42141683808000
42,141,683,808,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42141683808000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
42141683808000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42141683808000:
28 × 33 × 53 × 7 × 1913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 191 × 191 × 191)See below for interesting mathematical facts about the number 42141683808000 from the Numbermatics database.
Names of 42141683808000
- Cardinal: 42141683808000 can be written as Forty-two trillion, one hundred forty-one billion, six hundred eighty-three million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 4.2141683808 × 1013
Factors of 42141683808000
Divisors of 42141683808000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 191 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 336 350 360 375 378 382 384 400 420 432 448 450 480 500 504 525 540 560 573 576 600 630 640 672 675 700 720 750 756 764 768 800 840 864 875 896 900 945 955 960 1000 1008 1050 1080 1120 1125 1146 1152 1200 1260 1280 1337 1344 1350 1400 1440 1500 1512 1528 1575 1600 1680 1719 1728 1750 1792 1800 1890 1910 1920 2000 2016 2100 2160 2240 2250 2292 2304 2400 2520 2625 2674 2688 2700 2800 2865 2880 3000 3024 3056 3150 3200 3360 3375 3438 3456 3500 3600 3780 3820 3840 4000 4011 4032 4200 4320 4480 4500 4584 4725 4775 4800 5040 5157 5250 5348 5376 5400 5600 5730 5760 6000 6048 6112 6300 6400 6685 6720 6750 6876 6912 7000 7200 7560 7640 7875 8000 8022 8064 8400 8595 8640 8960 9000 9168 9450 9550 9600 10080 10314 10500 10696 10800 11200 11460 11520 12000 12033 12096 12224 12600 13370 13440 13500 13752 14000 14325 14400 15120 15280 15750 16000 16044 16128 16800 17190 17280 18000 18336 18900 19100 19200 20055 20160 20628 21000 21392 21600 22400 22920 23625 23875 24000 24066 24192 24448 25200 25785 26740 26880 27000 27504 28000 28650 28800 30240 30560 31500 32000 32088 33425 33600 34380 34560 36000 36099 36481 36672 37800 38200 40110 40320 41256 42000 42784 42975 43200 44800 45840 47250 47750 48000 48132 48384 48896 50400 51570 53480 54000 55008 56000 57300 57600 60165 60480 61120 63000 64176 66850 67200 68760 71625 72000 72198 72962 73344 75600 76400 80220 80640 82512 84000 85568 85950 86400 91680 94500 95500 96000 96264 100275 100800 103140 106960 108000 109443 110016 112000 114600 120330 120960 122240 126000 128352 128925 133700 134400 137520 143250 144000 144396 145924 146688 151200 152800 160440 165024 167125 168000 171136 171900 172800 180495 182405 183360 189000 191000 192528 200550 201600 206280 213920 214875 216000 218886 220032 224000 229200 240660 241920 244480 252000 255367 256704 257850 267400 275040 286500 288000 288792 291848 300825 302400 305600 320880 328329 330048 334250 336000 342272 343800 360990 364810 366720 378000 382000 385056 401100 403200 412560 427840 429750 432000 437772 440064 458400 481320 501375 504000 510734 513408 515700 534800 547215 550080 573000 577584 583696 601650 604800 611200 641760 644625 656658 660096 668500 672000 687600 721980 729620 733440 756000 764000 766101 770112 802200 825120 855680 859500 864000 875544 902475 912025 916800 962640 984987 1002750 1008000 1021468 1026816 1031400 1069600 1094430 1100160 1146000 1155168 1167392 1203300 1209600 1222400 1276835 1283520 1289250 1313316 1320192 1337000 1375200 1443960 1459240 1504125 1512000 1528000 1532202 1540224 1604400 1641645 1650240 1711360 1719000 1751088 1804950 1824050 1833600 1925280 1969974 2005500 2016000 2042936 2062800 2139200 2188860 2200320 2292000 2298303 2310336 2334784 2406600 2553670 2567040 2578500 2626632 2674000 2736075 2750400 2887920 2918480 3008250 3024000 3056000 3064404 3080448 3208800 3283290 3300480 3438000 3502176 3609900 3648100 3667200 3830505 3850560 3939948 4011000 4085872 4125600 4278400 4377720 4512375 4560125 4584000 4596606 4620672 4669568 4813200 4924935 5107340 5134080 5157000 5253264 5348000 5472150 5500800 5775840 5836960 6016500 6048000 6112000 6128808 6384175 6417600 6566580 6600960 6876000 6894909 6967871 7004352 7219800 7296200 7661010 7701120 7879896 8022000 8171744 8208225 8251200 8556800 8755440 9024750 9120250 9168000 9193212 9241344 9339136 9626400 9849870 10214680 10314000 10506528 10696000 10944300 11001600 11491515 11551680 11673920 12033000 12257616 12768350 12835200 13133160 13680375 13752000 13789818 13935742 14008704 14439600 14592400 15322020 15402240 15759792 16044000 16343488 16416450 16502400 17510880 18049500 18240500 18336000 18386424 19152525 19252800 19699740 20429360 20628000 20903613 21013056 21392000 21888600 22983030 23103360 23347840 24066000 24515232 24624675 25536700 25670400 26266320 27360750 27504000 27579636 27871484 28017408 28879200 29184800 30644040 31519584 31920875 32088000 32686976 32832900 33004800 34474545 34839355 35021760 36099000 36481000 36772848 38305050 38505600 39399480 40858720 41041125 41256000 41807226 42026112 42784000 43777200 45966060 46206720 46695680 48132000 48775097 49030464 49249350 51073400 52532640 54721500 55008000 55159272 55742968 57457575 57758400 58369600 61288080 62710839 63039168 63841750 64176000 65373952 65665800 68949090 69678710 70043520 72198000 72962000 73545696 76610100 77011200 78798960 81717440 82082250 82512000 83614452 84052224 87554400 91932120 95762625 96264000 97550194 98060928 98498700 102146800 104518065 105065280 109443000 110318544 111485936 114915150 115516800 116739200 122576160 123123375 125421678 126078336 127683500 128352000 131331600 137898180 139357420 140087040 144396000 145924000 146325291 147091392 153220200 157597920 163434880 164164500 165024000 167228904 172372725 174196775 175108800 183864240 188132517 191525250 192528000 195100388 196121856 196997400 204293600 209036130 210130560 218886000 220637088 222971872 229830300 231033600 233478400 243875485 245152320 246246750 250843356 252156672 255367000 262663200 275796360 278714840 287287875 288792000 291848000 292650582 294182784 306440400 313554195 315195840 326869760 328329000 334457808 344745450 348393550 350217600 367728480 376265034 383050500 385056000 390200776 393994800 408587200 418072260 420261120 437772000 438975873 441274176 445943744 459660600 487750970 490304640 492493500 501686712 510734000 522590325 525326400 551592720 557429680 574575750 577584000 583696000 585301164 588365568 612880800 627108390 630391680 656658000 668915616 689490900 696787100 700435200 731626455 735456960 752530068 766101000 780401552 787989600 817174400 836144520 861863625 870983875 875544000 877951746 882548352 891887488 919321200 940662585 975501940 980609280 984987000 1003373424 1021468000 1045180650 1050652800 1103185440 1114859360 1149151500 1155168000 1167392000 1170602328 1219377425 1225761600 1254216780 1260783360 1313316000 1316927619 1337831232 1378981800 1393574200 1463252910 1470913920 1505060136 1532202000 1560803104 1567770975 1575979200 1634348800 1672289040 1723727250 1741967750 1751088000 1755903492 1765096704 1783774976 1838642400 1881325170 1951003880 1969974000 2006746848 2042936000 2090361300 2101305600 2194879365 2206370880 2229718720 2298303000 2341204656 2438754850 2451523200 2508433560 2612951625 2626632000 2633855238 2675662464 2757963600 2787148400 2926505820 2941827840 3010120272 3064404000 3121606208 3135541950 3151958400 3344578080 3447454500 3483935500 3502176000 3511806984 3658132275 3677284800 3762650340 3902007760 3939948000 4013493696 4085872000 4180722600 4389758730 4412741760 4459437440 4596606000 4682409312 4703312925 4877509700 4903046400 5016867120 5225903250 5253264000 5267710476 5351324928 5515927200 5574296800 5853011640 6020240544 6096887125 6128808000 6243212416 6271083900 6303916800 6584638095 6689156160 6894909000 6967871000 7023613968 7316264550 7354569600 7525300680 7804015520 7838854875 7879896000 8026987392 8171744000 8361445200 8779517460 8825483520 8918874880 9193212000 9364818624 9406625850 9755019400 10033734240 10451806500 10506528000 10535420952 10974396825 11031854400 11148593600 11706023280 12040481088 12193774250 12257616000 12486424832 12542167800 13169276190 13378312320 13789818000 13935742000 14047227936 14632529100 14709139200 15050601360 15608031040 15677709750 15759792000 16053974784 16722890400 17559034920 18290661375 18386424000 18729637248 18813251700 19510038800 20067468480 20903613000 21070841904 21948793650 22063708800 22297187200 23412046560 23516564625 24080962176 24387548500 24515232000 25084335600 26338552380 26756624640 27579636000 27871484000 28094455872 29265058200 30101202720 31216062080 31355419500 31519584000 32923190475 33445780800 35118069840 36581322750 36772848000 37459274496 37626503400 39020077600 40134936960 41807226000 42141683808 43897587300 44127417600 44594374400 46824093120 47033129250 48161924352 48775097000 50168671200 52677104760 54871984125 55159272000 55742968000 56188911744 58530116400 60202405440 62432124160 62710839000 65846380950 66891561600 70236139680 73162645500 73545696000 75253006800 78040155200 80269873920 83614452000 84283367616 87795174600 93648186240 94066258500 97550194000 100337342400 105354209520 109743968250 110318544000 111485936000 112377823488 117060232800 120404810880 125421678000 131692761900 133783123200 140472279360 146325291000 150506013600 156080310400 164615952375 167228904000 168566735232 175590349200 187296372480 188132517000 195100388000 200674684800 210708419040 219487936500 220637088000 222971872000 234120465600 240809621760 250843356000 263385523800 280944558720 292650582000 301012027200 312160620800 329231904750 334457808000 337133470464 351180698400 376265034000 390200776000 401349369600 421416838080 438975873000 468240931200 501686712000 526771047600 561889117440 585301164000 602024054400 658463809500 668915616000 702361396800 752530068000 780401552000 842833676160 877951746000 936481862400 1003373424000 1053542095200 1170602328000 1204048108800 1316927619000 1404722793600 1505060136000 1560803104000 1685667352320 1755903492000 2006746848000 2107084190400 2341204656000 2633855238000 2809445587200 3010120272000 3511806984000 4214168380800 4682409312000 5267710476000 6020240544000 7023613968000 8428336761600 10535420952000 14047227936000 21070841904000 42141683808000
- Sum of all divisors σ(n): 178679753441280
- Sum of proper divisors (its aliquot sum) s(n): 136538069633280
- 42141683808000 is an abundant number, because the sum of its proper divisors (136538069633280) is greater than itself. Its abundance is 94396385825280
Bases of 42141683808000
- Binary: 10011001010011111000000001011111110111000000002
- Hexadecimal: 0x2653E017F700
- Base-36: EXRMEH1C0
Squares and roots of 42141683808000
- 42141683808000 squared (421416838080002) is 1775921514173449380864000000
- 42141683808000 cubed (421416838080003) is 74840322918122094277064053850112000000000
-
The
square root of 42141683808000 is 6491662.6381844581 -
The
cube root of 42141683808000 is 34799.3096176951
Scales and comparisons
How big is 42141683808000?- 42,141,683,808,000 seconds is equal to 1,339,975 years, 10 weeks.
-
To count from 1 to 42,141,683,808,000 would take you about three million, three hundred forty-nine thousand, nine hundred thirty-seven 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 42141683808000 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42141683808000
- 42141683808000 backwards is 00080838614124
- 42141683808000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42141683808000's digits is 45
- More coming soon!
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The information we have on file for 42141683808000 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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