2138009984000
2,138,009,984,000 is an even composite number composed of six prime numbers multiplied together.
2138009984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 2138009984000:
210 × 53 × 112 × 31 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 31 × 61 × 73)See below for interesting mathematical facts about the number 2138009984000 from the Numbermatics database.
Names of 2138009984000
- Cardinal: 2138009984000 can be written as Two trillion, one hundred thirty-eight billion, nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.138009984 × 1012
Factors of 2138009984000
Divisors of 2138009984000
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 61 62 64 73 80 88 100 110 121 122 124 125 128 146 155 160 176 200 220 242 244 248 250 256 275 292 305 310 320 341 352 365 400 440 484 488 496 500 512 550 584 605 610 620 640 671 682 704 730 775 800 803 880 968 976 992 1000 1024 1100 1168 1210 1220 1240 1280 1342 1364 1375 1408 1460 1525 1550 1600 1606 1705 1760 1825 1891 1936 1952 1984 2000 2200 2263 2336 2420 2440 2480 2560 2684 2728 2750 2816 2920 3025 3050 3100 3200 3212 3355 3410 3520 3650 3751 3782 3872 3875 3904 3968 4000 4015 4400 4453 4526 4672 4840 4880 4960 5120 5368 5456 5500 5632 5840 6050 6100 6200 6400 6424 6710 6820 7040 7300 7381 7502 7564 7625 7744 7750 7808 7936 8000 8030 8525 8800 8833 8906 9052 9125 9344 9455 9680 9760 9920 10736 10912 11000 11264 11315 11680 12100 12200 12400 12800 12848 13420 13640 14080 14600 14762 15004 15125 15128 15250 15488 15500 15616 15872 16000 16060 16775 17050 17600 17666 17812 18104 18250 18688 18755 18910 19360 19520 19840 20075 20801 21472 21824 22000 22265 22630 23360 24200 24400 24800 24893 25600 25696 26840 27280 28160 29200 29524 30008 30250 30256 30500 30976 31000 31232 31744 32000 32120 33550 34100 35200 35332 35624 36208 36500 36905 37376 37510 37820 38720 39040 39680 40150 41602 42625 42944 43648 44000 44165 44530 45260 46720 47275 48400 48800 48983 49600 49786 51392 53680 54560 56320 56575 58400 59048 60016 60500 60512 61000 61952 62000 62464 64000 64240 67100 68200 70400 70664 71248 72416 73000 73810 74752 75020 75640 77440 78080 79360 80300 83204 83875 85250 85888 87296 88000 88330 89060 90520 93440 93775 94550 96800 97600 97966 99200 99572 100375 102784 104005 107360 109120 111325 113150 116800 118096 120032 121000 121024 122000 123904 124000 124465 128000 128480 134200 136400 138043 140800 141328 142496 144832 146000 147620 150040 151280 154880 156160 158720 160600 166408 167750 170500 171776 174592 176000 176660 178120 181040 184525 186880 187550 189100 193600 195200 195932 198400 199144 200750 205568 208010 214720 218240 220825 222650 226300 228811 233600 236192 236375 240064 242000 242048 244000 244915 248000 248930 256960 268400 272800 273823 276086 281600 282656 282875 284992 289664 292000 295240 300080 302560 309760 312320 321200 332816 335500 341000 343552 349184 352000 353320 356240 362080 369050 373760 375100 378200 387200 390400 391864 396800 398288 401500 411136 416020 429440 436480 441650 445300 452600 457622 467200 468875 472384 472750 480128 484000 484096 488000 489830 496000 497860 513920 520025 536800 538813 545600 547646 552172 556625 565312 565750 569984 579328 584000 590480 600160 605120 619520 622325 642400 665632 671000 682000 687104 690215 704000 706640 712480 724160 738100 750200 756400 774400 780800 783728 793600 796576 803000 822272 832040 858880 872960 883300 890600 905200 915244 922625 934400 937750 944768 945500 960256 968000 968192 976000 979660 992000 995720 1027840 1040050 1073600 1077626 1091200 1095292 1104125 1104344 1113250 1130624 1131500 1139968 1144055 1158656 1168000 1180960 1200320 1210240 1224575 1244650 1284800 1331264 1342000 1364000 1369115 1380430 1408000 1413280 1424960 1448320 1476200 1500400 1512800 1518473 1548800 1561600 1567456 1593152 1606000 1664080 1717760 1745920 1766600 1781200 1810400 1830488 1845250 1868800 1875500 1889536 1891000 1920512 1936000 1936384 1952000 1959320 1984000 1991440 2055680 2080100 2147200 2155252 2182400 2190584 2208250 2208688 2226500 2261248 2263000 2279936 2288110 2317312 2336000 2361920 2400640 2420480 2449150 2489300 2569600 2600125 2662528 2684000 2694065 2728000 2738230 2760860 2826560 2849920 2896640 2952400 3000800 3025600 3036946 3097600 3111625 3134912 3186304 3212000 3328160 3435520 3451075 3533200 3562400 3620800 3660976 3690500 3751000 3779072 3782000 3841024 3872000 3904000 3918640 3968000 3982880 4111360 4160200 4294400 4310504 4364800 4381168 4416500 4417376 4453000 4522496 4526000 4559872 4576220 4672000 4723840 4801280 4840960 4898300 4978600 5139200 5200250 5325056 5368000 5388130 5456000 5476460 5521720 5653120 5699840 5720275 5793280 5904800 6001600 6051200 6073892 6122875 6223250 6269824 6372608 6424000 6656320 6845575 6902150 7066400 7124800 7241600 7321952 7381000 7502000 7558144 7564000 7592365 7744000 7808000 7837280 7965760 8320400 8588800 8621008 8729600 8762336 8833000 8834752 8906000 9044992 9052000 9152440 9344000 9447680 9602560 9681920 9796600 9957200 10278400 10400500 10650112 10736000 10776260 10912000 10952920 11043440 11306240 11399680 11440550 11586560 11809600 12003200 12102400 12147784 12245750 12446500 12539648 12745216 12848000 13312640 13470325 13691150 13804300 14132800 14249600 14483200 14643904 14762000 15004000 15128000 15184730 15488000 15674560 15931520 16640800 16703203 17177600 17242016 17255375 17524672 17666000 17669504 17812000 18104000 18304880 18895360 19205120 19593200 19914400 20556800 20801000 21300224 21472000 21552520 21824000 21905840 22086880 22612480 22799360 22881100 23619200 24006400 24204800 24295568 24491500 24893000 25079296 25490432 25696000 26625280 26940650 27382300 27608600 28265600 28499200 28601375 28966400 29287808 29524000 30008000 30256000 30369460 31349120 31863040 33281600 33406406 34227875 34484032 34510750 35049344 35332000 35339008 35624000 36208000 36609760 37790720 37961825 39186400 39828800 41602000 42944000 43105040 43648000 43811680 44173760 45224960 45762200 47238400 48012800 48409600 48591136 48983000 49786000 50158592 51392000 53250560 53881300 54764600 55217200 56531200 56998400 57202750 57932800 58575616 59048000 60016000 60512000 60738920 62698240 63726080 66563200 66812812 67351625 68455750 68968064 69021500 70098688 70664000 70678016 71248000 72416000 73219520 75923650 78372800 79657600 83204000 83516015 85888000 86210080 87623360 88347520 91524400 94476800 96025600 97182272 97966000 99572000 102784000 106501120 107762600 109529200 110434400 113062400 113996800 114405500 117151232 118096000 120032000 121024000 121477840 125396480 127452160 133126400 133625624 134703250 136911500 137936128 138043000 140197376 141328000 141356032 142496000 144832000 146439040 151847300 156745600 159315200 166408000 167032030 172420160 175246720 176695040 183048800 188953600 189809125 194364544 195932000 199144000 215525200 219058400 220868800 226124800 228811000 234302464 236192000 240064000 242048000 242955680 250792960 266252800 267251248 269406500 273823000 275872256 276086000 280394752 282656000 284992000 289664000 292878080 303694600 313491200 318630400 332816000 334064060 344840320 350493440 353390080 366097600 379618250 388729088 391864000 398288000 417580075 431050400 438116800 441737600 457622000 472384000 480128000 485911360 532505600 534502496 538813000 547646000 551744512 552172000 565312000 569984000 585756160 607389200 626982400 637260800 665632000 668128120 689680640 700986880 706780160 732195200 759236500 777458176 783728000 796576000 835160150 862100800 876233600 883475200 915244000 944768000 971822720 1069004992 1077626000 1095292000 1104344000 1130624000 1171512320 1214778400 1253964800 1331264000 1336256240 1379361280 1401973760 1464390400 1518473000 1554916352 1567456000 1593152000 1670320300 1724201600 1752467200 1766950400 1830488000 1943645440 2087900375 2138009984 2155252000 2190584000 2208688000 2429556800 2662528000 2672512480 2758722560 2928780800 3036946000 3134912000 3186304000 3340640600 3448403200 3504934400 3533900800 3660976000 3887290880 4175800750 4276019968 4310504000 4381168000 4417376000 4859113600 5345024960 5857561600 6073892000 6269824000 6681281200 6896806400 7009868800 7321952000 7774581760 8351601500 8552039936 8621008000 8762336000 8834752000 9718227200 10690049920 12147784000 13362562400 13793612800 14643904000 16703203000 17104079872 17242016000 17524672000 17669504000 19436454400 21380099840 24295568000 26725124800 29287808000 33406406000 34484032000 35049344000 38872908800 42760199680 48591136000 53450249600 66812812000 68968064000 85520399360 97182272000 106900499200 133625624000 194364544000 213800998400 267251248000 427601996800 534502496000 1069004992000 2138009984000
- Sum of all divisors σ(n): 6235445239296
- Sum of proper divisors (its aliquot sum) s(n): 4097435255296
- 2138009984000 is an abundant number, because the sum of its proper divisors (4097435255296) is greater than itself. Its abundance is 1959425271296
Bases of 2138009984000
- Binary: 111110001110010110101001101011100000000002
- Hexadecimal: 0x1F1CB535C00
- Base-36: RA6RXXQ8
Squares and roots of 2138009984000
- 2138009984000 squared (21380099840002) is 4571086691683680256000000
- 2138009984000 cubed (21380099840003) is 9773028984549238157191675904000000000
-
The
square root of 2138009984000 is 1462193.5521674277 -
The
cube root of 2138009984000 is 12882.5917138421
Scales and comparisons
How big is 2138009984000?- 2,138,009,984,000 seconds is equal to 67,982 years, 5 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 2,138,009,984,000 would take you about one hundred sixty-nine thousand, nine hundred fifty-five 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 2138009984000 cubic inches would be around 1073.5 feet tall.
Recreational maths with 2138009984000
- 2138009984000 backwards is 0004899008312
- 2138009984000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138009984000's digits is 44
- More coming soon!
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The information we have on file for 2138009984000 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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