518138668331830
518,138,668,331,830 is an even composite number composed of seven prime numbers multiplied together.
What does the number 518138668331830 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
518138668331830 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 518138668331830:
2 × 5 × 7 × 134 × 172 × 612 × 241
(2 × 5 × 7 × 13 × 13 × 13 × 13 × 17 × 17 × 61 × 61 × 241)See below for interesting mathematical facts about the number 518138668331830 from the Numbermatics database.
Names of 518138668331830
- Cardinal: 518138668331830 can be written as Five hundred eighteen trillion, one hundred thirty-eight billion, six hundred sixty-eight million, three hundred thirty-one thousand, eight hundred thirty.
Scientific notation
- Scientific notation: 5.1813866833183 × 1014
Factors of 518138668331830
Divisors of 518138668331830
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 5 7 10 13 14 17 26 34 35 61 65 70 85 91 119 122 130 169 170 182 221 238 241 289 305 338 427 442 455 482 578 595 610 793 845 854 910 1037 1105 1183 1190 1205 1445 1547 1586 1687 1690 2023 2074 2135 2197 2210 2366 2410 2873 2890 3094 3133 3374 3721 3757 3965 4046 4097 4270 4394 5185 5551 5746 5915 6266 7259 7442 7514 7735 7930 8194 8435 10115 10309 10370 10985 11102 11830 13481 14365 14518 14701 15379 15470 15665 16870 17629 18605 18785 20111 20230 20485 20618 21931 21970 26047 26299 26962 27755 28561 28679 28730 29402 30758 31330 35258 36295 37210 37349 37570 40222 40729 40970 43862 48373 48841 51545 52094 52598 53261 55510 57122 57358 63257 67405 69649 72163 72590 73505 74698 76895 81458 88145 94367 96746 97682 100555 102907 103090 106522 109655 123403 126514 130235 131495 134017 134810 139298 142805 143395 144326 147010 153790 175253 176290 186745 188734 191113 199927 201110 203645 205814 219310 229177 241865 244205 246806 249917 260470 261443 262990 266305 268034 285103 285610 286790 316285 338611 341887 348245 350506 360815 372827 373490 382226 399854 407290 442799 458354 471835 483730 485537 487543 488410 499834 514535 522886 529477 532610 570206 617015 628849 632570 634933 670085 677222 683774 692393 696490 721630 745654 822341 876265 885598 896761 905437 938119 943670 955565 971074 975086 999635 1029070 1058954 1075369 1145885 1226771 1234030 1249585 1257698 1269866 1307215 1337791 1340170 1384786 1425515 1604239 1644682 1693055 1709435 1742221 1749419 1752530 1793522 1810874 1864135 1876238 1911130 1999270 2150738 2213995 2278289 2291770 2427685 2437715 2453542 2484469 2499170 2614430 2647385 2675582 2851030 2979301 3144245 3174665 3208478 3248921 3386110 3398759 3418870 3461965 3484442 3498838 3706339 3728270 4111705 4248589 4401943 4427990 4444531 4483805 4527185 4556578 4690595 4846751 4855370 4875430 4968938 5294770 5376845 5756387 5958602 6133855 6277327 6288490 6338059 6349330 6497842 6688955 6797518 6883201 6923930 7412678 7527583 8021195 8175037 8223410 8254129 8497178 8711105 8747095 8803886 8889062 8967610 9001109 9054370 9381190 9693502 10690433 10753690 11391445 11512774 11657893 11770681 12195547 12267710 12422345 12554654 12676118 13377910 13766402 13979797 14896505 15055166 15244937 15948023 16042390 16244605 16350074 16508258 16993795 17391283 17422210 17494190 18002218 18531695 20855107 21242945 21380866 22009715 22222655 22742447 22782890 23315786 23541362 24233755 24391094 24844690 27959594 28781935 29617757 29740123 29793010 30489874 31386635 31690295 31896046 32298097 32489210 33987590 34416005 34782566 37063390 37637915 38730913 40875185 41270645 41710214 42235973 42485890 44019430 44445310 45005545 45484894 48182407 48467510 53452165 55231657 57225259 57563870 57778903 58289465 58853405 59235514 59480246 60977735 62773270 63007763 63380590 64596194 68832010 69898985 74833031 75275830 76224685 77461826 79740115 81605251 81750370 82394767 82541290 84471946 86956415 90011090 96364814 97858579 104275535 106275481 106714559 106904330 110463314 113712235 114450518 115557806 116578930 117014417 117706810 121955470 126015526 138975629 139797970 148088785 148700615 149666062 151552609 152449370 153018853 159480230 161490485 163210502 164789534 173912830 181737361 193654565 195717158 198184181 207324299 208551070 211179865 212550962 213429118 226086679 227424470 234028834 240912035 259163929 271116391 276158285 277951258 286126295 288894515 295651811 296177570 297401230 303105218 306037706 315038815 322980970 363474722 374165155 386621599 387309130 396368362 408026255 411973835 414648598 419875261 422359730 452173358 481824070 489292895 503501869 518327858 531377405 533572795 542232782 549067649 552316570 572252590 577789030 585072085 591303622 630077630 694878145 718011541 743928367 748330310 757763045 765094265 773243198 816052510 819100919 823947670 839750522 908686805 972829403 978585790 990920905 1007003738 1036621495 1060868263 1062754810 1067145590 1071131971 1098135298 1130433395 1170144170 1272161527 1295819645 1355581955 1387289267 1389756290 1436023082 1478259055 1487856734 1515526090 1530188530 1638201838 1806683177 1814147503 1817373610 1933107995 1945658806 1970183917 1981841810 1989245089 2073242990 2099376305 2121736526 2142263942 2260866790 2362585693 2517509345 2544323054 2576394353 2591639290 2711163910 2745338245 2774578534 2939126827 2956518110 3369131077 3524513083 3590057705 3613366354 3628295006 3719641835 3843473543 3866215990 3940367834 3978490178 4095504595 4198752610 4725171386 4864147015 5026080787 5035018690 5152788706 5304341315 5355659855 5490676490 5878253654 6360807635 6738262154 6936446335 7049026166 7137879437 7180115410 7439283670 7686947086 8191009190 9033415885 9070737515 9334150033 9728294030 9850919585 9946225445 10052161574 10608682630 10711319710 11812928465 12646782239 12721615270 12881971765 13791287419 13872892670 13924715623 14275758874 14695634135 16538099851 16845655385 17622565415 18034760471 18066831770 18141475030 18668300066 19217367715 19701839170 19892450890 23583917539 23625856930 25130403935 25293564478 25612390921 25763943530 27582574838 27849431246 29391268270 30713614009 33076199702 33493126589 33691310770 35245130830 35689397185 36069520942 38434735430 43798704001 46670750165 47167835078 49965156059 50260807870 51224781842 61427228018 63233911195 65339050231 66986253178 68956437095 69623578115 71378794370 82690499255 87597408002 90173802355 93341500330 99930312118 117919587695 121343950429 126467822390 128061954605 130678100462 137912874190 139247156230 153568070045 165380998510 167465632945 179286736447 180347604710 214995298063 218993520005 234451886123 235839175390 242687900858 249825780295 256123909210 306590928007 307136140090 326695251155 334931265890 358573472894 429990596126 435410645657 437987040010 468903772246 499651560590 569383152013 606719752145 613181856014 653390502310 849407653003 870821291314 896433682235 1074976490315 1138766304026 1172259430615 1213439504290 1532954640035 1698815306006 1792867364470 2149952980630 2177053228285 2344518861230 2846915760065 3047874519599 3065909280070 3985682064091 4247038265015 4354106456570 5693831520130 6095749039198 7401980976169 7971364128182 8494076530030 14803961952338 15239372597995 19928410320455 30478745195990 37009904880845 39856820640910 51813866833183 74019809761690 103627733666366 259069334165915 518138668331830
- Sum of all divisors σ(n): 1252238121227808
- Sum of proper divisors (its aliquot sum) s(n): 734099452895978
- 518138668331830 is an abundant number, because the sum of its proper divisors (734099452895978) is greater than itself. Its abundance is 215960784564148
Bases of 518138668331830
- Binary: 11101011100111110100011110100010100110011001101102
- Hexadecimal: 0x1D73E8F453336
- Base-36: 53NXM96IBA
Squares and roots of 518138668331830
- 518138668331830 squared (5181386683318302) is 268467679620682132514991148900
- 518138668331830 cubed (5181386683318303) is 139103486008796615521247955955285178139487000
-
The
square root of 518138668331830 is 22762659.5179875675 -
The
cube root of 518138668331830 is 80318.4529732139
Scales and comparisons
How big is 518138668331830?- 518,138,668,331,830 seconds is equal to 16,475,206 years, 49 weeks, 21 hours, 57 minutes, 10 seconds.
-
To count from 1 to 518,138,668,331,830 would take you about forty-one million, one hundred eighty-eight thousand and seventeen 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 518138668331830 cubic inches would be around 6693.2 feet tall.
Recreational maths with 518138668331830
- 518138668331830 backwards is 038133866831815
- The number of decimal digits it has is: 15
- The sum of 518138668331830's digits is 64
- More coming soon!
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The information we have on file for 518138668331830 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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