138138607042560
138,138,607,042,560 is an even composite number composed of five prime numbers multiplied together.
What does the number 138138607042560 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1560 divisors.
138138607042560 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty divisors.
Prime factorization of 138138607042560:
214 × 312 × 5 × 19 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 19 × 167)See below for interesting mathematical facts about the number 138138607042560 from the Numbermatics database.
Names of 138138607042560
- Cardinal: 138138607042560 can be written as One hundred thirty-eight trillion, one hundred thirty-eight billion, six hundred seven million, forty-two thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3813860704256 × 1014
Factors of 138138607042560
Divisors of 138138607042560
- Number of divisors d(n): 1560
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 64 72 76 80 81 90 95 96 108 114 120 128 135 144 152 160 162 167 171 180 190 192 216 228 240 243 256 270 285 288 304 320 324 334 342 360 380 384 405 432 456 480 486 501 512 513 540 570 576 608 640 648 668 684 720 729 760 768 810 835 855 864 912 960 972 1002 1024 1026 1080 1140 1152 1215 1216 1280 1296 1336 1368 1440 1458 1503 1520 1536 1539 1620 1670 1710 1728 1824 1920 1944 2004 2048 2052 2160 2187 2280 2304 2430 2432 2505 2560 2565 2592 2672 2736 2880 2916 3006 3040 3072 3078 3173 3240 3340 3420 3456 3645 3648 3840 3888 4008 4096 4104 4320 4374 4509 4560 4608 4617 4860 4864 5010 5120 5130 5184 5344 5472 5760 5832 6012 6080 6144 6156 6346 6480 6561 6680 6840 6912 7290 7296 7515 7680 7695 7776 8016 8192 8208 8640 8748 9018 9120 9216 9234 9519 9720 9728 10020 10240 10260 10368 10688 10935 10944 11520 11664 12024 12160 12288 12312 12692 12960 13122 13360 13527 13680 13824 13851 14580 14592 15030 15360 15390 15552 15865 16032 16384 16416 17280 17496 18036 18240 18432 18468 19038 19440 19456 19683 20040 20480 20520 20736 21376 21870 21888 22545 23040 23085 23328 24048 24320 24576 24624 25384 25920 26244 26720 27054 27360 27648 27702 28557 29160 29184 30060 30720 30780 31104 31730 32064 32805 32832 34560 34992 36072 36480 36864 36936 38076 38880 38912 39366 40080 40581 40960 41040 41472 41553 42752 43740 43776 45090 46080 46170 46656 47595 48096 48640 49152 49248 50768 51840 52488 53440 54108 54720 55296 55404 57114 58320 58368 59049 60120 61440 61560 62208 63460 64128 65610 65664 67635 69120 69255 69984 72144 72960 73728 73872 76152 77760 77824 78732 80160 81162 81920 82080 82944 83106 85504 85671 87480 87552 90180 92160 92340 93312 95190 96192 97280 98415 98496 101536 103680 104976 106880 108216 109440 110592 110808 114228 116640 116736 118098 120240 121743 122880 123120 124416 124659 126920 128256 131220 131328 135270 138240 138510 139968 142785 144288 145920 147456 147744 152304 155520 155648 157464 160320 162324 164160 165888 166212 171008 171342 174960 175104 177147 180360 184320 184680 186624 190380 192384 194560 196830 196992 202905 203072 207360 207765 209952 213760 216432 218880 221184 221616 228456 233280 233472 236196 240480 243486 245760 246240 248832 249318 253840 256512 257013 262440 262656 270540 276480 277020 279936 285570 288576 291840 295245 295488 304608 311040 311296 314928 320640 324648 328320 331776 332424 342016 342684 349920 350208 354294 360720 365229 368640 369360 373248 373977 380760 384768 389120 393660 393984 405810 406144 414720 415530 419904 427520 428355 432864 437760 442368 443232 456912 466560 466944 472392 480960 486972 492480 497664 498636 507680 513024 514026 524880 525312 531441 541080 552960 554040 559872 571140 577152 583680 590490 590976 608715 609216 622080 623295 629856 641280 649296 656640 663552 664848 684032 685368 699840 700416 708588 721440 730458 737280 738720 746496 747954 761520 769536 771039 778240 787320 787968 811620 812288 829440 831060 839808 855040 856710 865728 875520 885735 886464 913824 933120 933888 944784 961920 973944 984960 995328 997272 1015360 1026048 1028052 1049760 1050624 1062882 1082160 1095687 1105920 1108080 1119744 1121931 1142280 1154304 1167360 1180980 1181952 1217430 1218432 1244160 1246590 1259712 1282560 1285065 1298592 1313280 1327104 1329696 1368064 1370736 1399680 1400832 1417176 1442880 1460916 1477440 1492992 1495908 1523040 1539072 1542078 1556480 1574640 1575936 1623240 1624576 1658880 1662120 1679616 1710080 1713420 1731456 1751040 1771470 1772928 1826145 1827648 1866240 1869885 1889568 1923840 1947888 1969920 1990656 1994544 2030720 2052096 2056104 2099520 2101248 2125764 2164320 2191374 2211840 2216160 2239488 2243862 2284560 2308608 2313117 2334720 2361960 2363904 2434860 2436864 2488320 2493180 2519424 2565120 2570130 2597184 2626560 2657205 2659392 2736128 2741472 2799360 2801664 2834352 2885760 2921832 2954880 2985984 2991816 3046080 3078144 3084156 3149280 3151872 3246480 3249152 3287061 3317760 3324240 3359232 3365793 3420160 3426840 3462912 3502080 3542940 3545856 3652290 3655296 3732480 3739770 3779136 3847680 3855195 3895776 3939840 3981312 3989088 4061440 4104192 4112208 4199040 4202496 4251528 4328640 4382748 4432320 4478976 4487724 4569120 4617216 4626234 4669440 4723920 4727808 4869720 4873728 4976640 4986360 5038848 5130240 5140260 5194368 5253120 5314410 5318784 5478435 5482944 5598720 5609655 5668704 5771520 5843664 5909760 5971968 5983632 6092160 6156288 6168312 6298560 6303744 6492960 6498304 6574122 6635520 6648480 6718464 6731586 6840320 6853680 6925824 6939351 7004160 7085880 7091712 7304580 7310592 7464960 7479540 7558272 7695360 7710390 7791552 7879680 7978176 8122880 8208384 8224416 8398080 8404992 8503056 8657280 8765496 8864640 8957952 8975448 9138240 9234432 9252468 9447840 9455616 9739440 9747456 9861183 9953280 9972720 10077696 10097379 10260480 10280520 10388736 10506240 10628820 10637568 10956870 10965888 11197440 11219310 11337408 11543040 11565585 11687328 11819520 11943936 11967264 12184320 12312576 12336624 12597120 12607488 12985920 12996608 13148244 13296960 13436928 13463172 13680640 13707360 13851648 13878702 14008320 14171760 14183424 14609160 14621184 14929920 14959080 15116544 15390720 15420780 15583104 15759360 15956352 16245760 16435305 16448832 16796160 16828965 17006112 17314560 17530992 17729280 17915904 17950896 18276480 18468864 18504936 18895680 18911232 19478880 19494912 19722366 19906560 19945440 20155392 20194758 20520960 20561040 20777472 20818053 21012480 21257640 21275136 21913740 21931776 22394880 22438620 22674816 23086080 23131170 23374656 23639040 23934528 24368640 24625152 24673248 25194240 25214976 25971840 25993216 26296488 26593920 26873856 26926344 27414720 27703296 27757404 28343520 28366848 29218320 29242368 29583549 29859840 29918160 30233088 30781440 30841560 31166208 31518720 31912704 32491520 32870610 32897664 33592320 33657930 34012224 34629120 34696755 35061984 35458560 35831808 35901792 36552960 36937728 37009872 37791360 37822464 38957760 38989824 39444732 39890880 40310784 40389516 41041920 41122080 41554944 41636106 42024960 42515280 42550272 43827480 43863552 44789760 44877240 45349632 46172160 46262340 46749312 47278080 47869056 48737280 49305915 49346496 50388480 50486895 51943680 51986432 52592976 53187840 53747712 53852688 54829440 55406592 55514808 56687040 56733696 58436640 58484736 59167098 59719680 59836320 60466176 61562880 61683120 62332416 62454159 63037440 63825408 64983040 65741220 65795328 67184640 67315860 68024448 69258240 69393510 70123968 70917120 71803584 73105920 73875456 74019744 75582720 75644928 77915520 77979648 78889464 79781760 80621568 80779032 82244160 83109888 83272212 85030560 85100544 87654960 87727104 88750647 89579520 89754480 90699264 92344320 92524680 93498624 94556160 95738112 97474560 98611830 98692992 100776960 100973790 103887360 104090265 105185952 106375680 107495424 107705376 109658880 110813184 111029616 113374080 113467392 116873280 116969472 118334196 119672640 120932352 123125760 123366240 124664832 124908318 126074880 127650816 129966080 131482440 131590656 134369280 134631720 136048896 138516480 138787020 140247936 141834240 143607168 146211840 147917745 148039488 151165440 155831040 155959296 157778928 159563520 161243136 161558064 164488320 166219776 166544424 170061120 170201088 175309920 175454208 177501294 179159040 179508960 181398528 184688640 185049360 186997248 187362477 189112320 191476224 194949120 197223660 197385984 201553920 201947580 207774720 208180530 210371904 212751360 215410752 219317760 221626368 222059232 226748160 226934784 233746560 233938944 236668392 239345280 241864704 246732480 249329664 249816636 255301632 259932160 262964880 263181312 268738560 269263440 272097792 277032960 277574040 280495872 283668480 287214336 292423680 295835490 296078976 302330880 311662080 312270795 315557856 319127040 322486272 323116128 328976640 332439552 333088848 340122240 340402176 350619840 350908416 355002588 359017920 362797056 369377280 370098720 373994496 374724954 378224640 382952448 389898240 394447320 394771968 403107840 403895160 415549440 416361060 420743808 425502720 430821504 438635520 443753235 444118464 453496320 467493120 467877888 473336784 478690560 483729408 493464960 498659328 499633272 510603264 525929760 526362624 537477120 538526880 544195584 554065920 555148080 560991744 562087431 567336960 574428672 584847360 591670980 592157952 604661760 623324160 624541590 631115712 638254080 646232256 657953280 664879104 666177696 680244480 680804352 701239680 701816832 710005176 718035840 725594112 740197440 747988992 749449908 765904896 779796480 788894640 789543936 806215680 807790320 831098880 832722120 841487616 851005440 861643008 877271040 887506470 888236928 906992640 934986240 936812385 946673568 957381120 967458816 986929920 997318656 999266544 1021206528 1051859520 1052725248 1077053760 1088391168 1108131840 1110296160 1121983488 1124174862 1134673920 1148857344 1169694720 1183341960 1184315904 1209323520 1246648320 1249083180 1262231424 1276508160 1292464512 1315906560 1332355392 1360488960 1402479360 1403633664 1420010352 1436071680 1451188224 1480394880 1495977984 1498899816 1531809792 1577789280 1579087872 1612431360 1615580640 1662197760 1665444240 1682975232 1686262293 1702010880 1723286016 1754542080 1775012940 1776473856 1813985280 1869972480 1873624770 1893347136 1914762240 1973859840 1994637312 1998533088 2042413056 2103719040 2105450496 2154107520 2176782336 2220592320 2243966976 2248349724 2297714688 2339389440 2366683920 2368631808 2418647040 2493296640 2498166360 2524462848 2553016320 2584929024 2631813120 2664710784 2720977920 2804958720 2810437155 2840020704 2872143360 2902376448 2960789760 2991955968 2997799632 3063619584 3155578560 3158175744 3231161280 3324395520 3330888480 3365950464 3372524586 3404021760 3446572032 3509084160 3550025880 3552947712 3627970560 3739944960 3747249540 3786694272 3829524480 3947719680 3997066176 4207438080 4210900992 4308215040 4353564672 4441184640 4487933952 4496699448 4595429376 4733367840 4737263616 4837294080 4986593280 4996332720 5048925696 5106032640 5169858048 5263626240 5329421568 5441955840 5609917440 5620874310 5680041408 5744286720 5921579520 5983911936 5995599264 6127239168 6311157120 6316351488 6462322560 6661776960 6731900928 6745049172 6893144064 7018168320 7100051760 7105895424 7255941120 7479889920 7494499080 7573388544 7659048960 7895439360 7994132352 8414876160 8431311465 8616430080 8707129344 8882369280 8975867904 8993398896 9190858752 9466735680 9474527232 9973186560 9992665440 10097851392 10212065280 10339716096 10527252480 10658843136 10883911680 11219834880 11241748620 11360082816 11488573440 11843159040 11991198528 12622314240 12632702976 12924645120 13323553920 13463801856 13490098344 13786288128 14200103520 14211790848 14511882240 14959779840 14988998160 15146777088 15318097920 15790878720 15988264704 16829752320 16862622930 17232860160 17764738560 17951735808 17986797792 18381717504 18933471360 18949054464 19985330880 20195702784 20679432192 21054504960 21317686272 21767823360 22439669760 22483497240 22720165632 22977146880 23686318080 23982397056 25244628480 25849290240 26647107840 26927603712 26980196688 27572576256 28400207040 28423581696 29919559680 29977996320 30293554176 30636195840 31581757440 31976529408 33659504640 33725245860 34465720320 35529477120 35973595584 37866942720 37898108928 39970661760 40391405568 41358864384 42635372544 43535646720 44879339520 44966994480 45440331264 45954293760 47372636160 47964794112 50489256960 51698580480 53294215680 53855207424 53960393376 55145152512 56800414080 56847163392 59955992640 60587108352 63163514880 63953058816 67319009280 67450491720 68931440640 71058954240 71947191168 75733885440 79941323520 80782811136 82717728768 85270745088 89758679040 89933988960 90880662528 91908587520 94745272320 95929588224 100978513920 103397160960 106588431360 107920786752 113600828160 113694326784 119911985280 121174216704 127906117632 134638018560 134900983440 137862881280 142117908480 143894382336 151467770880 159882647040 161565622272 165435457536 170541490176 179867977920 181761325056 189490544640 191859176448 201957027840 206794321920 213176862720 215841573504 227201656320 239823970560 242348433408 255812235264 269276037120 269801966880 275725762560 284235816960 287788764672 302935541760 319765294080 341082980352 359735955840 363522650112 383718352896 403914055680 413588643840 426353725440 431683147008 454403312640 479647941120 484696866816 511624470528 539603933760 568471633920 575577529344 605871083520 639530588160 719471911680 727045300224 767436705792 807828111360 827177287680 852707450880 863366294016 908806625280 959295882240 1023248941056 1079207867520 1151155058688 1211742167040 1279061176320 1438943823360 1454090600448 1534873411584 1705414901760 1726732588032 1817613250560 1918591764480 2158415735040 2302310117376 2423484334080 2558122352640 2877887646720 3069746823168 3453465176064 3635226501120 3837183528960 4316831470080 4604620234752 5116244705280 5755775293440 6906930352128 7270453002240 7674367057920 8633662940160 9209240469504 11511550586880 13813860704256 15348734115840 17267325880320 23023101173760 27627721408512 34534651760640 46046202347520 69069303521280 138138607042560
- Sum of all divisors σ(n): 526590781657920
- Sum of proper divisors (its aliquot sum) s(n): 388452174615360
- 138138607042560 is an abundant number, because the sum of its proper divisors (388452174615360) is greater than itself. Its abundance is 250313567572800
Bases of 138138607042560
- Binary: 111110110100010111001101001101001000000000000002
- Hexadecimal: 0x7DA2E69A4000
- Base-36: 1CYS000000
Squares and roots of 138138607042560
- 138138607042560 squared (1381386070425602) is 19082274755658807229651353600
- 138138607042560 cubed (1381386070425603) is 2635998853950114611586405917662396809216000
-
The
square root of 138138607042560 is 11753238.1513589695 -
The
cube root of 138138607042560 is 51693.7880044525
Scales and comparisons
How big is 138138607042560?- 138,138,607,042,560 seconds is equal to 4,392,380 years, 21 weeks, 3 days, 9 hours, 36 minutes.
-
To count from 1 to 138,138,607,042,560 would take you about ten million, nine hundred eighty thousand, nine hundred fifty-one 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 138138607042560 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138138607042560
- 138138607042560 backwards is 065240706831831
- 138138607042560 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138138607042560's digits is 54
- More coming soon!
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"Number 138138607042560 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138138607042560 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138138607042560/
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The information we have on file for 138138607042560 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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