2142048162816000
2,142,048,162,816,000 is an even composite number composed of six prime numbers multiplied together.
2142048162816000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 2142048162816000:
213 × 32 × 53 × 53 × 113 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 53 × 113 × 197 × 197)See below for interesting mathematical facts about the number 2142048162816000 from the Numbermatics database.
Names of 2142048162816000
- Cardinal: 2142048162816000 can be written as Two quadrillion, one hundred forty-two trillion, forty-eight billion, one hundred sixty-two million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.142048162816 × 1015
Factors of 2142048162816000
Divisors of 2142048162816000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 113 120 125 128 144 150 159 160 180 192 197 200 212 225 226 240 250 256 265 288 300 318 320 339 360 375 384 394 400 424 450 452 477 480 500 512 530 565 576 591 600 636 640 678 720 750 768 788 795 800 848 900 904 954 960 985 1000 1017 1024 1060 1125 1130 1152 1182 1200 1272 1280 1325 1356 1440 1500 1536 1576 1590 1600 1695 1696 1773 1800 1808 1908 1920 1970 2000 2034 2048 2120 2250 2260 2304 2364 2385 2400 2544 2560 2650 2712 2825 2880 2955 3000 3072 3152 3180 3200 3390 3392 3546 3600 3616 3816 3840 3940 3975 4000 4068 4096 4240 4500 4520 4608 4728 4770 4800 4925 5085 5088 5120 5300 5424 5650 5760 5910 5989 6000 6144 6304 6360 6400 6625 6780 6784 7092 7200 7232 7632 7680 7880 7950 8000 8136 8192 8475 8480 8865 9000 9040 9216 9456 9540 9600 9850 10170 10176 10240 10441 10600 10848 11300 11520 11820 11925 11978 12000 12288 12608 12720 12800 13250 13560 13568 14125 14184 14400 14464 14775 15264 15360 15760 15900 16000 16272 16950 16960 17730 17967 18000 18080 18432 18912 19080 19200 19700 19875 20340 20352 20480 20882 21200 21696 22261 22600 23040 23640 23850 23956 24000 24576 24625 25216 25425 25440 25600 26500 27120 27136 28250 28368 28800 28928 29550 29945 30528 30720 31323 31520 31800 32000 32544 33900 33920 35460 35934 36000 36160 36864 37824 38160 38400 38809 39400 39750 40680 40704 40960 41764 42375 42400 43392 44325 44522 45200 46080 47280 47700 47912 48000 49250 50432 50850 50880 51200 52205 53000 53901 54240 54272 56500 56736 57600 57856 59100 59625 59890 61056 61440 62646 63040 63600 64000 65088 66783 67800 67840 70920 71868 72000 72320 73728 73875 75648 76320 76800 77618 78800 79500 81360 81408 83528 84750 84800 86784 88650 89044 89835 90400 92160 93969 94560 95400 95824 96000 98500 100864 101700 101760 102400 104410 106000 107802 108480 108544 111305 113000 113472 115200 115712 116427 118200 119250 119780 122112 122880 125292 126080 127125 127200 128000 130176 133566 135600 135680 141840 143736 144000 144640 147750 149725 151296 152640 153600 155236 156615 157600 159000 162720 162816 167056 169500 169600 173568 177300 178088 179670 180800 184320 187938 189120 190800 191648 192000 194045 197000 200349 201728 203400 203520 204800 208820 212000 215604 216960 217088 221625 222610 226000 226944 230400 231424 232854 236400 238500 239560 244224 250584 252160 254250 254400 256000 260352 261025 267132 269505 271200 271360 283680 287472 288000 289280 295500 299450 302592 305280 307200 310472 313230 315200 318000 325440 325632 333915 334112 339000 339200 347136 349281 354600 356176 359340 361600 368640 375876 378240 381600 383296 384000 388090 394000 400698 403456 406800 407040 417640 424000 431208 433920 434176 443250 445220 449175 452000 453888 460800 462848 465708 469845 472800 477000 479120 488448 501168 504320 508500 508800 512000 520704 522050 534264 539010 542400 542720 556525 567360 574944 576000 578560 582135 591000 598900 605184 610560 614400 620944 626460 630400 636000 650880 651264 667830 668224 678000 678400 694272 698562 709200 712352 718680 723200 748625 751752 756480 763200 766592 768000 776180 783075 788000 801396 806912 813600 814080 835280 848000 862416 867840 886500 890440 898350 904000 907776 921600 925696 931416 939690 945600 954000 958240 970225 976896 1001745 1002336 1008640 1017000 1017600 1024000 1041408 1044100 1068528 1078020 1084800 1085440 1113050 1134720 1149888 1152000 1157120 1164270 1179833 1182000 1197800 1210368 1221120 1241888 1252920 1260800 1272000 1301760 1302528 1305125 1335660 1336448 1347525 1356000 1356800 1388544 1397124 1418400 1424704 1437360 1446400 1497250 1503504 1512960 1526400 1533184 1536000 1552360 1566150 1576000 1602792 1613824 1627200 1628160 1669575 1670560 1696000 1724832 1735680 1746405 1773000 1780880 1796700 1808000 1815552 1843200 1862832 1879380 1891200 1908000 1916480 1940450 1953792 2003490 2004672 2017280 2034000 2035200 2056877 2082816 2088200 2137056 2156040 2169600 2170880 2226100 2245875 2269440 2299776 2304000 2314240 2328540 2349225 2359666 2364000 2395600 2420736 2442240 2483776 2505840 2521600 2544000 2603520 2610250 2671320 2672896 2695050 2712000 2713600 2777088 2782625 2794248 2836800 2849408 2874720 2892800 2910675 2994500 3007008 3025920 3052800 3066368 3072000 3104720 3132300 3152000 3205584 3254400 3256320 3339150 3341120 3392000 3449664 3471360 3492810 3539499 3546000 3561760 3593400 3616000 3631104 3725664 3758760 3782400 3816000 3832960 3880900 3907584 3915375 4006980 4009344 4034560 4068000 4070400 4113754 4165632 4176400 4274112 4312080 4339200 4385417 4452200 4491750 4538880 4599552 4608000 4628480 4657080 4698450 4719332 4728000 4791200 4841472 4851125 4884480 4967552 5008725 5011680 5043200 5088000 5207040 5220500 5342640 5345792 5390100 5424000 5427200 5565250 5588496 5673600 5698816 5749440 5785600 5821350 5899165 5989000 6014016 6051840 6105600 6132736 6170631 6209440 6264600 6304000 6411168 6508800 6512640 6678300 6682240 6737625 6784000 6899328 6942720 6985620 7078998 7092000 7123520 7186800 7232000 7262208 7451328 7517520 7564800 7632000 7665920 7761800 7830750 8013960 8018688 8069120 8136000 8140800 8227508 8331264 8347875 8352800 8548224 8624160 8678400 8732025 8770834 8904400 8983500 9077760 9199104 9216000 9314160 9396900 9438664 9456000 9582400 9702250 9768960 9935104 10017450 10023360 10086400 10176000 10284385 10414080 10441000 10618497 10685280 10691584 10780200 10848000 10854400 11130500 11176992 11347200 11397632 11498880 11571200 11642700 11746125 11798330 11978000 12028032 12103680 12211200 12265472 12341262 12418880 12529200 12608000 12822336 13017600 13156251 13356600 13364480 13475250 13568000 13798656 13885440 13971240 14157996 14184000 14247040 14373600 14464000 14524416 14553375 14902656 15035040 15129600 15264000 15331840 15523600 15661500 16027920 16037376 16272000 16281600 16455016 16695750 16705600 17096448 17248320 17356800 17464050 17541668 17697495 17808800 17967000 18155520 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10104000768 10257868800 10459219545 10525000800 10531210240 10618497000 10691584000 10873340928 11038924800 11156500848 11176992000 11226667520 11326396800 11397632000 11621355050 11847611520 11922124800 12028032000 12081489920 12341262000 12630000960 12637452288 12822336000 13156251000 13164012800 13472001024 13591676160 13677158400 13798656000 13945626060 14033334400 14157996000 14306549760 14497787904 14809514400 14875334464 14902656000 15101862400 15787501200 15796815360 16037376000 16455016000 16734751272 16840001280 16849936384 16989595200 17096448000 17432032575 17541668000 17883187200 17962668032 18122234880 18398208000 18511893000 18594168080 18877328000 18956178432 19244851200 19734376500 19746019200 19870208000 20208001536 20515737600 20918439090 21050001600 21062420480 21236994000 21746681856 22313001696 22353984000 22453335040 22652793600 22795264000 23242710100 23695223040 23844249600 24056064000 24162979840 24682524000 25260001920 25274904576 25644672000 26312502000 26328025600 26944002048 27183352320 27597312000 27891252120 28066668800 28315992000 28995575808 29053387625 29619028800 29750668928 29805312000 30203724800 31575002400 31593630720 32074752000 32910032000 33469502544 33680002560 33979190400 34192896000 34864065150 35083336000 35766374400 35925336064 36244469760 37023786000 37188336160 37754656000 37912356864 39468753000 39492038400 39740416000 40416003072 41031475200 41836878180 42100003200 42124840960 42473988000 43493363712 44626003392 44707968000 44906670080 45305587200 46485420200 47390446080 48112128000 48325959680 49365048000 50520003840 50549809152 51289344000 52296097725 52625004000 52656051200 53888004096 54366704640 55194624000 55782504240 56133337600 56631984000 58106775250 59238057600 59501337856 59610624000 60407449600 63150004800 63187261440 65820064000 66939005088 67360005120 67958380800 68385792000 69728130300 70166672000 71532748800 72488939520 74047572000 74376672320 75509312000 75824713728 78937506000 78984076800 80832006144 83673756360 84200006400 84249681920 84947976000 86986727424 87160162875 89252006784 89415936000 89813340160 90611174400 92970840400 94780892160 96224256000 98730096000 101040007680 102578688000 104592195450 105250008000 105312102400 107776008192 108733409280 111565008480 112266675200 113263968000 116213550500 118476115200 119002675712 119221248000 120814899200 126300009600 126374522880 131640128000 133878010176 134720010240 135916761600 139456260600 140333344000 144977879040 148095144000 148753344640 151018624000 151649427456 157875012000 157968153600 161664012288 167347512720 168400012800 169895952000 174320325750 178504013568 178831872000 179626680320 181222348800 185941680800 189561784320 197460192000 202080015360 205157376000 209184390900 210500016000 210624204800 217466818560 223130016960 224533350400 226527936000 232427101000 236952230400 238005351424 241629798400 252600019200 252749045760 261480488625 263280256000 267756020352 269440020480 271833523200 278912521200 280666688000 296190288000 297506689280 302037248000 315750024000 315936307200 323328024576 334695025440 336800025600 339791904000 348640651500 357008027136 357663744000 362444697600 371883361600 379123568640 394920384000 404160030720 418368781800 421000032000 421248409600 434933637120 446260033920 449066700800 453055872000 464854202000 473904460800 476010702848 505200038400 522960977250 526560512000 535512040704 538880040960 543667046400 557825042400 561333376000 592380576000 595013378560 604074496000 631500048000 631872614400 669390050880 673600051200 679583808000 697281303000 714016054272 724889395200 743766723200 758247137280 789840768000 808320061440 836737563600 842000064000 892520067840 898133401600 906111744000 929708404000 947808921600 952021405696 1010400076800 1045921954500 1053121024000 1071024081408 1087334092800 1115650084800 1122666752000 1184761152000 1190026757120 1208148992000 1263000096000 1263745228800 1338780101760 1347200102400 1359167616000 1394562606000 1428032108544 1487533446400 1579681536000 1616640122880 1673475127200 1684000128000 1785040135680 1812223488000 1859416808000 1895617843200 1904042811392 2020800153600 2091843909000 2106242048000 2142048162816 2174668185600 2231300169600 2245333504000 2369522304000 2380053514240 2526000192000 2677560203520 2694400204800 2718335232000 2789125212000 2856064217088 2975066892800 3159363072000 3346950254400 3368000256000 3570080271360 3624446976000 3718833616000 3791235686400 4041600307200 4183687818000 4284096325632 4462600339200 4490667008000 4739044608000 4760107028480 5052000384000 5355120407040 5436670464000 5578250424000 5712128434176 5950133785600 6318726144000 6693900508800 6736000512000 7140160542720 7437667232000 8083200614400 8367375636000 8568192651264 8925200678400 9478089216000 9520214056960 10104000768000 10710240814080 10873340928000 11156500848000 11900267571200 13387801017600 13472001024000 14280321085440 14875334464000 16734751272000 17136385302528 17850401356800 18956178432000 20208001536000 21420481628160 22313001696000 23800535142400 26775602035200 28560642170880 29750668928000 33469502544000 35700802713600 40416003072000 42840963256320 44626003392000 47601070284800 53551204070400 59501337856000 66939005088000 71401605427200 85681926512640 89252006784000 107102408140800 119002675712000 133878010176000 142803210854400 178504013568000 214204816281600 238005351424000 267756020352000 357008027136000 428409632563200 535512040704000 714016054272000 1071024081408000 2142048162816000
- Sum of all divisors σ(n): 7978156356622608
- Sum of proper divisors (its aliquot sum) s(n): 5836108193806608
- 2142048162816000 is an abundant number, because the sum of its proper divisors (5836108193806608) is greater than itself. Its abundance is 3694060030990608
Bases of 2142048162816000
- Binary: 1111001110000101110011100111101011000100000000000002
- Hexadecimal: 0x79C2E73D62000
- Base-36: L3AJCA3GG0
Squares and roots of 2142048162816000
- 2142048162816000 squared (21420481628160002) is 4588370331823400845049856000000
- 2142048162816000 cubed (21420481628160003) is 9828510239601756079496185932725354496000000000
-
The
square root of 2142048162816000 is 46282266.1806441799 -
The
cube root of 2142048162816000 is 128906.9730287911
Scales and comparisons
How big is 2142048162816000?- 2,142,048,162,816,000 seconds is equal to 68,110,505 years, 40 weeks, 6 days, 16 hours.
-
To count from 1 to 2,142,048,162,816,000 would take you about two hundred four million, three hundred thirty-one thousand, five hundred seventeen 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 2142048162816000 cubic inches would be around 10742.2 feet tall.
Recreational maths with 2142048162816000
- 2142048162816000 backwards is 0006182618402412
- 2142048162816000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2142048162816000's digits is 45
- More coming soon!
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"Number 2142048162816000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 2142048162816000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/2142048162816000/
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Numbermatics. 2024. "Number 2142048162816000 - Facts about the integer". https://numbermatics.com/n/2142048162816000/
The information we have on file for 2142048162816000 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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