138329519328
138,329,519,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138329519328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138329519328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138329519328:
25 × 32 × 7 × 112 × 13 × 181 × 241
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 13 × 181 × 241)See below for interesting mathematical facts about the number 138329519328 from the Numbermatics database.
Names of 138329519328
- Cardinal: 138329519328 can be written as One hundred thirty-eight billion, three hundred twenty-nine million, five hundred nineteen thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38329519328 × 1011
Factors of 138329519328
Divisors of 138329519328
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 66 72 77 78 84 88 91 96 99 104 112 117 121 126 132 143 144 154 156 168 176 181 182 198 208 224 231 234 241 242 252 264 273 286 288 308 312 336 352 362 363 364 396 416 429 462 468 482 484 504 528 543 546 572 616 624 672 693 723 724 726 728 792 819 847 858 924 936 964 968 1001 1008 1056 1086 1089 1092 1144 1232 1248 1267 1287 1386 1446 1448 1452 1456 1573 1584 1629 1638 1687 1694 1716 1848 1872 1928 1936 1991 2002 2016 2169 2172 2178 2184 2288 2353 2464 2534 2541 2574 2651 2772 2892 2896 2904 2912 3003 3133 3146 3168 3258 3276 3374 3388 3432 3696 3744 3801 3856 3872 3982 4004 4338 4344 4356 4368 4576 4706 4719 5061 5068 5082 5148 5302 5544 5784 5792 5808 5973 6006 6266 6292 6516 6552 6748 6776 6864 7059 7392 7602 7623 7712 7953 7964 8008 8676 8688 8712 8736 9009 9399 9412 9438 10122 10136 10164 10296 10604 11011 11088 11403 11568 11616 11946 12012 12532 12584 13032 13104 13496 13552 13728 13937 14118 14157 15183 15204 15246 15906 15928 16016 16471 17352 17376 17424 17919 18018 18557 18798 18824 18876 20244 20272 20328 20592 21177 21208 21901 21931 22022 22176 22806 23136 23859 23892 24024 25064 25168 25883 26064 26208 26992 27104 27874 28197 28236 28314 29161 30366 30408 30492 31812 31856 32032 32942 33033 34463 34704 34848 35838 36036 37114 37596 37648 37752 40488 40544 40656 41184 41811 42354 42416 43621 43802 43862 44044 45612 47718 47784 48048 49413 50128 50336 51766 52128 53984 55671 55748 56394 56472 56628 58322 60732 60816 60984 63624 63712 65703 65793 65884 66066 68926 69408 71676 72072 74228 75192 75296 75504 77649 80976 81312 83622 84708 84832 87242 87483 87604 87724 88088 91224 95436 95568 96096 98826 99099 100256 103389 103532 111342 111496 112788 112944 113256 116644 121464 121632 121968 125433 127248 130863 131406 131586 131768 132132 137852 143352 144144 148239 148456 150384 151008 153307 155298 161952 167013 167244 169416 174484 174966 175208 175448 176176 181181 182448 190872 191136 197109 197379 197652 198198 204127 206778 207064 222684 222992 225576 225888 226512 232947 233288 241241 242928 243936 250866 254496 261726 262449 262812 263172 263536 264264 275704 284713 286704 288288 296478 296912 300768 305347 306614 310167 310596 334026 334488 338832 348968 349932 350416 350896 352352 362362 364896 379093 381744 392589 394218 394758 395304 396396 408254 413556 414128 445368 445984 451152 453024 459921 465894 466576 479831 482482 485856 501732 523452 524898 525624 526344 527072 528528 543543 551408 567073 569426 573408 592956 593824 610694 612381 613228 620334 621192 668052 668976 677664 697936 699864 700832 701792 723723 724724 758186 763488 785178 788436 789516 790608 792792 816508 827112 828256 854139 890736 902304 916041 919842 931788 933152 959662 964964 1003464 1046904 1049796 1051248 1052688 1057056 1087086 1102816 1134146 1137279 1138852 1185912 1221388 1224762 1226456 1240668 1242384 1336104 1337952 1379763 1395872 1399728 1439493 1447446 1449448 1516372 1570356 1576872 1579032 1581216 1585584 1630629 1633016 1654224 1701219 1708278 1781472 1832082 1837143 1839684 1863576 1919324 1929928 1992991 2006928 2093808 2099592 2102496 2105376 2171169 2174172 2268292 2274558 2277704 2371824 2442776 2449524 2452912 2481336 2484768 2562417 2653651 2672208 2748123 2759526 2799456 2878986 2894892 2898896 3032744 3140712 3153744 3158064 3171168 3261258 3266032 3308448 3358817 3402438 3411837 3416556 3664164 3674286 3679368 3727152 3838648 3859856 3969511 3985982 4013856 4187616 4199184 4318479 4342338 4348344 4536584 4549116 4555408 4743648 4885552 4899048 4905824 4962672 5103657 5124834 5278141 5307302 5344416 5496246 5519052 5757972 5789784 5797792 5978973 6065488 6237803 6281424 6307488 6316128 6522516 6532064 6717634 6804876 6823674 6833112 7328328 7348572 7358736 7454304 7677296 7719712 7939022 7960953 7971964 8398368 8636958 8684676 8696688 9073168 9098232 9110816 9771104 9798096 9925344 10076451 10207314 10249668 10556282 10614604 10992492 11038104 11515944 11579568 11908533 11957946 12130976 12475606 12562848 13045032 13435268 13609752 13647348 13666224 14656656 14697144 14717472 15354592 15834423 15878044 15921906 15943928 17273916 17369352 17393376 17936919 18146336 18196464 18713409 19596192 20152902 20414628 20499336 21112564 21229208 21984984 22076208 23031888 23159136 23817066 23882859 23915892 24951212 26090064 26870536 27219504 27294696 27332448 29313312 29394288 30229353 31668846 31756088 31843812 31887856 34547832 34738704 35725599 35873838 36392928 36946987 37426818 40305804 40829256 40998672 42225128 42458416 43664621 43969968 44152416 46063776 47503269 47634132 47765718 47831784 49902424 52180128 53741072 54439008 54589392 56140227 58788576 60458706 63337692 63512176 63687624 63775712 68615833 69095664 69477408 71451198 71747676 73893974 74853636 80611608 81658512 81997344 84450256 84916832 87329242 87939936 95006538 95268264 95531436 95663568 99804848 107482144 109178784 110840961 112280454 120917412 126675384 127024352 127375248 130993863 137231666 138191328 142902396 143495352 147787948 149707272 161223216 163317024 168900512 174658484 190013076 190536528 191062872 191327136 199609696 205847499 221681922 224560908 241834824 253350768 254750496 261987726 274463332 285804792 286990704 295575896 299414544 322446432 332522883 349316968 380026152 381073056 382125744 392981589 411694998 443363844 449121816 480310831 483669648 506701536 523975452 548926664 571609584 573981408 591151792 598829088 617542497 665045766 698633936 760052304 764251488 785963178 823389996 886727688 898243632 960621662 967339296 1047950904 1097853328 1143219168 1182303584 1235084994 1330091532 1397267872 1440932493 1520104608 1571926356 1646779992 1773455376 1796487264 1921243324 2095901808 2195706656 2470169988 2660183064 2881864986 3143852712 3293559984 3546910752 3842486648 4191803616 4322797479 4940339976 5320366128 5763729972 6287705424 6587119968 7684973296 8645594958 9880679952 10640732256 11527459944 12575410848 15369946592 17291189916 19761359904 23054919888 34582379832 46109839776 69164759664 138329519328
- Sum of all divisors σ(n): 537329048256
- Sum of proper divisors (its aliquot sum) s(n): 398999528928
- 138329519328 is an abundant number, because the sum of its proper divisors (398999528928) is greater than itself. Its abundance is 260670009600
Bases of 138329519328
- Binary: 100000001101010001010011110100111000002
- Hexadecimal: 0x203514F4E0
- Base-36: 1RJPTO80
Squares and roots of 138329519328
- 138329519328 squared (1383295193282) is 19135055917515525571584
- 138329519328 cubed (1383295193283) is 2646943087384324668294507175575552
-
The
square root of 138329519328 is 371926.7660817113 -
The
cube root of 138329519328 is 5171.7591237277
Scales and comparisons
How big is 138329519328?- 138,329,519,328 seconds is equal to 4,398 years, 23 weeks, 3 days, 2 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,329,519,328 would take you about eight thousand, seven hundred ninety-six 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 138329519328 cubic inches would be around 431 feet tall.
Recreational maths with 138329519328
- 138329519328 backwards is 823915923831
- The number of decimal digits it has is: 12
- The sum of 138329519328's digits is 54
- More coming soon!
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The information we have on file for 138329519328 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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