42131724979968
42,131,724,979,968 is an even composite number composed of seven prime numbers multiplied together.
42131724979968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42131724979968:
28 × 32 × 13 × 19 × 127 × 479 × 1217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 127 × 479 × 1217)See below for interesting mathematical facts about the number 42131724979968 from the Numbermatics database.
Names of 42131724979968
- Cardinal: 42131724979968 can be written as Forty-two trillion, one hundred thirty-one billion, seven hundred twenty-four million, nine hundred seventy-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2131724979968 × 1013
Factors of 42131724979968
Divisors of 42131724979968
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 64 72 76 78 96 104 114 117 127 128 144 152 156 171 192 208 228 234 247 254 256 288 304 312 342 381 384 416 456 468 479 494 508 576 608 624 684 741 762 768 832 912 936 958 988 1016 1143 1152 1216 1217 1248 1368 1437 1482 1524 1651 1664 1824 1872 1916 1976 2032 2223 2286 2304 2413 2432 2434 2496 2736 2874 2964 3048 3302 3328 3648 3651 3744 3832 3952 4064 4311 4446 4572 4826 4864 4868 4953 4992 5472 5748 5928 6096 6227 6604 7239 7296 7302 7488 7664 7904 8128 8622 8892 9101 9144 9652 9736 9906 9984 10944 10953 11496 11856 12192 12454 13208 14478 14592 14604 14859 14976 15328 15808 15821 16256 17244 17784 18202 18288 18681 19304 19472 19812 21717 21888 21906 22992 23123 23712 24384 24908 26416 27303 28956 29208 29718 29952 30656 31369 31616 31642 32512 34488 35568 36404 36576 37362 38608 38944 39624 43434 43776 43812 45984 46246 47424 47463 48768 49816 52832 54606 56043 57912 58416 59436 60833 61312 62738 63232 63284 68976 69369 71136 72808 73152 74724 77216 77888 79248 81909 86868 87624 91968 92492 94107 94848 94926 97536 99632 105664 109212 112086 115824 116832 118313 118872 121666 122624 125476 126568 137952 138738 142272 142389 145616 146304 149448 154432 154559 155776 158496 163818 173736 175248 182499 183936 184984 188214 189696 189852 199264 208107 211328 218424 224172 231648 233664 236626 237744 243332 250952 253136 275904 277476 282321 284544 284778 291232 292608 298896 300599 308864 309118 311552 316992 327636 347472 350496 354939 364998 367872 369968 376428 379704 398528 416214 422656 436848 448344 463296 463677 467328 473252 475488 486664 501904 506272 547497 551808 554952 564642 569088 569556 582464 582943 597792 601198 617728 618236 633984 655272 694944 700992 709878 729996 739936 752856 759408 790829 797056 832428 873696 896688 901797 926592 927354 934656 946504 950976 973328 1003808 1012544 1064817 1094994 1103616 1109904 1129284 1139112 1155827 1164928 1165886 1195584 1202396 1236472 1267968 1310544 1389888 1391031 1401984 1419756 1459992 1479872 1505712 1518816 1581658 1594112 1664856 1747392 1748829 1793376 1803594 1853184 1854708 1893008 1901952 1946656 2007616 2009267 2025088 2129634 2189988 2219808 2258568 2278224 2311654 2329856 2331772 2372487 2391168 2404792 2472944 2621088 2705391 2779776 2782062 2803968 2839512 2919984 2936621 2959744 3011424 3037632 3163316 3329712 3467481 3494784 3497658 3586752 3607188 3709416 3786016 3803904 3893312 4015232 4018534 4050176 4259268 4379976 4439616 4517136 4556448 4623308 4663544 4744974 4782336 4809584 4945888 5242176 5246487 5410782 5559552 5564124 5679024 5839968 5873242 5919488 6022848 6027801 6075264 6326632 6659424 6934962 6989568 6995316 7117461 7173504 7214376 7418832 7572032 7578259 7786624 8030464 8037068 8518536 8759952 8809863 8879232 9034272 9112896 9246616 9327088 9489948 9619168 9891776 10402443 10484352 10492974 10821564 11075917 11128248 11358048 11679936 11746484 12045696 12055602 12150528 12653264 13318848 13869924 13990632 14234922 14347008 14428752 14837664 15025751 15144064 15156518 15573248 16074136 17037072 17519904 17619726 17758464 18068544 18083403 18225792 18493232 18654176 18979896 19238336 19783552 20804886 20968704 20985948 21643128 22151834 22256496 22716096 22734777 23359872 23492968 24091392 24111204 25306528 26429589 26637696 27739848 27981264 28469844 28857504 29675328 30051502 30288128 30313036 32148272 33227751 34074144 35039808 35239452 36137088 36166806 36451584 36986464 37308352 37959792 38176073 38476672 39567104 41609772 41971896 43286256 44303668 44512992 45077253 45432192 45469554 46719744 46985936 48222408 50613056 52859178 53275392 55479696 55962528 56939688 57715008 59350656 60103004 60626072 64296544 66455502 68148288 68204331 70079616 70478904 72274176 72333612 73972928 74033761 74616704 75919584 76352146 76953344 83219544 83943792 86572512 88607336 89025984 90154506 90864384 90939108 93971872 96444816 99683253 101226112 105718356 110959392 111925056 113879376 114528219 115430016 118701312 120206008 121252144 128593088 132911004 135231759 136296576 136408662 140159232 140957808 143986921 144667224 147945856 148067522 149233408 151839168 152704292 166439088 167887584 173145024 177214672 178051968 180309012 181878216 187943744 192889632 199366506 202452224 211436712 221918784 222101283 223850112 227758752 229056438 230860032 240412016 242504288 257186176 265822008 270463518 272593152 272817324 281915616 287973842 289334448 295891712 296135044 303678336 305408584 332878176 335775168 343584657 346290048 354429344 356103936 360618024 363756432 375887488 385779264 398733012 422873424 431960763 443837568 444202566 447700224 455517504 458112876 480824032 485008576 514372352 531644016 540927036 545634648 563831232 575947684 578668896 592270088 607356672 610817168 665756352 666303849 671550336 687169314 692580096 708858688 721236048 727512864 751774976 771558528 797466024 845746848 863921526 887675136 888405132 911035008 916225752 961648064 962438893 970017152 1063288032 1081854072 1091269296 1127662464 1151895368 1157337792 1184540176 1221634336 1295882289 1331512704 1332607698 1343100672 1374338628 1406641459 1417717376 1442472096 1455025728 1543117056 1594932048 1691493696 1727843052 1776810264 1822070016 1832451504 1923296128 1924877786 1940034304 2126576064 2163708144 2182538592 2255324928 2303790736 2314675584 2369080352 2443268672 2591764578 2663025408 2665215396 2748677256 2813282918 2835434752 2884944192 2887316679 2910051456 3189864096 3382987392 3455686104 3553620528 3664903008 3846592256 3849755572 4219924377 4253152128 4327416288 4365077184 4607581472 4629351168 4738160704 4886537344 5183529156 5330430792 5497354512 5626565836 5769888384 5774633358 5820102912 6379728192 6765974784 6911372208 7107241056 7329806016 7699511144 8439848754 8506304256 8654832576 8661950037 8730154368 9215162944 9476321408 9773074688 10367058312 10660861584 10994709024 11253131672 11539776768 11549266716 12659773131 12759456384 13822744416 14214482112 14659612032 15399022288 16879697508 17309665152 17323900074 17460308736 18286338967 18430325888 18952642816 20734116624 21321723168 21989418048 22506263344 23098533432 25319546262 25518912768 27645488832 28428964224 29319224064 30798044576 33759395016 34619330304 34647800148 36572677934 36860651776 41468233248 42643446336 43978836096 45012526688 46197066864 50639092524 54859016901 55290977664 56857928448 61596089152 67518790032 69295600296 73145355868 82936466496 85286892672 87957672192 90025053376 92394133728 101278185048 109718033802 110581955328 123192178304 135037580064 138591200592 146290711736 164577050703 165872932992 170573785344 180050106752 184788267456 202556370096 219436067604 246384356608 270075160128 277182401184 292581423472 329154101406 331745865984 360100213504 369576534912 405112740192 438872135208 540150320256 554364802368 585162846944 658308202812 739153069824 810225480384 877744270416 1080300640512 1108729604736 1170325693888 1316616405624 1620450960768 1755488540832 2217459209472 2340651387776 2633232811248 3240901921536 3510977081664 4681302775552 5266465622496 7021954163328 10532931244992 14043908326656 21065862489984 42131724979968
- Sum of all divisors σ(n): 139194084556800
- Sum of proper divisors (its aliquot sum) s(n): 97062359576832
- 42131724979968 is an abundant number, because the sum of its proper divisors (97062359576832) is greater than itself. Its abundance is 54930634596864
Bases of 42131724979968
- Binary: 10011001010001100011101000000001001111000000002
- Hexadecimal: 0x26518E804F00
- Base-36: EXN1P8SG0
Squares and roots of 42131724979968
- 42131724979968 squared (421317249799682) is 1775082249787659570001281024
- 42131724979968 cubed (421317249799683) is 74787277164876533769165825244620738527232
-
The
square root of 42131724979968 is 6490895.5452978905 -
The
cube root of 42131724979968 is 34796.5681701793
Scales and comparisons
How big is 42131724979968?- 42,131,724,979,968 seconds is equal to 1,339,658 years, 27 weeks, 4 days, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,131,724,979,968 would take you about three million, three hundred forty-nine thousand, one hundred forty-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 42131724979968 cubic inches would be around 2899.7 feet tall.
Recreational maths with 42131724979968
- 42131724979968 backwards is 86997942713124
- 42131724979968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42131724979968's digits is 72
- More coming soon!
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The information we have on file for 42131724979968 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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