138107303564083200
138,107,303,564,083,200 is an even composite number composed of five prime numbers multiplied together.
138107303564083200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty divisors.
Prime factorization of 138107303564083200:
216 × 32 × 52 × 534 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 53 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 138107303564083200 from the Numbermatics database.
Names of 138107303564083200
- Cardinal: 138107303564083200 can be written as One hundred thirty-eight quadrillion, one hundred seven trillion, three hundred three billion, five hundred sixty-four million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.381073035640832 × 1017
Factors of 138107303564083200
Divisors of 138107303564083200
- Number of divisors d(n): 1530
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 192 200 212 225 240 256 265 288 300 318 320 360 384 400 424 450 477 480 512 530 576 600 636 640 720 768 795 800 848 900 954 960 1024 1060 1152 1187 1200 1272 1280 1325 1440 1536 1590 1600 1696 1800 1908 1920 2048 2120 2304 2374 2385 2400 2544 2560 2650 2809 2880 3072 3180 3200 3392 3561 3600 3816 3840 3975 4096 4240 4608 4748 4770 4800 5088 5120 5300 5618 5760 5935 6144 6360 6400 6784 7122 7200 7632 7680 7950 8192 8427 8480 9216 9496 9540 9600 10176 10240 10600 10683 11236 11520 11870 11925 12288 12720 12800 13568 14045 14244 14400 15264 15360 15900 16384 16854 16960 17805 18432 18992 19080 19200 20352 20480 21200 21366 22472 23040 23740 23850 24576 25281 25440 25600 27136 28090 28488 28800 29675 30528 30720 31800 32768 33708 33920 35610 36864 37984 38160 38400 40704 40960 42135 42400 42732 44944 46080 47480 47700 49152 50562 50880 51200 53415 54272 56180 56976 57600 59350 61056 61440 62911 63600 65536 67416 67840 70225 71220 73728 75968 76320 76800 81408 81920 84270 84800 85464 89025 89888 92160 94960 95400 98304 101124 101760 102400 106830 108544 112360 113952 115200 118700 122112 122880 125822 126405 127200 134832 135680 140450 142440 147456 148877 151936 152640 153600 162816 163840 168540 169600 170928 178050 179776 184320 188733 189920 190800 196608 202248 203520 204800 210675 213660 217088 224720 227904 230400 237400 244224 245760 251644 252810 254400 267075 269664 271360 280900 284880 294912 297754 303872 305280 307200 314555 325632 327680 337080 339200 341856 356100 359552 368640 377466 379840 381600 404496 407040 409600 421350 427320 434176 446631 449440 455808 460800 474800 488448 491520 503288 505620 508800 534150 539328 542720 561800 566199 569760 589824 595508 607744 610560 614400 629110 632025 651264 674160 678400 683712 712200 719104 737280 744385 754932 759680 763200 808992 814080 819200 842700 854640 868352 893262 898880 911616 921600 943665 949600 976896 983040 1006576 1011240 1017600 1068300 1078656 1085440 1123600 1132398 1139520 1191016 1215488 1221120 1228800 1258220 1264050 1302528 1339893 1348320 1356800 1367424 1424400 1438208 1474560 1488770 1509864 1519360 1526400 1572775 1617984 1628160 1638400 1685400 1709280 1736704 1786524 1797760 1823232 1843200 1887330 1899200 1953792 2013152 2022480 2035200 2136600 2157312 2170880 2233155 2247200 2264796 2279040 2382032 2430976 2442240 2457600 2516440 2528100 2605056 2679786 2696640 2713600 2734848 2830995 2848800 2876416 2949120 2977540 3019728 3038720 3052800 3145550 3235968 3256320 3334283 3370800 3418560 3473408 3573048 3595520 3646464 3686400 3721925 3774660 3798400 3907584 4026304 4044960 4070400 4273200 4314624 4341760 4466310 4494400 4529592 4558080 4718325 4764064 4861952 4884480 4915200 5032880 5056200 5210112 5359572 5393280 5427200 5469696 5661990 5697600 5752832 5955080 6039456 6077440 6105600 6291100 6471936 6512640 6668566 6699465 6741600 6837120 7146096 7191040 7292928 7372800 7443850 7549320 7596800 7815168 7890481 8052608 8089920 8140800 8546400 8629248 8683520 8932620 8988800 9059184 9116160 9436650 9528128 9723904 9768960 10002849 10065760 10112400 10420224 10719144 10786560 10854400 10939392 11165775 11323980 11395200 11505664 11910160 12078912 12154880 12211200 12582200 12943872 13025280 13337132 13398930 13483200 13674240 14154975 14292192 14382080 14585856 14745600 14887700 15098640 15193600 15630336 15780962 16105216 16179840 16281600 16671415 17092800 17258496 17367040 17865240 17977600 18118368 18232320 18873300 19056256 19447808 19537920 20005698 20131520 20224800 21438288 21573120 21708800 21878784 22331550 22647960 22790400 23011328 23671443 23820320 24157824 24309760 24422400 25164400 25887744 26050560 26674264 26797860 26966400 27348480 28309950 28584384 28764160 29171712 29775400 30008547 30197280 30387200 31260672 31561924 32210432 32359680 32563200 33342830 33497325 34185600 34516992 35730480 35955200 36236736 36464640 37746600 38112512 38895616 39075840 39452405 40011396 40263040 40449600 42876576 43146240 43417600 43757568 44663100 45295920 45580800 46022656 47342886 47640640 48315648 48619520 48844800 50014245 50328800 51775488 52101120 53348528 53595720 53932800 54696960 56619900 57168768 57528320 58343424 59550800 60017094 60394560 60774400 63123848 64420864 64719360 65126400 66685660 66994650 68371200 69033984 71014329 71460960 71910400 72473472 72929280 75493200 76225024 77791232 78151680 78904810 80022792 80526080 80899200 83357075 85753152 86292480 86835200 87515136 89326200 90591840 91161600 92045312 94685772 95281280 96631296 97239040 97689600 100028490 100657600 103550976 106697056 107191440 107865600 109393920 113239800 114337536 115056640 116686848 118357215 119101600 120034188 120789120 121548800 126247696 128841728 129438720 130252800 133371320 133989300 136742400 138067968 142028658 142921920 143820800 144946944 145858560 150042735 150986400 152450048 156303360 157809620 160045584 161052160 161798400 166714150 171506304 172584960 175030272 176716999 178652400 181183680 182323200 184090624 189371544 190562560 193262592 194478080 195379200 197262025 200056980 201315200 207101952 213394112 214382880 215731200 218787840 226479600 228675072 230113280 233373696 236714430 238203200 240068376 241578240 243097600 250071225 252495392 257683456 258877440 260505600 266742640 267978600 273484800 276135936 284057316 285843840 287641600 289893888 291717120 300085470 301972800 304900096 315619240 320091168 322104320 323596800 333428300 343012608 345169920 350060544 353433998 355071645 357304800 362367360 364646400 378743088 381125120 386525184 388956160 390758400 394524050 400113960 402630400 414203904 426788224 428765760 431462400 437575680 452959200 457350144 460226560 473428860 476406400 480136752 483156480 486195200 500142450 504990784 515366912 517754880 530150997 533485280 535957200 546969600 552271872 568114632 571687680 575283200 579787776 583434240 591786075 600170940 603945600 609800192 631238480 640182336 644208640 647193600 666856600 686025216 690339840 700121088 706867996 710143290 714609600 724734720 729292800 750213675 757486176 762250240 773050368 781516800 789048100 800227920 805260800 828407808 853576448 857531520 862924800 875151360 883584995 905918400 914700288 920453120 946857720 952812800 960273504 966312960 972390400 1000284900 1009981568 1030733824 1035509760 1060301994 1066970560 1071914400 1093939200 1136229264 1143375360 1150566400 1159575552 1166868480 1183572150 1200341880 1207891200 1219600384 1262476960 1280364672 1288417280 1294387200 1333713200 1372050432 1380679680 1413735992 1420286580 1429219200 1449469440 1458585600 1500427350 1514972352 1524500480 1546100736 1578096200 1590452991 1600455840 1610521600 1656815616 1707152896 1715063040 1725849600 1750302720 1767169990 1775358225 1811836800 1829400576 1893715440 1905625600 1920547008 1932625920 1944780800 2000569800 2019963136 2061467648 2071019520 2120603988 2133941120 2143828800 2187878400 2272458528 2286750720 2301132800 2319151104 2367144300 2400683760 2415782400 2439200768 2524953920 2560729344 2576834560 2588774400 2650754985 2667426400 2744100864 2761359360 2827471984 2840573160 2858438400 2898938880 2917171200 3000854700 3029944704 3049000960 3092201472 3156192400 3180905982 3200911680 3221043200 3414305792 3430126080 3451699200 3500605440 3534339980 3550716450 3623673600 3658801152 3787430880 3811251200 3841094016 3865251840 4001139600 4039926272 4122935296 4142039040 4241207976 4267882240 4287657600 4375756800 4417924975 4544917056 4573501440 4602265600 4638302208 4734288600 4801367520 4831564800 4878401536 5049907840 5121458688 5153669120 5177548800 5301509970 5334852800 5488201728 5654943968 5681146320 5716876800 5797877760 5834342400 6001709400 6059889408 6098001920 6184402944 6312384800 6361811964 6401823360 6442086400 6828611584 6860252160 6903398400 7068679960 7101432900 7247347200 7317602304 7574861760 7622502400 7682188032 7730503680 7952264955 8002279200 8079852544 8284078080 8482415952 8535764480 8575315200 8751513600 8835849950 9089834112 9147002880 9276604416 9366000947 9468577200 9602735040 9663129600 9756803072 10099815680 10242917376 10307338240 10355097600 10603019940 10669705600 10976403456 11309887936 11362292640 11433753600 11595755520 12003418800 12119778816 12196003840 12368805888 12624769600 12723623928 12803646720 12884172800 13253774925 13657223168 13720504320 13806796800 14137359920 14202865800 14494694400 14635204608 15149723520 15245004800 15364376064 15461007360 15904529910 16004558400 16159705088 16964831904 17071528960 17150630400 17503027200 17671699900 18179668224 18294005760 18553208832 18732001894 18937154400 19205470080 19326259200 20199631360 20485834752 20614676480 20710195200 21206039880 21339411200 21952806912 22619775872 22724585280 22867507200 23191511040 24006837600 24239557632 24392007680 25249539200 25447247856 25607293440 25768345600 26507549850 27314446336 27441008640 28098002841 28274719840 28405731600 28989388800 29270409216 30299447040 30490009600 30728752128 30922014720 31809059820 32009116800 32319410176 33929663808 34143057920 34301260800 35343399800 36359336448 36588011520 37106417664 37464003788 37874308800 38410940160 38652518400 39761324775 40399262720 40971669504 41420390400 42412079760 42678822400 43905613824 45239551744 45449170560 45735014400 46383022080 46830004735 48013675200 48479115264 48784015360 50499078400 50894495712 51214586880 51536691200 53015099700 54628892672 54882017280 56196005682 56549439680 56811463200 57978777600 60598894080 60980019200 61457504256 61844029440 63618119640 64018233600 64638820352 67859327616 68286115840 68602521600 70686799600 72718672896 73176023040 74928007576 75748617600 76821880320 77305036800 79522649550 80798525440 81943339008 84294008523 84824159520 85357644800 87811227648 90479103488 90898341120 91470028800 92766044160 93660009470 96027350400 96958230528 100998156800 101788991424 102429173760 103073382400 106030199400 109257785344 109764034560 112392011364 113098879360 113622926400 115957555200 121197788160 121960038400 122915008512 127236239280 128036467200 129277640704 135718655232 136572231680 137205043200 140490014205 141373599200 145437345792 146352046080 149856015152 151497235200 153643760640 154610073600 159045299100 161597050880 163886678016 168588017046 169648319040 170715289600 180958206976 181796682240 182940057600 185532088320 187320018940 192054700800 193916461056 201996313600 203577982848 204858347520 212060398800 218515570688 219528069120 224784022728 226197758720 227245852800 231915110400 234150023675 242395576320 243920076800 245830017024 254472478560 256072934400 258555281408 271437310464 273144463360 274410086400 280980028410 282747198400 290874691584 299712030304 302994470400 307287521280 309220147200 318090598200 323194101760 327773356032 337176034092 339296638080 341430579200 361916413952 363593364480 365880115200 374640037880 384109401600 387832922112 403992627200 407155965696 409716695040 421470042615 424120797600 439056138240 449568045456 452395517440 454491705600 463830220800 468300047350 484791152640 491660034048 508944957120 512145868800 517110562816 542874620928 546288926720 548820172800 561960056820 565494396800 581749383168 599424060608 605988940800 614575042560 636181196400 646388203520 655546712064 674352068184 678593276160 682861158400 702450071025 723832827904 727186728960 731760230400 749280075760 768218803200 775665844224 807985254400 814311931392 819433390080 842940085230 848241595200 899136090912 904791034880 908983411200 927660441600 936600094700 969582305280 983320068096 1017889914240 1024291737600 1085749241856 1092577853440 1097640345600 1123920113640 1130988793600 1163498766336 1198848121216 1211977881600 1229150085120 1272362392800 1292776407040 1348704136368 1357186552320 1365722316800 1404900142050 1447665655808 1454373457920 1498560151520 1536437606400 1551331688448 1615970508800 1628623862784 1638866780160 1685880170460 1696483190400 1798272181824 1809582069760 1817966822400 1873200189400 1939164610560 1966640136192 2035779828480 2048583475200 2107350213075 2171498483712 2195280691200 2247840227280 2261977587200 2326997532672 2397696242432 2423955763200 2458300170240 2544724785600 2585552814080 2697408272736 2714373104640 2731444633600 2809800284100 2895331311616 2908746915840 2997120303040 3072875212800 3231941017600 3257247725568 3277733560320 3371760340920 3392966380800 3596544363648 3619164139520 3635933644800 3746400378800 3878329221120 4071559656960 4097166950400 4214700426150 4342996967424 4495680454560 4523955174400 4653995065344 4795392484864 4847911526400 4916600340480 5089449571200 5394816545472 5428746209280 5462889267200 5619600568200 5790662623232 5817493831680 5994240606080 6145750425600 6463882035200 6514495451136 6743520681840 6785932761600 7193088727296 7238328279040 7271867289600 7492800757600 7756658442240 8143119313920 8194333900800 8429400852300 8685993934848 8991360909120 9047910348800 9590784969728 9695823052800 9833200680960 10178899142400 10789633090944 10857492418560 11239201136400 11581325246464 11634987663360 11988481212160 12291500851200 12927764070400 13028990902272 13487041363680 13571865523200 14386177454592 14476656558080 14543734579200 14985601515200 16286238627840 16388667801600 16858801704600 17371987869696 17982721818240 18095820697600 19181569939456 19391646105600 20357798284800 21579266181888 21714984837120 22478402272800 23269975326720 23976962424320 24583001702400 26057981804544 26974082727360 27143731046400 28772354909184 28953313116160 29087469158400 29971203030400 32572477255680 33717603409200 34743975739392 35965443636480 36191641395200 38363139878912 38783292211200 40715596569600 43158532363776 43429969674240 44956804545600 47953924848640 49166003404800 52115963609088 53948165454720 54287462092800 57544709818368 57906626232320 58174938316800 59942406060800 65144954511360 67435206818400 71930887272960 72383282790400 76726279757824 81431193139200 86317064727552 86859939348480 89913609091200 95907849697280 104231927218176 107896330909440 108574924185600 115089419636736 116349876633600 119884812121600 130289909022720 134870413636800 143861774545920 144766565580800 153452559515648 162862386278400 172634129455104 173719878696960 179827218182400 191815699394560 215792661818880 217149848371200 230178839273472 239769624243200 260579818045440 269740827273600 287723549091840 289533131161600 306905119031296 325724772556800 345268258910208 359654436364800 383631398789120 431585323637760 434299696742400 460357678546944 479539248486400 521159636090880 539481654547200 575447098183680 613810238062592 651449545113600 690536517820416 719308872729600 767262797578240 863170647275520 868599393484800 920715357093888 959078496972800 1078963309094400 1150894196367360 1302899090227200 1381073035640832 1438617745459200 1534525595156480 1726341294551040 1841430714187776 1918156993945600 2157926618188800 2301788392734720 2605798180454400 2762146071281664 2877235490918400 3069051190312960 3452682589102080 3836313987891200 4315853236377600 4603576785469440 5524292142563328 5754470981836800 6905365178204160 7672627975782400 8631706472755200 9207153570938880 11508941963673600 13810730356408320 15345255951564800 17263412945510400 23017883927347200 27621460712816640 34526825891020800 46035767854694400 69053651782041600 138107303564083200
- Sum of all divisors σ(n): 504666065363097924
- Sum of proper divisors (its aliquot sum) s(n): 366558761799014724
- 138107303564083200 is an abundant number, because the sum of its proper divisors (366558761799014724) is greater than itself. Its abundance is 228451458234931524
Bases of 138107303564083200
- Binary: 1111010101010011111011100011000011101001100000000000000002
- Hexadecimal: 0x1EAA7DC61D30000
- Base-36: 11RUYBDP5A80
Squares and roots of 138107303564083200
- 138107303564083200 squared (1381073035640832002) is 19073627297741828157409056522240000
- 138107303564083200 cubed (1381073035640832003) is 2634207235277414598826787464942530230766010368000000
-
The
square root of 138107303564083200 is 371627910.0983713791 -
The
cube root of 138107303564083200 is 516898.8294690951
Scales and comparisons
How big is 138107303564083200?- 138,107,303,564,083,200 seconds is equal to 4,391,385,059 years, 20 weeks, 5 days, 8 hours.
-
To count from 1 to 138,107,303,564,083,200 would take you about thirteen billion, one hundred seventy-four million, one hundred fifty-five thousand, one hundred seventy-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 138107303564083200 cubic inches would be around 43074.9 feet tall.
Recreational maths with 138107303564083200
- 138107303564083200 backwards is 002380465303701831
- The number of decimal digits it has is: 18
- The sum of 138107303564083200's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138107303564083200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138107303564083200/
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The information we have on file for 138107303564083200 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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