242427978240
242,427,978,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242427978240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
242427978240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 242427978240:
29 × 3 × 5 × 72 × 23 × 37 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 23 × 37 × 757)See below for interesting mathematical facts about the number 242427978240 from the Numbermatics database.
Names of 242427978240
- Cardinal: 242427978240 can be written as Two hundred forty-two billion, four hundred twenty-seven million, nine hundred seventy-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.4242797824 × 1011
Factors of 242427978240
Divisors of 242427978240
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 37 40 42 46 48 49 56 60 64 69 70 74 80 84 92 96 98 105 111 112 115 120 128 138 140 147 148 160 161 168 184 185 192 196 210 222 224 230 240 245 256 259 276 280 294 296 320 322 336 345 368 370 384 392 420 444 448 460 480 483 490 512 518 552 555 560 588 592 640 644 672 690 735 736 740 757 768 777 784 805 840 851 888 896 920 960 966 980 1036 1104 1110 1120 1127 1176 1184 1280 1288 1295 1344 1380 1470 1472 1480 1514 1536 1554 1568 1610 1680 1702 1776 1792 1813 1840 1920 1932 1960 2072 2208 2220 2240 2254 2271 2352 2368 2415 2553 2560 2576 2590 2688 2760 2940 2944 2960 3028 3108 3136 3220 3360 3381 3404 3552 3584 3626 3680 3785 3840 3864 3885 3920 4144 4255 4416 4440 4480 4508 4542 4704 4736 4830 5106 5152 5180 5299 5376 5439 5520 5635 5880 5888 5920 5957 6056 6216 6272 6440 6720 6762 6808 7104 7252 7360 7570 7680 7728 7770 7840 8288 8510 8832 8880 8960 9016 9065 9084 9408 9472 9660 10212 10304 10360 10598 10752 10878 11040 11270 11355 11760 11776 11840 11914 12112 12432 12544 12765 12880 13440 13524 13616 14208 14504 14720 15140 15456 15540 15680 15897 16576 16905 17020 17411 17664 17760 17871 17920 18032 18130 18168 18816 18944 19320 20424 20608 20720 21196 21756 22080 22540 22710 23520 23680 23828 24224 24864 25088 25530 25760 26495 26880 27048 27195 27232 28009 28416 29008 29440 29785 30280 30912 31080 31360 31794 33152 33810 34040 34822 35328 35520 35742 36064 36260 36336 37093 37632 38640 40848 41216 41440 41699 42392 43512 44160 45080 45420 47040 47360 47656 48448 49728 51060 51520 52233 52990 53760 54096 54390 54464 56018 56832 58016 58880 59570 60560 61824 62160 62720 63588 66304 67620 68080 69644 71040 71484 72128 72520 72672 74186 75264 77280 79485 81696 82432 82880 83398 84027 84784 87024 87055 88320 89355 90160 90840 94080 94720 95312 96896 99456 102120 103040 104466 105980 108192 108780 108928 111279 112036 116032 119140 121120 121877 123648 124320 125097 125440 127176 132608 135240 136160 139288 140045 142080 142968 144256 145040 145344 148372 154560 158970 163392 165760 166796 168054 169568 174048 174110 176640 178710 180320 181680 185465 188160 190624 193792 196063 198912 204240 206080 208495 208932 211960 216384 217560 217856 222558 224072 232064 238280 242240 243754 247296 248640 250194 254352 261165 270480 272320 278576 280090 284160 285936 288512 290080 290688 296744 309120 317940 326784 331520 333592 336108 339136 348096 348220 357420 360640 363360 365631 370930 376320 381248 387584 392126 397824 408480 412160 416990 417864 420135 423920 432768 435120 435712 445116 448144 464128 476560 484480 487508 497280 500388 508704 522330 540960 544640 556395 557152 560180 571872 577024 580160 581376 588189 593488 609385 618240 625485 635880 644207 653568 663040 667184 672216 678272 696192 696440 714840 721280 726720 731262 741860 762496 784252 816960 833980 835728 840270 847840 853139 865536 870240 890232 896288 928256 953120 968960 975016 980315 994560 1000776 1017408 1044660 1081920 1089280 1112790 1114304 1120360 1143744 1160320 1162752 1176378 1186976 1218770 1236480 1250970 1271760 1288414 1307136 1334368 1344432 1356544 1372441 1392384 1392880 1429680 1442560 1453440 1462524 1483720 1524992 1568504 1633920 1667960 1671456 1680540 1695680 1706278 1731072 1740480 1780464 1792576 1828155 1906240 1932621 1937920 1950032 1960630 1989120 2001552 2034816 2089320 2163840 2178560 2225580 2228608 2240720 2287488 2320640 2352756 2373952 2437540 2501940 2543520 2559417 2576828 2668736 2688864 2713088 2744882 2784768 2785760 2859360 2885120 2906880 2925048 2940945 2967440 3049984 3137008 3221035 3267840 3335920 3342912 3361080 3391360 3412556 3480960 3560928 3585152 3656310 3812480 3865242 3900064 3921260 4003104 4069632 4117323 4178640 4265695 4327680 4451160 4457216 4481440 4509449 4574976 4641280 4705512 4747904 4875080 5003880 5087040 5118834 5153656 5337472 5377728 5489764 5571520 5718720 5813760 5850096 5881890 5934880 6274016 6442070 6535680 6671840 6685824 6722160 6782720 6825112 6862205 6961920 7121856 7170304 7312620 7624960 7730484 7800128 7842520 8006208 8139264 8234646 8357280 8531390 8655360 8902320 8914432 8962880 9018898 9149952 9411024 9495808 9663105 9750160 10007760 10174080 10237668 10307312 10674944 10755456 10979528 11143040 11437440 11700192 11763780 11869760 12548032 12797085 12884140 13343680 13371648 13444320 13528347 13565440 13650224 13724410 13923840 14243712 14340608 14625240 15249920 15460968 15600256 15685040 16012416 16469292 16714560 17062780 17804640 17925760 18037796 18822048 18991616 19326210 19500320 20015520 20348160 20475336 20586615 20614624 21349888 21510912 21959056 22286080 22547245 22874880 23400384 23527560 23739520 25096064 25594170 25768280 26687360 26743296 26888640 27056694 27300448 27448820 28487424 29250480 30921936 31200512 31370080 31566143 32024832 32938584 33429120 34125560 35609280 35851520 36075592 37644096 38652420 39000640 40031040 40696320 40950672 41173230 41229248 43021824 43918112 44572160 45094490 45749760 46800768 47055120 47479040 50192128 51188340 51536560 53374720 53777280 54113388 54600896 54897640 56974848 58500960 61843872 62401024 62740160 63132286 64049664 65877168 66858240 67641735 68251120 71218560 71703040 72151184 75288192 77304840 78001280 80062080 81901344 82346460 82458496 87836224 90188980 93601536 94110240 94698429 94958080 100384256 102376680 103073120 106749440 107554560 108226776 109201792 109795280 117001920 123687744 125480320 126264572 131754336 133716480 135283470 136502240 142437120 144302368 150576384 154609680 156002560 157830715 160124160 163802688 164692920 164916992 175672448 180377960 187203072 188220480 189396858 204753360 206146240 215109120 216453552 218403584 219590560 234003840 247375488 250960640 252529144 263508672 270566940 273004480 284874240 288604736 301152768 309219360 312005120 315661430 320248320 327605376 329385840 329833984 351344896 360755920 376440960 378793716 409506720 412292480 432907104 436807168 439181120 468007680 473492145 494750976 501921280 505058288 527017344 541133880 546008960 577209472 618438720 631322860 655210752 658771680 702689792 721511840 752881920 757587432 819013440 824584960 865814208 878362240 936015360 946984290 989501952 1010116576 1054034688 1082267760 1092017920 1154418944 1236877440 1262645720 1310421504 1317543360 1443023680 1505763840 1515174864 1638026880 1649169920 1731628416 1756724480 1893968580 2020233152 2108069376 2164535520 2184035840 2308837888 2473754880 2525291440 2635086720 2886047360 3030349728 3276053760 3463256832 3513448960 3787937160 4040466304 4329071040 4947509760 5050582880 5270173440 5772094720 6060699456 6552107520 6926513664 7575874320 8080932608 8658142080 10101165760 10540346880 11544189440 12121398912 15151748640 16161865216 17316284160 20202331520 24242797824 30303497280 34632568320 40404663040 48485595648 60606994560 80809326080 121213989120 242427978240
- Sum of all divisors σ(n): 967443865344
- Sum of proper divisors (its aliquot sum) s(n): 725015887104
- 242427978240 is an abundant number, because the sum of its proper divisors (725015887104) is greater than itself. Its abundance is 482587908864
Bases of 242427978240
- Binary: 111000011100011101010101100010000000002
- Hexadecimal: 0x3871D56200
- Base-36: 33DBCX6O
Squares and roots of 242427978240
- 242427978240 squared (2424279782402) is 58771324633533913497600
- 242427978240 cubed (2424279782403) is 14247813409394335555698215092224000
-
The
square root of 242427978240 is 492369.7576415513 -
The
cube root of 242427978240 is 6235.3511067275
Scales and comparisons
How big is 242427978240?- 242,427,978,240 seconds is equal to 7,708 years, 23 weeks, 6 days, 9 hours, 4 minutes.
-
To count from 1 to 242,427,978,240 would take you about fifteen thousand, four hundred sixteen 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 242427978240 cubic inches would be around 519.6 feet tall.
Recreational maths with 242427978240
- 242427978240 backwards is 042879724242
- The number of decimal digits it has is: 12
- The sum of 242427978240's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242427978240 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 242427978240 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/242427978240/
Chicago style:
Numbermatics. 2024. "Number 242427978240 - Facts about the integer". https://numbermatics.com/n/242427978240/
The information we have on file for 242427978240 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 242427978240, math, Factors of 242427978240, curriculum, school, college, exams, university, Prime factorization of 242427978240, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two billion, four hundred twenty-seven million, nine hundred seventy-eight thousand, two hundred forty.