138317944016000
138,317,944,016,000 is an even composite number composed of six prime numbers multiplied together.
138317944016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138317944016000:
27 × 53 × 73 × 17 × 181 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 181 × 8191)See below for interesting mathematical facts about the number 138317944016000 from the Numbermatics database.
Names of 138317944016000
- Cardinal: 138317944016000 can be written as One hundred thirty-eight trillion, three hundred seventeen billion, nine hundred forty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 1.38317944016 × 1014
Factors of 138317944016000
Divisors of 138317944016000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 125 128 136 140 160 170 175 181 196 200 224 238 245 250 272 280 320 340 343 350 362 392 400 425 448 476 490 500 544 560 595 640 680 686 700 724 784 800 833 850 875 896 905 952 980 1000 1088 1120 1190 1225 1267 1360 1372 1400 1448 1568 1600 1666 1700 1715 1750 1810 1904 1960 2000 2125 2176 2240 2380 2450 2534 2720 2744 2800 2896 2975 3077 3136 3200 3332 3400 3430 3500 3620 3808 3920 4000 4165 4250 4480 4525 4760 4900 5068 5440 5488 5600 5792 5831 5950 6125 6154 6272 6335 6664 6800 6860 7000 7240 7616 7840 8000 8191 8330 8500 8575 8869 9050 9520 9800 10136 10880 10976 11200 11584 11662 11900 12250 12308 12670 13328 13600 13720 14000 14480 14875 15232 15385 15680 16000 16382 16660 17000 17150 17738 18100 19040 19600 20272 20825 21539 21952 22400 22625 23168 23324 23800 24500 24616 25340 26656 27200 27440 28000 28960 29155 29750 30770 31360 31675 32764 33320 34000 34300 35476 36200 38080 39200 40544 40955 41650 42875 43078 43904 44345 45250 46648 47600 49000 49232 50680 53312 54400 54880 56000 57337 57920 58310 59500 61540 62083 63350 65528 66640 68000 68600 70952 72400 76160 76925 78400 81088 81910 83300 85750 86156 88690 90500 93296 95200 98000 98464 101360 104125 106624 107695 109760 112000 114674 115840 116620 119000 123080 124166 126700 131056 133280 136000 137200 139247 141904 144800 145775 150773 153850 156800 158375 162176 163820 166600 171500 172312 177380 181000 186592 190400 196000 196928 202720 204775 208250 215390 219520 221725 229348 233240 238000 246160 248332 253400 262112 266560 272000 274400 278494 283808 286685 289600 291550 301546 307700 310415 316750 327640 333200 343000 344624 354760 362000 373184 380800 384625 392000 393856 401359 405440 409550 416500 430780 443450 458696 466480 476000 492320 496664 506800 524224 533120 538475 548800 556988 567616 573370 579200 583100 603092 615400 620830 633500 655280 666400 686000 689248 696235 709520 724000 728875 746368 753865 769250 784000 802718 810880 819100 833000 861560 886900 917392 932960 952000 974729 984640 993328 1013600 1023875 1048448 1055411 1076950 1097600 1108625 1113976 1135232 1146740 1166200 1206184 1230800 1241660 1267000 1310560 1332800 1372000 1378496 1392470 1419040 1433425 1448000 1457750 1482571 1507730 1538500 1552075 1605436 1638200 1666000 1723120 1773800 1834784 1865920 1904000 1949458 1969280 1986656 2006795 2027200 2047750 2110822 2153900 2217250 2227952 2293480 2332400 2412368 2461600 2483320 2534000 2621120 2665600 2692375 2744000 2756992 2784940 2809513 2838080 2866850 2896000 2915500 2965142 3015460 3077000 3104150 3210872 3276400 3332000 3446240 3481175 3547600 3669568 3731840 3769325 3898916 3973312 4013590 4054400 4095500 4221644 4307800 4434500 4455904 4586960 4664800 4824736 4873645 4923200 4966640 5068000 5242240 5277055 5384750 5488000 5569880 5619026 5676160 5733700 5831000 5930284 6030920 6154000 6208300 6421744 6552800 6664000 6823103 6892480 6962350 7095200 7167125 7339136 7412855 7538650 7760375 7797832 7946624 8027180 8191000 8443288 8615600 8869000 8911808 9173920 9329600 9649472 9747290 9846400 9933280 10033975 10136000 10377997 10554110 10769500 11139760 11238052 11467400 11662000 11860568 12061840 12308000 12416600 12843488 13105600 13328000 13646206 13784960 13924700 14047565 14190400 14334250 14825710 15077300 15520750 15595664 16054360 16382000 16886576 17231200 17405875 17738000 17823616 18347840 18659200 18846625 19298944 19494580 19866560 20067950 20272000 20755994 21108220 21539000 22279520 22476104 22934800 23324000 23721136 24123680 24368225 24616000 24833200 25203707 25686976 26211200 26385275 27292412 27849400 28095130 28380800 28668500 29651420 30154600 31041500 31191328 32108720 32764000 33773152 34115515 34462400 34811750 35476000 36695680 37064275 37693250 38989160 39733120 40135900 41511988 42216440 43078000 44559040 44952208 45869600 46648000 47442272 47761721 48247360 48736450 49232000 49666400 50169875 50407414 51373952 51889985 52770550 54584824 55698800 56190260 57337000 59302840 60309200 62083000 62382656 64217440 65528000 67546304 68231030 68924800 69623500 70237825 70952000 72645979 74128550 75386500 77978320 80271800 83023976 84432880 86156000 89118080 89904416 91739200 93296000 94884544 95523442 96494720 97472900 99332800 100339750 100814828 103779970 105541100 109169648 111397600 112380520 114674000 118605680 120618400 121841125 124166000 124765312 126018535 128434880 131056000 131926375 135092608 136462060 139247000 140475650 141904000 145291958 148257100 150773000 155956640 160543600 166047952 168865760 170577575 172312000 176425949 179808832 183478400 185321375 189769088 191046884 194945800 198665600 200679500 201629656 207559940 211082200 218339296 222795200 224761040 229348000 237211360 238808605 241236800 243682250 248332000 252037070 256869760 259449925 263852750 272924120 278494000 280951300 290583916 296514200 301546000 311913280 321087200 332095904 337731520 341155150 344624000 351189125 352851898 359617664 363229895 370642750 382093768 389891600 401359000 403259312 415119880 422164400 436678592 445590400 449522080 458696000 474422720 477617210 482473600 487364500 496664000 504074140 508521853 518899850 527705500 545848240 556988000 561902600 581167832 593028400 603092000 623826560 630092675 642174400 664191808 675463040 682310300 702378250 705703796 726459790 741285500 764187536 779783200 802718000 806518624 830239760 844328800 852887875 873357184 882129745 899044160 917392000 948845440 955234420 974729000 993328000 1008148280 1017043706 1037799700 1055411000 1091696480 1113976000 1123805200 1162335664 1186056800 1194043025 1206184000 1234981643 1260185350 1284348800 1297249625 1328383616 1364620600 1404756500 1411407592 1452919580 1482571000 1528375072 1559566400 1605436000 1613037248 1660479520 1688657600 1705775750 1764259490 1798088320 1816149475 1910468840 1949458000 2016296560 2034087412 2075599400 2110822000 2183392960 2227952000 2247610400 2324671328 2372113600 2388086050 2412368000 2469963286 2520370700 2542609265 2594499250 2729241200 2809513000 2822815184 2905839160 2965142000 3056750144 3119132800 3150463375 3210872000 3226074496 3320959040 3377315200 3411551500 3528518980 3632298950 3820937680 3898916000 4032593120 4068174824 4151198800 4221644000 4366785920 4410648725 4495220800 4649342656 4744227200 4776172100 4939926572 5040741400 5085218530 5188998500 5458482400 5619026000 5645630368 5811678320 5930284000 5970215125 6113500288 6174908215 6300926750 6421744000 6641918080 6823103000 7057037960 7264597900 7641875360 7797832000 8065186240 8136349648 8302397600 8443288000 8644871501 8821297450 8990441600 9080747375 9298685312 9552344200 9879853144 10081482800 10170437060 10377997000 10916964800 11238052000 11291260736 11623356640 11860568000 11940430250 12349816430 12601853500 12713046325 13646206000 14114075920 14529195800 15283750720 15595664000 16130372480 16272699296 16604795200 16886576000 17289743002 17642594900 18161494750 19104688400 19759706288 20162965600 20340874120 20755994000 21833929600 22053243625 22476104000 22582521472 23246713280 23721136000 23880860500 24699632860 25203707000 25426092650 27292412000 28228151840 29058391600 30567501440 30874541075 32545398592 33209590400 34579486004 35285189800 36322989500 38209376800 39519412576 40325931200 40681748240 41511988000 43224357505 44106487250 44952208000 46493426560 47761721000 49399265720 50407414000 50852185300 54584824000 56456303680 58116783200 61749082150 63565231625 65090797184 69158972008 70570379600 72645979000 76418753600 79038825152 80651862400 81363496480 83023976000 86448715010 88212974500 95523442000 98798531440 100814828000 101704370600 109169648000 112912607360 116233566400 123498164300 127130463250 138317944016 141140759200 145291958000 152837507200 154372705375 158077650304 162726992960 166047952000 172897430020 176425949000 191046884000 197597062880 201629656000 203408741200 216121787525 232467132800 246996328600 254260926500 276635888032 282281518400 290583916000 308745410750 325453985920 345794860040 352851898000 382093768000 395194125760 403259312000 406817482400 432243575050 493992657200 508521853000 553271776064 564563036800 581167832000 617490821500 691589720080 705703796000 764187536000 790388251520 813634964800 864487150100 987985314400 1017043706000 1080608937625 1106543552128 1162335664000 1234981643000 1383179440160 1411407592000 1627269929600 1728974300200 1975970628800 2034087412000 2161217875250 2469963286000 2766358880320 2822815184000 3457948600400 3951941257600 4068174824000 4322435750500 4939926572000 5532717760640 6915897200800 8136349648000 8644871501000 9879853144000 13831794401600 17289743002000 19759706288000 27663588803200 34579486004000 69158972008000 138317944016000
- Sum of all divisors σ(n): 427030216704000
- Sum of proper divisors (its aliquot sum) s(n): 288712272688000
- 138317944016000 is an abundant number, because the sum of its proper divisors (288712272688000) is greater than itself. Its abundance is 150394328672000
Bases of 138317944016000
- Binary: 111110111001100101001111110101101001100100000002
- Hexadecimal: 0x7DCCA7EB4C80
- Base-36: 1D12DWLQBK
Squares and roots of 138317944016000
- 138317944016000 squared (1383179440160002) is 19131853636813310208256000000
- 138317944016000 cubed (1383179440160003) is 2646278660259049438029194708996096000000000
-
The
square root of 138317944016000 is 11760864.9348591705 -
The
cube root of 138317944016000 is 51716.1486337589
Scales and comparisons
How big is 138317944016000?- 138,317,944,016,000 seconds is equal to 4,398,082 years, 40 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,317,944,016,000 would take you about ten million, nine hundred ninety-five thousand, two hundred six 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 138317944016000 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138317944016000
- 138317944016000 backwards is 000610449713831
- The number of decimal digits it has is: 15
- The sum of 138317944016000's digits is 47
- More coming soon!
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The information we have on file for 138317944016000 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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