 1227231492480 1252798815240 1299198771360 1315438756002 1336318736256 1431770074560 1461598617780 1503358578288 1559038525632 1670398420320 1718124089472 1732265028480 1753918341336 1879198222860 1948798157040 2004478104384 2147655111840 2192397926670 2227197893760 2338557788448 2505597630480 2598397542720 2630877512004 2863540149120 2923197235560 3006717156576 3118077051264 3288596890005 3340796840640 3507836682672 3758396445720 3897596314080 4008956208768 4295310223680 4384795853340 4677115576896 5011195260960 5196795085440 5261755024008 5846394471120 6013434313152 6577193780010 6681593681280 7015673365344 7516792891440 7795192628160 8590620447360 8769591706680 9354231153792 10022390521920 10523510048016 11692788942240 12026868626304 13154387560020 14031346730688 15033585782880 15590385256320 17539183413360 20044781043840 21047020096032 23385577884480 26308775120040 28062693461376 30067171565760 35078366826720 42094040192064 46771155768960 52617550240080 60134343131520 70156733653440 84188080384128 105235100480160 140313467306880 210470200960320 420940401920640
- Sum of all divisors σ(n): 1763009697323070
- Sum of proper divisors (its aliquot sum) s(n): 1342069295402430
- 420940401920640 is an abundant number, because the sum of its proper divisors (1342069295402430) is greater than itself. Its abundance is 921128893481790
Bases of 420940401920640
- Binary: 10111111011010111110100110010000011001010100000002
- Hexadecimal: 0x17ED7D320CA80
- Base-36: 457LCMY000
Squares and roots of 420940401920640
- 420940401920640 squared (4209404019206402) is 177190821969109943400858009600
- 420940401920640 cubed (4209404019206403) is 74586775816325707525885852597651767558144000
-
The
square root of 420940401920640 is 20516832.1609511637 -
The
cube root of 420940401920640 is 74944.5754618089
Scales and comparisons
How big is 420940401920640?- 420,940,401,920,640 seconds is equal to 13,384,602 years, 37 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 420,940,401,920,640 would take you about thirty-three million, four hundred sixty-one thousand, five hundred six 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 420940401920640 cubic inches would be around 6245.4 feet tall.
Recreational maths with 420940401920640
- 420940401920640 backwards is 046029104049024
- 420940401920640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 420940401920640's digits is 45
- More coming soon!
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"Number 420940401920640 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 420940401920640 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/420940401920640/
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The information we have on file for 420940401920640 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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