138368459320000
138,368,459,320,000 is an even composite number composed of six prime numbers multiplied together.
138368459320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 138368459320000:
26 × 54 × 7 × 132 × 1132 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 113 × 113 × 229)See below for interesting mathematical facts about the number 138368459320000 from the Numbermatics database.
Names of 138368459320000
- Cardinal: 138368459320000 can be written as One hundred thirty-eight trillion, three hundred sixty-eight billion, four hundred fifty-nine million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3836845932 × 1014
Factors of 138368459320000
Divisors of 138368459320000
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 113 125 130 140 160 169 175 182 200 208 224 226 229 250 260 280 320 325 338 350 364 400 416 448 452 455 458 500 520 560 565 625 650 676 700 728 791 800 832 845 875 904 910 916 1000 1040 1120 1130 1145 1183 1250 1300 1352 1400 1456 1469 1582 1600 1603 1625 1690 1750 1808 1820 1832 2000 2080 2240 2260 2275 2290 2366 2500 2600 2704 2800 2825 2912 2938 2977 3164 3206 3250 3380 3500 3616 3640 3664 3955 4000 4160 4225 4375 4520 4550 4580 4732 5000 5200 5408 5600 5650 5725 5824 5876 5915 5954 6328 6412 6500 6760 7000 7232 7280 7328 7345 7910 8000 8015 8125 8450 8750 9040 9100 9160 9464 10000 10283 10400 10816 11200 11300 11375 11450 11752 11830 11908 12656 12769 12824 13000 13520 14000 14125 14560 14656 14690 14885 15820 16030 16250 16900 17500 18080 18200 18320 18928 19097 19775 20000 20566 20800 20839 21125 22600 22750 22900 23504 23660 23816 25312 25538 25648 25877 26000 27040 28000 28250 28625 29120 29380 29575 29770 31640 32060 32500 33800 35000 36160 36400 36640 36725 37856 38194 38701 39550 40000 40075 41132 41678 42250 45200 45500 45800 47008 47320 47632 50624 51076 51296 51415 51754 52000 54080 56000 56500 56875 57250 58760 59150 59540 63280 63845 64120 65000 67600 70000 70625 72800 73280 73450 74425 75712 76388 77402 79100 80150 82264 83356 84500 89383 90400 91000 91600 94016 94640 95264 95485 98875 102152 102592 102830 103508 104000 104195 105625 113000 113750 114500 117520 118300 119080 126560 127690 128240 129385 130000 133679 135200 140000 141250 143125 145600 146900 147875 148850 152776 154804 158200 160300 164528 165997 166712 169000 178766 180800 181139 182000 183200 183625 189280 190528 190970 193505 197750 200375 204304 205660 207016 208390 211250 226000 227500 229000 235040 236600 238160 253120 255380 256480 257075 258770 260000 267358 270400 270907 280000 282500 286250 293800 295750 297700 305552 309608 316400 319225 320600 329056 331994 333424 336401 338000 357532 362278 364000 366400 367250 372125 378560 381940 387010 395500 400750 408608 411320 414032 416780 422500 446915 452000 455000 458000 470080 473200 476320 477425 494375 510760 512960 514150 517540 520000 520975 534716 541814 565000 572500 587600 591500 595400 611104 619216 632800 638450 641200 646925 658112 663988 666848 668395 672802 676000 715064 724556 728000 734500 739375 744250 763880 774020 791000 801500 817216 822640 828064 829985 833560 845000 893830 904000 905695 910000 916000 918125 946400 952640 954850 967525 988750 1001875 1021520 1028300 1035080 1041950 1069432 1083628 1130000 1145000 1161979 1175200 1183000 1190800 1222208 1238432 1265600 1276900 1282400 1285375 1293850 1327976 1333696 1336790 1345604 1352000 1354535 1430128 1449112 1469000 1478750 1488500 1527760 1548040 1582000 1596125 1603000 1645280 1656128 1659970 1667120 1682005 1690000 1787660 1811390 1820000 1832000 1836250 1860625 1892800 1909700 1935050 1977500 2003750 2043040 2056600 2070160 2083900 2138864 2157961 2167256 2234575 2260000 2290000 2323958 2350400 2354807 2366000 2381600 2387125 2476864 2553800 2564800 2570750 2587700 2604875 2655952 2673580 2691208 2709070 2860256 2898224 2924101 2938000 2957500 2977000 3055520 3096080 3164000 3192250 3206000 3234625 3290560 3319940 3334240 3341975 3364010 3380000 3575320 3622780 3640000 3672500 3721250 3819400 3870100 3955000 4007500 4086080 4113200 4140320 4149925 4167800 4277728 4315922 4334512 4373213 4469150 4520000 4528475 4580000 4647916 4709614 4732000 4763200 4774250 4837625 5107600 5141500 5175400 5209750 5311904 5347160 5382416 5418140 5720512 5796448 5809895 5848202 5876000 5915000 5954000 6111040 6192160 6328000 6384500 6412000 6426875 6469250 6639880 6668480 6683950 6728020 6760000 6772675 7150640 7245560 7345000 7442500 7638800 7740200 7910000 7980625 8015000 8226400 8280640 8299850 8335600 8410025 8555456 8631844 8669024 8746426 8938300 9056950 9160000 9295832 9419228 9464000 9548500 9675250 10215200 10283000 10350800 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41678000 42050125 42777280 43159220 43345120 43732130 44691500 45284750 46479160 46785616 47096140 47320000 47742500 48376250 51076000 51415000 51754000 52097500 53119040 53471600 53824160 53949025 54181400 55864375 57964480 58098950 58482020 58760000 58870175 59540000 60422908 61224982 61921600 63845000 64120000 64692500 66398800 66839500 67280200 67726750 69054752 69971408 71506400 72455600 73102525 74366656 75353824 75528635 76026626 76388000 77402000 81874828 82264000 82998500 83356000 83549375 84100250 86318440 86690240 87464260 89383000 90569500 92958320 93571232 94192280 95485000 96752500 102152000 102343535 102830000 103508000 103748125 104195000 106943200 107648320 107898050 108362800 109330325 111728750 113211875 116197900 116964040 117740350 119080000 120845816 122449964 127690000 129385000 132797600 133679000 134560400 135453500 138109504 139942816 143012800 144911200 145247375 146205050 150707648 151057270 152053252 152776000 153062455 154804000 163749656 165997000 166712000 167098750 168200500 169316875 172636880 174928520 178766000 181139000 185916640 187142464 188384560 190066565 190970000 193505000 204687070 205660000 207016000 207496250 208390000 210250625 213886400 215796100 216725600 218660650 223457500 226423750 232395800 233928080 235480700 241691632 244899928 255380000 258770000 265595200 266093191 267358000 269120800 269745125 270907000 279885632 289822400 290494750 292410100 294350875 302114540 304106504 306124910 309608000 327499312 331994000 334197500 336401000 338633750 345273760 349857040 357532000 362278000 365512625 371833280 376769120 377643175 380133130 381940000 387010000 409374140 411320000 414992500 416780000 420501250 431592200 433451200 437321300 446915000 452847500 464791600 467856160 470961400 483383264 489799856 494173069 510760000 511717675 517540000 532186382 534716000 538241600 539490250 541814000 546651625 580989500 584820200 588701750 604229080 608213008 612249820 654998624 663988000 668395000 672802000 677267500 690547520 699714080 715064000 724556000 726236875 731025250 753538240 755286350 760266260 763880000 765312275 774020000 818748280 829985000 833560000 841002500 863184400 874642600 893830000 905695000 929583200 935712320 941922800 950332825 966766528 979599712 988346138 1023435350 1035080000 1064372764 1069432000 1078980500 1083628000 1093303250 1161979000 1169640400 1177403500 1208458160 1216426016 1224499640 1309997248 1327976000 1330465955 1336790000 1345604000 1348725625 1354535000 1399428160 1449112000 1452473750 1462050500 1471754375 1510572700 1520532520 1530624550 1548040000 1637496560 1659970000 1682005000 1726368800 1749285200 1787660000 1811390000 1827563125 1859166400 1883845600 1888215875 1900665650 1959199424 1976692276 2046870700 2128745528 2157961000 2167256000 2186606500 2323958000 2339280800 2354807000 2416916320 2432852032 2448999280 2470865345 2558588375 2660931910 2673580000 2691208000 2697451250 2709070000 2733258125 2904947500 2924101000 2943508750 3021145400 3041065040 3061249100 3274993120 3319940000 3364010000 3452737600 3459211483 3498570400 3575320000 3622780000 3655126250 3767691200 3776431750 3801331300 3826561375 3953384552 4093741400 4257491056 4315922000 4373213000 4647916000 4678561600 4709614000 4751664125 4833832640 4897998560 4941730690 5117176750 5321863820 5347160000 5394902500 5418140000 5466516250 5809895000 5848202000 5887017500 6042290800 6082130080 6122498200 6549986240 6639880000 6652329775 6728020000 6918422966 6997140800 7245560000 7310252500 7552863500 7602662600 7653122750 7906769104 8187482800 8514982112 8631844000 8746426000 9295832000 9419228000 9441079375 9503328250 9795997120 9883461380 10234353500 10643727640 10789805000 10836280000 10933032500 11619790000 11696404000 11774035000 12084581600 12164260160 12244996400 12354326725 12792941875 13304659550 13456040000 13836845932 14620505000 15105727000 15205325200 15306245500 15813538208 16374965600 17029964224 17263688000 17296057415 17492852000 18838456000 18882158750 19006656500 19132806875 19766922760 20468707000 21287455280 21579610000 21866065000 23239580000 23392808000 23548070000 23758320625 24169163200 24489992800 24708653450 25585883750 26609319100 27673691864 29241010000 30211454000 30410650400 30612491000 31627076416 32749931200 33261648875 34592114830 34985704000 37764317500 38013313000 38265613750 39533845520 40937414000 42574910560 43159220000 43732130000 46479160000 47096140000 47516641250 48979985600 49417306900 51171767500 53218638200 55347383728 58482020000 60422908000 60821300800 61224982000 61771633625 66523297750 69184229660 75528635000 76026626000 76531227500 79067691040 81874828000 85149821120 86318440000 86480287075 87464260000 94192280000 95033282500 98834613800 102343535000 106437276400 110694767456 116964040000 120845816000 122449964000 123543267250 133046595500 138368459320 151057270000 152053252000 153062455000 158135382080 163749656000 166308244375 172960574150 174928520000 190066565000 197669227600 204687070000 212874552800 221389534912 244899928000 247086534500 266093191000 276736918640 302114540000 304106504000 306124910000 308858168125 332616488750 345921148300 380133130000 395338455200 409374140000 425749105600 432401435375 494173069000 532186382000 553473837280 604229080000 612249820000 617716336250 665232977500 691842296600 760266260000 790676910400 818748280000 864802870750 988346138000 1064372764000 1106947674560 1224499640000 1235432672500 1330465955000 1383684593200 1520532520000 1729605741500 1976692276000 2128745528000 2162007176875 2470865345000 2660931910000 2767369186400 3459211483000 3953384552000 4324014353750 4941730690000 5321863820000 5534738372800 6918422966000 8648028707500 9883461380000 10643727640000 13836845932000 17296057415000 19766922760000 27673691864000 34592114830000 69184229660000 138368459320000
- Sum of all divisors σ(n): 430269611463120
- Sum of proper divisors (its aliquot sum) s(n): 291901152143120
- 138368459320000 is an abundant number, because the sum of its proper divisors (291901152143120) is greater than itself. Its abundance is 153532692823120
Bases of 138368459320000
- Binary: 111110111011000011010101101110110101010110000002
- Hexadecimal: 0x7DD86ADDAAC0
- Base-36: 1D1PLC40CG
Squares and roots of 138368459320000
- 138368459320000 squared (1383684593200002) is 19145830534590494862400000000
- 138368459320000 cubed (1383684593200003) is 2649179073473098741226663397568000000000000
-
The
square root of 138368459320000 is 11763012.3403828833 -
The
cube root of 138368459320000 is 51722.4436449133
Scales and comparisons
How big is 138368459320000?- 138,368,459,320,000 seconds is equal to 4,399,689 years, 1 day, 16 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,368,459,320,000 would take you about ten million, nine hundred ninety-nine thousand, two hundred twenty-two 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 138368459320000 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138368459320000
- 138368459320000 backwards is 000023954863831
- 138368459320000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138368459320000's digits is 52
- More coming soon!
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The information we have on file for 138368459320000 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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