138294983680000
138,294,983,680,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138294983680000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
138294983680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138294983680000:
213 × 54 × 7 × 17 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 17 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138294983680000 from the Numbermatics database.
Names of 138294983680000
- Cardinal: 138294983680000 can be written as One hundred thirty-eight trillion, two hundred ninety-four billion, nine hundred eighty-three million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3829498368 × 1014
Factors of 138294983680000
Divisors of 138294983680000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 61 64 68 70 80 85 100 112 119 122 125 128 136 140 160 170 175 200 224 238 244 250 256 272 280 305 320 340 350 400 425 427 448 476 488 500 512 544 560 595 610 625 640 680 700 800 850 854 875 896 952 976 1000 1024 1037 1088 1120 1190 1220 1250 1280 1360 1400 1525 1600 1700 1708 1750 1792 1904 1952 2000 2048 2074 2125 2135 2176 2240 2380 2440 2500 2560 2720 2800 2975 3050 3200 3400 3416 3500 3584 3721 3808 3904 4000 4096 4148 4250 4270 4352 4375 4480 4760 4880 5000 5120 5185 5440 5600 5950 6100 6400 6800 6832 7000 7168 7259 7442 7616 7625 7808 8000 8192 8296 8500 8540 8704 8750 8960 9520 9760 10000 10240 10370 10625 10675 10880 11200 11900 12200 12800 13600 13664 14000 14336 14518 14875 14884 15232 15250 15616 16000 16592 17000 17080 17408 17500 17920 18605 19040 19520 20000 20480 20740 21250 21350 21760 22400 23800 24400 25600 25925 26047 27200 27328 28000 28672 29036 29750 29768 30464 30500 31232 32000 33184 34000 34160 34816 35000 35840 36295 37210 38080 38125 39040 40000 40960 41480 42500 42700 43520 44800 47600 48800 51200 51850 52094 53375 54400 54656 56000 57344 58072 59500 59536 60928 61000 62464 63257 64000 66368 68000 68320 69632 70000 71680 72590 74375 74420 76160 76250 78080 80000 82960 85000 85400 87040 89600 93025 95200 97600 102400 103700 104188 106750 108800 109312 112000 116144 119000 119072 121856 122000 124928 126514 128000 129625 130235 132736 136000 136640 139264 140000 143360 145180 148750 148840 152320 152500 156160 160000 165920 170000 170800 174080 179200 181475 186050 190400 195200 204800 207400 208376 213500 217600 218624 224000 226981 232288 238000 238144 243712 244000 249856 253028 256000 259250 260470 265472 266875 272000 273280 280000 286720 290360 297500 297680 304640 305000 312320 316285 320000 331840 340000 341600 348160 358400 362950 372100 380800 390400 414800 416752 427000 435200 437248 442799 448000 453962 464576 465125 476000 476288 487424 488000 499712 506056 512000 518500 520940 530944 533750 544000 546560 560000 580720 595000 595360 609280 610000 624640 632570 640000 648125 651175 663680 680000 683200 696320 716800 725900 744200 761600 780800 829600 833504 854000 870400 874496 885598 896000 907375 907924 929152 930250 952000 952576 974848 976000 1012112 1024000 1037000 1041880 1061888 1067500 1088000 1093120 1120000 1134905 1161440 1190000 1190720 1218560 1220000 1249280 1265140 1280000 1296250 1302350 1327360 1360000 1366400 1433600 1451800 1488400 1523200 1561600 1581425 1588867 1659200 1667008 1708000 1740800 1748992 1771196 1792000 1814750 1815848 1858304 1860500 1904000 1905152 1952000 2024224 2074000 2083760 2123776 2135000 2176000 2186240 2213995 2240000 2269810 2322880 2325625 2380000 2381440 2437120 2440000 2498560 2530280 2560000 2592500 2604700 2654720 2720000 2732800 2903600 2976800 3046400 3123200 3162850 3177734 3255875 3318400 3334016 3416000 3481600 3497984 3542392 3584000 3629500 3631696 3716608 3721000 3808000 3810304 3858677 3904000 4048448 4148000 4167520 4247552 4270000 4352000 4372480 4427990 4480000 4536875 4539620 4645760 4651250 4760000 4762880 4874240 4880000 5060560 5120000 5185000 5209400 5309440 5440000 5465600 5674525 5807200 5953600 6092800 6246400 6325700 6355468 6511750 6636800 6668032 6832000 7084784 7168000 7259000 7263392 7433216 7442000 7616000 7620608 7717354 7808000 7907125 7944335 8096896 8296000 8335040 8495104 8540000 8704000 8744960 8855980 8960000 9073750 9079240 9291520 9302500 9520000 9525760 9760000 10121120 10370000 10418800 10618880 10880000 10931200 11069975 11349050 11614400 11907200 12185600 12492800 12651400 12710936 13023500 13273600 13336064 13664000 14169568 14518000 14526784 14866432 14884000 15232000 15241216 15434708 15616000 15814250 15888670 16193792 16279375 16592000 16670080 17080000 17408000 17489920 17711960 17920000 18147500 18158480 18583040 18605000 19040000 19051520 19293385 19520000 20242240 20740000 20837600 21237760 21760000 21862400 22139950 22698100 23228800 23814400 24371200 25302800 25421872 26047000 26547200 26672128 27010739 27328000 28339136 28372625 29036000 29053568 29732864 29768000 30464000 30482432 30869416 31232000 31628500 31777340 32387584 32558750 33184000 33340160 34160000 35423920 35840000 36295000 36316960 37166080 37210000 38080000 38103040 38586770 39040000 39535625 39721675 40484480 41480000 41675200 42475520 43520000 43724800 44279900 45396200 46457600 47628800 50605600 50843744 52094000 53094400 53344256 54021478 54656000 55349875 56678272 56745250 58072000 58107136 59465728 59536000 60928000 61738832 62464000 63257000 63554680 64775168 65117500 66368000 66680320 68320000 70847840 72590000 72633920 74332160 74420000 76160000 76206080 77173540 78080000 79071250 79443350 80968960 82960000 83350400 87040000 87449600 88559800 90792400 92915200 95257600 96466925 101211200 101687488 104188000 106188800 106688512 108042956 109312000 110699750 113356544 113490500 116144000 116214272 119072000 121856000 123477664 126514000 127109360 129550336 130235000 132736000 133360640 135053695 136640000 141695680 141863125 145180000 145267840 148664320 148840000 152320000 152412160 154347080 156160000 158142500 158886700 161937920 165920000 166700800 177119600 181584800 185830400 190515200 192933850 198608375 202422400 203374976 208376000 212377600 213377024 216085912 218624000 221399500 226713088 226981000 232288000 232428544 238144000 246955328 253028000 254218720 259100672 260470000 265472000 266721280 270107390 273280000 276749375 283391360 283726250 290360000 290535680 297328640 297680000 304640000 308694160 312320000 316285000 317773400 323875840 331840000 333401600 354239200 363169600 371660800 381030400 385867700 397216750 404844800 406749952 416752000 432171824 437248000 442799000 453426176 453962000 464576000 464857088 476288000 482334625 493910656 506056000 508437440 518201344 520940000 530944000 533442560 540214780 546560000 553498750 566782720 567452500 580720000 581071360 595360000 609280000 617388320 632570000 635546800 647751680 663680000 666803200 675268475 708478400 726339200 743321600 762060800 771735400 794433500 809689600 813499904 833504000 864343648 885598000 906852352 907924000 929152000 929714176 952576000 964669250 987821312 993041875 1012112000 1016874880 1041880000 1061888000 1066885120 1080429560 1093120000 1106997500 1133565440 1134905000 1161440000 1162142720 1190720000 1234776640 1265140000 1271093600 1295503360 1327360000 1333606400 1350536950 1416956800 1452678400 1486643200 1543470800 1588867000 1619379200 1626999808 1667008000 1728687296 1771196000 1813704704 1815848000 1858304000 1859428352 1905152000 1929338500 1975642624 1986083750 2024224000 2033749760 2083760000 2160859120 2186240000 2213995000 2267130880 2269810000 2322880000 2324285440 2381440000 2411673125 2469553280 2530280000 2542187200 2591006720 2654720000 2667212800 2701073900 2833913600 2905356800 3086941600 3177734000 3238758400 3253999616 3334016000 3376342375 3457374592 3542392000 3627409408 3631696000 3716608000 3810304000 3858677000 3951285248 3972167500 4048448000 4067499520 4167520000 4321718240 4427990000 4534261760 4539620000 4645760000 4648570880 4762880000 4823346250 4939106560 5060560000 5084374400 5309440000 5334425600 5402147800 5667827200 5810713600 6173883200 6355468000 6477516800 6507999232 6668032000 6752684750 6914749184 7084784000 7263392000 7433216000 7717354000 7902570496 7944335000 8096896000 8134999040 8335040000 8643436480 8855980000 9068523520 9079240000 9291520000 9297141760 9525760000 9646692500 9878213120 10121120000 10168748800 10804295600 11335654400 11621427200 12347766400 12710936000 12955033600 13015998464 13336064000 13505369500 13829498368 14169568000 14526784000 15434708000 15805140992 15888670000 16193792000 16269998080 16670080000 16881711875 17286872960 17711960000 18137047040 18158480000 18583040000 19051520000 19293385000 19756426240 20242240000 20337497600 21608591200 22671308800 23242854400 24695532800 25421872000 26672128000 27010739000 27658996736 28339136000 29053568000 30869416000 31610281984 31777340000 32387584000 32539996160 33340160000 33763423750 34573745920 35423920000 36316960000 37166080000 38586770000 39512852480 40484480000 40674995200 43217182400 45342617600 46485708800 49391065600 50843744000 54021478000 55317993472 56678272000 58107136000 61738832000 63554680000 64775168000 65079992320 66680320000 67526847500 69147491840 70847840000 72633920000 77173540000 79025704960 80968960000 81349990400 86434364800 90685235200 98782131200 101687488000 108042956000 110635986944 113356544000 116214272000 123477664000 127109360000 133360640000 135053695000 138294983680 141695680000 145267840000 154347080000 158051409920 161937920000 162699980800 172868729600 197564262400 203374976000 216085912000 221271973888 226713088000 232428544000 246955328000 254218720000 270107390000 276589967360 283391360000 290535680000 308694160000 323875840000 325399961600 345737459200 395128524800 406749952000 432171824000 453426176000 493910656000 508437440000 540214780000 553179934720 566782720000 581071360000 617388320000 691474918400 790257049600 813499904000 864343648000 987821312000 1016874880000 1080429560000 1106359869440 1133565440000 1162142720000 1234776640000 1382949836800 1626999808000 1728687296000 1975642624000 2033749760000 2160859120000 2267130880000 2469553280000 2765899673600 3457374592000 3951285248000 4067499520000 4321718240000 4939106560000 5531799347200 6914749184000 8134999040000 8643436480000 9878213120000 13829498368000 17286872960000 19756426240000 27658996736000 34573745920000 69147491840000 138294983680000
- Sum of all divisors σ(n): 425182142011968
- Sum of proper divisors (its aliquot sum) s(n): 286887158331968
- 138294983680000 is an abundant number, because the sum of its proper divisors (286887158331968) is greater than itself. Its abundance is 148592174651968
Bases of 138294983680000
- Binary: 111110111000111010011110110000001100000000000002
- Hexadecimal: 0x7DC74F606000
- Base-36: 1D0RU6M1OG
Squares and roots of 138294983680000
- 138294983680000 squared (1382949836800002) is 19125502511051466342400000000
- 138294983680000 cubed (1382949836800003) is 2644961057637661557462277292032000000000000
-
The
square root of 138294983680000 is 11759888.7613786553 -
The
cube root of 138294983680000 is 51713.2869036909
Scales and comparisons
How big is 138294983680000?- 138,294,983,680,000 seconds is equal to 4,397,352 years, 36 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,294,983,680,000 would take you about ten million, nine hundred ninety-three thousand, three hundred eighty-one 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 138294983680000 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138294983680000
- 138294983680000 backwards is 000086389492831
- 138294983680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138294983680000's digits is 61
- More coming soon!
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The information we have on file for 138294983680000 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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