138088377919317780000
138,088,377,919,317,780,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138088377919317780000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
138088377919317780000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138088377919317780000:
25 × 34 × 54 × 192 × 4859232
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 19 × 485923 × 485923)See below for interesting mathematical facts about the number 138088377919317780000 from the Numbermatics database.
Names of 138088377919317780000
- Cardinal: 138088377919317780000 can be written as One hundred thirty-eight quintillion, eighty-eight quadrillion, three hundred seventy-seven trillion, nine hundred nineteen billion, three hundred seventeen million, seven hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3808837791931778 × 1020
Factors of 138088377919317780000
Divisors of 138088377919317780000
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 72 75 76 80 81 90 95 96 100 108 114 120 125 135 144 150 152 160 162 171 180 190 200 216 225 228 240 250 270 285 288 300 304 324 342 360 361 375 380 400 405 432 450 456 475 480 500 513 540 570 600 608 625 648 675 684 720 722 750 760 800 810 855 864 900 912 950 1000 1026 1080 1083 1125 1140 1200 1250 1296 1350 1368 1425 1440 1444 1500 1520 1539 1620 1710 1800 1805 1824 1875 1900 2000 2025 2052 2160 2166 2250 2280 2375 2400 2500 2565 2592 2700 2736 2850 2888 3000 3040 3078 3240 3249 3375 3420 3600 3610 3750 3800 4000 4050 4104 4275 4320 4332 4500 4560 4750 5000 5130 5400 5415 5472 5625 5700 5776 6000 6156 6480 6498 6750 6840 7125 7200 7220 7500 7600 7695 8100 8208 8550 8664 9000 9025 9120 9500 9747 10000 10125 10260 10800 10830 11250 11400 11552 11875 12000 12312 12825 12960 12996 13500 13680 14250 14440 15000 15200 15390 16200 16245 16416 16875 17100 17328 18000 18050 19000 19494 20000 20250 20520 21375 21600 21660 22500 22800 23750 24624 25650 25992 27000 27075 27360 28500 28880 29241 30000 30780 32400 32490 33750 34200 34656 35625 36000 36100 38000 38475 38988 40500 41040 42750 43320 45000 45125 45600 47500 48735 49248 50625 51300 51984 54000 54150 57000 57760 58482 60000 61560 64125 64800 64980 67500 68400 71250 72200 76000 76950 77976 81000 81225 82080 85500 86640 90000 90250 95000 97470 101250 102600 103968 106875 108000 108300 114000 116964 123120 128250 129960 135000 135375 136800 142500 144400 146205 153900 155952 162000 162450 171000 173280 180000 180500 190000 192375 194940 202500 205200 213750 216600 225625 228000 233928 243675 246240 256500 259920 270000 270750 285000 288800 292410 307800 311904 320625 324000 324900 342000 361000 380000 384750 389880 405000 406125 410400 427500 433200 451250 467856 485923 487350 513000 519840 540000 541500 570000 584820 615600 641250 649800 676875 684000 722000 731025 769500 779760 810000 812250 855000 866400 902500 935712 961875 971846 974700 1026000 1083000 1140000 1169640 1218375 1231200 1282500 1299600 1353750 1444000 1457769 1462050 1539000 1559520 1620000 1624500 1710000 1805000 1923750 1943692 1949400 2030625 2052000 2166000 2339280 2429615 2436750 2565000 2599200 2707500 2915538 2924100 3078000 3249000 3420000 3610000 3655125 3847500 3887384 3898800 4061250 4332000 4373307 4678560 4859230 4873500 5130000 5415000 5831076 5848200 6091875 6156000 6498000 7220000 7288845 7310250 7695000 7774768 7797600 8122500 8746614 9232537 9718460 9747000 10260000 10830000 11662152 11696400 12148075 12183750 12996000 13119921 14577690 14620500 15390000 15549536 16245000 17493228 18275625 18465074 19436920 19494000 21660000 21866535 23324304 23392800 24296150 24367500 26239842 27697611 29155380 29241000 30780000 32490000 34986456 36444225 36551250 36930148 38873840 38988000 39359763 43733070 46162685 46648608 48592300 48735000 52479684 55395222 58310760 58482000 60740375 64980000 65599605 69972912 72888450 73102500 73860296 77747680 78719526 83092833 87466140 92325370 97184600 97470000 104959368 109332675 110790444 116621520 116964000 121480750 131199210 138488055 139945824 145776900 146205000 147720592 157439052 166185666 174932280 175418203 182221125 184650740 194369200 194940000 196798815 209918736 218665350 221580888 230813425 233243040 242961500 249278499 262398420 276976110 291553800 292410000 295441184 303701875 314878104 327998025 332371332 349864560 350836406 364442250 369301480 388738400 393597630 415464165 419837472 437330700 443161776 461626850 485923000 498556998 524796840 526254609 546663375 553952220 583107600 584820000 607403750 629756208 655996050 664742664 692440275 699729120 701672812 728884500 738602960 747835497 787195260 830928330 874661400 877091015 886323552 911105625 923253700 971846000 983994075 997113996 1049593680 1052509218 1093326750 1107904440 1154067125 1166215200 1214807500 1246392495 1259512416 1311992100 1329485328 1384880550 1403345624 1457769000 1477205920 1495670994 1574390520 1578763827 1639990125 1661856660 1749322800 1754182030 1822211250 1846507400 1943692000 1967988150 1994227992 2077320825 2099187360 2105018436 2186653500 2215808880 2308134250 2429615000 2492784990 2623984200 2631273045 2658970656 2733316875 2769761100 2806691248 2915538000 2991341988 3148781040 3157527654 3279980250 3323713320 3462201375 3498645600 3508364060 3644422500 3693014800 3739177485 3935976300 3988455984 4154641650 4210036872 4373307000 4385455075 4431617760 4616268500 4736291481 4859230000 4919970375 4985569980 5247968400 5262546090 5466633750 5539522200 5613382496 5770335625 5831076000 5982683976 6231962475 6297562080 6315055308 6559960500 6647426640 6924402750 7016728120 7288845000 7386029600 7478354970 7871952600 7893819135 7976911968 8199950625 8309283300 8420073744 8746614000 8770910150 9232537000 9472582962 9718460000 9839940750 9971139960 10386604125 10495936800 10525092180 10933267500 11079044400 11540671250 11965367952 12463924950 12630110616 13119921000 13156365225 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11628494982679392 11953633822655625 12113015606957700 12274522481717136 12750542744166000 12785960918455350 13458906229953000 13638358313019040 13808837791931778 14167269715740000 14535618728349240 15141269508697125 15300651292999200 15343153102146420 15938178430207500 16150687475943600 16823632787441250 17047947891273800 17945208306604000 18169523410436550 18411783722575704 19125814116249000 19178941377683025 19380824971132320 20188359344929500 20457537469528560 21250904573610000 21309934864092250 22431510383255000 23014729653219630 23907267645311250 24226031213915400 24549044963434272 25235449181161875 25501085488332000 25571921836910700 26917812459906000 27617675583863556 29071237456698480 30282539017394250 30686306204292840 31876356860415000 31964902296138375 32301374951887200 33647265574882500 34095895782547600 34522094479829445 36339046820873100 36823567445151408 38251628232498000 38357882755366050 40376718689859000 40915074939057120 42501809147220000 42619869728184500 44863020766510000 45423808526091375 46029459306439260 47814535290622500 48452062427830800 50470898362323750 51143843673821400 53274837160230625 53835624919812000 55235351167727112 57536824133049075 58142474913396960 60565078034788500 61372612408585680 63752713720830000 63929804592276750 67294531149765000 68191791565095200 69044188959658890 72678093641746200 73647134890302816 75706347543485625 76503256464996000 76715765510732100 80753437379718000 85239739456369000 89726041533020000 90847617052182750 92058918612878520 95629070581245000 95894706888415125 96904124855661600 100941796724647500 102287687347642800 106549674320461250 110470702335454224 115073648266098150 121130156069577000 122745224817171360 127505427441660000 127859609184553500 134589062299530000 138088377919317780 145356187283492400 151412695086971250 153431531021464200 159824511480691875 161506874759436000 170479478912738000 172610472399147225 181695234104365500 184117837225757040 191258141162490000 191789413776830250 201883593449295000 204575374695285600 213099348640922500 220941404670908448 227119042630456875 230147296532196300 242260312139154000 255719218369107000 269178124599060000 276176755838635560 287684120665245375 290712374566984800 302825390173942500 306863062042928400 319649022961383750 340958957825476000 345220944798294450 363390468208731000 368235674451514080 382516282324980000 383578827553660500 403767186898590000 426198697281845000 454238085260913750 460294593064392600 479473534442075625 484520624278308000 511438436738214000 552353511677271120 575368241330490750 605650780347885000 613726124085856800 639298045922767500 690441889596588900 726780936417462000 767157655107321000 807534373797180000 852397394563690000 863052361995736125 908476170521827500 920589186128785200 958947068884151250 1022876873476428000 1104707023354542240 1150736482660981500 1211301560695770000 1278596091845535000 1380883779193177800 1438420603326226875 1453561872834924000 1534315310214642000 1704794789127380000 1726104723991472250 1816952341043655000 1841178372257570400 1917894137768302500 2301472965321963000 2422603121391540000 2557192183691070000 2761767558386355600 2876841206652453750 3068630620429284000 3452209447982944500 3633904682087310000 3835788275536605000 4315261809978680625 4602945930643926000 5114384367382140000 5523535116772711200 5753682413304907500 6904418895965889000 7267809364174620000 7671576551073210000 8630523619957361250 9205891861287852000 11507364826609815000 13808837791931778000 15343153102146420000 17261047239914722500 23014729653219630000 27617675583863556000 34522094479829445000 46029459306439260000 69044188959658890000 138088377919317780000
- Sum of all divisors σ(n): 535596505445683741059
- Sum of proper divisors (its aliquot sum) s(n): 397508127526365961059
- 138088377919317780000 is an abundant number, because the sum of its proper divisors (397508127526365961059) is greater than itself. Its abundance is 259419749607048181059
Bases of 138088377919317780000
- Binary: 11101111100010111000111100000011000000100101101010010100110001000002
- Hexadecimal: 0x77C5C781812D4A620
- Base-36: T54PGN7C34200
Squares and roots of 138088377919317780000
- 138088377919317780000 squared (1380883779193177800002) is 19068400116388330220031300624128400000000
- 138088377919317780000 cubed (1380883779193177800003) is 2633124441588594884974036548171064615893135122952000000000000
-
The
square root of 138088377919317780000 is 11751101136.4602670583 -
The
cube root of 138088377919317780000 is 5168752.1717569431
Scales and comparisons
How big is 138088377919317780000?- 138,088,377,919,317,780,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,088,377,919,317,780,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138088377919317780000 cubic inches would be around 430729.3 feet tall.
Recreational maths with 138088377919317780000
- 138088377919317780000 backwards is 000087713919773880831
- 138088377919317780000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138088377919317780000's digits is 90
- More coming soon!
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"Number 138088377919317780000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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The information we have on file for 138088377919317780000 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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