42987348679680
42,987,348,679,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42987348679680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
42987348679680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 42987348679680:
210 × 32 × 5 × 53 × 107 × 179 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 53 × 107 × 179 × 919)See below for interesting mathematical facts about the number 42987348679680 from the Numbermatics database.
Names of 42987348679680
- Cardinal: 42987348679680 can be written as Forty-two trillion, nine hundred eighty-seven billion, three hundred forty-eight million, six hundred seventy-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.298734867968 × 1013
Factors of 42987348679680
Divisors of 42987348679680
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 64 72 80 90 96 106 107 120 128 144 159 160 179 180 192 212 214 240 256 265 288 318 320 321 358 360 384 424 428 477 480 512 530 535 537 576 636 640 642 716 720 768 795 848 856 895 919 954 960 963 1024 1060 1070 1074 1152 1272 1280 1284 1432 1440 1536 1590 1605 1611 1696 1712 1790 1838 1908 1920 1926 2120 2140 2148 2304 2385 2544 2560 2568 2685 2757 2864 2880 3072 3180 3210 3222 3392 3424 3580 3676 3816 3840 3852 4240 4280 4296 4595 4608 4770 4815 5088 5120 5136 5370 5514 5671 5728 5760 6360 6420 6444 6784 6848 7160 7352 7632 7680 7704 8055 8271 8480 8560 8592 9190 9216 9487 9540 9630 10176 10272 10740 11028 11342 11456 11520 12720 12840 12888 13568 13696 13785 14320 14704 15264 15360 15408 16110 16542 16960 17013 17120 17184 18380 18974 19080 19153 19260 20352 20544 21480 22056 22684 22912 23040 25440 25680 25776 27136 27392 27570 28355 28461 28640 29408 30528 30816 32220 33084 33920 34026 34240 34368 36760 37948 38160 38306 38520 40704 41088 41355 42960 44112 45368 45824 46080 47435 48707 50880 51039 51360 51552 54272 54784 55140 56710 56922 57280 57459 58816 61056 61632 64440 66168 67840 68052 68480 68736 73520 75896 76320 76612 77040 81408 82176 82710 85065 85383 85920 88224 90736 91648 94870 95765 97414 98333 101760 102078 102720 103104 109568 110280 113420 113844 114560 114918 117632 122112 123264 128880 132336 135680 136104 136960 137472 142305 146121 147040 151792 152640 153224 154080 162816 164352 164501 165420 170130 170766 171840 172377 176448 181472 183296 189740 191530 194828 196666 203520 204156 205440 206208 220560 226840 227688 229120 229836 235264 243535 244224 246528 255195 257760 264672 271360 272208 273920 274944 284610 287295 292242 294080 294999 303584 305280 306448 308160 328704 329002 330840 340260 341532 343680 344754 352896 362944 379480 383060 389656 393332 407040 408312 410880 412416 426915 438363 441120 453680 455376 458240 459672 470528 487070 488448 491665 493056 493503 510390 515520 529344 544416 547840 549888 569220 574590 584484 588160 589998 607168 610560 612896 616320 658004 661680 680520 683064 687360 689508 705792 725888 730605 758960 766120 779312 786664 814080 816624 821760 822505 824832 853830 861885 876726 882240 884997 907360 910752 916480 919344 941056 974140 983330 986112 987006 1015109 1020780 1031040 1058688 1088832 1138440 1149180 1168968 1176320 1179996 1214336 1221120 1225792 1232640 1316008 1323360 1361040 1366128 1374720 1379016 1411584 1451776 1461210 1474995 1480509 1517920 1532240 1558624 1573328 1633248 1643520 1645010 1649664 1707660 1723770 1753452 1764480 1769994 1814720 1821504 1838688 1948280 1966660 1974012 2030218 2041560 2062080 2117376 2177664 2191815 2276880 2298360 2337936 2352640 2359992 2428672 2442240 2451584 2465280 2467515 2632016 2646720 2722080 2732256 2749440 2758032 2823168 2903552 2922420 2949990 2961018 3035840 3045327 3064480 3117248 3146656 3266496 3290020 3415320 3447540 3506904 3528960 3539988 3629440 3643008 3677376 3896560 3933320 3948024 4060436 4083120 4124160 4234752 4355328 4383630 4424985 4553760 4596720 4675872 4705280 4719984 4857344 4903168 4930560 4935030 5075545 5211649 5264032 5293440 5444160 5464512 5516064 5807104 5844840 5899980 5922036 6071680 6090654 6128960 6234496 6293312 6532992 6580040 6830640 6895080 7013808 7057920 7079976 7258880 7286016 7354752 7402545 7793120 7866640 7896048 8120872 8166240 8248320 8469504 8710656 8718553 8767260 8849970 9107520 9135981 9193440 9351744 9439968 9714688 9806336 9870060 10151090 10423298 10528064 10586880 10888320 10929024 11032128 11689680 11799960 11844072 12143360 12181308 12257920 12468992 12586624 13065984 13160080 13661280 13790160 14027616 14115840 14159952 14517760 14572032 14709504 14805090 15226635 15586240 15634947 15733280 15792096 16241744 16332480 17421312 17437106 17534520 17601607 17699940 18215040 18271962 18386880 18703488 18879936 19612672 19740120 20302180 20846596 21056128 21173760 21776640 21858048 22064256 23379360 23599920 23688144 24286720 24362616 24515840 24937984 25173248 26058245 26131968 26155659 26320160 27322560 27580320 28055232 28319904 29035520 29144064 29419008 29610180 30453270 31172480 31269894 31466560 31584192 32483488 32664960 34874212 35069040 35203214 35399880 36430080 36543924 36773760 37406976 37759872 39480240 40604360 41693192 42112256 42347520 43553280 43592765 43716096 44128512 45679905 46758720 46904841 47199840 47376288 48573440 48725232 49031680 49875968 50346496 52116490 52263936 52311318 52640320 52804821 54645120 55160640 56110464 56639808 58838016 59220360 60906540 62344960 62539788 62933120 63168384 64966976 65329920 69748424 70138080 70406428 70799760 72860160 73087848 73547520 74813952 75519744 78174735 78466977 78960480 81208720 83386384 84224512 87106560 87185530 87432192 88008035 88257024 91359810 93517440 93809682 94399680 94752576 97450464 98063360 100692992 104232980 104622636 105280640 105609642 109290240 110321280 112220928 113279616 118440720 121813080 124689920 125079576 125866240 126336768 129933952 130659840 130778295 139496848 140276160 140812856 141599520 145720320 146175696 147095040 149627904 151039488 156349470 156933954 157920960 158414463 162417440 166772768 168449024 174371060 176016070 176514048 182719620 187034880 187619364 188799360 189505152 194900928 208465960 209245272 210561280 211219284 218580480 220642560 224441856 226559232 234524205 236881440 243626160 249379840 250159152 251732480 252673536 259867904 261319680 261556590 264024105 278993696 280552320 281625712 283199040 292351392 294190080 302078976 312698940 313867908 315841920 316828926 324834880 333545536 348742120 352032140 365439240 374069760 375238728 377598720 379010304 389801856 392334885 416931920 418490544 421122560 422438568 437160960 441285120 448883712 453118464 469048410 473762880 487252320 500318304 503464960 505347072 519735808 523113180 528048210 557987392 561104640 563251424 566398080 584702784 625397880 627735816 631683840 633657852 649669760 667091072 697484240 704064280 730878480 748139520 750477456 755197440 758020608 779603712 784669770 792072315 833863840 836981088 842245120 844877136 882570240 906236928 932885171 938096820 947525760 974504640 1000636608 1039471616 1046226360 1056096420 1115974784 1122209280 1126502848 1132796160 1169405568 1250795760 1255471632 1263367680 1267315704 1299339520 1334182144 1394968480 1408128560 1461756960 1500954912 1510394880 1516041216 1559207424 1569339540 1584144630 1667727680 1673962176 1689754272 1865770342 1876193640 1895051520 1949009280 2001273216 2092452720 2112192840 2231949568 2244418560 2253005696 2265592320 2338811136 2501591520 2510943264 2526735360 2534631408 2598679040 2668364288 2789936960 2798655513 2816257120 2923513920 3001909824 3118414848 3138679080 3168289260 3335455360 3347924352 3379508544 3731540684 3752387280 3790103040 3898018560 4002546432 4184905440 4224385680 4463899136 4506011392 4531184640 4664425855 4677622272 5003183040 5021886528 5069262816 5197358080 5336728576 5579873920 5597311026 5632514240 5847027840 6003819648 6277358160 6336578520 6670910720 6695848704 6759017088 7463081368 7504774560 7580206080 7796037120 8005092864 8369810880 8395966539 8448771360 8927798272 9012022784 9328851710 9355244544 10006366080 10043773056 10138525632 11159747840 11194622052 11265028480 11694055680 12007639296 12554716320 12673157040 13341821440 13391697408 13518034176 13993277565 14926162736 15009549120 15592074240 16010185728 16739621760 16791933078 16897542720 18024045568 18657703420 20012732160 20087546112 20277051264 22319495680 22389244104 22530056960 23388111360 24015278592 25109432640 25346314080 26683642880 26783394816 27036068352 27986555130 29852325472 30019098240 33479243520 33583866156 33795085440 37315406840 40025464320 40175092224 40554102528 41979832695 44638991360 44778488208 45060113920 46776222720 48030557184 50218865280 50692628160 54072136704 55973110260 59704650944 60038196480 66958487040 67167732312 67590170880 74630813680 80050928640 80350184448 81108205056 83959665390 89556976416 90120227840 100437730560 101385256320 111946220520 119409301888 120076392960 133916974080 134335464624 135180341760 149261627360 162216410112 167919330780 179113952832 200875461120 202770512640 223892441040 238818603776 240152785920 268670929248 270360683520 298523254720 335838661560 358227905664 401750922240 405541025280 447784882080 477637207552 537341858496 597046509440 671677323120 716455811328 811082050560 895569764160 955274415104 1074683716992 1194093018880 1343354646240 1432911622656 1791139528320 2149367433984 2388186037760 2686709292480 2865823245312 3582279056640 4298734867968 4776372075520 5373418584960 7164558113280 8597469735936 10746837169920 14329116226560 21493674339840 42987348679680
- Sum of all divisors σ(n): 154202101747200
- Sum of proper divisors (its aliquot sum) s(n): 111214753067520
- 42987348679680 is an abundant number, because the sum of its proper divisors (111214753067520) is greater than itself. Its abundance is 68227404387840
Bases of 42987348679680
- Binary: 10011100011000110001011010010111011100000000002
- Hexadecimal: 0x2718C5A5DC00
- Base-36: F8K45I4G0
Squares and roots of 42987348679680
- 42987348679680 squared (429873486796802) is 1847912146508385839244902400
- 42987348679680 cubed (429873486796803) is 79436843771371894728712363912810463232000
-
The
square root of 42987348679680 is 6556473.7992063997 -
The
cube root of 42987348679680 is 35030.5444055263
Scales and comparisons
How big is 42987348679680?- 42,987,348,679,680 seconds is equal to 1,366,864 years, 37 weeks, 2 days, 20 hours, 48 minutes.
-
To count from 1 to 42,987,348,679,680 would take you about three million, four hundred seventeen thousand, one hundred sixty-one 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 42987348679680 cubic inches would be around 2919.2 feet tall.
Recreational maths with 42987348679680
- 42987348679680 backwards is 08697684378924
- The number of decimal digits it has is: 14
- The sum of 42987348679680's digits is 81
- 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 42987348679680 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 42987348679680 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42987348679680/
Chicago style:
Numbermatics. 2024. "Number 42987348679680 - Facts about the integer". https://numbermatics.com/n/42987348679680/
The information we have on file for 42987348679680 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 42987348679680, math, Factors of 42987348679680, curriculum, school, college, exams, university, Prime factorization of 42987348679680, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, nine hundred eighty-seven billion, three hundred forty-eight million, six hundred seventy-nine thousand, six hundred eighty.