138188350944000
138,188,350,944,000 is an even composite number composed of six prime numbers multiplied together.
138188350944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138188350944000:
28 × 34 × 53 × 7 × 41 × 4312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 41 × 431 × 431)See below for interesting mathematical facts about the number 138188350944000 from the Numbermatics database.
Names of 138188350944000
- Cardinal: 138188350944000 can be written as One hundred thirty-eight trillion, one hundred eighty-eight billion, three hundred fifty million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38188350944 × 1014
Factors of 138188350944000
Divisors of 138188350944000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 41 42 45 48 50 54 56 60 63 64 70 72 75 80 81 82 84 90 96 100 105 108 112 120 123 125 126 128 135 140 144 150 160 162 164 168 175 180 189 192 200 205 210 216 224 225 240 246 250 252 256 270 280 287 288 300 315 320 324 328 336 350 360 369 375 378 384 400 405 410 420 431 432 448 450 480 492 500 504 525 540 560 567 574 576 600 615 630 640 648 656 672 675 700 720 738 750 756 768 800 810 820 840 861 862 864 875 896 900 945 960 984 1000 1008 1025 1050 1080 1107 1120 1125 1134 1148 1152 1200 1230 1260 1280 1293 1296 1312 1344 1350 1400 1435 1440 1476 1500 1512 1575 1600 1620 1640 1680 1722 1724 1728 1750 1792 1800 1845 1890 1920 1968 2000 2016 2025 2050 2100 2155 2160 2214 2240 2250 2268 2296 2304 2400 2460 2520 2583 2586 2592 2624 2625 2688 2700 2800 2835 2870 2880 2952 3000 3017 3024 3075 3150 3200 3240 3280 3321 3360 3375 3444 3448 3456 3500 3600 3690 3780 3840 3879 3936 4000 4032 4050 4100 4200 4305 4310 4320 4428 4480 4500 4536 4592 4725 4800 4920 5040 5125 5166 5172 5184 5248 5250 5376 5400 5535 5600 5670 5740 5760 5904 6000 6034 6048 6150 6300 6400 6465 6480 6560 6642 6720 6750 6888 6896 6912 7000 7175 7200 7380 7560 7749 7758 7872 7875 8000 8064 8100 8200 8400 8610 8620 8640 8856 8960 9000 9051 9072 9184 9225 9450 9600 9840 10080 10125 10250 10332 10344 10368 10496 10500 10775 10800 11070 11200 11340 11480 11520 11637 11808 12000 12068 12096 12300 12600 12915 12930 12960 13120 13284 13440 13500 13776 13792 14000 14175 14350 14400 14760 15085 15120 15375 15498 15516 15744 15750 16000 16128 16200 16400 16605 16800 17220 17240 17280 17671 17712 18000 18102 18144 18368 18450 18900 19200 19395 19680 20160 20250 20500 20664 20688 20736 21000 21525 21550 21600 22140 22400 22680 22960 23247 23274 23616 23625 24000 24136 24192 24600 25200 25830 25860 25920 26240 26568 26880 27000 27153 27552 27584 27675 28000 28350 28700 28800 29520 30170 30240 30750 30996 31032 31488 31500 32000 32325 32400 32800 33210 33600 34440 34480 34560 34911 35342 35424 35875 36000 36204 36288 36736 36900 37800 38745 38790 39360 40320 40500 41000 41328 41376 42000 43050 43100 43200 44280 44800 45255 45360 45920 46125 46494 46548 47232 47250 48000 48272 48384 49200 50400 51660 51720 51840 52480 53013 53136 53875 54000 54306 55104 55168 55350 56000 56700 57400 57600 58185 59040 60340 60480 61500 61992 62064 63000 64575 64650 64800 65600 66420 67200 68880 68960 69822 70684 70848 70875 71750 72000 72408 72576 73472 73800 75425 75600 77490 77580 78720 80640 81000 81459 82000 82656 82752 83025 84000 86100 86200 86400 88355 88560 90510 90720 91840 92250 92988 93096 94464 94500 96000 96544 96975 98400 100800 103320 103440 103680 106026 106272 107625 107750 108000 108612 110208 110336 110700 112000 113400 114800 116235 116370 118080 120680 120960 123000 123697 123984 124128 126000 129150 129300 129600 131200 132840 134400 135765 137760 137920 138375 139644 141368 141696 141750 143500 144000 144816 145152 147600 150850 151200 154980 155160 157440 159039 161625 162000 162918 164000 165312 165504 166050 168000 172200 172400 172800 174555 176710 177120 181020 181440 183680 184500 185761 185976 186192 189000 193088 193725 193950 196800 201600 206640 206880 212052 212544 215250 215500 216000 217224 220416 221400 224000 226275 226800 229600 232470 232740 236160 241360 241920 244377 246000 247394 247968 248256 252000 258300 258600 259200 262400 265065 265680 271530 275520 275840 276750 279288 282736 283392 283500 287000 288000 289632 290925 295200 301700 302400 309960 310320 318078 322875 323250 324000 325836 328000 330624 331008 332100 336000 344400 344800 349110 353420 354240 362040 362880 367360 369000 371091 371522 371952 372384 377125 378000 386176 387450 387900 393600 403200 407295 413280 413760 415125 424104 425088 430500 431000 432000 434448 441775 442800 452550 453600 459200 464940 465480 472320 477117 482720 484875 488754 492000 494788 495936 496512 504000 516600 517200 518400 530130 531360 543060 551040 551680 553500 557283 558576 565472 567000 574000 579264 581175 581850 590400 603400 604800 618485 619920 620640 636156 645750 646500 648000 651672 656000 661248 664200 672000 678825 688800 689600 698220 706840 708480 724080 725760 738000 742182 743044 743904 744768 754250 756000 772352 774900 775800 787200 795195 814590 826560 827520 830250 848208 850176 861000 862000 864000 868896 872775 883550 885600 905100 907200 918400 928805 929880 930960 954234 965440 968625 969750 977508 984000 989576 991872 993024 1008000 1033200 1034400 1060260 1062720 1086120 1102080 1107000 1113273 1114566 1117152 1130944 1131375 1134000 1148000 1158528 1162350 1163700 1180800 1206800 1209600 1221885 1236970 1239840 1241280 1272312 1291500 1293000 1296000 1300327 1303344 1312000 1325325 1328400 1357650 1377600 1379200 1396440 1413680 1416960 1431351 1448160 1454625 1476000 1484364 1486088 1487808 1489536 1508500 1512000 1549800 1551600 1590390 1629180 1653120 1655040 1660500 1671849 1696416 1722000 1724000 1737792 1745550 1767100 1771200 1810200 1814400 1836800 1855455 1857610 1859760 1861920 1908468 1930880 1937250 1939500 1955016 1968000 1979152 1983744 2016000 2036475 2066400 2068800 2120520 2125440 2172240 2208875 2214000 2226546 2229132 2234304 2261888 2262750 2268000 2296000 2317056 2324700 2327400 2361600 2385585 2413600 2443770 2473940 2479680 2482560 2544624 2583000 2586000 2592000 2600654 2606688 2650650 2656800 2715300 2755200 2758400 2786415 2792880 2827360 2862702 2896320 2905875 2909250 2952000 2968728 2972176 2975616 2979072 3017000 3024000 3092425 3099600 3103200 3180780 3258360 3306240 3321000 3339819 3343698 3392832 3394125 3444000 3448000 3475584 3491100 3534200 3542400 3620400 3628800 3710910 3715220 3719520 3723840 3816936 3861760 3874500 3879000 3900981 3910032 3936000 3958304 3975975 4072950 4132800 4137600 4241040 4250880 4344480 4363875 4417750 4428000 4453092 4458264 4468608 4523776 4525500 4536000 4592000 4644025 4649400 4654800 4771170 4827200 4887540 4947880 4959360 4965120 5015547 5089248 5166000 5172000 5201308 5213376 5301300 5313600 5430600 5510400 5566365 5572830 5585760 5654720 5725404 5792640 5811750 5818500 5904000 5937456 5944352 5951232 6034000 6048000 6109425 6184850 6199200 6206400 6361560 6501635 6516720 6626625 6642000 6679638 6687396 6785664 6788250 6888000 6896000 6951168 6982200 7068400 7084800 7156755 7240800 7421820 7430440 7439040 7447680 7616201 7633872 7749000 7758000 7801962 7820064 7916608 7951950 8145900 8265600 8275200 8359245 8482080 8688960 8727750 8835500 8856000 8906184 8916528 8937216 9051000 9072000 9184000 9277275 9288050 9298800 9309600 9542340 9654400 9775080 9895760 9918720 10019457 10031094 10178496 10182375 10332000 10344000 10402616 10426752 10602600 10627200 10861200 11132730 11145660 11171520 11309440 11450808 11585280 11623500 11637000 11702943 11808000 11874912 11888704 11927925 12068000 12218850 12369700 12398400 12412800 12723120 13003270 13033440 13253250 13284000 13359276 13374792 13571328 13576500 13776000 13792000 13932075 13964400 14136800 14313510 14481600 14843640 14860880 14878080 14895360 15046641 15232402 15267744 15462125 15498000 15516000 15603924 15640128 15833216 15903900 16291800 16531200 16699095 16718490 16964160 17377920 17455500 17671000 17712000 17812368 17833056 18102000 18144000 18554550 18576100 18597600 18619200 19084680 19308800 19504905 19550160 19791520 19879875 20038914 20062188 20356992 20364750 20664000 20688000 20805232 20853504 21205200 21254400 21722400 22265460 22291320 22343040 22618880 22848603 22901616 23220125 23247000 23274000 23405886 23749824 23777408 23855850 24136000 24437700 24739400 24796800 24825600 25077735 25446240 26006540 26066880 26506500 26568000 26718552 26749584 27153000 27552000 27831825 27864150 27928800 28273600 28627020 28963200 29687280 29721760 29756160 30093282 30464804 30535488 30547125 30924250 30996000 31032000 31207848 31280256 31666432 31807800 32508175 32583600 33398190 33436980 33928320 34755840 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219346588800 224696505600 230313918240 239910331500 240746256000 243718432000 246764912400 255904353600 263215906560 274183236000 276376701888 280870632000 287892397800 307085224320 308456140500 319880442000 320622624000 329019883200 337044758400 341205804800 345470877360 359865497250 365577648000 368502269184 374494176000 383856530400 394823859840 411274854000 421305948000 426507256000 431838596700 438693177600 460627836480 479820663000 481492512000 493529824800 511808707200 539798245875 548366472000 552753403776 561741264000 575784795600 614170448640 616912281000 639760884000 658039766400 674089516800 690941754720 719730994500 731155296000 767713060800 789647719680 822549708000 842611896000 853014512000 863677193400 921255672960 959641326000 987059649600 1023617414400 1079596491750 1096732944000 1105506807552 1123482528000 1151569591200 1233824562000 1279521768000 1316079532800 1381883509440 1439461989000 1535426121600 1645099416000 1685223792000 1706029024000 1727354386800 1842511345920 1919282652000 1974119299200 2159192983500 2193465888000 2303139182400 2467649124000 2559043536000 2763767018880 2878923978000 3070852243200 3290198832000 3370447584000 3454708773600 3838565304000 3948238598400 4318385967000 4606278364800 4935298248000 5118087072000 5527534037760 5757847956000 6580397664000 6909417547200 7677130608000 8636771934000 9212556729600 9870596496000 11515695912000 13818835094400 15354261216000 17273543868000 19741192992000 23031391824000 27637670188800 34547087736000 46062783648000 69094175472000 138188350944000
- Sum of all divisors σ(n): 603439167659328
- Sum of proper divisors (its aliquot sum) s(n): 465250816715328
- 138188350944000 is an abundant number, because the sum of its proper divisors (465250816715328) is greater than itself. Its abundance is 327062465771328
Bases of 138188350944000
- Binary: 111110110101110011110111001000111110011000000002
- Hexadecimal: 0x7DAE7B91F300
- Base-36: 1CZEUO8G00
Squares and roots of 138188350944000
- 138188350944000 squared (1381883509440002) is 19096020336622105691136000000
- 138188350944000 cubed (1381883509440003) is 2638847559910896556754961238032384000000000
-
The
square root of 138188350944000 is 11755354.1394549233 -
The
cube root of 138188350944000 is 51699.9922610595
Scales and comparisons
How big is 138188350944000?- 138,188,350,944,000 seconds is equal to 4,393,962 years, 6 weeks.
-
To count from 1 to 138,188,350,944,000 would take you about ten million, nine hundred eighty-four thousand, nine hundred 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 138188350944000 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138188350944000
- 138188350944000 backwards is 000449053881831
- 138188350944000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138188350944000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138188350944000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138188350944000/
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The information we have on file for 138188350944000 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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