138180363969375
138,180,363,969,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138180363969375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138180363969375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138180363969375:
38 × 54 × 7 × 13 × 29 × 1132
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 29 × 113 × 113)See below for interesting mathematical facts about the number 138180363969375 from the Numbermatics database.
Names of 138180363969375
- Cardinal: 138180363969375 can be written as One hundred thirty-eight trillion, one hundred eighty billion, three hundred sixty-three million, nine hundred sixty-nine thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38180363969375 × 1014
Factors of 138180363969375
Divisors of 138180363969375
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 29 35 39 45 63 65 75 81 87 91 105 113 117 125 135 145 175 189 195 203 225 243 261 273 315 325 339 351 375 377 405 435 455 525 565 567 585 609 625 675 725 729 783 791 819 875 945 975 1015 1017 1053 1125 1131 1215 1305 1365 1469 1575 1625 1695 1701 1755 1827 1875 1885 2025 2175 2187 2275 2349 2373 2457 2625 2639 2825 2835 2925 3045 3051 3159 3277 3375 3393 3625 3645 3915 3955 4095 4375 4407 4725 4875 5075 5085 5103 5265 5481 5625 5655 6075 6525 6561 6825 7047 7119 7345 7371 7875 7917 8125 8475 8505 8775 9135 9153 9425 9477 9831 10125 10179 10283 10875 10935 11375 11745 11865 12285 12769 13125 13195 13221 14125 14175 14625 15225 15255 15309 15795 16385 16443 16875 16965 18125 18225 19575 19775 20475 21141 21357 22035 22113 22939 23625 23751 24375 25375 25425 25515 26325 27405 27459 28275 28431 29493 30375 30537 30849 32625 32805 34125 35235 35595 36725 36855 38307 39375 39585 39663 42375 42525 42601 43875 45675 45765 45927 47125 47385 49155 49329 50625 50895 51415 54375 54675 56875 58725 59325 61425 63423 63845 64071 65975 66105 66339 68817 70625 70875 71253 73125 76125 76275 76545 78975 81925 82215 82377 84825 85293 88479 89383 91125 91611 92547 97875 98875 102375 105705 106785 110175 110565 114695 114921 118125 118755 118989 126875 127125 127575 127803 131625 137025 137295 141375 142155 147465 147987 151875 152685 154245 163125 164025 165997 170625 176175 177975 183625 184275 190269 191535 192213 197925 198315 199017 206451 211875 212625 213005 213759 219375 228375 228825 229635 235625 236925 245775 246645 247131 254475 257075 265437 268149 273375 274833 277641 293625 296625 298207 307125 317115 319225 320355 329875 330525 331695 344085 344763 354375 356265 356967 370301 380625 381375 382725 383409 394875 409625 411075 411885 424125 426465 442395 443961 446915 455625 458055 462735 489375 494375 497991 511875 528525 533925 550875 552825 573475 574605 576639 593775 594945 597051 619353 635625 637875 639015 641277 658125 685125 686475 706875 710775 737325 739935 741393 763425 771225 796311 804447 820125 824499 829985 832923 880875 889875 894621 918125 921375 951345 957675 961065 989625 991575 995085 1032255 1034289 1063125 1065025 1068795 1070901 1110903 1141875 1144125 1148175 1150227 1161979 1184625 1228875 1233225 1235655 1272375 1285375 1327185 1331883 1340745 1366875 1374165 1388205 1468125 1483125 1491035 1493973 1535625 1585575 1596125 1601775 1649375 1652625 1658475 1720425 1723815 1729917 1781325 1784835 1851505 1858059 1906875 1913625 1917045 1923831 1974375 2048125 2055375 2059425 2120625 2132325 2211975 2219805 2234575 2290275 2313675 2388933 2413341 2473497 2489955 2498769 2592107 2642625 2669625 2683863 2754375 2764125 2867375 2873025 2883195 2968875 2974725 2985255 3096765 3102867 3189375 3195075 3206385 3212703 3332709 3425625 3432375 3450681 3485937 3553875 3686625 3699675 3706965 3817125 3856125 3981555 4022235 4100625 4122495 4149925 4164615 4404375 4449375 4473105 4481919 4606875 4756725 4788375 4805325 4813913 4948125 4957875 4975425 5161275 5171445 5189751 5325125 5343975 5354505 5554515 5574177 5720625 5740875 5751135 5771493 5809895 5923125 6144375 6166125 6178275 6361875 6426875 6635925 6659415 6703725 6870825 6941025 7166799 7240023 7455175 7469865 7496307 7776321 7927875 7980625 8008875 8051589 8263125 8292375 8602125 8619075 8649585 8906625 8924175 9257525 9290295 9308601 9568125 9585225 9619155 9638109 9998127 10276875 10297125 10352043 10457811 10661625 11059875 11099025 11172875 11451375 11568375 11944665 12066705 12367485 12449775 12493845 12960535 13213125 13348125 13419315 13445757 13820625 14336875 14365125 14415975 14441739 14844375 14873625 14926275 15483825 15514335 15975375 16031925 16063515 16663545 16722531 17161875 17253405 17314479 17429685 17769375 18433125 18498375 18534825 19085625 19280625 19907775 20111175 20612475 20749625 20823075 21500397 21720069 22365525 22409595 22488921 23328963 23783625 23941875 24026625 24069565 24154767 24789375 24877125 25806375 25857225 25948755 26625625 26719875 26772525 27772575 27870885 27925803 28704375 28755675 28857465 29049475 29994381 30830625 30891375 31056129 31373433 33179625 33297075 33518625 33697391 34354125 34705125 35833995 36200115 37275875 37349325 37481535 38881605 39639375 40044375 40257945 40337271 41461875 43010625 43095375 43247925 43325217 44533125 44620875 46287625 46451475 46543005 47926125 48095775 48190545 49990635 50167593 51485625 51760215 52289055 53308125 55299375 55495125 55864375 57256875 57841875 59723325 60333525 61837425 62248875 62469225 64802675 65160207 67096575 67228785 67466763 69986889 71825625 72079875 72208695 72464301 74368125 74631375 77419125 77571675 79876875 80159625 80317575 83317725 83612655 83777409 86267025 86572395 87148425 89983143 92491875 92674125 93168387 94120299 99538875 100555875 101092173 103062375 103748125 104115375 107501985 108600345 111827625 112047975 112444605 116644815 118918125 120133125 120347825 120773835 121011813 124385625 129031875 129286125 129743775 129975651 133599375 133862625 138862875 139354425 139629015 143778375 144287325 145247375 149971905 150502779 154456875 155280645 156867165 165898125 166485375 167593125 168486955 171770625 173525625 179169975 181000575 186379375 186746625 187407675 194408025 195480621 201289725 201686355 209960667 215476875 216239625 216626085 217392903 223104375 231438125 232257375 232715025 239630625 240478875 240952725 249953175 250837965 258801075 261445275 269949429 277475625 279505161 282360897 298616625 301667625 303276519 309187125 311244375 312346125 324013375 325801035 335482875 336143925 337333815 349934445 360399375 361043475 362321505 363035439 373156875 387095625 387858375 389926953 400798125 401587875 416588625 418063275 418887045 431335125 432861975 435742125 449915715 463370625 465841935 470601495 497694375 502779375 505460865 515311875 520576875 537509925 543001725 559138125 560239875 562223025 583224075 586441863 601739125 603869175 605059065 629882001 646430625 648718875 649878255 652178709 669313125 694314375 696772125 698145075 718891875 721436625 726236875 749859525 752513895 776403225 784335825 809848287 832426875 842434775 847082691 895849875 905002875 909829557 933733125 937038375 972040125 977403105 1006448625 1008431775 1049803335 1081198125 1083130425 1086964515 1089106317 1161286875 1163575125 1169780859 1202394375 1204763625 1249765875 1254189825 1294005375 1307226375 1349747145 1397525805 1411804485 1493083125 1508338125 1516382595 1545935625 1561730625 1620066875 1629005175 1677414375 1680719625 1686669075 1749672225 1805217375 1811607525 1815177195 1889646003 1939291875 1949634765 1956536127 2007939375 2082943125 2090316375 2094435225 2156675625 2164309875 2178710625 2249578575 2329209675 2353007475 2429544861 2527304325 2541248073 2687549625 2715008625 2729488671 2801199375 2811115125 2916120375 2932209315 3008695625 3019345875 3025295325 3149410005 3243594375 3249391275 3260893545 3483860625 3490725375 3509342577 3607183125 3749297625 3762569475 3882016125 3921679125 4049241435 4212173875 4235413455 4479249375 4525014375 4549147785 4685191875 4860200625 4887015525 5032243125 5042158875 5249016675 5415652125 5434822575 5445531585 5668938009 5817875625 5848904295 6023818125 6248829375 6270949125 6470026875 6536131875 6748735725 6987629025 7059022425 7581912975 7623744219 8145025875 8188466013 8403598125 8433345375 8748361125 9026086875 9058037625 9075885975 9448230015 9748173825 9782680635 10451581875 10472176125 10528027731 10821549375 11247892875 11646048375 11765037375 12147724305 12636521625 12706240365 13437748125 13575043125 13647443355 14055575625 14580601875 14661046575 15096729375 15126476625 15747050025 16246956375 16304467725 17006814027 17453626875 17546712885 18746488125 18812847375 19410080625 19608395625 20246207175 21060869375 21177067275 22745738925 24435077625 24565398039 25210794375 26245083375 27078260625 27174112875 27227657925 28344690045 29244521475 31354745625 31584083193 33743678625 34938145125 35295112125 37909564875 38118721095 40725129375 40942330065 42166726875 43741805625 45290188125 45379429875 47241150075 48740869125 48913403175 52360880625 52640138655 56239464375 58230241875 58825186875 60738621525 63182608125 63531201825 68237216775 73305232875 73696194117 75632383125 78735250125 81234781875 81522338625 85034070135 87733564425 94064236875 101231035875 105885336375 113728694625 122175388125 122826990195 131225416875 135870564375 136138289625 141723450225 146222607375 157920415965 168718393125 174690725625 176475560625 189547824375 190593605475 204711650325 221088582351 226897149375 236205750375 243704345625 244567015875 263200693275 303693107625 317656009125 341186083875 366526164375 368480970585 393676250625 407611693125 425170350675 438667822125 506155179375 529426681875 568643473125 614134950975 680691448125 708617251125 731113036875 789602079825 952968027375 1023558251625 1105442911755 1181028751875 1222835079375 1316003466375 1518465538125 1588280045625 1705930419375 1842404852925 2125851753375 2193339110625 3070674754875 3543086255625 3948010399125 4764840136875 5117791258125 5527214558775 6580017331875 9212024264625 10629258766875 15353373774375 19740051995625 27636072793875 46060121323125 138180363969375
- Sum of all divisors σ(n): 332695211328480
- Sum of proper divisors (its aliquot sum) s(n): 194514847359105
- 138180363969375 is an abundant number, because the sum of its proper divisors (194514847359105) is greater than itself. Its abundance is 56334483389730
Bases of 138180363969375
- Binary: 111110110101100100111111000001001100011010111112
- Hexadecimal: 0x7DAC9F82635F
- Base-36: 1CZB6KZUXR
Squares and roots of 138180363969375
- 138180363969375 squared (1381803639693752) is 19093812986708948705937890625
- 138180363969375 cubed (1381803639693753) is 2638390028066621671525865133835339599609375
-
The
square root of 138180363969375 is 11755014.4180845223 -
The
cube root of 138180363969375 is 51698.9961942683
Scales and comparisons
How big is 138180363969375?- 138,180,363,969,375 seconds is equal to 4,393,708 years, 8 weeks, 3 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,180,363,969,375 would take you about ten million, nine hundred eighty-four thousand, two hundred seventy 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 138180363969375 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138180363969375
- 138180363969375 backwards is 573969363081831
- The number of decimal digits it has is: 15
- The sum of 138180363969375's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138180363969375 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138180363969375 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138180363969375/
Chicago style:
Numbermatics. 2024. "Number 138180363969375 - Facts about the integer". https://numbermatics.com/n/138180363969375/
The information we have on file for 138180363969375 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 138180363969375, math, Factors of 138180363969375, curriculum, school, college, exams, university, Prime factorization of 138180363969375, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred eighty billion, three hundred sixty-three million, nine hundred sixty-nine thousand, three hundred seventy-five.