142138847968000
142,138,847,968,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 142138847968000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
142138847968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 142138847968000:
28 × 53 × 132 × 17 × 31 × 53 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 31 × 53 × 941)See below for interesting mathematical facts about the number 142138847968000 from the Numbermatics database.
Names of 142138847968000
- Cardinal: 142138847968000 can be written as One hundred forty-two trillion, one hundred thirty-eight billion, eight hundred forty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.42138847968 × 1014
Factors of 142138847968000
Divisors of 142138847968000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 50 52 53 62 64 65 68 80 85 100 104 106 124 125 128 130 136 155 160 169 170 200 208 212 221 248 250 256 260 265 272 310 320 325 338 340 400 403 416 424 425 442 496 500 520 527 530 544 620 640 650 676 680 689 775 800 806 832 845 848 850 884 901 941 992 1000 1040 1054 1060 1088 1105 1240 1280 1300 1325 1352 1360 1378 1550 1600 1612 1625 1643 1664 1690 1696 1700 1768 1802 1882 1984 2000 2015 2080 2108 2120 2125 2176 2210 2480 2600 2635 2650 2704 2720 2756 2873 3100 3200 3224 3250 3286 3328 3380 3392 3400 3445 3536 3604 3764 3875 3968 4000 4030 4160 4216 4225 4240 4250 4352 4420 4505 4705 4960 5200 5239 5270 5300 5408 5440 5512 5525 5746 6200 6400 6448 6500 6572 6625 6760 6784 6800 6851 6890 7072 7208 7528 7750 7936 8000 8060 8215 8320 8432 8450 8480 8500 8840 8957 9010 9410 9920 10075 10400 10478 10540 10600 10816 10880 11024 11050 11492 11713 12233 12400 12896 13000 13144 13175 13250 13520 13568 13600 13702 13780 14144 14365 14416 15056 15500 15997 16000 16120 16430 16640 16864 16900 16960 17000 17225 17680 17914 18020 18820 19840 20150 20800 20956 21080 21125 21200 21359 21632 21760 22048 22100 22525 22984 23426 23525 24466 24800 25792 26000 26195 26288 26350 26500 27040 27200 27404 27560 27625 27931 28288 28730 28832 29171 30112 31000 31994 32000 32240 32860 33728 33800 33920 34000 34255 34450 35360 35828 36040 37640 39680 40300 41075 41600 41912 42160 42250 42400 42718 43264 44096 44200 44785 45050 45968 46852 47050 48932 49600 49873 50375 51584 52000 52390 52576 52700 53000 54080 54400 54808 55120 55250 55862 56576 57460 57664 58342 58565 60224 61165 62000 63988 64480 65720 65875 67456 67600 67840 68000 68510 68900 70720 71656 71825 72080 75280 79985 80600 82150 83200 83824 84320 84500 84800 85436 86125 88192 88400 89063 89570 90100 91936 93704 94100 97864 99200 99746 100750 103168 104000 104780 105152 105400 106000 106795 108160 108800 109616 110240 110500 111724 112625 114920 115328 116684 117130 117625 120448 122330 124000 127976 128960 130975 131440 131750 134912 135200 136000 137020 137800 139655 141440 143312 143650 144160 145855 150560 152269 159029 159970 161200 164300 167648 168640 169000 169600 170872 171275 172250 176384 176800 178126 179140 180200 183872 187408 188200 195728 198400 199492 201500 205375 207961 208000 209560 210304 210800 212000 213590 216320 219232 220480 221000 223448 223925 225250 229840 230656 233368 234260 235250 240896 244660 248000 249365 255952 257920 261950 262880 263500 270400 272000 274040 275600 277667 279310 282880 286624 287300 288320 291710 292825 301120 304538 305825 318058 319940 322400 328600 335296 337280 338000 339200 341744 342550 344500 353600 356252 358280 359125 360400 363103 367744 374816 376400 379223 391456 398984 399925 403000 410750 415922 416000 419120 420608 421600 424000 427180 438464 440960 442000 445315 446896 447850 450500 459680 466736 468520 470500 489320 495907 496000 498730 511904 515840 523900 525760 527000 533975 540800 544000 548080 551200 555334 558620 573248 574600 576640 583420 585650 602240 609076 611650 636116 639880 644800 648349 654875 657200 670592 674560 676000 683488 685100 689000 698275 707200 712504 716560 718250 720800 726206 729275 735488 749632 752800 758446 761345 782912 795145 797968 799850 806000 821500 831844 838240 843200 847841 848000 854360 856375 876928 881920 884000 890630 893792 895700 901000 919360 933472 937040 941000 978640 991814 992000 997460 1023808 1039805 1047800 1051520 1054000 1067950 1081600 1096160 1102400 1110668 1117240 1119625 1146496 1149200 1153280 1166840 1171300 1204480 1218152 1223300 1246825 1272232 1279760 1289600 1296698 1309750 1314400 1341184 1352000 1366976 1370200 1378000 1388335 1396550 1414400 1425008 1433120 1436500 1441600 1452412 1458550 1464125 1499264 1505600 1516892 1522690 1529125 1546063 1565824 1590290 1595936 1599700 1612000 1643000 1663688 1676480 1686400 1695682 1696000 1708720 1712750 1753856 1768000 1781260 1787584 1791400 1802000 1815515 1838720 1866944 1874080 1882000 1896115 1957280 1983628 1994920 1999625 2047616 2079610 2095600 2103040 2108000 2135900 2192320 2204800 2221336 2226575 2234480 2239250 2292992 2298400 2333680 2342600 2436304 2446600 2479535 2493650 2544464 2559520 2579200 2593396 2619500 2628800 2669875 2703493 2704000 2733952 2740400 2756000 2776670 2793100 2850016 2866240 2873000 2883200 2904824 2917100 2928250 2998528 3011200 3033784 3045380 3058250 3092126 3131648 3180580 3191872 3199400 3224000 3241745 3286000 3327376 3352960 3372800 3391364 3417440 3425500 3491375 3536000 3562520 3575168 3582800 3604000 3631030 3646375 3677440 3733888 3748160 3764000 3792230 3806725 3914560 3967256 3975725 3989840 3999250 4095232 4159220 4191200 4216000 4239205 4271800 4384640 4409600 4442672 4453150 4468960 4478500 4596800 4667360 4685200 4720339 4872608 4893200 4929899 4959070 4987300 5088928 5119040 5186792 5199025 5239000 5257600 5339750 5406986 5408000 5467904 5480800 5512000 5553340 5586200 5700032 5732480 5746000 5766400 5809648 5834200 5856500 6022400 6067568 6090760 6116500 6184252 6234125 6361160 6383744 6398800 6446791 6448000 6483490 6572000 6654752 6705920 6782728 6834880 6851000 6941675 6982750 7072000 7125040 7150336 7165600 7208000 7262060 7292750 7467776 7496320 7528000 7584460 7613450 7730315 7829120 7934512 7951450 7979680 7998500 8318440 8382400 8428537 8432000 8478410 8543600 8769280 8885344 8906300 8937920 8957000 9077575 9193600 9334720 9370400 9440678 9480575 9745216 9786400 9859798 9918140 9974600 10177856 10238080 10373584 10398050 10478000 10515200 10679500 10813972 10961600 11021933 11024000 11106680 11132875 11172400 11400064 11464960 11492000 11619296 11668400 11713000 12135136 12181520 12233000 12368504 12397675 12468250 12722320 12767488 12797600 12893582 12896000 12966980 13144000 13309504 13517465 13565456 13669760 13702000 13883350 13965500 14250080 14331200 14416000 14524120 14585500 14992640 15056000 15168920 15226900 15460630 15658240 15869024 15902900 15959360 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2427027200 2436304000 2464949500 2473700800 2512352375 2544464000 2572648832 2578716400 2593396000 2612846470 2628307100 2681865056 2697131840 2703493000 2713091200 2733439384 2755483250 2821614848 2850016000 2865702580 2904824000 3021016960 3033784000 3092126000 3155135360 3173804800 3215811040 3223395500 3285383875 3327376000 3352331320 3364233088 3371414800 3391364000 3416799230 3460471040 3527018560 3582128225 3776271200 3943919200 3967256000 4019763800 4125946240 4149433600 4180554352 4190414150 4205291360 4214268500 4325588800 4408773200 4441838999 4442672000 4585124128 4720339000 4872608000 4929899000 4947401600 5024704750 5088928000 5145297664 5157432800 5186792000 5225692940 5256614200 5363730112 5394263680 5406986000 5426182400 5466878768 5510966500 5731405160 5809648000 6042033920 6067568000 6184252000 6310270720 6431622080 6446791000 6532116175 6570767750 6654752000 6704662640 6728466176 6742829600 6782728000 6833598460 7054037120 7164256450 7552542400 7887838400 7934512000 8039527600 8251892480 8361108704 8380828300 8410582720 8428537000 8541998075 8651177600 8817546400 8883677998 8885344000 9170248256 9440678000 9859798000 9894803200 10049409500 10314865600 10373584000 10451385880 10476035375 10513228400 10727460224 10788527360 10813972000 10933757536 11021933000 11462810320 11619296000 12135136000 12368504000 12863244160 12893582000 13064232350 13141535500 13409325280 13485659200 13565456000 13667196920 14108074240 14328512900 15105084800 15775676800 15869024000 16079055200 16722217408 16761656600 16821165440 16857074000 17083996150 17302355200 17635092800 17767355996 17910641125 18340496512 18881356000 19719596000 20098819000 20629731200 20747168000 20902771760 20952070750 21026456800 21454920448 21627944000 21867515072 22043866000 22209194995 22925620640 24737008000 25726488320 25787164000 26128464700 26283071000 26818650560 26971318400 27130912000 27334393840 28657025800 30210169600 31551353600 32158110400 32660580875 33444434816 33523313200 33642330880 33714148000 34167992300 35270185600 35534711992 35821282250 36680993024 37762712000 39439192000 40197638000 41259462400 41805543520 41904141500 42052913600 42709990375 43255888000 43735030144 44087732000 44418389990 45851241280 49474016000 51574328000 52256929400 52566142000 53637301120 53942636800 54668787680 57314051600 64316220800 65321161750 66888869632 67046626400 67428296000 68335984600 70540371200 71069423984 71642564500 75525424000 78878384000 80395276000 83611087040 83808283000 84105827200 85419980750 86511776000 87470060288 88175464000 88836779980 91702482560 103148656000 104513858800 105132284000 107274602240 109337575360 111045974975 114628103200 128632441600 130642323500 134093252800 134856592000 136671969200 142138847968 143285129000 151050848000 157756768000 160790552000 167222174080 167616566000 168211654400 170839961500 176350928000 177673559960 183404965120 206297312000 209027717600 210264568000 218675150720 222091949950 229256206400 261284647000 268186505600 269713184000 273343938400 284277695936 286570258000 321581104000 334444348160 335233132000 341679923000 352701856000 355347119920 418055435200 420529136000 437350301440 444183899900 458512412800 522569294000 536373011200 546687876800 555229874875 568555391872 573140516000 643162208000 670466264000 683359846000 710694239840 836110870400 841058272000 888367799800 917024825600 1045138588000 1093375753600 1110459749750 1137110783744 1146281032000 1340932528000 1366719692000 1421388479680 1672221740800 1776735599600 2090277176000 2186751507200 2220919499500 2292562064000 2681865056000 2733439384000 2842776959360 3553471199200 4180554352000 4441838999000 4585124128000 5466878768000 5685553918720 7106942398400 8361108704000 8883677998000 10933757536000 14213884796800 17767355996000 28427769593600 35534711992000 71069423984000 142138847968000
- Sum of all divisors σ(n): 427428753583104
- Sum of proper divisors (its aliquot sum) s(n): 285289905615104
- 142138847968000 is an abundant number, because the sum of its proper divisors (285289905615104) is greater than itself. Its abundance is 143151057647104
Bases of 142138847968000
- Binary: 1000000101000110010001111000101010111011000000002
- Hexadecimal: 0x8146478ABB00
- Base-36: 1EDTOO5WCG
Squares and roots of 142138847968000
- 142138847968000 squared (1421388479680002) is 20203452101670217729024000000
- 142138847968000 cubed (1421388479680003) is 2871695406708073156659200557023232000000000
-
The
square root of 142138847968000 is 11922199.7956752931 -
The
cube root of 142138847968000 is 52188.0332477135
Scales and comparisons
How big is 142138847968000?- 142,138,847,968,000 seconds is equal to 4,519,575 years, 36 weeks, 3 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 142,138,847,968,000 would take you about eleven million, two hundred ninety-eight thousand, nine hundred thirty-nine 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 142138847968000 cubic inches would be around 4349 feet tall.
Recreational maths with 142138847968000
- 142138847968000 backwards is 000869748831241
- The number of decimal digits it has is: 15
- The sum of 142138847968000's digits is 61
- More coming soon!
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"Number 142138847968000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 142138847968000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/142138847968000/
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The information we have on file for 142138847968000 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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