138495622304000
138,495,622,304,000 is an even composite number composed of seven prime numbers multiplied together.
138495622304000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138495622304000:
28 × 53 × 13 × 17 × 181 × 257 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 181 × 257 × 421)See below for interesting mathematical facts about the number 138495622304000 from the Numbermatics database.
Names of 138495622304000
- Cardinal: 138495622304000 can be written as One hundred thirty-eight trillion, four hundred ninety-five billion, six hundred twenty-two million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.38495622304 × 1014
Factors of 138495622304000
Divisors of 138495622304000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 125 128 130 136 160 170 181 200 208 221 250 256 257 260 272 320 325 340 362 400 416 421 425 442 500 514 520 544 640 650 680 724 800 832 842 850 884 905 1000 1028 1040 1088 1105 1280 1285 1300 1360 1448 1600 1625 1664 1684 1700 1768 1810 2000 2056 2080 2105 2125 2176 2210 2353 2570 2600 2720 2896 3077 3200 3250 3328 3341 3368 3400 3536 3620 4000 4112 4160 4210 4250 4352 4369 4420 4525 4706 5140 5200 5440 5473 5525 5792 6154 6400 6425 6500 6682 6736 6800 7072 7157 7240 8000 8224 8320 8420 8500 8738 8840 9050 9412 10280 10400 10525 10880 10946 11050 11584 11765 12308 12850 13000 13364 13472 13600 14144 14314 14480 15385 16000 16448 16640 16705 16840 17000 17476 17680 18100 18824 20560 20800 21050 21760 21845 21892 22100 22625 23168 23530 24616 25700 26000 26728 26944 27200 27365 27625 28288 28628 28960 30770 32000 32125 32896 33410 33680 34000 34952 35360 35785 36200 37648 40001 41120 41600 42100 43690 43784 44200 45250 46336 46517 47060 49232 51400 52000 52625 53456 53888 54400 54730 55250 56576 56797 57256 57920 58825 61540 64250 65792 66820 67360 68000 69904 70720 71570 72400 75296 76201 76925 80002 82240 83200 83525 84200 87380 87568 88400 90500 93034 93041 94120 98464 102800 104000 105250 106912 107776 108197 108800 109225 109460 110500 113594 114512 115840 117650 123080 128500 133640 134720 136000 136825 139808 141440 143140 144800 150592 152402 153850 160004 164480 167050 168400 174760 175136 176800 178925 181000 186068 186082 188240 196928 200005 205600 208000 210500 213824 216394 218450 218920 221000 227188 229024 231680 232585 235300 246160 257000 267280 269440 272000 273650 279616 282880 283985 286280 289600 294125 301184 304804 307700 320008 328960 334100 336800 349520 350272 353600 357850 362000 372136 372164 376480 381005 384625 393856 400010 411200 416000 417625 421000 427648 432788 436900 437840 442000 454376 458048 465170 465205 470600 492320 514000 534560 538880 540985 544000 546125 547300 559232 567970 572560 579200 588250 602368 604721 609608 615400 640016 668200 673600 684125 699040 700544 707200 715700 724000 744272 744328 752960 762010 769250 787712 790789 800020 822400 835250 842000 855296 865576 873800 875680 884000 894625 908752 916096 930340 930410 941200 984640 990613 1000025 1028000 1069120 1081970 1092250 1094600 1118464 1135940 1145120 1158400 1162925 1176500 1209442 1219216 1230800 1280032 1295417 1336400 1347200 1368250 1398080 1401088 1406561 1414400 1419925 1431400 1448000 1488544 1488656 1505920 1524020 1538500 1581578 1600040 1644800 1670500 1684000 1731152 1747600 1751360 1768000 1789250 1817504 1832192 1839349 1860680 1860820 1882400 1905025 1969280 1981226 2000050 2056000 2138240 2163940 2184500 2189200 2271880 2290240 2325850 2326025 2353000 2418884 2438432 2461600 2560064 2590834 2672800 2694400 2704925 2736500 2796160 2813122 2839850 2862800 2896000 2977088 2977312 3011840 3023605 3048040 3077000 3163156 3200080 3341000 3368000 3462304 3495200 3502720 3536000 3578500 3635008 3678698 3721360 3721640 3764800 3810050 3938560 3953945 3962452 4000100 4112000 4276480 4327880 4369000 4378400 4543760 4580480 4651700 4652050 4706000 4837768 4876864 4923200 4953065 5000125 5120128 5181668 5345600 5409850 5473000 5592320 5626244 5679700 5725600 5792000 5814625 5954176 5954624 6047210 6096080 6154000 6326312 6400160 6477085 6682000 6736000 6924608 6990400 7005440 7032805 7072000 7099625 7157000 7270016 7357396 7442720 7443280 7529600 7620100 7907890 7924904 8000200 8224000 8655760 8738000 8756800 9087520 9160960 9196745 9303400 9304100 9412000 9525125 9675536 9753728 9846400 9906130 10000250 10240256 10280257 10363336 10691200 10819700 10946000 11252488 11359400 11451200 11629250 11630125 11908352 11909248 12094420 12192160 12308000 12652624 12800320 12954170 13364000 13472000 13524625 13849216 13980800 14065610 14199250 14314000 14540032 14714792 14885440 14886560 15059200 15118025 15240200 15815780 15849808 16000400 16840421 17311520 17476000 17513600 18175040 18393490 18606800 18608200 18824000 19050250 19351072 19507456 19583657 19692800 19769725 19812260 20000500 20560514 20726672 21382400 21639400 21892000 22504976 22718800 22902400 23258500 23260250 23818496 23911537 24188840 24384320 24616000 24765325 25305248 25600640 25908340 26728000 27049250 27698432 27961600 28131220 28398500 28628000 29429584 29770880 29773120 30236050 30480400 31631560 31699616 32000800 32385425 33680842 34623040 34952000 35027200 35164025 36350080 36786980 37213600 37216400 37648000 38100500 38702144 39167314 39539450 39624520 40001000 41121028 41453344 43278800 43784000 45009952 45437600 45804800 45983725 46517000 46520500 47823074 48377680 48768640 49232000 49530650 50610496 51201280 51401285 51816680 53456000 54098500 56262440 56797000 57256000 58859168 59541760 59546240 60472100 60960800 63263120 63399232 64001600 64770850 67361684 69246080 69904000 70328050 72700160 73573960 74427200 74432800 75296000 75590125 76201000 77404288 78334628 79078900 79249040 80002000 82242056 82906688 84202105 86557600 87568000 90019904 90875200 91967450 93034000 93041000 95646148 96755360 97537280 97918285 98464000 98848625 99061300 101220992 102802570 103633360 106912000 108197000 112524880 113594000 114512000 117718336 119092480 119557685 120944200 121921600 123826625 126526240 126798464 128003200 129541700 134723368 138492160 139808000 140656100 147147920 148854400 148865600 151180250 152402000 154808576 156669256 158157800 158498080 160004000 161927125 164484112 165813376 168404210 173115200 175136000 175820125 180039808 181750400 183934900 186068000 186082000 191292296 193510720 195836570 197697250 198122600 202441984 205605140 207266720 216394000 225049760 227188000 229024000 229918625 235436672 239115370 241888400 243843200 247653250 253052480 253596928 254587541 256006400 257006425 259083400 269446736 281312200 294295840 297708800 297731200 302360500 304804000 313338512 316315600 316996160 320008000 323854250 328968224 331626752 332922169 336808420 346230400 351640250 360079616 363500800 367869800 372136000 372164000 382584592 387021440 391673140 395394500 396245200 411210280 414533440 421010525 432788000 450099520 454376000 459837250 470873344 478230740 483776800 487686400 489591425 495306500 506104960 509175082 514012850 518166800 538893472 562624400 588591680 595462400 597788425 604721000 609608000 626677024 632631200 633992320 640016000 647708500 657936448 665844338 673616840 692460800 703280500 735739600 744272000 744328000 765169184 774042880 783346280 790789000 792490400 822420560 829066880 842021050 865576000 900199040 908752000 919674500 956461480 967553600 979182850 990613000 1012209920 1018350164 1028025700 1036333600 1077786944 1125248800 1177183360 1195576850 1209442000 1219216000 1253354048 1265262400 1267984640 1272937705 1280032000 1285032125 1295417000 1315872896 1331688676 1347233680 1406561000 1471479200 1488544000 1488656000 1530338368 1566692560 1581578000 1584980800 1644841120 1658133760 1664610845 1684042100 1731152000 1800398080 1817504000 1839349000 1912922960 1935107200 1958365700 1981226000 2036700328 2056051400 2072667200 2105052625 2155573888 2250497600 2354366720 2391153700 2418884000 2438432000 2447957125 2506708096 2530524800 2545875410 2570064250 2590834000 2631745792 2663377352 2694467360 2813122000 2942958400 2977312000 2988942125 3060676736 3133385120 3163156000 3169961600 3289682240 3329221690 3368084200 3462304000 3678698000 3825845920 3870214400 3916731400 3962452000 4073400656 4112102800 4145334400 4210105250 4311147776 4327988197 4500995200 4782307400 4837768000 4895914250 5013416192 5061049600 5091750820 5140128500 5181668000 5326754704 5388934720 5626244000 5885916800 5977884250 6121353472 6266770240 6326312000 6339923200 6364688525 6579364480 6658443380 6736168400 7357396000 7651691840 7833462800 7924904000 8146801312 8224205600 8290668800 8323054225 8420210500 8655976394 9001990400 9564614800 9675536000 9791828500 10183501640 10280257000 10363336000 10653509408 10777869440 11252488000 11771833600 11955768500 12533540480 12652624000 12729377050 13158728960 13316886760 13472336800 14714792000 15303383680 15666925600 15849808000 16293602624 16448411200 16646108450 16840421000 17311952788 19129229600 19351072000 19583657000 20367003280 20560514000 20726672000 21307018816 21555738880 21639940985 22504976000 23911537000 25067080960 25305248000 25458754100 26633773520 26944673600 29429584000 30606767360 31333851200 31699616000 31823442625 32587205248 32896822400 33292216900 33680842000 34623905576 38258459200 39167314000 40734006560 41121028000 41453344000 41615271125 42614037632 43279881970 45009952000 47823074000 50917508200 53267547040 53889347200 58859168000 62667702400 63646885250 65174410496 65793644800 66584433800 67361684000 69247811152 76516918400 78334628000 81468013120 82242056000 83230542250 85228075264 86559763940 95646148000 101835016400 106535094080 107778694400 108199704925 125335404800 127293770500 133168867600 134723368000 138495622304 153033836800 156669256000 162936026240 164484112000 166461084500 173119527880 191292296000 203670032800 213070188160 216399409850 254587541000 266337735200 269446736000 276991244608 313338512000 325872052480 328968224000 332922169000 346239055760 382584592000 407340065600 426140376320 432798819700 509175082000 532675470400 538893472000 540998524625 553982489216 626677024000 665844338000 692478111520 765169184000 814680131200 865597639400 1018350164000 1065350940800 1081997049250 1107964978432 1331688676000 1384956223040 1629360262400 1731195278800 2036700328000 2130701881600 2163994098500 2663377352000 2769912446080 3462390557600 4073400656000 4327988197000 5326754704000 5539824892160 6924781115200 8146801312000 8655976394000 10653509408000 13849562230400 17311952788000 27699124460800 34623905576000 69247811152000 138495622304000
- Sum of all divisors σ(n): 398060958282624
- Sum of proper divisors (its aliquot sum) s(n): 259565335978624
- 138495622304000 is an abundant number, because the sum of its proper divisors (259565335978624) is greater than itself. Its abundance is 121069713674624
Bases of 138495622304000
- Binary: 111110111110110000001100101111011010001000000002
- Hexadecimal: 0x7DF6065ED100
- Base-36: 1D3C0DO2RK
Squares and roots of 138495622304000
- 138495622304000 squared (1384956223040002) is 19181037397372222268416000000
- 138495622304000 cubed (1384956223040003) is 2656489710785362457387680444350464000000000
-
The
square root of 138495622304000 is 11768416.3039892501 -
The
cube root of 138495622304000 is 51738.2833974289
Scales and comparisons
How big is 138495622304000?- 138,495,622,304,000 seconds is equal to 4,403,732 years, 20 weeks, 3 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,495,622,304,000 would take you about eleven million, nine thousand, three hundred thirty 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 138495622304000 cubic inches would be around 4311.5 feet tall.
Recreational maths with 138495622304000
- 138495622304000 backwards is 000403226594831
- The number of decimal digits it has is: 15
- The sum of 138495622304000's digits is 47
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138495622304000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 138495622304000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138495622304000/
Chicago style:
Numbermatics. 2024. "Number 138495622304000 - Facts about the integer". https://numbermatics.com/n/138495622304000/
The information we have on file for 138495622304000 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!
Keywords: Divisors of 138495622304000, math, Factors of 138495622304000, curriculum, school, college, exams, university, Prime factorization of 138495622304000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred ninety-five billion, six hundred twenty-two million, three hundred four thousand.