138435670044000
138,435,670,044,000 is an even composite number composed of six prime numbers multiplied together.
138435670044000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138435670044000:
25 × 32 × 53 × 72 × 191 × 6412
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 191 × 641 × 641)See below for interesting mathematical facts about the number 138435670044000 from the Numbermatics database.
Names of 138435670044000
- Cardinal: 138435670044000 can be written as One hundred thirty-eight trillion, four hundred thirty-five billion, six hundred seventy million, forty-four thousand.
Scientific notation
- Scientific notation: 1.38435670044 × 1014
Factors of 138435670044000
Divisors of 138435670044000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 125 126 140 144 147 150 160 168 175 180 191 196 200 210 224 225 240 245 250 252 280 288 294 300 315 336 350 360 375 382 392 400 420 441 450 480 490 500 504 525 560 573 588 600 630 641 672 700 720 735 750 764 784 800 840 875 882 900 955 980 1000 1008 1050 1120 1125 1146 1176 1200 1225 1260 1282 1337 1400 1440 1470 1500 1528 1568 1575 1680 1719 1750 1764 1800 1910 1923 1960 2000 2016 2100 2205 2250 2292 2352 2400 2450 2520 2564 2625 2674 2800 2865 2940 3000 3056 3150 3205 3360 3438 3500 3528 3600 3675 3820 3846 3920 4000 4011 4200 4410 4487 4500 4584 4704 4775 4900 5040 5128 5250 5348 5600 5730 5769 5880 6000 6112 6125 6300 6410 6685 6876 7000 7056 7200 7350 7640 7692 7840 7875 8022 8400 8595 8820 8974 9000 9168 9359 9550 9615 9800 10080 10256 10500 10696 11025 11460 11538 11760 12000 12033 12250 12600 12820 13370 13461 13752 14000 14112 14325 14700 15280 15384 15750 16025 16044 16800 17190 17640 17948 18000 18336 18375 18718 19100 19230 19600 20055 20512 21000 21392 22050 22435 22920 23076 23520 23875 24066 24500 25200 25640 26740 26922 27504 28000 28077 28650 28845 29400 30560 30768 31409 31500 32050 32088 33425 34380 35280 35896 36000 36750 37436 38200 38460 39200 40110 40383 42000 42784 42975 44100 44870 45840 46152 46795 47750 48075 48132 49000 50400 51280 53480 53844 55008 55125 56154 57300 57690 58800 60165 61536 62818 63000 64100 64176 66850 67305 68760 70560 71625 71792 73500 74872 76400 76920 80125 80220 80766 84000 84231 85950 88200 89740 91680 92304 93590 94227 95500 96150 96264 98000 100275 102560 106960 107688 110250 112175 112308 114600 115380 117600 120330 122431 125636 126000 128200 128352 133700 134610 137520 140385 143250 143584 144225 147000 149744 152800 153840 157045 160250 160440 161532 167125 168462 171900 176400 179480 184608 187180 188454 191000 192300 192528 196000 200550 201915 213920 214875 215376 220500 224350 224616 229200 230760 233975 240375 240660 244862 251272 252000 256400 267400 269220 275040 280770 282681 286500 288450 294000 299488 300825 307680 314090 320500 320880 323064 334250 336525 336924 343800 352800 358960 367293 374360 376908 382000 384600 385056 401100 403830 410881 421155 429750 430752 441000 448700 449232 458400 461520 467950 471135 480750 481320 489724 501375 502544 512800 534800 538440 560875 561540 565362 573000 576900 588000 601650 612155 628180 641000 641760 646128 668500 673050 673848 687600 701925 717920 721125 734586 748720 753816 764000 769200 785225 802200 807660 821762 842310 857017 859500 882000 897400 898464 923040 935900 942270 961500 962640 979448 1002750 1005088 1009575 1069600 1076880 1101879 1121750 1123080 1130724 1146000 1153800 1169875 1203300 1224310 1232643 1256360 1282000 1292256 1337000 1346100 1347696 1375200 1403850 1413405 1442250 1469172 1497440 1504125 1507632 1538400 1570450 1604400 1615320 1643524 1682625 1684620 1714034 1719000 1764000 1794800 1836465 1871800 1884540 1923000 1925280 1958896 2005500 2019150 2054405 2105775 2153760 2203758 2243500 2246160 2261448 2292000 2307600 2339750 2355675 2406600 2448620 2465286 2512720 2564000 2571051 2674000 2692200 2695392 2807700 2826810 2876167 2884500 2938344 3008250 3015264 3060775 3140900 3208800 3230640 3287048 3365250 3369240 3428068 3438000 3509625 3589600 3672930 3697929 3743600 3769080 3846000 3917792 3926125 4011000 4038300 4108810 4211550 4285085 4407516 4487000 4492320 4522896 4615200 4679500 4711350 4813200 4897240 4930572 5025440 5047875 5142102 5348000 5384400 5509395 5615400 5653620 5752334 5769000 5876688 5999119 6016500 6121550 6163215 6281800 6461280 6574096 6730500 6738480 6856136 6876000 7019250 7067025 7345860 7395858 7487200 7538160 7692000 7713153 7852250 8022000 8076600 8217620 8423100 8570170 8628501 8815032 8974000 9045792 9182325 9359000 9422700 9626400 9794480 9861144 10095750 10272025 10284204 10528875 10768800 11018790 11230800 11307240 11504668 11538000 11753376 11778375 11998238 12033000 12243100 12326430 12563600 12855255 13148192 13461000 13476960 13712272 14038500 14134050 14380835 14691720 14791716 15076320 15303875 15426306 15704500 16044000 16153200 16435240 16846200 17140340 17257002 17630064 17948000 17997357 18364650 18489645 18718000 18845400 19588960 19722288 20133169 20191500 20544050 20568408 21057750 21425425 22037580 22461600 22614480 23009336 23076000 23556750 23996476 24066000 24486200 24652860 25127200 25710510 25885503 26922000 27424544 27546975 28077000 28268100 28761670 29383440 29583432 29995595 30607750 30816075 30852612 31409000 32306400 32870480 33692400 34280680 34514004 35260128 35335125 35994714 36729300 36979290 37436000 37690800 38565765 39444576 40266338 40383000 41088100 41136816 42115500 42850850 43142505 44075160 45228960 45911625 46018672 47113500 47992952 48132000 48972400 49305720 51360125 51421020 51771006 53844000 53992071 55093950 56154000 56536200 57523340 58766880 59166864 59991190 60399507 61215500 61632150 61705224 62818000 64276275 65740960 67384800 68561360 69028008 70670250 71904175 71989428 73458600 73958580 75381600 77131530 78478271 80532676 80766000 82176200 82273632 84231000 85701700 86285010 88150320 89986785 91823250 92037344 92448225 94227000 95985904 97944800 98611440 100665845 102720250 102842040 103542012 107127125 107984142 110187900 112308000 113072400 115046680 118333728 119982380 120799014 122431000 123264300 123410448 125636000 128552550 129427515 137122720 137734875 138056016 141340500 143808350 143978856 146917200 147917160 149977975 154080375 154263060 156956542 161065352 161532000 164352400 168462000 171403400 172570020 176300640 179973570 181198521 183646500 184896450 188454000 191971808 192828825 197222880 201331690 205440500 205684080 207084024 214254250 215712525 215968284 220375800 226144800 230093360 235434813 239964760 241598028 244862000 246528600 246820896 257105100 258855030 269960355 275469750 276112032 282681000 287616700 287957712 293834400 295834320 299955950 301997535 308160750 308526120 313913084 321381375 322130704 328704800 336924000 342806800 345140040 359520875 359947140 362397042 367293000 369792900 376908000 385657650 392391355 402663380 410881000 411368160 414168048 428508500 431425050 431936568 440751600 449933925 460186720 462241125 470869626 479929520 483196056 489724000 493057200 503329225 514210200 517710060 539920710 549347897 550939500 565362000 575233400 575915424 591668640 599911900 603995070 616321500 617052240 627826168 642762750 644261408 647137575 685613600 690280080 706304439 719041750 719894280 724794084 734586000 739585800 749889875 771315300 784782710 805326760 821762000 828336096 857017000 862850100 863873136 881503200 899867850 905992605 924482250 941739252 959859040 964144125 966392112 986114400 1006658450 1028420400 1035420120 1078562625 1079841420 1098695794 1101879000 1130724000 1150466800 1177174065 1199823800 1207990140 1232643000 1234104480 1255652336 1285525500 1294275150 1349801775 1380560160 1412608878 1438083500 1439788560 1449588168 1469172000 1479171600 1499779750 1509987675 1542630600 1569565420 1610653520 1643524000 1648043691 1714034000 1725700200 1727746272 1799735700 1811985210 1848964500 1883478504 1928288250 1932784224 1961956775 2013316900 2056840800 2070840240 2157125250 2159682840 2197391588 2203758000 2249669625 2300933600 2354348130 2399647600 2415980280 2465286000 2511304672 2516646125 2571051000 2588550300 2699603550 2746739485 2825217756 2876167000 2879577120 2899176336 2958343200 2999559500 3019975350 3085261200 3139130840 3221307040 3235687875 3296087382 3428068000 3451400400 3531522195 3599471400 3623970420 3697929000 3766957008 3845435279 3856576500 3923913550 4026633800 4141680480 4314250500 4319365680 4394783176 4407516000 4499339250 4529963025 4708696260 4799295200 4831960560 4930572000 4944131073 5033292250 5142102000 5177100600 5399207100 5493478970 5650435512 5752334000 5798352672 5885870325 5999119000 6039950700 6170522400 6278261680 6471375750 6592174764 6749008875 6902800800 7063044390 7198942800 7247940840 7395858000 7533914016 7549938375 7690870558 7713153000 7847827100 8053267600 8240218455 8628501000 8638731360 8789566352 8998678500 9059926050 9417392520 9663921120 9809783875 9888262146 10066584500 10284204000 10354201200 10798414200 10986957940 11300871024 11504668000 11536305837 11771740650 11998238000 12079901400 12556523360 12942751500 13184349528 13498017750 13733697425 14126088780 14397885600 14495881680 14791716000 15099876750 15381741116 15426306000 15695654200 16106535200 16480436910 17257002000 17579132704 17657610975 17997357000 18119852100 18834785040 19227176395 19619567750 19776524292 20133169000 20708402400 21596828400 21973915880 22601742048 22649815125 23072611674 23543481300 23996476000 24159802800 24720655365 25885503000 26368699056 26996035500 27467394850 28252177560 28991763360 29429351625 30199753500 30763482232 30852612000 31391308400 32960873820 34514004000 34608917511 35315221950 35994714000 36239704200 37669570080 38454352790 39239135500 39553048584 40266338000 41201092275 43193656800 43947831760 45299630250 46145223348 47086962600 48319605600 49441310730 51771006000 52737398112 53992071000 54934789700 56504355120 57681529185 58858703250 60399507000 61526964464 62782616800 65921747640 68668487125 69217835022 70630443900 71989428000 72479408400 76908705580 78478271000 79106097168 80532676000 82402184550 87895663520 88288054875 90599260500 92290446696 94173925200 96135881975 98882621460 103542012000 107984142000 109869579400 113008710240 115363058370 117717406500 120799014000 123053928928 123603276825 131843495280 137336974250 138435670044 141260887800 144958816800 153817411160 156956542000 158212194336 164804369100 173044587555 176576109750 181198521000 184580893392 188347850400 192271763950 197765242920 206005461375 215968284000 219739158800 230726116740 235434813000 241598028000 247206553650 263686990560 274673948500 276871340088 282521775600 288407645925 307634822320 313913084000 329608738200 346089175110 353152219500 362397042000 369161786784 384543527900 395530485840 412010922750 439478317600 461452233480 470869626000 480679409875 494413107300 549347897000 553742680176 565043551200 576815291850 615269644640 618016384125 659217476400 692178350220 706304439000 724794084000 769087055800 791060971680 824021845500 865222937775 922904466960 941739252000 961358819750 988826214600 1098695794000 1107485360352 1153630583700 1236032768250 1318434952800 1384356700440 1412608878000 1442038229625 1538174111600 1648043691000 1730445875550 1845808933920 1922717639500 1977652429200 2197391588000 2307261167400 2472065536500 2768713400880 2825217756000 2884076459250 3076348223200 3296087382000 3460891751100 3845435279000 3955304858400 4326114688875 4614522334800 4944131073000 5537426801760 5768152918500 6592174764000 6921783502200 7690870558000 8652229377750 9229044669600 9888262146000 11536305837000 13843567004400 15381741116000 17304458755500 19776524292000 23072611674000 27687134008800 34608917511000 46145223348000 69217835022000 138435670044000
- Sum of all divisors σ(n): 575411712115968
- Sum of proper divisors (its aliquot sum) s(n): 436976042071968
- 138435670044000 is an abundant number, because the sum of its proper divisors (436976042071968) is greater than itself. Its abundance is 298540372027968
Bases of 138435670044000
- Binary: 111110111101000000100001110111111101101011000002
- Hexadecimal: 0x7DE810EFED60
- Base-36: 1D2KGVN2W0
Squares and roots of 138435670044000
- 138435670044000 squared (1384356700440002) is 19164434740531238961936000000
- 138435670044000 cubed (1384356700440003) is 2653041364319953350209089171445184000000000
-
The
square root of 138435670044000 is 11765868.8605644419 -
The
cube root of 138435670044000 is 51730.8167963205
Scales and comparisons
How big is 138435670044000?- 138,435,670,044,000 seconds is equal to 4,401,826 years, 5 weeks, 14 hours.
-
To count from 1 to 138,435,670,044,000 would take you about eleven million, four thousand, five hundred sixty-five 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 138435670044000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138435670044000
- 138435670044000 backwards is 000440076534831
- 138435670044000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138435670044000's digits is 45
- More coming soon!
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The information we have on file for 138435670044000 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 138435670044000, math, Factors of 138435670044000, curriculum, school, college, exams, university, Prime factorization of 138435670044000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-five billion, six hundred seventy million, forty-four thousand.