42135075298800
42,135,075,298,800 is an even composite number composed of six prime numbers multiplied together.
42135075298800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 42135075298800:
24 × 310 × 52 × 112 × 23 × 641
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 23 × 641)See below for interesting mathematical facts about the number 42135075298800 from the Numbermatics database.
Names of 42135075298800
- Cardinal: 42135075298800 can be written as Forty-two trillion, one hundred thirty-five billion, seventy-five million, two hundred ninety-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21350752988 × 1013
Factors of 42135075298800
Divisors of 42135075298800
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 33 36 40 44 45 46 48 50 54 55 60 66 69 72 75 80 81 88 90 92 99 100 108 110 115 120 121 132 135 138 144 150 162 165 176 180 184 198 200 207 216 220 225 230 240 242 243 253 264 270 275 276 297 300 324 330 345 360 363 368 396 400 405 414 432 440 450 460 484 486 495 506 528 540 550 552 575 594 600 605 621 641 648 660 675 690 720 726 729 759 792 810 825 828 880 891 900 920 968 972 990 1012 1035 1080 1089 1100 1104 1150 1188 1200 1210 1215 1242 1265 1282 1296 1320 1350 1380 1452 1458 1485 1518 1584 1620 1650 1656 1725 1782 1800 1815 1840 1863 1923 1936 1944 1980 2024 2025 2070 2160 2178 2187 2200 2277 2300 2376 2420 2430 2475 2484 2530 2564 2640 2673 2700 2760 2783 2904 2916 2970 3025 3036 3105 3205 3240 3267 3300 3312 3450 3564 3600 3630 3645 3726 3795 3846 3888 3960 4048 4050 4140 4356 4374 4400 4455 4554 4600 4752 4840 4860 4950 4968 5060 5128 5175 5346 5400 5445 5520 5566 5589 5769 5808 5832 5940 6050 6072 6075 6210 6325 6410 6480 6534 6561 6600 6831 6900 7051 7128 7260 7290 7425 7452 7590 7692 7920 8019 8100 8280 8349 8712 8748 8910 9075 9108 9200 9315 9615 9680 9720 9801 9900 9936 10120 10256 10350 10692 10800 10890 10935 11132 11178 11385 11538 11664 11880 12100 12144 12150 12420 12650 12820 13068 13122 13200 13365 13662 13800 13915 14102 14256 14520 14580 14743 14850 14904 15180 15384 15525 16025 16038 16200 16335 16560 16698 16767 17307 17424 17496 17820 18150 18216 18225 18630 18975 19230 19440 19602 19683 19800 20240 20493 20700 21153 21384 21780 21870 22264 22275 22356 22770 23076 23760 24057 24200 24300 24840 25047 25300 25640 26136 26244 26730 27225 27324 27600 27830 27945 28204 28845 29040 29160 29403 29486 29700 29808 30360 30768 31050 32050 32076 32400 32670 32805 33396 33534 34155 34614 34992 35255 35640 36300 36432 36450 37260 37950 38460 39204 39366 39600 40095 40986 41400 41745 42306 42768 43560 43740 44229 44528 44550 44712 45540 46152 46575 48075 48114 48400 48600 49005 49680 50094 50301 50600 51280 51921 52272 52488 53460 54450 54648 54675 55660 55890 56408 56925 57690 58320 58806 58972 59049 59400 60720 61479 62100 63459 64100 64152 65340 65610 66792 66825 67068 68310 69228 69575 70510 71280 72171 72600 72900 73715 74520 75141 75900 76920 77561 78408 78732 80190 81675 81972 82800 83490 83835 84612 86535 87120 87480 88209 88458 89100 89424 91080 92304 93150 96150 96228 97200 98010 98415 100188 100602 101200 102465 103842 104976 105765 106920 108900 109296 109350 111320 111780 112816 113850 115380 117612 117944 118098 118800 120285 122958 124200 125235 126918 128200 128304 130680 131220 132687 133584 133650 134136 136620 138456 139150 139725 141020 144225 144342 145200 145800 147015 147430 149040 150282 150903 151800 153840 155122 155763 156816 157464 160380 162173 163350 163944 164025 166980 167670 169224 170775 173070 174960 176275 176418 176916 178200 182160 184437 186300 190377 192300 192456 196020 196830 200376 200475 201204 204930 207684 208725 211530 213840 216513 217800 218700 221145 222640 223560 225423 227700 230760 232683 235224 235888 236196 240570 245025 245916 248400 250470 251505 253836 256400 259605 261360 262440 264627 265374 267300 268272 273240 276912 278300 279450 282040 288450 288684 291600 294030 294860 295245 300564 301806 303600 307395 310244 311526 314928 317295 320760 324346 326700 327888 328050 333960 335340 338448 341550 346140 352550 352836 353832 356400 360855 368575 368874 372600 375705 380754 384600 384912 387805 392040 393660 398061 400752 400950 402408 409860 415368 417450 419175 423060 432675 433026 435600 437400 441045 442290 447120 450846 452709 455400 461520 465366 467289 470448 472392 481140 486519 490050 491832 492075 500940 503010 507672 512325 519210 524880 528825 529254 530748 534600 546480 553311 556600 558900 564080 571131 576900 577368 588060 589720 590490 601128 601425 603612 614790 620488 623052 626175 634590 641520 648692 649539 653400 656100 663435 667920 670680 676269 683100 692280 698049 705100 705672 707664 721710 735075 737150 737748 745200 751410 754515 761508 769200 775610 778815 784080 787320 793881 796122 801900 804816 810865 819720 830736 834900 838350 846120 865350 866052 874800 882090 884580 901692 905418 910800 922185 930732 934578 944784 951885 962280 973038 980100 983664 984150 1001880 1006020 1015344 1024650 1038420 1057650 1058508 1061496 1069200 1082565 1105725 1106622 1113200 1117800 1127115 1142262 1153800 1154736 1163415 1176120 1179440 1180980 1194183 1202256 1202850 1207224 1229580 1240976 1246104 1252350 1257525 1269180 1297384 1298025 1299078 1306800 1312200 1323135 1326870 1341360 1352538 1358127 1366200 1384560 1396098 1401867 1410200 1411344 1443420 1459557 1470150 1474300 1475496 1476225 1502820 1509030 1523016 1536975 1551220 1557630 1574640 1586475 1587762 1592244 1603800 1621730 1639440 1659933 1669800 1676700 1692240 1713393 1730700 1732104 1764180 1769160 1783903 1803384 1804275 1810836 1844370 1861464 1869156 1878525 1903770 1924560 1939025 1946076 1960200 1968300 1990305 2003760 2012040 2028807 2049300 2076840 2094147 2115300 2117016 2122992 2165130 2205225 2211450 2213244 2235600 2254230 2263545 2284524 2307600 2326830 2336445 2352240 2361960 2381643 2388366 2405700 2414448 2432595 2459160 2492208 2504700 2515050 2538360 2594768 2596050 2598156 2624400 2646270 2653740 2705076 2716254 2732400 2766555 2792196 2803734 2820400 2855655 2886840 2919114 2940300 2948600 2950992 2952450 3005640 3018060 3046032 3073950 3102440 3115260 3172950 3175524 3184488 3207600 3243460 3247695 3317175 3319866 3339600 3353400 3381345 3426786 3461400 3464208 3490245 3528360 3538320 3567806 3582549 3606768 3608550 3621672 3688740 3722928 3738312 3757050 3772575 3807540 3878050 3892152 3894075 3920400 3936600 3969405 3980610 4024080 4054325 4057614 4098600 4153680 4188294 4205601 4230600 4234032 4330260 4378671 4410450 4422900 4426488 4508460 4527090 4569048 4610925 4653660 4672890 4723920 4759425 4763286 4776732 4811400 4865190 4918320 4979799 5009400 5030100 5076720 5140179 5192100 5196312 5292540 5307480 5351709 5410152 5412825 5432508 5533110 5584392 5607468 5635575 5711310 5773680 5817075 5838228 5880600 5897200 5904900 5970915 6011280 6036120 6086421 6147900 6204880 6230520 6282441 6345900 6351048 6368976 6486920 6495390 6615675 6634350 6639732 6706800 6762690 6790635 6853572 6922800 6980490 7009335 7056720 7135612 7144929 7165098 7217100 7243344 7297785 7377480 7476624 7514100 7545150 7615080 7756100 7784304 7788150 7873200 7938810 7961220 8108650 8115228 8197200 8299665 8376588 8411202 8461200 8566965 8660520 8757342 8820900 8845800 8852976 8919515 9016920 9054180 9138096 9221850 9307320 9345780 9518850 9526572 9553464 9622800 9730380 9951525 9959598 10018800 10060200 10144035 10280358 10384200 10392624 10470735 10585080 10614960 10703418 10747647 10820304 10825650 10865016 11066220 11168784 11214936 11271150 11317725 11422620 11634150 11676456 11682225 11761200 11809800 11908215 11941830 12072240 12162975 12172842 12295800 12461040 12564882 12616803 12691800 12702096 12973840 12990780 13136013 13231350 13268700 13279464 13525380 13581270 13707144 13832775 13960980 14018670 14271224 14278275 14289858 14330196 14434200 14595570 14754960 14939397 15028200 15090300 15230160 15420537 15512200 15576300 15877620 15922440 16055127 16217300 16230456 16238475 16599330 16753176 16822404 16906725 17133930 17321040 17451225 17514684 17641800 17691600 17839030 17912745 18033840 18108360 18259263 18443700 18614640 18691560 18847323 19037700 19053144 19106928 19460760 19847025 19903050 19919196 20120400 20288070 20560716 20768400 20941470 21028005 21170160 21406836 21495294 21651300 21730032 21893355 22132440 22429872 22542300 22635450 22845240 23268300 23352912 23364450 23619600 23816430 23883660 24325950 24345684 24591600 24898995 25129764 25233606 25383600 25700895 25981560 26272026 26462700 26537400 26558928 26758545 27050760 27162540 27414288 27665550 27921960 28037340 28542448 28556550 28579716 28660392 28868400 29191140 29854575 29878794 30056400 30180600 30432105 30841074 31024400 31152600 31412205 31755240 31844880 32110254 32242941 32434600 32460912 32476950 33198660 33506352 33644808 33813450 33953175 34267860 34902450 35029368 35046675 35283600 35678060 35724645 35825490 36216720 36488925 36518526 36887400 37383120 37694646 37850409 38075400 38106288 38921520 39408039 39694050 39806100 39838392 40576140 41121432 41498325 41882940 42056010 42813672 42834825 42990588 43302600 43786710 44264880 44597575 45084600 45270900 45690480 46261611 46536600 46728900 47632860 47767320 48165381 48651900 48691368 49797990 50259528 50467212 50720175 51401790 51963120 52353675 52544052 52925400 53074800 53517090 53738235 54101520 54325080 54777789 55331100 55843920 56074680 56541969 57113100 57159432 57320784 58382280 59541075 59709150 59757588 60361200 60864210 61682148 62305200 62824410 63084015 63510480 64220508 64485882 64869200 64953900 65680065 66397320 67289616 67626900 67906350 68535720 69804900 70058736 70093350 71356120 71449290 71650980 72977850 73037052 73774800 74696985 75389292 75700818 76150800 77102685 78816078 79388100 79612200 79676784 80275635 81152280 82242864 82996650 83765880 84112020 85627344 85669650 85981176 86605200 87573420 89195150 89563725 90169200 90541800 91296315 92523222 93073200 93457800 94236615 95265720 95534640 96330762 96728823 97303800 97382736 99595980 100519056 100934424 101440350 102803580 104707350 105088104 105140025 105850800 107034180 107476470 108650160 109466775 109555578 110662200 112149360 113083938 114226200 114318864 116764560 118224117 119082150 119418300 119515176 121728420 123364296 124494975 125648820 126168030 128441016 128504475 128971764 129907800 131360130 132794640 133792725 135253800 135812700 137071440 138784833 139609800 140186700 142712240 142898580 143301960 144496143 145955700 146074104 149393970 150778584 151401636 152160525 154205370 157061025 157632156 158776200 159224400 160551270 161214705 162304560 164333367 165993300 167531760 168224040 169625907 171339300 171962352 175146840 178390300 178623225 179127450 181083600 182592630 185046444 186915600 188473230 189252045 190531440 192661524 193457646 194607600 197040195 199191960 201868848 202880700 205607160 209414700 210176208 210280050 214068360 214952940 218933550 219111156 221324400 226167876 228452400 231308055 236448234 238164300 238836600 239030352 240826905 243456840 246728592 248989950 251297640 252336060 256882032 257008950 257943528 259815600 262720260 267585450 268691175 270507600 271625400 273888945 277569666 279219600 280373400 282709845 285797160 286603920 288992286 290186469 291911400 292148208 298787940 301557168 302803272 304321050 308410740 314122050 315264312 315420075 317552400 321102540 322429410 328400325 328666734 331986600 336448080 339251814 342678600 350293680 354672351 356780600 357246450 358254900 365185260 370092888 373484925 376946460 378504090 385323048 385513425 386915292 394080390 398383920 401378175 405761400 411214320 416354499 418829400 420560100 428136720 429905880 433488429 437867100 438222312 452335752 456481575 462616110 471183075 472896468 476328600 477673200 481653810 483644115 486913680 497979900 502595280 504672120 508877721 514017900 515887056 525440520 535170900 537382350 543250800 547777890 555139332 560746800 565419690 571594320 577984572 580372938 583822800 591120585 597575880 605606544 608642100 616821480 628244100 630528624 630840150 642205080 644858820 656800650 657333468 663973200 678503628 685357200 693924165 709344702 713561200 714492900 716509800 722480715 730370520 740185776 746969850 753892920 757008180 770646096 771026850 773830584 788160780 802756350 806073525 811522800 821666835 832708998 837658800 841120200 848129535 859811760 866976858 870559407 875734200 876444624 904671504 912963150 925232220 942366150 945792936 946260225 952657200 963307620 967288230 985200975 995959800 1009344240 1017755442 1028035800 1050881040 1064017053 1070341800 1074764700 1095555780 1110278664 1130839380 1155969144 1156540275 1160745876 1182241170 1195151760 1204134525 1217284200 1233642960 1256488200 1261680300 1284410160 1289717640 1300465287 1313601300 1314666936 1357007256 1369444725 1387848330 1413549225 1418689404 1428985800 1433019600 1444961430 1450932345 1460741040 1493939700 1507785840 1514016360 1526633163 1542053700 1547661168 1576321560 1605512700 1612147050 1643333670 1665417996 1682240400 1696259070 1733953716 1741118814 1751468400 1773361755 1825926300 1850464440 1884732300 1891585872 1892520450 1926615240 1934576460 1970401950 1991919600 2035510884 2056071600 2081772495 2128034106 2140683600 2149529400 2167442145 2191111560 2220557328 2261678760 2311938288 2313080550 2321491752 2364482340 2408269050 2418220575 2434568400 2512976400 2523360600 2544388605 2579435280 2600930574 2627202600 2629333872 2714014512 2738889450 2775696660 2827098450 2837378808 2857971600 2889922860 2901864690 2955602925 2987879400 3028032720 3053266326 3084107400 3152643120 3192051159 3211025400 3224294100 3286667340 3330835992 3392518140 3467907432 3469620825 3482237628 3546723510 3612403575 3651852600 3700928880 3769464600 3785040900 3853230480 3869152920 3901395861 3940803900 4071021768 4108334175 4163544990 4240647675 4256068212 4299058800 4334884290 4352797035 4382223120 4523357520 4579899489 4626161100 4642983504 4728964680 4816538100 4836441150 5046721200 5088777210 5201861148 5254405200 5320085265 5477778900 5551393320 5654196900 5674757616 5779845720 5803729380 5911205850 5975758800 6106532652 6168214800 6384102318 6422050800 6448588200 6502326435 6573334680 6661671984 6785036280 6935814864 6939241650 6964475256 7093447020 7224807150 7254661725 7303705200 7538929200 7570081800 7633165815 7738305840 7802791722 7881607800 8142043536 8216668350 8327089980 8481295350 8512136424 8669768580 8705594070 8866808775 9159798978 9252322200 9457929360 9576153477 9633076200 9672882300 10177554420 10403722296 10408862475 10640170530 10837210725 10955557800 11102786640 11308393800 11559691440 11607458760 11704187583 11822411700 12213065304 12721943025 12768204636 12897176400 13004652870 13146669360 13570072560 13878483300 13928950512 14186894040 14449614300 14509323450 15140163600 15266331630 15605583444 15763215600 15960255795 16433336700 16654179960 16962590700 17024272848 17339537160 17411188140 17733617550 18319597956 18504644400 19152306954 19266152400 19345764600 19506979305 20355108840 20807444592 20817724950 21280341060 21674421450 21763985175 21911115600 22616787600 22899497445 23214917520 23408375166 23644823400 24426130608 25443886050 25536409272 26009305740 26600426325 27756966600 28373788080 28899228600 29018646900 30532663260 31211166888 31920511590 32511632175 32866673400 33308359920 33925181400 34679074320 34822376280 35112562749 35467235100 36639195912 38165829075 38304613908 38691529200 39013958610 40710217680 41635449900 42560682120 43348842900 43527970350 45798994890 46816750332 47289646800 47880767385 50887772100 51072818544 52018611480 53200852650 55513933200 57798457200 58037293800 58520937915 61065326520 62422333776 63841023180 65023264350 65733346800 67850362800 69644752560 70225125498 70934470200 73278391824 76331658150 76609227816 78027917220 79801278975 83270899800 85121364240 86697685800 87055940700 91597989780 93633500664 95761534770 97534896525 101775544200 104037222960 105337688247 106401705300 114497487225 116074587600 117041875830 122130653040 127682046360 130046528700 140450250996 141868940400 152663316300 153218455632 156055834440 159602557950 166541799600 173395371600 174111881400 175562813745 183195979560 187267001328 191523069540 195069793050 203551088400 210675376494 212803410600 228994974450 234083751660 239403836925 255364092720 260093057400 280900501992 292604689575 305326632600 312111668880 319205115900 348223762800 351125627490 366391959120 383046139080 390139586100 421350752988 425606821200 457989948900 468167503320 478807673850 520186114800 526688441235 561801003984 585209379150 610653265200 638410231800 702251254980 766092278160 780279172200 842701505976 877814068725 915979897800 936335006640 957615347700 1053376882470 1170418758300 1276820463600 1404502509960 1560558344400 1685403011952 1755628137450 1831959795600 1915230695400 2106753764940 2340837516600 2633442206175 2809005019920 3511256274900 3830461390800 4213507529880 4681675033200 5266884412350 7022512549800 8427015059760 10533768824700 14045025099600 21067537649400 42135075298800
- Sum of all divisors σ(n): 174430591321392
- Sum of proper divisors (its aliquot sum) s(n): 132295516022592
- 42135075298800 is an abundant number, because the sum of its proper divisors (132295516022592) is greater than itself. Its abundance is 90160440723792
Bases of 42135075298800
- Binary: 10011001010010010101100011001000011101111100002
- Hexadecimal: 0x265256321DF0
- Base-36: EXOL3XR00
Squares and roots of 42135075298800
- 42135075298800 squared (421350752988002) is 1775364570435545909281440000
- 42135075298800 cubed (421350752988003) is 74805119858123443199657788201294272000000
-
The
square root of 42135075298800 is 6491153.6184872407 -
The
cube root of 42135075298800 is 34797.4904878839
Scales and comparisons
How big is 42135075298800?- 42,135,075,298,800 seconds is equal to 1,339,765 years, 3 weeks, 1 day, 15 hours.
-
To count from 1 to 42,135,075,298,800 would take you about three million, three hundred forty-nine thousand, four hundred twelve 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 42135075298800 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42135075298800
- 42135075298800 backwards is 00889257053124
- 42135075298800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42135075298800's digits is 54
- More coming soon!
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"Number 42135075298800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 42135075298800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/42135075298800/
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The information we have on file for 42135075298800 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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