138348756000
138,348,756,000 is an even composite number composed of six prime numbers multiplied together.
138348756000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138348756000:
25 × 33 × 53 × 72 × 13 × 2011
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 2011)See below for interesting mathematical facts about the number 138348756000 from the Numbermatics database.
Names of 138348756000
- Cardinal: 138348756000 can be written as One hundred thirty-eight billion, three hundred forty-eight million, seven hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38348756 × 1011
Factors of 138348756000
Divisors of 138348756000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 65 70 72 75 78 80 84 90 91 96 98 100 104 105 108 112 117 120 125 126 130 135 140 144 147 150 156 160 168 175 180 182 189 195 196 200 208 210 216 224 225 234 240 245 250 252 260 270 273 280 288 294 300 312 315 325 336 350 351 360 364 375 378 390 392 400 416 420 432 441 450 455 468 480 490 500 504 520 525 540 546 560 585 588 600 624 630 637 650 672 675 700 702 720 728 735 750 756 780 784 800 819 840 864 875 882 900 910 936 945 975 980 1000 1008 1040 1050 1080 1092 1120 1125 1170 1176 1200 1225 1248 1260 1274 1300 1323 1350 1365 1400 1404 1440 1456 1470 1500 1512 1560 1568 1575 1625 1638 1680 1750 1755 1764 1800 1820 1872 1890 1911 1950 1960 2000 2011 2016 2080 2100 2160 2184 2205 2250 2275 2340 2352 2400 2450 2457 2520 2548 2600 2625 2646 2700 2730 2800 2808 2912 2925 2940 3000 3024 3120 3150 3185 3250 3276 3360 3375 3500 3510 3528 3600 3640 3675 3744 3780 3822 3900 3920 4000 4022 4095 4200 4320 4368 4410 4500 4550 4680 4704 4725 4875 4900 4914 5040 5096 5200 5250 5292 5400 5460 5600 5616 5733 5850 5880 6000 6033 6048 6125 6240 6300 6370 6500 6552 6615 6750 6825 7000 7020 7056 7200 7280 7350 7560 7644 7800 7840 7875 8044 8190 8400 8736 8775 8820 9000 9100 9360 9450 9555 9750 9800 9828 10055 10080 10192 10400 10500 10584 10800 10920 11025 11232 11375 11466 11700 11760 12000 12066 12250 12285 12600 12740 13000 13104 13230 13500 13650 14000 14040 14077 14112 14560 14625 14700 15120 15288 15600 15750 15925 16088 16380 16800 17199 17550 17640 18000 18099 18200 18375 18720 18900 19110 19500 19600 19656 20110 20384 20475 21000 21168 21600 21840 22050 22750 22932 23400 23520 23625 24132 24500 24570 25200 25480 26000 26143 26208 26460 27000 27300 28000 28080 28154 28665 29250 29400 30165 30240 30576 31200 31500 31850 32176 32760 33075 34125 34398 35100 35280 36000 36198 36400 36750 37800 38220 39000 39200 39312 40220 40950 42000 42231 42336 43680 43875 44100 45500 45864 46800 47250 47775 48264 49000 49140 50275 50400 50960 52000 52286 52920 54000 54297 54600 55125 56160 56308 57330 58500 58800 60330 61152 61425 63000 63700 64352 65520 66150 68250 68796 70200 70385 70560 72396 72800 73500 75600 76440 78000 78429 78624 79625 80440 81900 84000 84462 85995 87750 88200 90495 91000 91728 93600 94500 95550 96528 98000 98280 98539 100550 101920 102375 104572 105840 108000 108594 109200 110250 112616 114660 117000 117600 120660 122850 126000 126693 127400 130715 131040 132300 136500 137592 140400 140770 143325 144792 147000 150825 151200 152880 156000 156858 159250 160880 163800 165375 168924 171990 175500 176400 180990 182000 183001 183456 189000 191100 193056 196000 196560 197078 201100 204750 209144 211155 211680 217188 218400 220500 225232 229320 234000 235287 238875 241320 245700 251375 252000 253386 254800 261430 264600 271485 273000 275184 280800 281540 286650 289584 294000 295617 301650 305760 307125 313716 318500 321760 327600 330750 337848 343980 351000 351925 352800 361980 364000 366002 378000 380079 382200 392145 393120 394156 402200 409500 418288 422310 429975 434376 441000 450464 452475 458640 468000 470574 477750 482640 491400 492695 502750 506772 509600 522860 529200 542970 546000 549003 550368 563080 573300 579168 588000 591234 603300 614250 627432 633465 637000 653575 655200 661500 675696 687960 702000 703850 705861 716625 723960 732004 754125 756000 760158 764400 784290 788312 804400 819000 836576 844620 859950 868752 882000 886851 904950 915005 917280 941148 955500 965280 982800 985390 1005500 1013544 1045720 1055775 1058400 1085940 1092000 1098006 1126160 1146600 1176435 1182468 1206600 1228500 1254864 1266930 1274000 1281007 1307150 1323000 1351392 1357425 1375920 1404000 1407700 1411722 1433250 1447920 1464008 1478085 1508250 1520316 1528800 1568580 1576624 1608800 1638000 1647009 1689240 1719900 1737504 1759625 1764000 1773702 1809900 1830010 1882296 1900395 1911000 1960725 1965600 1970780 2011000 2027088 2091440 2111550 2149875 2171880 2196012 2252320 2262375 2293200 2352870 2364936 2413200 2457000 2463475 2509728 2533860 2548000 2562014 2614300 2646000 2660553 2714850 2745015 2751840 2815400 2823444 2866500 2895840 2928016 2956170 3016500 3040632 3137160 3153248 3167325 3267875 3276000 3294018 3378480 3439800 3519250 3529305 3547404 3619800 3660020 3764592 3800790 3822000 3843021 3921450 3941560 4022000 4054176 4182880 4223100 4299750 4343760 4392024 4434255 4524750 4575025 4586400 4705740 4729872 4826400 4914000 4926950 4941027 5067720 5124028 5228600 5278875 5292000 5321106 5429700 5490030 5630800 5646888 5733000 5856032 5882175 5912340 6033000 6081264 6274320 6334650 6405035 6535750 6588036 6756960 6787125 6879600 7038500 7058610 7094808 7239600 7320040 7390425 7529184 7601580 7644000 7686042 7842900 7883120 8044000 8235045 8446200 8599500 8687520 8784048 8868510 9049500 9150050 9411480 9459744 9501975 9803625 9828000 9853900 9882054 10135440 10248056 10457200 10557750 10642212 10859400 10980060 11261600 11293776 11466000 11529063 11764350 11824680 12066000 12162528 12317375 12548640 12669300 12810070 13071500 13176072 13302765 13574250 13725075 13759200 14077000 14117220 14189616 14479200 14640080 14780850 15203160 15372084 15685800 15766240 15836625 16470090 16892400 17199000 17568096 17646525 17737020 18099000 18300100 18822960 19003950 19215105 19607250 19707800 19764108 20270880 20496112 20914400 21115500 21284424 21718800 21960120 22171275 22587552 22875125 22932000 23058126 23528700 23649360 24132000 24634750 24705135 25338600 25620140 26143000 26352144 26605530 27148500 27450150 28154000 28234440 28379232 29280160 29410875 29561700 30406320 30744168 31371600 31673250 32025175 32940180 33784800 34398000 34587189 35293050 35474040 36198000 36600200 36952125 37645920 38007900 38430210 39214500 39415600 39528216 40992224 41175225 42231000 42568848 43437600 43920240 44342550 45750250 46116252 47057400 47298720 47509875 49269500 49410270 50677200 51240280 52286000 52704288 53211060 54297000 54900300 56308000 56468880 57645315 58821750 59123400 60812640 61488336 62743200 63346500 64050350 65880360 66513825 68625375 68796000 69174378 70586100 70948080 72396000 73200400 73904250 76015800 76860420 78429000 78831200 79056432 82350450 84462000 85137696 87840480 88232625 88685100 91500500 92232504 94114800 95019750 96075525 98539000 98820540 101354400 102480560 104572000 106422120 108594000 109800600 110856375 112937760 115290630 117643500 118246800 122976672 123525675 126693000 128100700 131760720 133027650 137250750 138348756 141172200 141896160 146400800 147808500 152031600 153720840 156858000 158112864 160125875 164700900 168924000 172935945 176465250 177370200 183001000 184465008 188229600 190039500 192151050 197078000 197641080 204961120 205876125 212844240 217188000 219601200 221712750 230581260 235287000 236493600 247051350 253386000 256201400 263521440 266055300 274501500 276697512 282344400 288226575 295617000 304063200 307441680 313716000 320251750 329401800 332569125 345871890 352930500 354740400 366002000 368930016 380079000 384302100 394156000 395282160 411752250 425688480 439202400 443425500 461162520 470574000 480377625 494102700 506772000 512402800 532110600 549003000 553395024 564688800 576453150 591234000 614883360 617628375 640503500 658803600 665138250 691743780 705861000 709480800 732004000 760158000 768604200 790564320 823504500 864679725 886851000 922325040 941148000 960755250 988205400 1024805600 1064221200 1098006000 1106790048 1152906300 1182468000 1235256750 1281007000 1317607200 1330276500 1383487560 1411722000 1441132875 1520316000 1537208400 1647009000 1729359450 1773702000 1844650080 1921510500 1976410800 2128442400 2196012000 2305812600 2470513500 2562014000 2660553000 2766975120 2823444000 2882265750 3074416800 3294018000 3458718900 3547404000 3843021000 3952821600 4323398625 4611625200 4941027000 5124028000 5321106000 5533950240 5764531500 6588036000 6917437800 7686042000 8646797250 9223250400 9882054000 10642212000 11529063000 13834875600 15372084000 17293594500 19764108000 23058126000 27669751200 34587189000 46116252000 69174378000 138348756000
- Sum of all divisors σ(n): 631184037120
- Sum of proper divisors (its aliquot sum) s(n): 492835281120
- 138348756000 is an abundant number, because the sum of its proper divisors (492835281120) is greater than itself. Its abundance is 354486525120
Bases of 138348756000
- Binary: 100000001101100011101001111100001000002
- Hexadecimal: 0x20363A7C20
- Base-36: 1RK19ZC0
Squares and roots of 138348756000
- 138348756000 squared (1383487560002) is 19140378286747536000000
- 138348756000 cubed (1383487560003) is 2648047525340932891665216000000000
-
The
square root of 138348756000 is 371952.6260157333 -
The
cube root of 138348756000 is 5171.9988479819
Scales and comparisons
How big is 138348756000?- 138,348,756,000 seconds is equal to 4,399 years, 3 weeks, 1 day, 18 hours.
-
To count from 1 to 138,348,756,000 would take you about eight thousand, seven hundred ninety-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 138348756000 cubic inches would be around 431 feet tall.
Recreational maths with 138348756000
- 138348756000 backwards is 000657843831
- 138348756000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138348756000's digits is 45
- More coming soon!
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The information we have on file for 138348756000 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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