142664893909248000
142,664,893,909,248,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 142664893909248000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
142664893909248000 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 142664893909248000:
211 × 3 × 53 × 1393 × 2632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 139 × 139 × 139 × 263 × 263)See below for interesting mathematical facts about the number 142664893909248000 from the Numbermatics database.
Names of 142664893909248000
- Cardinal: 142664893909248000 can be written as One hundred forty-two quadrillion, six hundred sixty-four trillion, eight hundred ninety-three billion, nine hundred nine million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.42664893909248 × 1017
Factors of 142664893909248000
Divisors of 142664893909248000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 139 150 160 192 200 240 250 256 263 278 300 320 375 384 400 417 480 500 512 526 556 600 640 695 750 768 789 800 834 960 1000 1024 1052 1112 1200 1280 1315 1390 1500 1536 1578 1600 1668 1920 2000 2048 2085 2104 2224 2400 2560 2630 2780 3000 3072 3156 3200 3336 3475 3840 3945 4000 4170 4208 4448 4800 5120 5260 5560 6000 6144 6312 6400 6575 6672 6950 7680 7890 8000 8340 8416 8896 9600 10240 10425 10520 11120 12000 12624 12800 13150 13344 13900 15360 15780 16000 16680 16832 17375 17792 19200 19321 19725 20850 21040 22240 24000 25248 25600 26300 26688 27800 30720 31560 32000 32875 33360 33664 34750 35584 36557 38400 38642 39450 41700 42080 44480 48000 50496 51200 52125 52600 53376 55600 57963 63120 64000 65750 66720 67328 69169 69500 71168 73114 76800 77284 78900 83400 84160 88960 96000 96605 98625 100992 104250 105200 106752 109671 111200 115926 126240 128000 131500 133440 134656 138338 139000 142336 146228 153600 154568 157800 166800 168320 177920 182785 192000 193210 197250 201984 207507 208500 210400 213504 219342 222400 231852 252480 256000 263000 266880 269312 276676 278000 284672 289815 292456 309136 315600 333600 336640 345845 355840 365570 384000 386420 394500 403968 415014 417000 420800 427008 438684 444800 463704 483025 504960 526000 533760 538624 548355 553352 556000 579630 584912 618272 631200 667200 673280 691690 711680 731140 768000 772840 789000 807936 830028 834000 841600 854016 877368 889600 913925 927408 966050 1009920 1037535 1052000 1067520 1096710 1106704 1112000 1159260 1169824 1236544 1262400 1334400 1346560 1383380 1423360 1449075 1462280 1545680 1578000 1615872 1660056 1668000 1683200 1729225 1754736 1779200 1827850 1854816 1932100 2019840 2075070 2104000 2135040 2193420 2213408 2224000 2318520 2339648 2415125 2473088 2524800 2668800 2685619 2693120 2741775 2766760 2898150 2924560 3091360 3156000 3320112 3336000 3366400 3458450 3509472 3558400 3655700 3709632 3864200 4039680 4150140 4208000 4270080 4386840 4426816 4448000 4569625 4637040 4679296 4830250 4946176 5049600 5081423 5187675 5337600 5371238 5483550 5533520 5796300 5849120 6182720 6312000 6640224 6672000 6732800 6916900 7018944 7116800 7245375 7311400 7419264 7728400 8056857 8079360 8300280 8416000 8646125 8773680 8853632 8896000 9139250 9274080 9358592 9614491 9660500 9892352 10099200 10162846 10375350 10675200 10742476 10967100 11067040 11592600 11698240 12365440 12624000 13280448 13344000 13428095 13465600 13708875 13833800 14037888 14490750 14622800 14838528 15244269 15456800 16113714 16600560 16832000 17292250 17547360 17707264 17792000 18278500 18548160 18717184 19228982 19321000 19784704 20198400 20325692 20750700 21350400 21484952 21934200 22134080 23185200 23396480 24730880 25248000 25407115 25938375 26560896 26688000 26856190 27417750 27667600 28075776 28843473 28981500 29245600 29677056 30488538 30913600 32227428 33201120 33664000 34584500 35094720 35414528 35584000 36557000 37096320 37434368 38457964 38642000 39569408 40284285 40396800 40651384 41501400 42969904 43868400 44268160 46370400 46792960 48072455 49461760 50496000 50814230 51876750 53121792 53376000 53712380 54835500 55335200 56151552 57686946 57963000 58491200 59354112 60977076 61827200 64454856 66402240 67140475 67328000 69169000 70189440 70829056 73114000 74192640 74868736 76221345 76915928 77284000 80568570 81302768 83002800 85939808 87736800 88536320 92740800 93585920 96144910 98923520 100992000 101628460 103753500 106243584 106752000 107424760 109671000 110670400 112303104 115373892 115926000 116982400 118708224 121954152 123654400 127035575 128909712 132804480 134280950 138338000 140378880 141658112 144217365 146228000 148385280 152442690 153831856 154568000 161137140 162605536 166005600 171879616 175473600 177072640 185481600 187171840 192289820 197847040 201421425 201984000 203256920 207507000 212487168 214849520 219342000 221340800 224606208 230747784 231852000 233964800 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1412635594 1442173650 1483852800 1524426900 1538318560 1611371400 1626055360 1660056000 1718796160 1754736000 1770726400 1845982272 1854816000 1871718400 1905533625 1922898200 1951266432 2014214250 2032569200 2062555392 2118953391 2124871680 2148495200 2213408000 2307477840 2339648000 2403622750 2439083040 2461309696 2473088000 2540711500 2578194240 2601688576 2656089600 2672828498 2685619000 2750073856 2807577600 2825271188 2884347300 2967705600 3048853800 3076637120 3222742800 3252110720 3320112000 3437592320 3509472000 3531588985 3541452800 3605434125 3691964544 3709632000 3811067250 3845796400 3902532864 4009242747 4028428500 4065138400 4125110784 4237906782 4296990400 4426816000 4614955680 4679296000 4807245500 4878166080 4922619392 4946176000 5081423000 5156388480 5203377152 5312179200 5345656996 5371238000 5500147712 5615155200 5650542376 5768694600 6097707600 6153274240 6445485600 6504221440 6640224000 6682071245 6875184640 7018944000 7063177970 7210868250 7383929088 7419264000 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40651384000 41251107840 42379067820 42765255968 42969904000 45204339008 46149556800 48781660800 49226193920 51563884800 52033771520 52973834775 53121792000 53456569960 56505423760 57686946000 59071432704 60977076000 61532742400 64147883952 64454856000 65042214400 66820712450 67806508512 68751846400 70631779700 73839290880 76915928000 78050657280 80184854940 81302768000 82502215680 84758135640 85530511936 85939808000 88289724625 90408678016 92299113600 97563321600 98452387840 100231068675 103127769600 105947669550 106913139920 113010847520 115373892000 121954152000 123065484800 128295767904 128909712000 130084428800 133641424900 135613017024 137503692800 141263559400 147678581760 153831856000 156101314560 160369709880 162605536000 167051781125 169516271280 171061023872 171879616000 176579449250 180817356032 184598227200 185761580611 195126643200 200462137350 206255539200 211895339100 213826279840 226021695040 230747784000 243908304000 246130969600 256591535808 257819424000 260168857600 264869173875 267282849800 271226034048 282527118800 295357163520 307663712000 320739419760 325211072000 334103562250 339032542560 342122047744 343759232000 353158898500 361634712064 369196454400 371523161222 390253286400 400924274700 412511078400 423790678200 427652559680 452043390080 461495568000 487816608000 492261939200 501155343375 513183071616 515638848000 529738347750 534565699600 542452068096 557284741833 565054237600 615327424000 641478839520 650422144000 668207124500 678065085120 684244095488 687518464000 706317797000 723269424128 738392908800 743046322444 780506572800 801848549400 847581356400 855305119360 904086780160 922991136000 928807903055 975633216000 1002310686750 1026366143232 1031277696000 1059476695500 1069131399200 1084904136192 1114569483666 1130108475200 1230654848000 1282957679040 1300844288000 1336414249000 1356130170240 1368488190976 1412635594000 1446538848256 1476785817600 1486092644888 1603697098800 1695162712800 1710610238720 1808173560320 1845982272000 1857615806110 1951266432000 2004621373500 2052732286464 2062555392000 2118953391000 2138262798400 2169808272384 2229138967332 2260216950400 2461309696000 2565915358080 2672828498000 2712260340480 2736976381952 2786423709165 2825271188000 2972185289776 3207394197600 3390325425600 3421220477440 3616347120640 3691964544000 3715231612220 3902532864000 4009242747000 4105464572928 4237906782000 4276525596800 4339616544768 4458277934664 4520433900800 4644039515275 5131830716160 5345656996000 5424520680960 5572847418330 5650542376000 5944370579552 6414788395200 6780650851200 6842440954880 7232694241280 7383929088000 7430463224440 8018485494000 8210929145856 8475813564000 8553051193600 8916555869328 9040867801600 9288079030550 10263661432320 10691313992000 10849041361920 11145694836660 11301084752000 11888741159104 12829576790400 13561301702400 13684881909760 13932118545825 14860926448880 16036970988000 16951627128000 17106102387200 17833111738656 18081735603200 18576158061100 20527322864640 21382627984000 21698082723840 22291389673320 22602169504000 23220197576375 23777482318208 25659153580800 27122603404800 27864237091650 29721852897760 32073941976000 33903254256000 34212204774400 35666223477312 36163471206400 37152316122200 41054645729280 42765255968000 44582779346640 45204339008000 46440395152750 47554964636416 51318307161600 54245206809600 55728474183300 59443705795520 64147883952000 67806508512000 68424409548800 69660592729125 71332446954624 74304632244400 85530511936000 89165558693280 90408678016000 92880790305500 95109929272832 102636614323200 108490413619200 111456948366600 118887411591040 128295767904000 135613017024000 139321185458250 142664893909248 148609264488800 171061023872000 178331117386560 180817356032000 185761580611000 190219858545664 205273228646400 222913896733200 237774823182080 256591535808000 271226034048000 278642370916500 285329787818496 297218528977600 342122047744000 356662234773120 371523161222000 380439717091328 445827793466400 475549646364160 513183071616000 542452068096000 557284741833000 570659575636992 594437057955200 713324469546240 743046322444000 891655586932800 951099292728320 1026366143232000 1114569483666000 1141319151273984 1188874115910400 1426648939092480 1486092644888000 1783311173865600 1902198585456640 2229138967332000 2377748231820800 2853297878184960 2972185289776000 3566622347731200 4458277934664000 4755496463641600 5706595756369920 5944370579552000 7133244695462400 8916555869328000 9510992927283200 11888741159104000 14266489390924800 17833111738656000 23777482318208000 28532978781849600 35666223477312000 47554964636416000 71332446954624000 142664893909248000
- Sum of all divisors σ(n): 479937339289699200
- Sum of proper divisors (its aliquot sum) s(n): 337272445380451200
- 142664893909248000 is an abundant number, because the sum of its proper divisors (337272445380451200) is greater than itself. Its abundance is 194607551471203200
Bases of 142664893909248000
- Binary: 1111110101101100011110111000100110110000100101000000000002
- Hexadecimal: 0x1FAD8F713612800
- Base-36: 130QHFHB5UDC
Squares and roots of 142664893909248000
- 142664893909248000 squared (1426648939092480002) is 20353271954136987087659925504000000
- 142664893909248000 cubed (1426648939092480003) is 2903697384043025987958532127896743016660992000000000
-
The
square root of 142664893909248000 is 377710065.9358286153 -
The
cube root of 142664893909248000 is 522523.3540798673
Scales and comparisons
How big is 142664893909248000?- 142,664,893,909,248,000 seconds is equal to 4,536,302,334 years, 42 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 142,664,893,909,248,000 would take you about thirteen billion, six hundred eight million, nine hundred seven thousand and four 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 142664893909248000 cubic inches would be around 43543.6 feet tall.
Recreational maths with 142664893909248000
- 142664893909248000 backwards is 000842909398466241
- 142664893909248000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 142664893909248000's digits is 75
- More coming soon!
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The information we have on file for 142664893909248000 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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