138487468851200
138,487,468,851,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138487468851200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 816 divisors.
138487468851200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 138487468851200:
216 × 52 × 7 × 53 × 73 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 53 × 73 × 3121)See below for interesting mathematical facts about the number 138487468851200 from the Numbermatics database.
Names of 138487468851200
- Cardinal: 138487468851200 can be written as One hundred thirty-eight trillion, four hundred eighty-seven billion, four hundred sixty-eight million, eight hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.384874688512 × 1014
Factors of 138487468851200
Divisors of 138487468851200
- Number of divisors d(n): 816
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 64 70 73 80 100 106 112 128 140 146 160 175 200 212 224 256 265 280 292 320 350 365 371 400 424 448 511 512 530 560 584 640 700 730 742 800 848 896 1022 1024 1060 1120 1168 1280 1325 1400 1460 1484 1600 1696 1792 1825 1855 2044 2048 2120 2240 2336 2555 2560 2650 2800 2920 2968 3121 3200 3392 3584 3650 3710 3869 4088 4096 4240 4480 4672 5110 5120 5300 5600 5840 5936 6242 6400 6784 7168 7300 7420 7738 8176 8192 8480 8960 9275 9344 10220 10240 10600 11200 11680 11872 12484 12775 12800 13568 14336 14600 14840 15476 15605 16352 16384 16960 17920 18550 18688 19345 20440 20480 21200 21847 22400 23360 23744 24968 25550 25600 27083 27136 28672 29200 29680 30952 31210 32704 32768 33920 35840 37100 37376 38690 40880 40960 42400 43694 44800 46720 47488 49936 51100 51200 54166 54272 57344 58400 59360 61904 62420 65408 65536 67840 71680 74200 74752 77380 78025 81760 81920 84800 87388 89600 93440 94976 96725 99872 102200 102400 108332 108544 109235 114688 116800 118720 123808 124840 130816 135415 135680 143360 148400 149504 154760 156050 163520 163840 165413 169600 174776 179200 186880 189952 193450 199744 204400 204800 216664 217088 218470 227833 229376 233600 237440 247616 249680 261632 270830 271360 286720 296800 299008 309520 312100 327040 327680 330826 339200 349552 358400 373760 379904 386900 399488 408800 409600 433328 434176 436940 455666 458752 467200 474880 495232 499360 523264 541660 542720 546175 573440 593600 598016 619040 624200 654080 661652 677075 678400 699104 716800 747520 759808 773800 798976 817600 819200 827065 866656 868352 873880 911332 934400 949760 990464 998720 1046528 1083320 1085440 1092350 1139165 1146880 1157891 1187200 1196032 1238080 1248400 1308160 1323304 1354150 1356800 1398208 1433600 1495040 1519616 1547600 1594831 1597952 1635200 1638400 1654130 1733312 1736704 1747760 1822664 1868800 1899520 1980928 1997440 2093056 2166640 2170880 2184700 2278330 2293760 2315782 2374400 2392064 2476160 2496800 2616320 2646608 2708300 2713600 2796416 2867200 2990080 3039232 3095200 3189662 3195904 3270400 3308260 3466624 3473408 3495520 3645328 3737600 3799040 3961856 3994880 4135325 4186112 4333280 4341760 4369400 4556660 4631564 4748800 4784128 4952320 4993600 5232640 5293216 5416600 5427200 5592832 5695825 5734400 5789455 5980160 6078464 6190400 6379324 6391808 6540800 6616520 6933248 6991040 7290656 7475200 7598080 7923712 7974155 7989760 8270650 8372224 8666560 8683520 8738800 9113320 9263128 9497600 9904640 9987200 10465280 10586432 10833200 10854400 11185664 11391650 11468800 11578910 11960320 12075149 12156928 12380800 12758648 12783616 13081600 13233040 13866496 13982080 14581312 14950400 15196160 15847424 15948310 15979520 16541300 16744448 17333120 17367040 17477600 18226640 18526256 18995200 19809280 19974400 20930560 21172864 21666400 21708800 22371328 22783300 23157820 23920640 24150298 24313856 24761600 25517296 25567232 26163200 26466080 27732992 27964160 28947275 29162624 29900800 30392320 31694848 31896620 31959040 33082600 33488896 34666240 34955200 36453280 37052512 37990400 39618560 39870775 39948800 41861120 42345728 43332800 43417600 44742656 45566600 46315640 48300596 49523200 51034592 51134464 52326400 52932160 55465984 55928320 57894550 58325248 59801600 60375745 60784640 63389696 63793240 63918080 66165200 69332480 69910400 72906560 74105024 75980800 79237120 79741550 79897600 83722240 84526043 84691456 86665600 86835200 89485312 91133200 92631280 96601192 99046400 102069184 102268928 104652800 105864320 110931968 111856640 115789100 116650496 119603200 120751490 121569280 126779392 127586480 127836160 132330400 138664960 139820800 145813120 148210048 151961600 158474240 159483100 159795200 167444480 169052086 169382912 173331200 178970624 182266400 185262560 193202384 198092800 204138368 204537856 209305600 211728640 221863936 223713280 231578200 233300992 241502980 253558784 255172960 255672320 264660800 277329920 279641600 291626240 296420096 301878725 303923200 316948480 318966200 319590400 338104172 338765824 346662400 357941248 364532800 370525120 386404768 396185600 408276736 418611200 422630215 423457280 443727872 447426560 463156400 466601984 483005960 510345920 511344640 529321600 554659840 559283200 583252480 592840192 603757450 607846400 633896960 637932400 639180800 676208344 677531648 693324800 715882496 729065600 741050240 772809536 792371200 816553472 837222400 845260430 846914560 887455744 894853120 926312800 933203968 966011920 1020691840 1022689280 1058643200 1109319680 1118566400 1166504960 1185680384 1207514900 1267793920 1275864800 1278361600 1352416688 1355063296 1386649600 1431764992 1458131200 1482100480 1545619072 1584742400 1633106944 1690520860 1693829120 1774911488 1789706240 1852625600 1866407936 1932023840 2041383680 2113151075 2117286400 2218639360 2237132800 2333009920 2371360768 2415029800 2551729600 2556723200 2704833376 2710126592 2773299200 2916262400 2964200960 3091238144 3169484800 3266213888 3381041720 3387658240 3579412480 3705251200 3732815872 3864047680 4082767360 4226302150 4234572800 4437278720 4474265600 4666019840 4742721536 4830059600 5103459200 5113446400 5409666752 5420253184 5546598400 5832524800 5928401920 6182476288 6338969600 6532427776 6762083440 6775316480 7158824960 7410502400 7465631744 7728095360 8165534720 8452604300 8469145600 8874557440 8948531200 9332039680 9485443072 9660119200 10206918400 10819333504 10840506368 11093196800 11665049600 11856803840 12364952576 13064855552 13524166880 13550632960 14821004800 14931263488 15456190720 16331069440 16905208600 16938291200 17897062400 18664079360 18970886144 19320238400 20413836800 21638667008 22186393600 23330099200 23713607680 24729905152 26129711104 27048333760 27101265920 29642009600 30912381440 32662138880 33810417200 33876582400 35794124800 37328158720 37941772288 38640476800 40827673600 43277334016 44372787200 46660198400 47427215360 49459810304 52259422208 54096667520 54202531840 59284019200 61824762880 65324277760 67620834400 67753164800 74656317440 75883544576 77280953600 81655347200 86554668032 93320396800 94854430720 98919620608 104518844416 108193335040 118568038400 123649525760 130648555520 135241668800 135506329600 154561907200 163310694400 173109336064 186640793600 189708861440 197839241216 216386670080 237136076800 247299051520 261297111040 270483337600 271012659200 309123814400 326621388800 346218672128 373281587200 379417722880 395678482432 432773340160 474272153600 494598103040 522594222080 540966675200 618247628800 653242777600 692437344256 791356964864 865546680320 948544307200 989196206080 1081933350400 1236495257600 1306485555200 1384874688512 1731093360640 1897088614400 1978392412160 2163866700800 2472990515200 2612971110400 2769749377024 3462186721280 3956784824320 4327733401600 4945981030400 5539498754048 6924373442560 8655466803200 9891962060800 13848746885120 17310933606400 19783924121600 27697493770240 34621867212800 69243734425600 138487468851200
- Sum of all divisors σ(n): 405524102671296
- Sum of proper divisors (its aliquot sum) s(n): 267036633820096
- 138487468851200 is an abundant number, because the sum of its proper divisors (267036633820096) is greater than itself. Its abundance is 128549164968896
Bases of 138487468851200
- Binary: 111110111110100001000000110001100000000000000002
- Hexadecimal: 0x7DF420630000
- Base-36: 1D389JBABK
Squares and roots of 138487468851200
- 138487468851200 squared (1384874688512002) is 19178779028812090247741440000
- 138487468851200 cubed (1384874688512003) is 2656020563356662135522055963151433728000000
-
The
square root of 138487468851200 is 11768069.8864002333 -
The
cube root of 138487468851200 is 51737.2680730857
Scales and comparisons
How big is 138487468851200?- 138,487,468,851,200 seconds is equal to 4,403,473 years, 7 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,487,468,851,200 would take you about eleven million, eight thousand, six hundred eighty-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 138487468851200 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138487468851200
- 138487468851200 backwards is 002158864784831
- The number of decimal digits it has is: 15
- The sum of 138487468851200's digits is 65
- More coming soon!
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The information we have on file for 138487468851200 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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