138656395602720
138,656,395,602,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138656395602720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138656395602720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138656395602720:
25 × 35 × 5 × 71 × 229 × 421 × 521
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 71 × 229 × 421 × 521)See below for interesting mathematical facts about the number 138656395602720 from the Numbermatics database.
Names of 138656395602720
- Cardinal: 138656395602720 can be written as One hundred thirty-eight trillion, six hundred fifty-six billion, three hundred ninety-five million, six hundred two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3865639560272 × 1014
Factors of 138656395602720
Divisors of 138656395602720
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 71 72 80 81 90 96 108 120 135 142 144 160 162 180 213 216 229 240 243 270 284 288 324 355 360 405 421 426 432 458 480 486 521 540 568 639 648 687 710 720 810 842 852 864 916 972 1042 1065 1080 1136 1145 1215 1263 1278 1296 1374 1420 1440 1563 1620 1684 1704 1832 1917 1944 2061 2084 2105 2130 2160 2272 2290 2430 2526 2556 2592 2605 2748 2840 3126 3195 3240 3368 3408 3435 3664 3789 3834 3888 4122 4168 4210 4260 4320 4580 4689 4860 5052 5112 5210 5496 5680 5751 6183 6252 6315 6390 6480 6736 6816 6870 7328 7578 7668 7776 7815 8244 8336 8420 8520 9160 9378 9585 9720 10104 10224 10305 10420 10992 11360 11367 11502 12366 12504 12630 12780 12960 13472 13740 14067 15156 15336 15630 16259 16488 16672 16840 17040 17253 18320 18549 18756 18945 19170 19440 20208 20448 20610 20840 21984 22734 23004 23445 24732 25008 25260 25560 27480 28134 28755 29891 30312 30672 30915 31260 32518 32976 33680 34080 34101 34506 36640 36991 37098 37512 37890 38340 38880 40416 41220 41680 42201 45468 46008 46890 48777 49464 50016 50520 51120 54960 55647 56268 56835 57510 59782 60624 61344 61830 62520 65036 65952 67360 68202 69012 70335 73982 74196 75024 75780 76680 81295 82440 83360 84402 86265 89673 90936 92016 92745 93780 96409 97554 98928 101040 102240 102303 109920 110973 111294 112536 113670 115020 119309 119564 121248 123660 125040 126603 130072 136404 138024 140670 146331 147964 148392 149455 150048 151560 153360 162590 164880 168804 170505 172530 179346 181872 184032 184955 185490 187560 192818 195108 197856 202080 204606 211005 219341 221946 222588 225072 227340 230040 238618 239128 243885 247320 250080 253206 260144 269019 272808 276048 278235 281340 289227 292662 295928 296784 298910 303120 306720 325180 329760 332919 337608 341010 345060 357927 358692 363744 369910 370980 375120 385636 390216 409212 422010 438682 438993 443892 445176 448365 450144 454680 460080 477236 478256 482045 487770 494640 506412 511515 520288 538038 545616 552096 554865 556470 562680 578454 585324 591856 593568 596545 597820 606240 633015 650360 658023 665838 675216 682020 690120 715854 717384 731655 739820 741960 750240 771272 780432 807057 818424 844020 867681 877364 877986 887784 890352 896730 909360 920160 954472 956512 964090 975540 989280 998757 1012824 1023030 1073781 1076076 1091232 1096705 1109730 1112940 1125360 1156908 1170648 1183712 1193090 1195640 1266030 1300720 1316046 1316979 1331676 1345095 1350432 1364040 1380240 1431708 1434768 1446135 1463310 1479640 1483920 1542544 1560864 1614114 1636848 1664595 1688040 1735362 1754728 1755972 1775568 1780704 1789635 1793460 1818720 1908944 1928180 1951080 1974069 1997514 2025648 2046060 2147562 2152152 2193410 2194965 2219460 2225880 2250720 2313816 2341296 2386180 2391280 2421171 2532060 2601440 2603043 2632092 2633958 2663352 2690190 2728080 2760480 2863416 2869536 2892270 2926620 2959280 2967840 2996271 3085088 3221343 3228228 3273696 3290115 3329190 3376080 3470724 3509456 3511944 3551136 3579270 3586920 3817888 3856360 3902160 3948138 3950937 3995028 4035285 4051296 4092120 4295124 4304304 4338405 4386820 4389930 4438920 4451760 4627632 4682592 4772360 4782560 4842342 4993785 5064120 5206086 5264184 5267916 5326704 5368905 5380380 5456160 5726832 5784540 5853240 5918560 5922207 5992542 6442686 6456456 6580230 6584895 6658380 6752160 6845039 6941448 7018912 7023888 7158540 7173840 7263513 7712720 7804320 7809129 7896276 7901874 7990056 8070570 8184240 8470939 8590248 8608608 8676810 8773640 8779860 8877840 8903520 8988813 9255264 9544720 9664029 9684684 9870345 9987570 10128240 10412172 10528368 10535832 10653408 10737810 10760760 11453664 11569080 11706480 11844414 11985084 12105855 12885372 12912912 13015215 13160460 13169790 13316760 13690078 13882896 14047776 14317080 14347680 14527026 14981355 15425440 15573211 15618258 15792552 15803748 15980112 16106715 16141140 16368480 16941878 17180496 17353620 17547280 17559720 17755680 17766621 17977626 19089440 19328058 19369368 19740690 19754685 19975140 20256480 20535117 20824344 21056736 21071664 21475620 21521520 23138160 23412960 23427387 23688828 23970168 24211710 25412817 25770744 25825824 26030430 26320920 26339580 26633520 27380156 27765792 28634160 28992087 29054052 29611035 29962710 31146422 31236516 31585104 31607496 31960224 32213430 32282280 33883756 34225195 34360992 34707240 35094560 35119440 35533242 35955252 36317565 38656116 38738736 39045645 39481380 39509370 39950280 41070234 41648688 42143328 42354695 42951240 43043040 44944065 46276320 46719633 46854774 47377656 47940336 48320145 48423420 50229089 50825634 51541488 52060860 52641840 52679160 53267040 53299863 54760312 57268320 57984174 58108104 59222070 59925420 61605351 62292844 62473032 63170208 63214992 64426860 64564560 67767512 68450390 69414480 70238880 71066484 71910504 72635130 76238451 77312232 77477472 77866055 78091290 78962760 79018740 79900560 82140468 83297376 84709390 85902480 88833105 89888130 93439266 93709548 94755312 95880672 96640290 96846840 100458178 101651268 102675585 103082976 104121720 105283680 105358320 106599726 109520624 115968348 116216208 117136935 118444140 119850840 123210702 124585688 124946064 126429984 127064085 128853720 129129120 135535024 136900780 138828960 140158899 142132968 143821008 144960435 145270260 150687267 152476902 154624464 155732110 156182580 157925520 158037480 159801120 164280936 169418780 171804960 177666210 179776260 184816053 186878532 187419096 189510624 193280580 193693680 200916356 203302536 205351170 208243440 210716640 213199452 219041248 228715353 231936696 232432416 233598165 234273870 236888280 239701680 246421404 249171376 249892128 251145445 254128170 257707440 266499315 271070048 273801560 280317798 284265936 287642016 289920870 290540520 301374534 304953804 308026755 309248928 311464220 312365160 315851040 316074960 328561872 338837560 355332420 359552520 369632106 373757064 374838192 381192255 386561160 387387360 401832712 406605072 410702340 416486880 420476697 426398904 452061801 457430706 463873392 467196330 468547740 473776560 479403360 492842808 498342752 502290890 508256340 515414880 532998630 547603120 554448159 560635596 568531872 579841740 581081040 602749068 609907608 616053510 622928440 624730320 632149920 657123744 677675120 686146059 700794495 710664840 719105040 739264212 747514128 749676384 753436335 762384510 773122320 803665424 813210144 821404680 840953394 852797808 904123602 914861412 924080265 927746784 934392660 937095480 947553120 985685616 1004581780 1016512680 1065997260 1095206240 1108896318 1121271192 1143576765 1159683480 1162162080 1205498136 1219815216 1232107020 1245856880 1249460640 1261430091 1355350240 1356185403 1372292118 1401588990 1421329680 1438210080 1478528424 1495028256 1506872670 1524769020 1546244640 1607330848 1642809360 1663344477 1681906788 1705595616 1808247204 1829722824 1848160530 1868785320 1874190960 1971371232 2009163560 2033025360 2058438177 2102383485 2131994520 2217792636 2242542384 2260309005 2287153530 2319366960 2410996272 2439630432 2464214040 2491713760 2522860182 2712370806 2744584236 2772240795 2803177980 2842659360 2957056848 3013745340 3049538040 3285618720 3326688954 3363813576 3430730295 3566265319 3616494408 3659445648 3696321060 3737570640 3748381920 3784290273 4018327120 4066050720 4068556209 4116876354 4204766970 4263989040 4435585272 4485084768 4520618010 4574307060 4638733920 4821992544 4928428080 5045720364 5424741612 5489168472 5544481590 5606355960 5914113696 6027490680 6099076080 6307150455 6653377908 6727627152 6780927015 6861460590 7132530638 7232988816 7318891296 7392642120 7475141280 7568580546 8036654240 8137112418 8233752708 8316722385 8409533940 8527978080 8871170544 9041236020 9148614120 9856856160 10091440728 10292190885 10698795957 10849483224 10978336944 11088963180 11212711920 12054981360 12198152160 12205668627 12614300910 13306755816 13455254304 13561854030 13722921180 14265061276 14465977632 14785284240 15137161092 16274224836 16467505416 16633444770 16819067880 17742341088 17831326595 18082472040 18297228240 18921451365 20182881456 20342781045 20584381770 21397591914 21698966448 21956673888 22177926360 22425423840 24109962720 24411337254 25228601820 26613511632 27123708060 27445842360 28530122552 29570568480 30274322184 32096387871 32548449672 32935010832 33266889540 33638135760 35662653190 36164944080 36594456480 37842902730 40365762912 40685562090 41168763540 42795183828 43397932896 44355852720 48822674508 50457203640 53227023264 53493979785 54247416120 54891684720 57060245104 60548644368 61028343135 64192775742 65096899344 65870021664 66533779080 67276271520 71325306380 72329888160 75685805460 81371124180 82337527080 85590367656 88711705440 96289163613 97645349016 100914407280 106987959570 108494832240 109783369440 114120490208 121097288736 122056686270 128385551484 130193798688 133067558160 142650612760 151371610920 160481939355 162742248360 164675054160 171180735312 192578327226 195290698032 201828814560 213975919140 216989664480 244113372540 256771102968 266135116320 285301225520 288867490839 302743221840 320963878710 325484496720 329350108320 342361470624 385156654452 390581396064 427951838280 481445818065 488226745080 513542205936 570602451040 577734981678 605486443680 641927757420 650968993440 770313308904 855903676560 866602472517 962891636130 976453490160 1027084411872 1155469963356 1283855514840 1444337454195 1540626617808 1711807353120 1733204945034 1925783272260 1952906980320 2310939926712 2567711029680 2888674908390 3081253235616 3466409890068 3851566544520 4333012362585 4621879853424 5135422059360 5777349816780 6932819780136 7703133089040 8666024725170 9243759706848 11554699633560 13865639560272 15406266178080 17332049450340 23109399267120 27731279120544 34664098900680 46218798534240 69328197801360 138656395602720
- Sum of all divisors σ(n): 501922275079680
- Sum of proper divisors (its aliquot sum) s(n): 363265879476960
- 138656395602720 is an abundant number, because the sum of its proper divisors (363265879476960) is greater than itself. Its abundance is 224609483874240
Bases of 138656395602720
- Binary: 111111000011011011101010011010010101011001000002
- Hexadecimal: 0x7E1B7534AB20
- Base-36: 1D5DV9XU00
Squares and roots of 138656395602720
- 138656395602720 squared (1386563956027202) is 19225596041537990152071398400
- 138656395602720 cubed (1386563956027203) is 2665751850433579216187499309209241243648000
-
The
square root of 138656395602720 is 11775245.0336593845 -
The
cube root of 138656395602720 is 51758.2958659637
Scales and comparisons
How big is 138656395602720?- 138,656,395,602,720 seconds is equal to 4,408,844 years, 25 weeks, 2 days, 13 hours, 12 minutes.
-
To count from 1 to 138,656,395,602,720 would take you about eleven million, twenty-two thousand, one hundred eleven 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 138656395602720 cubic inches would be around 4313.2 feet tall.
Recreational maths with 138656395602720
- 138656395602720 backwards is 027206593656831
- The number of decimal digits it has is: 15
- The sum of 138656395602720's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138656395602720 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138656395602720 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138656395602720/
Chicago style:
Numbermatics. 2024. "Number 138656395602720 - Facts about the integer". https://numbermatics.com/n/138656395602720/
The information we have on file for 138656395602720 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!
Keywords: Divisors of 138656395602720, math, Factors of 138656395602720, curriculum, school, college, exams, university, Prime factorization of 138656395602720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred fifty-six billion, three hundred ninety-five million, six hundred two thousand, seven hundred twenty.