138348912944000
138,348,912,944,000 is an even composite number composed of five prime numbers multiplied together.
138348912944000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138348912944000:
27 × 53 × 11 × 234 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 23 × 23 × 23 × 23 × 53 × 53)See below for interesting mathematical facts about the number 138348912944000 from the Numbermatics database.
Names of 138348912944000
- Cardinal: 138348912944000 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, nine hundred twelve million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38348912944 × 1014
Factors of 138348912944000
Divisors of 138348912944000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 53 55 64 80 88 92 100 106 110 115 125 128 160 176 184 200 212 220 230 250 253 265 275 320 352 368 400 424 440 460 500 506 529 530 550 575 583 640 704 736 800 848 880 920 1000 1012 1058 1060 1100 1150 1166 1219 1265 1325 1375 1408 1472 1600 1696 1760 1840 2000 2024 2116 2120 2200 2300 2332 2438 2530 2645 2650 2750 2809 2875 2915 2944 3200 3392 3520 3680 4000 4048 4232 4240 4400 4600 4664 4876 5060 5290 5300 5500 5618 5750 5819 5830 6095 6325 6625 6784 7040 7360 8000 8096 8464 8480 8800 9200 9328 9752 10120 10580 10600 11000 11236 11500 11638 11660 12167 12190 12650 13225 13250 13409 14045 14575 14720 16000 16192 16928 16960 17600 18400 18656 19504 20240 21160 21200 22000 22472 23000 23276 23320 24334 24380 25300 26450 26500 26818 28037 28090 29095 29150 30475 30899 31625 32384 33856 33920 35200 36800 37312 39008 40480 42320 42400 44000 44944 46000 46552 46640 48668 48760 50600 52900 53000 53636 56074 56180 58190 58300 60835 60950 61798 63250 64607 66125 67045 67712 70225 72875 73600 74624 78016 80960 84640 84800 88000 89888 92000 93104 93280 97336 97520 101200 105800 106000 107272 112148 112360 116380 116600 121670 121900 123596 126500 129214 132250 133837 134090 140185 140450 145475 145750 152375 154495 156032 161920 169280 169600 176000 179776 184000 186208 186560 194672 195040 202400 211600 212000 214544 224296 224720 232760 233200 243340 243800 247192 253000 258428 264500 267674 268180 279841 280370 280900 290950 291500 304175 304750 308407 308990 323035 335225 338560 351125 359552 368000 372416 373120 389344 390080 404800 423200 424000 429088 448592 449440 465520 466400 486680 487600 494384 506000 516856 529000 535348 536360 559682 560740 561800 581900 583000 608350 609500 616814 617980 644851 646070 669185 670450 700925 702250 710677 727375 744832 772475 778688 780160 809600 846400 848000 858176 897184 898880 931040 932800 973360 975200 988768 1012000 1033712 1058000 1070696 1072720 1119364 1121480 1123600 1163800 1166000 1216700 1219000 1233628 1235960 1289702 1292140 1338370 1340900 1399205 1401850 1404500 1421354 1454750 1485961 1520875 1542035 1544950 1557376 1615175 1676125 1692800 1716352 1794368 1797760 1862080 1865600 1946720 1950400 1977536 2024000 2067424 2116000 2141392 2145440 2238728 2242960 2247200 2327600 2332000 2433400 2438000 2467256 2471920 2579404 2584280 2676740 2681800 2798410 2803700 2809000 2842708 2909500 2971922 3041750 3078251 3084070 3089900 3224255 3230350 3345925 3352250 3504625 3553385 3588736 3724160 3862375 3893440 3900800 3955072 4048000 4134848 4232000 4282784 4290880 4477456 4485920 4494400 4655200 4664000 4866800 4876000 4934512 4943840 5158808 5168560 5353480 5363600 5596820 5607400 5618000 5685416 5819000 5943844 6083500 6156502 6168140 6179800 6448510 6460700 6691850 6704500 6996025 7009250 7093361 7106770 7429805 7710175 7724750 7786880 8075875 8269696 8464000 8565568 8581760 8954912 8971840 8988800 9310400 9328000 9733600 9752000 9869024 9887680 10317616 10337120 10706960 10727200 11193640 11214800 11236000 11370832 11638000 11887688 12167000 12313004 12336280 12359600 12897020 12921400 13383700 13409000 13992050 14018500 14186722 14213540 14831573 14859610 15391255 15420350 15449500 16121275 16151750 16345571 16729625 17131136 17766925 17909824 17943680 18620800 19467200 19504000 19738048 19775360 20635232 20674240 21413920 21454400 22387280 22429600 22472000 22741664 23276000 23775376 24334000 24626008 24672560 24719200 25794040 25842800 26767400 26818000 27984100 28037000 28373444 28427080 29663146 29719220 30782510 30840700 30899000 32242550 32303500 32691142 33459250 34177103 34980125 35466805 35533850 35819648 37149025 38550875 38934400 39476096 41270464 41348480 42827840 42908800 44774560 44859200 44944000 45483328 46552000 47550752 48668000 49252016 49345120 49438400 51588080 51685600 53534800 53636000 55968200 56074000 56746888 56854160 59326292 59438440 61565020 61681400 61798000 64485100 64607000 65382284 66918500 68354206 69960250 70933610 71067700 74157865 74298050 76956275 77101750 80606375 81727855 82540928 85655680 88834625 89549120 89718400 90966656 93104000 95101504 97336000 98504032 98690240 98876800 103176160 103371200 107069600 107272000 111936400 112148000 113493776 113708320 118652584 118876880 123130040 123362800 123596000 128970200 129214000 130764568 133837000 136708412 139920500 141867220 142135400 148315730 148596100 153912550 154203500 161212750 163147303 163455710 170885515 177334025 177669250 179098240 185745125 190203008 194672000 197008064 197380480 206352320 206742400 214139200 214544000 223872800 224296000 226987552 227416640 237305168 237753760 246260080 246725600 247192000 257940400 258428000 261529136 267674000 273416824 279841000 283734440 284270800 296631460 297192200 307825100 308407000 322425500 326294606 326911420 341771030 354668050 355338500 370789325 371490250 375948133 384781375 394016128 408639275 412704640 428278400 447745600 448592000 453975104 454833280 474610336 475507520 492520160 493451200 494384000 515880800 516856000 523058272 535348000 546833648 559682000 567468880 568541600 593262920 594384400 615650200 616814000 644851000 652589212 653822840 683542060 709336100 710677000 741578650 742980500 751896266 769562750 786073369 815736515 817278550 854427575 886670125 895491200 907950208 949220672 951015040 985040320 986902400 1031761600 1033712000 1046116544 1070696000 1093667296 1119364000 1134937760 1137083200 1186525840 1188768800 1231300400 1233628000 1289702000 1305178424 1307645680 1367084120 1418672200 1421354000 1483157300 1485961000 1503792532 1539125500 1572146738 1631473030 1634557100 1708855150 1773340250 1853946625 1879740665 1898441344 1970080640 2043196375 2063523200 2092233088 2141392000 2187334592 2238728000 2269875520 2274166400 2373051680 2377537600 2462600800 2467256000 2579404000 2610356848 2615291360 2734168240 2837344400 2842708000 2966314600 2971922000 3007585064 3078251000 3144293476 3262946060 3269114200 3417710300 3546680500 3707893250 3759481330 3930366845 4078682575 4086392750 4272137875 4374669184 4477456000 4539751040 4746103360 4755075200 4925201600 4934512000 5158808000 5220713696 5230582720 5468336480 5674688800 5685416000 5932629200 5943844000 6015170128 6156502000 6288586952 6525892120 6538228400 6835420600 7093361000 7415786500 7518962660 7860733690 8157365150 8172785500 8544275750 8646807059 9398703325 9492206720 9850403200 10317616000 10441427392 10461165440 10936672960 11349377600 11370832000 11865258400 11887688000 12030340256 12313004000 12577173904 13051784240 13076456800 13670841200 14186722000 14831573000 15037925320 15721467380 16314730300 16345571000 17088551500 17293614118 18797406650 19651834225 20393412875 20882854784 21873345920 22698755200 23730516800 23775376000 24060680512 24626008000 25154347808 26103568480 26152913600 27341682400 28373444000 29663146000 30075850640 31442934760 32629460600 32691142000 34177103000 34587228236 37594813300 39303668450 40786825750 43234035295 46993516625 47461033600 48121361024 49252016000 50308695616 52207136960 52305827200 54683364800 56746888000 59326292000 60151701280 62885869520 65258921200 65382284000 68354206000 69174456472 75189626600 78607336900 81573651500 86468070590 93987033250 98259171125 100617391232 104414273920 109366729600 113493776000 118652584000 120303402560 125771739040 130517842400 130764568000 136708412000 138348912944 150379253200 157214673800 163147303000 172936141180 187974066500 196518342250 216170176475 237305168000 240606805120 251543478080 261035684800 261529136000 273416824000 276697825888 300758506400 314429347600 326294606000 345872282360 375948133000 393036684500 432340352950 503086956160 522071369600 546833648000 553395651776 601517012800 628858695200 652589212000 691744564720 751896266000 786073369000 864680705900 1080850882375 1106791303552 1203034025600 1257717390400 1305178424000 1383489129440 1503792532000 1572146738000 1729361411800 2161701764750 2515434780800 2610356848000 2766978258880 3007585064000 3144293476000 3458722823600 4323403529500 5533956517760 6015170128000 6288586952000 6917445647200 8646807059000 12577173904000 13834891294400 17293614118000 27669782588800 34587228236000 69174456472000 138348912944000
- Sum of all divisors σ(n): 399837758982480
- Sum of proper divisors (its aliquot sum) s(n): 261488846038480
- 138348912944000 is an abundant number, because the sum of its proper divisors (261488846038480) is greater than itself. Its abundance is 123139933094480
Bases of 138348912944000
- Binary: 111110111010011110111011100111110100011100000002
- Hexadecimal: 0x7DD3DDCFA380
- Base-36: 1D1GM2PC3K
Squares and roots of 138348912944000
- 138348912944000 squared (1383489129440002) is 19140421712786490747136000000
- 138348912944000 cubed (1383489129440003) is 2648056537253745580034779981328384000000000
-
The
square root of 138348912944000 is 11762181.4704586155 -
The
cube root of 138348912944000 is 51720.0080370085
Scales and comparisons
How big is 138348912944000?- 138,348,912,944,000 seconds is equal to 4,399,067 years, 25 weeks, 3 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,348,912,944,000 would take you about ten million, nine hundred ninety-seven thousand, six hundred sixty-eight 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 138348912944000 cubic inches would be around 4310 feet tall.
Recreational maths with 138348912944000
- 138348912944000 backwards is 000449219843831
- The number of decimal digits it has is: 15
- The sum of 138348912944000's digits is 56
- More coming soon!
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The information we have on file for 138348912944000 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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