138018319447008
138,018,319,447,008 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138018319447008 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138018319447008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138018319447008:
25 × 3 × 7 × 11 × 132 × 232 × 4572
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 13 × 23 × 23 × 457 × 457)See below for interesting mathematical facts about the number 138018319447008 from the Numbermatics database.
Names of 138018319447008
- Cardinal: 138018319447008 can be written as One hundred thirty-eight trillion, eighteen billion, three hundred nineteen million, four hundred forty-seven thousand and eight.
Scientific notation
- Scientific notation: 1.38018319447008 × 1014
Factors of 138018319447008
Divisors of 138018319447008
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 23 24 26 28 32 33 39 42 44 46 48 52 56 66 69 77 78 84 88 91 92 96 104 112 132 138 143 154 156 161 168 169 176 182 184 208 224 231 253 264 273 276 286 299 308 312 322 336 338 352 364 368 416 429 457 462 483 506 507 528 529 546 552 572 598 616 624 644 672 676 728 736 759 858 897 914 924 966 1001 1012 1014 1056 1058 1092 1104 1144 1183 1196 1232 1248 1288 1352 1371 1456 1518 1587 1716 1771 1794 1828 1848 1859 1932 2002 2024 2028 2093 2116 2184 2208 2288 2366 2392 2464 2576 2704 2742 2912 3003 3036 3174 3199 3289 3432 3542 3549 3588 3656 3696 3703 3718 3864 3887 4004 4048 4056 4186 4232 4368 4576 4732 4784 5027 5152 5313 5408 5484 5577 5819 5941 6006 6072 6279 6348 6398 6578 6864 6877 7084 7098 7176 7312 7392 7406 7436 7728 7774 8008 8096 8112 8372 8464 8736 9464 9568 9597 9867 10054 10511 10626 10968 11109 11154 11638 11661 11882 12012 12144 12558 12696 12796 13013 13156 13728 13754 14168 14196 14352 14624 14812 14872 15081 15456 15548 16016 16224 16744 16928 17457 17823 18928 19194 19734 20108 20631 21022 21252 21936 22218 22308 23023 23276 23322 23764 24024 24288 25116 25392 25592 26026 26312 27209 27508 28336 28392 28704 29624 29744 30162 31096 31533 32032 33488 34914 35189 35646 37856 38388 39039 39468 40216 40733 41262 41587 42044 42504 42757 43872 44436 44616 46046 46552 46644 47528 48048 48139 50232 50784 51184 52052 52624 54418 55016 56672 56784 59248 59488 60324 62192 63066 65351 66976 69069 69828 70378 71292 73577 75647 76776 77233 78078 78936 80432 81466 81627 82524 83174 84088 85008 85514 88872 89232 89401 92092 93104 93288 95056 96096 96278 100464 102368 104104 105248 105567 108836 110032 113568 115621 118496 120648 122199 124384 124761 126132 128271 130702 136643 138138 139656 140756 142584 144417 147154 151294 153552 154466 156156 157872 160864 162932 163254 165048 166348 168176 170016 171028 177744 178464 178802 184184 186208 186576 190112 192556 196053 200928 208208 208849 211134 217672 220064 220731 226941 231242 231699 241296 241753 244398 249522 252264 256542 261404 268203 273286 276276 279312 281512 285168 288834 294308 299299 302588 307104 308932 312312 315744 325864 326508 330096 332696 336352 342056 346863 355488 357604 368368 373152 385112 392106 409929 416416 417698 422268 435344 441462 453882 457457 462484 463398 482592 483506 488796 499044 504528 513084 522808 529529 536406 540631 546572 552552 558624 563024 570336 577668 588616 598598 605176 617864 624624 625807 626547 651728 653016 660192 665392 684112 693726 715208 725259 736736 770224 784212 809347 819858 835396 844536 849563 870688 882924 897897 907764 914914 924968 926796 956501 967012 977592 983411 998088 1009056 1026168 1045616 1059058 1072812 1081262 1093144 1105104 1126048 1155336 1177232 1197196 1210352 1235728 1249248 1251614 1253094 1303456 1306032 1330784 1368224 1372371 1387452 1430416 1450518 1461943 1503073 1540448 1568424 1588587 1618694 1621893 1639716 1670792 1689072 1692271 1699126 1765848 1776359 1795794 1815528 1829828 1849936 1853592 1877421 1913002 1934024 1955184 1966822 1996176 2052336 2091232 2118116 2145624 2162524 2186288 2210208 2297339 2310672 2354464 2394392 2420704 2428041 2471456 2503228 2506188 2548689 2612064 2659283 2715037 2744742 2774904 2860832 2869503 2901036 2923886 2950233 3006146 3136848 3142789 3177174 3237388 3243786 3279432 3341584 3378144 3384542 3398252 3531696 3552718 3591588 3631056 3659656 3699872 3707184 3754842 3826004 3868048 3910368 3933644 3992352 4104672 4236232 4291248 4325048 4372576 4385829 4509219 4594678 4621344 4788784 4803527 4856082 5006456 5012376 5076813 5097378 5318566 5329077 5430074 5489484 5549808 5739006 5802072 5847772 5900466 5946941 6012292 6273696 6285578 6354348 6474776 6487572 6558864 6683168 6769084 6796504 6883877 6892017 7063392 7105436 7183176 7262112 7319312 7414368 7509684 7652008 7736096 7867288 7977849 8145111 8472464 8582496 8650096 8771658 9018438 9189356 9428367 9577568 9607054 9712164 10012912 10024752 10153626 10194756 10521511 10637132 10658154 10860148 10978968 11099616 11478012 11604144 11695544 11800932 11893882 12024584 12434513 12571156 12708696 12949552 12975144 13117728 13538168 13593008 13767754 13784034 14210872 14366352 14410581 14638624 15019368 15304016 15734576 15955698 16081373 16290222 16944928 17300192 17543316 17840823 18036876 18378712 18614981 18856734 19005259 19214108 19424328 19539949 20025824 20049504 20307252 20389512 20651631 21043022 21274264 21316308 21720296 21957936 21999523 22956024 23208288 23391088 23601864 23787764 24049168 24869026 25142312 25417392 25899104 25950288 27076336 27186016 27535508 27568068 28421744 28732704 28821162 29865407 30038736 30608032 31469152 31564533 31911396 32162746 32580444 33624689 34570679 35086632 35295481 35681646 36073752 36757424 37229962 37303539 37713468 38010518 38428216 38848656 39079898 40614504 40779024 40856257 41303262 42086044 42548528 42632616 43440592 43915872 43999046 45912048 46782176 47203728 47575528 48098336 48244119 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23231496288 23718563232 24747771104 25167454312 25521138951 25977474016 26789270079 27455404704 28849983162 29167015944 30161346033 31597600606 32613024444 32971409328 34028185268 34095434646 34470109752 35507671584 35719026772 37121656656 37272027936 37342618898 37751181468 38466644216 38889354592 38966211024 40215128044 41963611872 43144207392 43484032592 45460579528 45960146336 47396400909 50334908624 51042277902 53578540158 56013928347 57699966324 58334031888 60322692066 62508296851 63195201212 65226048888 65942818656 68056370536 68190869292 68940219504 71438053544 74243313312 74685237796 75502362936 76933288432 77932422048 80430256088 86968065184 90921159056 94792801818 100669817248 102084555804 107157080316 110591602121 112027856694 115399932648 116668063776 120645384132 125016593702 126390402424 130452097776 130699166143 136112741072 136381738584 137880439008 142876107088 149370475592 151004725872 153866576864 160860512176 181842318112 187524890553 189585603636 204169111608 205384403939 214314160632 221183204242 224055713388 230799865296 241290768264 250033187404 252780804848 260904195552 261398332286 272225482144 272763477168 285752214176 298740951184 302009451744 321721024352 331774806363 375049781106 379171207272 392097498429 408338223216 410768807878 428628321264 442366408484 448111426776 461599730592 482581536528 500066374808 505561609696 522796664572 545526954336 597481902368 616153211817 663549612726 750099562212 758342414544 784194996858 816676446432 821537615756 857256642528 884732816968 896222853552 965163073056 1000132749616 1045593329144 1232306423634 1327099225452 1437690827573 1500199124424 1516684829088 1568389993716 1643075231512 1769465633936 1792445707104 2000265499232 2091186658288 2464612847268 2654198450904 2875381655146 3000398248848 3136779987432 3286150463024 3538931267872 4182373316576 4313072482719 4929225694536 5308396901808 5750763310292 6000796497696 6273559974864 6572300926048 8626144965438 9858451389072 10616793803616 11501526620584 12547119949728 17252289930876 19716902778144 23003053241168 34504579861752 46006106482336 69009159723504 138018319447008
- Sum of all divisors σ(n): 512426696777856
- Sum of proper divisors (its aliquot sum) s(n): 374408377330848
- 138018319447008 is an abundant number, because the sum of its proper divisors (374408377330848) is greater than itself. Its abundance is 236390057883840
Bases of 138018319447008
- Binary: 111110110000110111001001110011100110011111000002
- Hexadecimal: 0x7D86E4E733E0
- Base-36: 1CX8QNVD9C
Squares and roots of 138018319447008
- 138018319447008 squared (1380183194470082) is 19049056502976346678920152064
- 138018319447008 cubed (1380183194470083) is 2629118765591894514668242899348399749824512
-
The
square root of 138018319447008 is 11748119.8260405907 -
The
cube root of 138018319447008 is 51678.7791006381
Scales and comparisons
How big is 138018319447008?- 138,018,319,447,008 seconds is equal to 4,388,555 years, 33 weeks, 1 day, 20 hours, 36 minutes, 48 seconds.
-
To count from 1 to 138,018,319,447,008 would take you about ten million, nine hundred seventy-one thousand, three hundred eighty-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 138018319447008 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138018319447008
- 138018319447008 backwards is 800744913810831
- The number of decimal digits it has is: 15
- The sum of 138018319447008's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138018319447008 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 138018319447008 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/138018319447008/
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Numbermatics. 2024. "Number 138018319447008 - Facts about the integer". https://numbermatics.com/n/138018319447008/
The information we have on file for 138018319447008 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 138018319447008, math, Factors of 138018319447008, curriculum, school, college, exams, university, Prime factorization of 138018319447008, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eighteen billion, three hundred nineteen million, four hundred forty-seven thousand and eight.