642009427920
642,009,427,920 is an even composite number composed of seven prime numbers multiplied together.
642009427920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 642009427920:
24 × 34 × 5 × 7 × 37 × 61 × 6271
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 37 × 61 × 6271)See below for interesting mathematical facts about the number 642009427920 from the Numbermatics database.
Names of 642009427920
- Cardinal: 642009427920 can be written as Six hundred forty-two billion, nine million, four hundred twenty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.4200942792 × 1011
Factors of 642009427920
Divisors of 642009427920
- Number of divisors d(n): 800
-
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 35 36 37 40 42 45 48 54 56 60 61 63 70 72 74 80 81 84 90 105 108 111 112 120 122 126 135 140 144 148 162 168 180 183 185 189 210 216 222 240 244 252 259 270 280 296 305 315 324 333 336 360 366 370 378 405 420 427 432 444 488 504 518 540 549 555 560 567 592 610 630 648 666 720 732 740 756 777 810 840 854 888 915 945 976 999 1008 1036 1080 1098 1110 1134 1220 1260 1281 1295 1296 1332 1464 1480 1512 1554 1620 1647 1665 1680 1708 1776 1830 1890 1998 2072 2135 2160 2196 2220 2257 2268 2331 2440 2520 2562 2590 2664 2745 2835 2928 2960 2997 3024 3108 3240 3294 3330 3416 3660 3780 3843 3885 3996 4144 4270 4392 4440 4514 4536 4662 4880 4941 4995 5040 5124 5180 5328 5490 5670 5994 6216 6271 6405 6480 6588 6660 6771 6832 6993 7320 7560 7686 7770 7992 8235 8540 8784 8880 9028 9072 9324 9882 9990 10248 10360 10980 11285 11340 11529 11655 11988 12432 12542 12810 13176 13320 13542 13986 14640 14985 15120 15372 15540 15799 15984 16470 17080 18056 18648 18813 19215 19764 19980 20313 20496 20720 20979 21960 22570 22680 23058 23310 23976 24705 25084 25620 26352 26640 27084 27972 29970 30744 31080 31355 31598 32940 33855 34160 34587 34965 36112 37296 37626 38430 39528 39960 40626 41958 43897 43920 45140 45360 46116 46620 47397 47952 49410 50168 51240 54168 55944 56439 57645 59940 60939 61488 62160 62710 63196 65880 67710 69174 69930 75252 76860 78995 79056 79920 81252 83916 87794 90280 92232 93240 94065 94794 98820 100336 101565 102480 104895 108336 111888 112878 115290 119880 121878 125420 126392 131691 131760 135420 138348 139860 142191 150504 153720 157990 162504 167832 169317 172935 175588 180560 182817 184464 186480 188130 189588 197640 203130 209790 219485 225756 230580 232027 236985 239760 243756 250840 252784 263382 270840 276696 279720 282195 284382 301008 304695 307440 315980 325008 335664 338634 345870 351176 365634 376260 379176 382531 395073 395280 406260 419580 426573 438970 451512 461160 464054 473970 487512 501680 507951 526764 541680 553392 559440 564390 568764 609390 631960 658455 677268 691740 696081 702352 710955 731268 752520 758352 765062 790146 812520 839160 846585 853146 877940 903024 914085 922320 928108 947940 975024 1015902 1053528 1128780 1137528 1147593 1160135 1185219 1218780 1263920 1279719 1316910 1354536 1383480 1392162 1421910 1462536 1505040 1530124 1580292 1624189 1625040 1678320 1693170 1706292 1755880 1828170 1856216 1895880 1912655 1975365 2031804 2088243 2107056 2132865 2257560 2275056 2295186 2320270 2370438 2437560 2539755 2559438 2633820 2677717 2709072 2766960 2784324 2843820 2925072 3060248 3160584 3248378 3386340 3412584 3442779 3480405 3511760 3555657 3656340 3712432 3791760 3825310 3950730 4063608 4176486 4265730 4515120 4590372 4640540 4740876 4872567 4875120 5079510 5118876 5267640 5355434 5568648 5687640 5737965 5926095 6120496 6264729 6321168 6398595 6496756 6772680 6825168 6885558 6960810 7111314 7312680 7650620 7901460 8033151 8120945 8127216 8352972 8531460 9180744 9281080 9481752 9745134 10159020 10237752 10328337 10441215 10535280 10710868 11137296 11375280 11475930 11852190 12529458 12797190 12993512 13388585 13545360 13771116 13921620 14153647 14222628 14617701 14625360 15301240 15802920 16066302 16241890 16705944 17062920 17213895 17778285 18361488 18562160 18794187 18963504 19490268 20318040 20475504 20656674 20882430 21421736 22951860 23704380 24099453 24362835 25058916 25594380 25987024 26777170 27542232 27843240 28307294 28445256 29235402 30602480 30985011 31323645 31605840 32132604 32483780 33411888 34125840 34427790 35556570 37588374 38980536 40165755 40636080 41313348 41764860 42460941 42843472 43853103 45903720 47408760 48198906 48725670 50117832 51188760 51641685 53554340 55084464 55686480 56614588 56890512 58470804 61970022 62647290 64265208 64967560 68855580 70768235 71113140 72298359 73088505 75176748 77961072 80331510 82626696 83529720 84921882 87706206 91807440 93970935 94817520 96397812 97451340 99075529 100235664 102377520 103283370 107108680 113229176 116941608 120497265 123940044 125294580 127382823 128530416 129935120 131559309 137711160 141536470 142226280 144596718 146177010 150353496 154925055 160663020 165253392 167059440 169843764 175412412 187941870 192795624 194902680 198151058 206566740 212304705 214217360 216895077 219265515 226458352 233883216 240994530 247880088 250589160 254765646 263118618 275422320 283072940 284452560 289193436 292354020 297226587 300706992 309850110 321326040 339687528 350824824 361491795 375883740 382148469 385591248 389805360 396302116 413133480 424609410 433790154 438531030 481989060 495377645 495760176 501178320 509531292 526237236 566145880 578386872 584708040 594453174 619700220 636914115 642652080 657796545 679375056 701649648 722983590 751767480 764296938 792604232 826266960 849218820 867580308 877062060 891679761 963978120 990755290 1019062584 1052474472 1084475385 1132291760 1146445407 1156773744 1169416080 1188906348 1239400440 1273828230 1315593090 1445967180 1486132935 1503534960 1528593876 1585208464 1698437640 1735160616 1754124120 1783359522 1910742345 1927956240 1981510580 2038125168 2104948944 2168950770 2292890814 2377812696 2478800880 2547656460 2631186180 2675039283 2891934360 2972265870 3057187752 3396875280 3470321232 3508248240 3566719044 3821484690 3963021160 4337901540 4458398805 4585781628 4755625392 5095312920 5262372360 5350078566 5732227035 5783868720 5944531740 6114375504 7133438088 7642969380 7926042320 8025117849 8675803080 8916797610 9171563256 10190625840 10524744720 10700157132 11464454070 11889063480 13375196415 14266876176 15285938760 16050235698 17351606160 17833595220 18343126512 21400314264 22928908140 23778126960 26750392830 30571877520 32100471396 35667190440 40125589245 42800628528 45857816280 53500785660 64200942792 71334380880 80251178490 91715632560 107001571320 128401885584 160502356980 214003142640 321004713960 642009427920
- Sum of all divisors σ(n): 2660539047936
- Sum of proper divisors (its aliquot sum) s(n): 2018529620016
- 642009427920 is an abundant number, because the sum of its proper divisors (2018529620016) is greater than itself. Its abundance is 1376520192096
Bases of 642009427920
- Binary: 10010101011110101011111001101111110100002
- Hexadecimal: 0x957ABE6FD0
- Base-36: 86XNU500
Squares and roots of 642009427920
- 642009427920 squared (6420094279202) is 412176105538165675526400
- 642009427920 cubed (6420094279203) is 264620945718851289070884408857088000
-
The
square root of 642009427920 is 801254.9082033757 -
The
cube root of 642009427920 is 8626.7484648835
Scales and comparisons
How big is 642009427920?- 642,009,427,920 seconds is equal to 20,413 years, 47 weeks, 3 days, 16 hours, 12 minutes.
-
To count from 1 to 642,009,427,920 would take you about forty thousand, eight hundred twenty-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 642009427920 cubic inches would be around 718.9 feet tall.
Recreational maths with 642009427920
- 642009427920 backwards is 029724900246
- 642009427920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 642009427920's digits is 45
- More coming soon!
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