138346768343318760
138,346,768,343,318,760 is an even composite number composed of five prime numbers multiplied together.
What does the number 138346768343318760 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
138346768343318760 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138346768343318760:
23 × 39 × 5 × 236 × 1187
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 23 × 23 × 23 × 23 × 23 × 23 × 1187)See below for interesting mathematical facts about the number 138346768343318760 from the Numbermatics database.
Names of 138346768343318760
- Cardinal: 138346768343318760 can be written as One hundred thirty-eight quadrillion, three hundred forty-six trillion, seven hundred sixty-eight billion, three hundred forty-three million, three hundred eighteen thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3834676834331876 × 1017
Factors of 138346768343318760
Divisors of 138346768343318760
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 243 270 276 324 345 360 405 414 460 486 529 540 552 621 648 690 729 810 828 920 972 1035 1058 1080 1187 1215 1242 1380 1458 1587 1620 1656 1863 1944 2070 2116 2187 2374 2430 2484 2645 2760 2916 3105 3174 3240 3561 3645 3726 4140 4232 4374 4748 4761 4860 4968 5290 5589 5832 5935 6210 6348 6561 7122 7290 7452 7935 8280 8748 9315 9496 9522 9720 10580 10683 10935 11178 11870 12167 12420 12696 13122 14244 14283 14580 14904 15870 16767 17496 17805 18630 19044 19683 21160 21366 21870 22356 23740 23805 24334 24840 26244 27301 27945 28488 28566 29160 31740 32049 32805 33534 35610 36501 37260 38088 39366 42732 42849 43740 44712 47480 47610 48668 50301 52488 53415 54602 55890 57132 60835 63480 64098 65610 67068 71220 71415 73002 74520 78732 81903 83835 85464 85698 87480 95220 96147 97336 98415 100602 106830 109204 109503 111780 114264 121670 128196 128547 131220 134136 136505 142440 142830 146004 150903 157464 160245 163806 167670 171396 182505 190440 192294 196830 201204 213660 214245 218408 219006 223560 243340 245709 251505 256392 257094 262440 273010 279841 285660 288441 292008 301806 320490 327612 328509 335340 342792 365010 384588 385641 393660 402408 409515 427320 428490 438012 452709 480735 486680 491418 503010 514188 546020 547515 559682 571320 576882 603612 627923 640980 642735 655224 657018 670680 730020 737127 754515 769176 771282 787320 819030 839523 856980 865323 876024 905418 961470 982836 985527 1006020 1028376 1092040 1095030 1119364 1153764 1156923 1207224 1228545 1255846 1281960 1285470 1314036 1399205 1442205 1460040 1474254 1509030 1542564 1638060 1642545 1679046 1713960 1730646 1810836 1883769 1922940 1928205 1965672 1971054 2012040 2190060 2211381 2238728 2263545 2307528 2313846 2457090 2511692 2518569 2570940 2595969 2628072 2798410 2884410 2948508 2956581 3018060 3085128 3139615 3276120 3285090 3358092 3461292 3470769 3621672 3685635 3767538 3845880 3856410 3942108 4197615 4326615 4380120 4422762 4527090 4627692 4914180 4927635 5023384 5037138 5141880 5191938 5596820 5651307 5768820 5784615 5897016 5913162 6036120 6279230 6436343 6570180 6634143 6716184 6922584 6941538 7371270 7535076 7555707 7712820 7787907 7884216 8395230 8653230 8845524 8869743 9054180 9255384 9418845 9828360 9855270 10074276 10383876 10412307 11056905 11193640 11302614 11537640 11569230 11826324 12558460 12592845 12872686 12979845 13140360 13268286 13883076 14442229 14742540 14782905 15070152 15111414 15425640 15575814 16790460 16953921 17306460 17353845 17691048 17739486 18108360 18837690 19309029 19710540 19902429 20148552 20767752 20824614 22113810 22605228 22667121 23138460 23363721 23652648 25116920 25185690 25745372 25959690 26536572 26609229 27766152 28256535 28884458 29485080 29565810 30222828 31151628 32181715 33170715 33580920 33907842 34612920 34707690 35478972 37675380 37778535 38618058 38939535 39421080 39804858 41649228 43326687 44227620 44348715 45210456 45334242 46276920 46727442 50371380 50861763 51490744 51919380 52061535 53073144 53218458 56513070 57768916 57927087 59131620 59707287 60445656 62303256 64363430 66341430 67815684 68001363 69415380 70957944 72211145 75350760 75557070 77236116 77879070 79609716 79827687 83298456 84769605 86653374 88455240 88697430 90668484 93454884 96545145 99512145 100742760 101723526 103838760 104123070 106436916 113026140 113335605 115537832 115854174 116818605 118263240 119414574 128726860 129980061 132682860 133046145 135631368 136002726 138830760 144422290 148035889 151114140 152585289 154472232 155758140 159219432 159655374 169539210 173306748 173781261 177394860 179121861 181336968 186909768 193090290 199024290 203447052 204004089 208246140 212873832 216633435 226052280 226671210 231708348 233637210 238829148 239483061 254308815 257453720 259960122 265365720 266092290 272005452 288844580 289635435 296071778 298536435 302228280 305170578 311516280 319310748 332171267 339078420 340006815 346613496 347562522 354789720 358243722 386180580 389940183 398048580 399138435 406894104 408008178 416492280 433266870 444107667 453342420 457755867 463416696 467274420 477658296 478966122 508617630 519920244 521343783 532184580 537365583 544010904 577689160 579270870 592143556 597072870 610341156 612012267 638621496 649900305 664342534 678156840 680013630 695125044 716487444 740179445 762926445 772361160 779880366 796097160 798276870 816016356 866533740 868906305 888215334 895609305 906684840 915511734 934548840 957932244 996513801 1017235260 1020020445 1039840488 1042687566 1064369160 1074731166 1158541740 1169820549 1184287112 1194145740 1197415305 1220682312 1224024534 1299800610 1328685068 1332323001 1360027260 1373267601 1390250088 1432974888 1480358890 1525852890 1559760732 1564031349 1596553740 1632032712 1660856335 1733067480 1737812610 1776430668 1791218610 1831023468 1836036801 1915864488 1949700915 1993027602 2034470520 2040040890 2085375132 2149462332 2220538335 2288779335 2317083480 2339641098 2388291480 2394830610 2448049068 2599601220 2606718915 2657370136 2664646002 2686827915 2720054520 2746535202 2960717780 2989541403 3051705780 3060061335 3119521464 3128062698 3193107480 3321712670 3475625220 3509461647 3552861336 3582437220 3662046936 3672073602 3899401830 3986055204 3996969003 4080081780 4119802803 4170750264 4298924664 4441076670 4577558670 4679282196 4692094047 4789661220 4896098136 4982569005 5199202440 5213437830 5329292004 5373655830 5493070404 5508110403 5849102745 5921435560 5979082806 6103411560 6120122670 6256125396 6643425340 6661615005 6866338005 6951250440 7018923294 7164874440 7344147204 7639939141 7798803660 7820156745 7972110408 7993938006 8160163560 8239605606 8882153340 8968624209 9155117340 9180184005 9358564392 9384188094 9579322440 9965138010 10426875660 10528384941 10658584008 10747311660 10986140808 11016220806 11698205490 11958165612 11990907009 12240245340 12359408409 12512250792 13286850680 13323230010 13732676010 14037846588 14076282141 14688294408 14947707015 15279878282 15597607320 15640313490 15987876012 16479211212 17547308235 17764306680 17937248418 18310234680 18360368010 18768376188 19930276020 19984845015 20599014015 20853751320 21056769882 21494623320 22032441612 22919817423 23396410980 23460470235 23916331224 23981814018 24480490680 24718816818 26646460020 26905872627 27465352020 27540552015 28075693176 28152564282 29895414030 30559756564 31280626980 31585154823 31975752024 32958422424 35094616470 35874496836 35972721027 36720736020 37536752376 38199695705 39860552040 39969690030 41198028030 42113539764 42228846423 44064883224 44843121045 45839634846 46792821960 46920940470 47963628036 49437633636 52641924705 53292920040 53811745254 54930704040 55081104030 56305128564 59790828060 59954535045 61119513128 61797042045 62561253960 63170309646 68759452269 70189232940 70381410705 71748993672 71945442054 73441472040 76399391410 79939380060 80717617881 82396056060 84227079528 84457692846 89686242090 91679269692 93841880940 94755464469 95927256072 98875267272 105283849410 107623490508 107918163081 110162208060 112610257128 114599087115 119581656120 119909070090 123594084090 126340619292 126686539269 134529363135 137518904538 140378465880 140762821410 143890884108 152798782820 157925774115 159878760120 161435235762 164792112120 168915385692 175718600243 179372484180 179863605135 183358539384 187683761880 189510928938 206278356807 210567698820 211144232115 215246981016 215836326162 220324416120 229198174230 239818140180 242152853643 247188168180 252681238584 253373078538 269058726270 275037809076 281525642820 284266393407 287781768216 305597565640 315851548230 322870471524 323754489243 337830771384 343797261345 351437200486 358744968360 359727210270 379021857876 403588089405 412556713614 421135397640 422288464230 431672652324 458396348460 473777322345 479636280360 484305707286 494376336360 506746157076 527155800729 538117452540 539590815405 550075618152 563051285640 568532786814 618835070421 631703096460 633432696345 645740943048 647508978486 687594522690 702874400972 719454420540 726458560929 758043715752 807176178810 825113427228 844576928460 863345304648 878593001215 916792696920 947554644690 968611414572 971263467729 1013492314152 1031391784035 1054311601458 1076234905080 1079181630810 1137065573628 1210764268215 1237670140842 1263406192920 1266865392690 1295017956972 1375189045380 1405748801944 1421331967035 1438908841080 1452917121858 1581467402187 1614352357620 1618772446215 1650226854456 1689153856920 1757186002430 1856505211263 1895109289380 1937222829144 1942526935458 2062783568070 2108623202916 2158363261620 2179375682787 2274131147256 2421528536430 2475340281684 2533730785380 2590035913944 2635779003645 2750378090760 2842663934070 2905834243716 2913790403187 3094175352105 3162934804374 3228704715240 3237544892430 3514372004860 3632292804645 3713010422526 3790218578760 3885053870916 4125567136140 4217246405832 4316726523240 4358751365574 4744402206561 4843057072860 4856317338645 4950680563368 5067461570760 5271558007290 5569515633789 5685327868140 5811668487432 5827580806374 6188350704210 6325869608748 6475089784860 6538127048361 7028744009720 7264585609290 7426020845052 7770107741832 7907337010935 8251134272280 8717502731148 9282526056315 9488804413122 9686114145720 9712634677290 10543116014580 10896878413935 11139031267578 11370655736280 11655161612748 12376701408420 12651739217496 12950179569720 13076254096722 14233206619683 14529171218580 14568952015935 14852041690104 15814674021870 16708546901367 17435005462296 18565052112630 18977608826244 19425269354580 21086232029160 21793756827870 22278062535156 23310323225496 23722011032805 24753402816840 26152508193444 27847578168945 28466413239366 29058342437160 29137904031870 31629348043740 32690635241805 33417093802734 37130104225260 37955217652488 38850538709160 42699619859049 43587513655740 44556125070312 47444022065610 50125640704101 52305016386888 55695156337890 56932826478732 58275808063740 63258696087480 65381270483610 66834187605468 71166033098415 74260208450520 83542734506835 85399239718098 87175027311480 94888044131220 100251281408202 111390312675780 113865652957464 116551616127480 128098859577147 130762540967220 133668375210936 142332066196830 150376922112303 167085469013670 170798479436196 189776088262440 200502562816404 213498099295245 222780625351560 250628203520505 256197719154294 261525081934440 284664132393660 300753844224606 334170938027340 341596958872392 384296578731441 401005125632808 426996198590490 501256407041010 512395438308588 569328264787320 601507688449212 640494297885735 668341876054680 751884610561515 768593157462882 853992397180980 1002512814082020 1024790876617176 1152889736194323 1203015376898424 1280988595771470 1503769221123030 1537186314925764 1707984794361960 1921482893657205 2005025628164040 2305779472388646 2561977191542940 3007538442246060 3074372629851528 3458669208582969 3842965787314410 4611558944777292 5123954383085880 5764448680971615 6015076884492120 6917338417165938 7685931574628820 9223117889554584 11528897361943230 13834676834331876 15371863149257640 17293346042914845 23057794723886460 27669353668663752 34586692085829690 46115589447772920 69173384171659380 138346768343318760
- Sum of all divisors σ(n): 488546963033041440
- Sum of proper divisors (its aliquot sum) s(n): 350200194689722680
- 138346768343318760 is an abundant number, because the sum of its proper divisors (350200194689722680) is greater than itself. Its abundance is 211853426346403920
Bases of 138346768343318760
- Binary: 1111010111000000110100111000111101110110101000000111010002
- Hexadecimal: 0x1EB81A71EED40E8
- Base-36: 11U7U3ZBWMI0
Squares and roots of 138346768343318760
- 138346768343318760 squared (1383467683433187602) is 19139828311039905797403130967937600
- 138346768343318760 cubed (1383467683433187603) is 2647933393478331808454300731376132729706736589376000
-
The
square root of 138346768343318760 is 371949954.0843079067 -
The
cube root of 138346768343318760 is 517197.4079159433
Scales and comparisons
How big is 138346768343318760?- 138,346,768,343,318,760 seconds is equal to 4,398,999,298 years, 34 weeks, 4 days, 8 hours, 6 minutes.
-
To count from 1 to 138,346,768,343,318,760 would take you about thirteen billion, one hundred ninety-six million, nine hundred ninety-seven thousand, eight hundred ninety-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 138346768343318760 cubic inches would be around 43099.8 feet tall.
Recreational maths with 138346768343318760
- 138346768343318760 backwards is 067813343867643831
- 138346768343318760 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138346768343318760's digits is 81
- More coming soon!
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"Number 138346768343318760 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138346768343318760 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138346768343318760/
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The information we have on file for 138346768343318760 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 138346768343318760, math, Factors of 138346768343318760, curriculum, school, college, exams, university, Prime factorization of 138346768343318760, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred forty-six trillion, seven hundred sixty-eight billion, three hundred forty-three million, three hundred eighteen thousand, seven hundred sixty.