42417410641920
42,417,410,641,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 42417410641920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1092 divisors.
42417410641920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and ninety-two divisors.
Prime factorization of 42417410641920:
212 × 36 × 5 × 29 × 3132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 313 × 313)See below for interesting mathematical facts about the number 42417410641920 from the Numbermatics database.
Names of 42417410641920
- Cardinal: 42417410641920 can be written as Forty-two trillion, four hundred seventeen billion, four hundred ten million, six hundred forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.241741064192 × 1013
Factors of 42417410641920
Divisors of 42417410641920
- Number of divisors d(n): 1092
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 64 72 80 81 87 90 96 108 116 120 128 135 144 145 160 162 174 180 192 216 232 240 243 256 261 270 288 290 313 320 324 348 360 384 405 432 435 464 480 486 512 522 540 576 580 626 640 648 696 720 729 768 783 810 864 870 928 939 960 972 1024 1044 1080 1152 1160 1215 1252 1280 1296 1305 1392 1440 1458 1536 1565 1566 1620 1728 1740 1856 1878 1920 1944 2048 2088 2160 2304 2320 2349 2430 2504 2560 2592 2610 2784 2817 2880 2916 3072 3130 3132 3240 3456 3480 3645 3712 3756 3840 3888 3915 4096 4176 4320 4608 4640 4695 4698 4860 5008 5120 5184 5220 5568 5634 5760 5832 6144 6260 6264 6480 6912 6960 7047 7290 7424 7512 7680 7776 7830 8352 8451 8640 9077 9216 9280 9390 9396 9720 10016 10240 10368 10440 11136 11268 11520 11664 11745 12288 12520 12528 12960 13824 13920 14085 14094 14580 14848 15024 15360 15552 15660 16704 16902 17280 18154 18432 18560 18780 18792 19440 20032 20480 20736 20880 21141 22272 22536 23040 23328 23490 25040 25056 25353 25920 27231 27648 27840 28170 28188 29160 29696 30048 30720 31104 31320 33408 33804 34560 35235 36308 36864 37120 37560 37584 38880 40064 41472 41760 42255 42282 44544 45072 45385 46080 46656 46980 50080 50112 50706 51840 54462 55296 55680 56340 56376 58320 59392 60096 61440 62208 62640 66816 67608 69120 70470 72616 74240 75120 75168 76059 77760 80128 81693 82944 83520 84510 84564 89088 90144 90770 92160 93312 93960 97969 100160 100224 101412 103680 105705 108924 110592 111360 112680 112752 116640 118784 120192 124416 125280 126765 133632 135216 136155 138240 140940 145232 148480 150240 150336 152118 155520 160256 163386 165888 167040 169020 169128 178176 180288 181540 184320 186624 187920 195938 200320 200448 202824 207360 211410 217848 222720 225360 225504 228177 233280 240384 245079 248832 250560 253530 267264 270432 272310 276480 281880 290464 293907 296960 300480 300672 304236 311040 320512 326772 331776 334080 338040 338256 356352 360576 363080 373248 375840 380295 391876 400640 400896 405648 408465 414720 422820 435696 445440 450720 451008 456354 466560 480768 489845 490158 497664 501120 507060 534528 540864 544620 552960 563760 580928 587814 593920 600960 601344 608472 622080 641024 653544 668160 676080 676512 721152 726160 735237 746496 751680 760590 783752 801280 801792 811296 816930 829440 845640 871392 881721 890880 901440 902016 912708 933120 961536 979690 980316 995328 1002240 1014120 1069056 1081728 1089240 1127520 1140885 1161856 1175628 1201920 1202688 1216944 1225395 1244160 1282048 1307088 1336320 1352160 1353024 1442304 1452320 1469535 1470474 1492992 1503360 1521180 1567504 1602560 1603584 1622592 1633860 1658880 1691280 1742784 1763442 1781760 1802880 1804032 1825416 1866240 1923072 1959380 1960632 2004480 2028240 2163456 2178480 2205711 2255040 2281770 2323712 2351256 2403840 2405376 2433888 2450790 2488320 2614176 2645163 2672640 2704320 2706048 2841101 2884608 2904640 2939070 2940948 2985984 3006720 3042360 3135008 3205120 3207168 3245184 3267720 3382560 3485568 3526884 3605760 3608064 3650832 3676185 3732480 3846144 3918760 3921264 4008960 4056480 4326912 4356960 4408605 4411422 4510080 4563540 4647424 4702512 4807680 4810752 4867776 4901580 4976640 5228352 5290326 5345280 5408640 5412096 5682202 5769216 5809280 5878140 5881896 6013440 6084720 6270016 6410240 6490368 6535440 6617133 6765120 6971136 7053768 7211520 7216128 7301664 7352370 7464960 7837520 7842528 7935489 8017920 8112960 8523303 8653824 8713920 8817210 8822844 9020160 9127080 9294848 9405024 9615360 9621504 9735552 9803160 10456704 10580652 10817280 10824192 11028555 11364404 11538432 11618560 11756280 11763792 12026880 12169440 12540032 12980736 13070880 13225815 13234266 13530240 13942272 14107536 14205505 14423040 14432256 14603328 14704740 14929920 15675040 15685056 15870978 16035840 16225920 17046606 17307648 17427840 17634420 17645688 18040320 18254160 18589696 18810048 19230720 19471104 19606320 20913408 21161304 21634560 21648384 22057110 22728808 23237120 23512560 23527584 23806467 24053760 24338880 25080064 25569909 25961472 26141760 26451630 26468532 27060480 27884544 28215072 28411010 28846080 28864512 29206656 29409480 31350080 31370112 31741956 32451840 33085665 34093212 34615296 34855680 35268840 35291376 36080640 36508320 37179392 37620096 38942208 39212640 39677445 41826816 42322608 42616515 43269120 43296768 44114220 45457616 46474240 47025120 47055168 47612934 48107520 48677760 50160128 51139818 51922944 52283520 52903260 52937064 54120960 55769088 56430144 56822020 57692160 58413312 58818960 62700160 62740224 63483912 64903680 66171330 68186424 69711360 70537680 70582752 71419401 72161280 73016640 75240192 76709727 77884416 78425280 79354890 83653632 84645216 85233030 86538240 86593536 88228440 90915232 92948480 94050240 94110336 95225868 97355520 100320256 102279636 103845888 104567040 105806520 105874128 108241920 111538176 112860288 113644040 116826624 117637920 119032335 125400320 125480448 126967824 127849545 129807360 132342660 136372848 139422720 141075360 141165504 142838802 144322560 146033280 150480384 153419454 155768832 156850560 158709780 167307264 169290432 170466060 173076480 176456880 181830464 185896960 188100480 188220672 190451736 194711040 200640512 204559272 209134080 211613040 211748256 216483840 225720576 227288080 230129181 233653248 235275840 238064670 250800640 250960896 253935648 255699090 259614720 264685320 272745696 278845440 282150720 282331008 285677604 292066560 300960768 306838908 311537664 313701120 317419560 334614528 338580864 340932120 352913760 357097005 363660928 376200960 376441344 380903472 383548635 389422080 401281024 409118544 418268160 423226080 423496512 432967680 451441152 454576160 460258362 467306496 470551680 476129340 501601280 501921792 507871296 511398180 519229440 529370640 545491392 557690880 564301440 564662016 571355208 584133120 601921536 613677816 627402240 634839120 677161728 681864240 690387543 705827520 714194010 727321856 752401920 752882688 761806944 767097270 778844160 818237088 836536320 846452160 846993024 902882304 909152320 920516724 934612992 941103360 952258680 1003202560 1003843584 1015742592 1022796360 1058741280 1090982784 1128602880 1129324032 1142710416 1150645905 1168266240 1203843072 1227355632 1254804480 1269678240 1354323456 1363728480 1380775086 1411655040 1428388020 1454643712 1504803840 1505765376 1523613888 1534194540 1557688320 1636474176 1673072640 1692904320 1693986048 1805764608 1818304640 1841033448 1882206720 1904517360 2006405120 2031485184 2045592720 2071162629 2117482560 2181965568 2257205760 2258648064 2285420832 2301291810 2336532480 2454711264 2509608960 2539356480 2708646912 2727456960 2761550172 2823310080 2856776040 2909287424 3009607680 3011530752 3047227776 3068389080 3272948352 3385808640 3387972096 3451937715 3611529216 3636609280 3682066896 3764413440 3809034720 4062970368 4091185440 4142325258 4234965120 4363931136 4514411520 4517296128 4570841664 4602583620 4673064960 4909422528 5019217920 5078712960 5417293824 5454913920 5523100344 5646620160 5713552080 5818574848 6019215360 6094455552 6136778160 6545896704 6771617280 6775944192 6903875430 7273218560 7364133792 7528826880 7618069440 8125940736 8182370880 8284650516 8469930240 8727862272 9028823040 9034592256 9141683328 9205167240 9818845056 10157425920 10355813145 10834587648 10909827840 11046200688 11293240320 11427104160 11637149696 12188911104 12273556320 13091793408 13543234560 13551888384 13807750860 14546437120 14728267584 15057653760 15236138880 16251881472 16364741760 16569301032 16939860480 17455724544 18057646080 18283366656 18410334480 19637690112 20314851840 20711626290 21819655680 22092401376 22586480640 22854208320 24377822208 24547112640 26183586816 27086469120 27103776768 27615501720 29092874240 29456535168 30472277760 32503762944 32729483520 33138602064 33879720960 34911449088 36566733312 36820668960 39275380224 40629703680 41423252580 43639311360 44184802752 45172961280 45708416640 48755644416 49094225280 52367173632 54172938240 55231003440 58185748480 58913070336 60944555520 65458967040 66277204128 67759441920 73133466624 73641337920 78550760448 81259407360 82846505160 87278622720 88369605504 91416833280 97511288832 98188450560 104734347264 110462006880 117826140672 121889111040 130917934080 132554408256 135518883840 146266933248 147282675840 157101520896 162518814720 165693010320 174557245440 176739211008 182833666560 196376901120 220924013760 235652281344 243778222080 261835868160 265108816512 292533866496 294565351680 314203041792 331386020640 353478422016 365667333120 392753802240 441848027520 471304562688 487556444160 523671736320 530217633024 589130703360 662772041280 706956844032 731334666240 785507604480 883696055040 942609125376 1060435266048 1178261406720 1325544082560 1413913688064 1462669332480 1571015208960 1767392110080 2120870532096 2356522813440 2651088165120 2827827376128 3534784220160 4241741064192 4713045626880 5302176330240 7069568440320 8483482128384 10604352660480 14139136880640 21208705320960 42417410641920
- Sum of all divisors σ(n): 158382793067220
- Sum of proper divisors (its aliquot sum) s(n): 115965382425300
- 42417410641920 is an abundant number, because the sum of its proper divisors (115965382425300) is greater than itself. Its abundance is 73547971783380
Bases of 42417410641920
- Binary: 10011010010100000100101011000110010000000000002
- Hexadecimal: 0x269412B19000
- Base-36: F1AAF4000
Squares and roots of 42417410641920
- 42417410641920 squared (424174106419202) is 1799236725565268066461286400
- 42417410641920 cubed (424174106419203) is 76318963030325496209852511579052965888000
-
The
square root of 42417410641920 is 6512865.0102639161 -
The
cube root of 42417410641920 is 34875.0402789961
Scales and comparisons
How big is 42417410641920?- 42,417,410,641,920 seconds is equal to 1,348,742 years, 23 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 42,417,410,641,920 would take you about three million, three hundred seventy-one thousand, eight hundred fifty-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 42417410641920 cubic inches would be around 2906.3 feet tall.
Recreational maths with 42417410641920
- 42417410641920 backwards is 02914601471424
- 42417410641920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42417410641920's digits is 45
- More coming soon!
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The information we have on file for 42417410641920 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 42417410641920, math, Factors of 42417410641920, curriculum, school, college, exams, university, Prime factorization of 42417410641920, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred seventeen billion, four hundred ten million, six hundred forty-one thousand, nine hundred twenty.