138264897984000
138,264,897,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138264897984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1280 divisors.
138264897984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138264897984000:
29 × 3 × 53 × 113 × 137 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 113 × 137 × 181 × 257)See below for interesting mathematical facts about the number 138264897984000 from the Numbermatics database.
Names of 138264897984000
- Cardinal: 138264897984000 can be written as One hundred thirty-eight trillion, two hundred sixty-four billion, eight hundred ninety-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38264897984 × 1014
Factors of 138264897984000
Divisors of 138264897984000
- Number of divisors d(n): 1280
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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 96 100 113 120 125 128 137 150 160 181 192 200 226 240 250 256 257 274 300 320 339 362 375 384 400 411 452 480 500 512 514 543 548 565 600 640 678 685 724 750 768 771 800 822 904 905 960 1000 1028 1086 1096 1130 1200 1280 1285 1356 1370 1448 1500 1536 1542 1600 1644 1695 1808 1810 1920 2000 2055 2056 2172 2192 2260 2400 2560 2570 2712 2715 2740 2825 2896 3000 3084 3200 3288 3390 3425 3616 3620 3840 3855 4000 4110 4112 4344 4384 4520 4525 4800 5140 5424 5430 5480 5650 5792 6000 6168 6400 6425 6576 6780 6850 7232 7240 7680 7710 8000 8220 8224 8475 8688 8768 9040 9050 9600 10275 10280 10848 10860 10960 11300 11584 12000 12336 12800 12850 13152 13560 13575 13700 14125 14464 14480 15420 15481 16000 16440 16448 16950 17125 17376 17536 18080 18100 19200 19275 20453 20550 20560 21696 21720 21920 22600 22625 23168 24000 24672 24797 25700 26304 27120 27150 27400 28250 28928 28960 29041 30840 30962 32000 32125 32880 32896 33900 34250 34752 35072 35209 36160 36200 38400 38550 40906 41100 41120 42375 43392 43440 43840 45200 45250 46336 46443 46517 48000 49344 49594 51375 51400 52608 54240 54300 54800 56500 57856 57920 58082 61359 61680 61924 64000 64250 65760 65792 67800 67875 68500 69504 70144 70418 72320 72400 74391 77100 77405 81812 82200 82240 84750 86784 86880 87123 87680 90400 90500 92672 92886 93034 96000 96375 98688 99188 102265 102750 102800 105216 105627 108480 108600 109600 113000 115840 116164 122718 123360 123848 123985 128500 131520 131584 135600 135750 137000 139008 139551 140836 144640 144800 145205 148782 154200 154810 163624 164400 164480 169500 173568 173760 174246 175360 176045 180800 181000 185772 186068 192000 192750 197376 198376 204530 205500 205600 210432 211254 216960 217200 219200 226000 231680 232215 232328 232585 245436 246720 247696 247970 257000 263040 271200 271500 274000 278016 279102 281672 289280 289600 290410 297564 306795 308400 309620 327248 328800 328960 339000 347520 348492 350720 352090 361600 362000 371544 371955 372136 385500 387025 394752 396752 409060 411000 411200 422508 433920 434400 435615 438400 452000 463360 464430 464656 465170 490872 493440 495392 495940 511325 514000 526080 528135 542400 543000 548000 558204 563344 579200 580820 595128 613590 616800 619240 619925 654496 657600 657920 678000 695040 696984 697755 704180 723200 724000 726025 743088 743910 744272 771000 774050 793504 818120 822000 822400 845016 867840 868800 871230 876800 880225 904000 928860 929312 930340 981744 986880 990784 991880 1022650 1028000 1052160 1056270 1084800 1086000 1096000 1116408 1126688 1158400 1161075 1161640 1162925 1190256 1227180 1233600 1238480 1239850 1308992 1315200 1356000 1390080 1393968 1395510 1408360 1446400 1448000 1452050 1486176 1487820 1488544 1533975 1542000 1548100 1587008 1636240 1644000 1644800 1690032 1737600 1742460 1753600 1760450 1808000 1857720 1858624 1859775 1860680 1935125 1963488 1973760 1981568 1983760 2045300 2056000 2112540 2169600 2172000 2178075 2192000 2232816 2253376 2316800 2322150 2323280 2325850 2380512 2454360 2467200 2476960 2479700 2556625 2617984 2630400 2640675 2712000 2787936 2791020 2802061 2816720 2896000 2904100 2972352 2975640 2977088 3067950 3084000 3096200 3099625 3174016 3272480 3288000 3289600 3380064 3475200 3484920 3488775 3520900 3616000 3630125 3715440 3717248 3719550 3721360 3870250 3926976 3963136 3967520 3978617 4090600 4112000 4225080 4339200 4344000 4356150 4384000 4401125 4465632 4506752 4644300 4646560 4651700 4761024 4908720 4934400 4953920 4959400 5113250 5235968 5256421 5260800 5281350 5424000 5575872 5582040 5604122 5633440 5792000 5805375 5808200 5814625 5944704 5951280 5954176 6135900 6168000 6192400 6199250 6348032 6372829 6544960 6576000 6760128 6950400 6969840 6977550 7041800 7232000 7260250 7430880 7434496 7439100 7442720 7669875 7740500 7853952 7926272 7935040 7957234 8181200 8224000 8406183 8450160 8688000 8712300 8768000 8802250 8931264 9013504 9288600 9293120 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33624732 33800640 34752000 34849200 34887750 35209000 35725056 37154400 37172480 37195500 37213600 38088192 38236974 39269760 39631360 39675200 39786170 40906000 42030915 42051368 42250800 43561500 44606976 44656320 44832976 45067520 46443000 46465600 46517000 47610240 47743404 49087200 49344000 49539200 49594000 50982632 52359680 52564210 52813500 54081024 55758720 55820400 56041220 56334400 58082000 59447040 59512800 59541760 59679255 61359000 61924000 63077052 63480320 63657872 63728290 65449600 67249464 67601280 69698400 69775500 70051525 70418000 71450112 74308800 74344960 74391000 74427200 76473948 78539520 78846315 79350400 79572340 81812000 84061830 84102736 84501600 87123000 89312640 89665952 90135040 92886000 92931200 93034000 95220480 95486808 95592435 98174400 99078400 99188000 99465425 101965264 105128420 105627000 111517440 111640800 112082440 112668800 116164000 118894080 119025600 119083520 119358510 122718000 123848000 126154104 127315744 127456580 130899200 131410525 134498928 135202560 139396800 139551000 140103050 140836000 148617600 148782000 148854400 152947896 157079040 157692630 158700800 159144680 159320725 163624000 168123660 168205472 169003200 174246000 178625280 179331904 185772000 185862400 186068000 190440960 190973616 191184870 196348800 198156800 198376000 198930850 203930528 210154575 210256840 211254000 223034880 223281600 224164880 225337600 232328000 238051200 238717020 245436000 247696000 252308208 254631488 254913160 261798400 262821050 268997856 270405120 278793600 279102000 280206100 281672000 297235200 297564000 297708800 298396275 305895792 315385260 317401600 318289360 318641450 327248000 336247320 336410944 338006400 348492000 350257625 357250560 358663808 371544000 371724800 372136000 381947232 382369740 392697600 394231575 396752000 397861700 407861056 420309150 420513680 422508000 446563200 448329760 450675200 464656000 476102400 477434040 477962175 490872000 495392000 497327125 504616416 509262976 509826320 525642100 537995712 557587200 558204000 560412200 563344000 594470400 595128000 595417600 596792550 611791584 630770520 636578720 637282900 654496000 657052625 672494640 672821888 676012800 696984000 700515250 717327616 720129677 743088000 744272000 763894464 764739480 785395200 788463150 793504000 795723400 796603625 815722112 840618300 841027360 845016000 893126400 896659520 929312000 952204800 954868080 955924350 981744000 990784000 994654250 1009232832 1018525952 1019652640 1050772875 1051284200 1075991424 1115174400 1116408000 1120824400 1126688000 1190256000 1193585100 1223583168 1261541040 1273157440 1274565800 1308992000 1314105250 1344989280 1345643776 1352025600 1393968000 1401030500 1434655232 1440259354 1486176000 1488544000 1491981375 1527788928 1529478960 1576926300 1587008000 1591446800 1593207250 1631444224 1681236600 1682054720 1690032000 1786252800 1793319040 1858624000 1909736160 1911848700 1963488000 1971157875 1989308500 2018465664 2037051904 2039305280 2101545750 2102568400 2151982848 2160389031 2232816000 2241648800 2253376000 2380512000 2387170200 2389810875 2447166336 2523082080 2546314880 2549131600 2628210500 2689978560 2691287552 2787936000 2802061000 2880518708 2972352000 2977088000 2983962750 3055577856 3058957920 3153852600 3182893600 3186414500 3262888448 3362473200 3364109440 3380064000 3586638080 3600648385 3819472320 3823697400 3926976000 3942315750 3978617000 4036931328 4078610560 4203091500 4205136800 4303965696 4320778062 4465632000 4483297600 4761024000 4774340400 4779621750 4894332672 5046164160 5092629760 5098263200 5256421000 5379957120 5575872000 5604122000 5761037416 5967925500 6111155712 6117915840 6307705200 6365787200 6372829000 6724946400 6728218880 6760128000 7173276160 7201296770 7638944640 7647394800 7884631500 7957234000 8073862656 8157221120 8406183000 8410273600 8641556124 8931264000 8966595200 9548680800 9559243500 9788665344 10092328320 10185259520 10196526400 10512842000 10759914240 10801945155 11208244000 11522074832 11935851000 12235831680 12615410400 12731574400 12745658000 13449892800 13456437760 14402593540 15277889280 15294789600 15769263000 15914468000 16314442240 16812366000 16820547200 17283112248 17933190400 18003241925 19097361600 19118487000 20184656640 20393052800 21025684000 21519828480 21603890310 22416488000 23044149664 23871702000 24471663360 25230820800 25463148800 25491316000 26899785600 28805187080 30555778560 30589579200 31538526000 31828936000 33624732000 33641094400 34566224496 35866380800 36006483850 38194723200 38236974000 40369313280 40786105600 42051368000 43207780620 44832976000 46088299328 47743404000 48943326720 50461641600 50926297600 50982632000 53799571200 54009725775 57610374160 61179158400 63077052000 63657872000 67249464000 67282188800 69132448992 72012967700 76389446400 76473948000 81572211200 84102736000 86415561240 89665952000 90016209625 92176598656 95486808000 100923283200 101965264000 107599142400 108019451550 115220748320 122358316800 126154104000 127315744000 134498928000 138264897984 144025935400 152778892800 152947896000 168205472000 172831122480 179331904000 180032419250 184353197312 190973616000 201846566400 203930528000 216038903100 230441496640 244716633600 252308208000 254631488000 268997856000 270048628875 276529795968 288051870800 305895792000 336410944000 345662244960 360064838500 368706394624 381947232000 407861056000 432077806200 460882993280 504616416000 537995712000 540097257750 553059591936 576103741600 611791584000 691324489920 720129677000 763894464000 864155612400 921765986560 1009232832000 1080194515500 1106119183872 1152207483200 1223583168000 1382648979840 1440259354000 1728311224800 1843531973120 2160389031000 2304414966400 2765297959680 2880518708000 3456622449600 4320778062000 4608829932800 5530595919360 5761037416000 6913244899200 8641556124000 9217659865600 11522074832000 13826489798400 17283112248000 23044149664000 27652979596800 34566224496000 46088299328000 69132448992000 138264897984000
- Sum of all divisors σ(n): 471558149846784
- Sum of proper divisors (its aliquot sum) s(n): 333293251862784
- 138264897984000 is an abundant number, because the sum of its proper divisors (333293251862784) is greater than itself. Its abundance is 195028353878784
Bases of 138264897984000
- Binary: 111110111000000010011100010000100010110000000002
- Hexadecimal: 0x7DC04E211600
- Base-36: 1D0E0MD62O
Squares and roots of 138264897984000
- 138264897984000 squared (1382648979840002) is 19117182014525927264256000000
- 138264897984000 cubed (1382648979840003) is 2643235220979986939315360049659904000000000
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The
square root of 138264897984000 is 11758609.5259601167 -
The
cube root of 138264897984000 is 51709.5366036117
Scales and comparisons
How big is 138264897984000?- 138,264,897,984,000 seconds is equal to 4,396,396 years, 3 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 138,264,897,984,000 would take you about ten million, nine hundred ninety thousand, nine hundred ninety 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 138264897984000 cubic inches would be around 4309.1 feet tall.
Recreational maths with 138264897984000
- 138264897984000 backwards is 000489798462831
- The number of decimal digits it has is: 15
- The sum of 138264897984000's digits is 69
- More coming soon!
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The information we have on file for 138264897984000 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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