137312938083825
137,312,938,083,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137312938083825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
137312938083825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137312938083825:
35 × 52 × 7 × 232 × 41 × 533
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 23 × 23 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 137312938083825 from the Numbermatics database.
Names of 137312938083825
- Cardinal: 137312938083825 can be written as One hundred thirty-seven trillion, three hundred twelve billion, nine hundred thirty-eight million, eighty-three thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.37312938083825 × 1014
Factors of 137312938083825
Divisors of 137312938083825
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 15 21 23 25 27 35 41 45 53 63 69 75 81 105 115 123 135 159 161 175 189 205 207 225 243 265 287 315 345 369 371 405 477 483 525 529 567 575 615 621 675 795 805 861 943 945 1025 1035 1107 1113 1215 1219 1325 1431 1435 1449 1575 1587 1701 1725 1845 1855 1863 2025 2173 2385 2415 2583 2645 2809 2829 2835 3075 3105 3321 3339 3657 3703 3975 4025 4293 4305 4347 4715 4725 4761 5175 5535 5565 5589 6075 6095 6519 6601 7155 7175 7245 7749 7935 8427 8487 8505 8533 9225 9275 9315 9963 10017 10865 10971 11109 11925 12075 12879 12915 13041 13225 14045 14145 14175 14283 15211 15525 16605 16695 18285 18515 19557 19663 19803 21465 21525 21689 21735 23247 23575 23805 25281 25461 25599 27675 27825 27945 28037 30051 30475 32595 32913 33005 33327 35775 36225 38745 39123 39675 42135 42435 42525 42665 42849 45633 46575 49815 49979 50085 54325 54855 55545 58671 58989 59409 64395 64575 64607 65067 65205 69741 70225 70725 71415 75843 76055 76383 76797 83025 83475 84111 90153 91425 92575 97785 98315 98739 99015 99981 107325 108445 108675 115169 116235 119025 126405 127305 127995 128547 136899 139725 140185 148877 149937 150255 151823 162975 164565 165025 166635 176013 176967 178227 193725 193821 195201 195615 196259 210675 212175 213325 214245 227529 228165 229149 230391 249075 249895 250425 252333 274275 277725 293355 294945 296217 297045 299943 321975 323035 325335 326025 345507 348705 349853 357075 379215 380275 381915 383985 410697 420555 446631 449811 450765 452249 455469 488925 491575 493695 495075 499905 528039 530901 534681 542225 575845 581175 581463 585603 588777 632025 636525 639975 642735 682587 684495 691173 700925 744385 749685 751275 756999 759115 806183 822825 833175 880065 884835 891135 899829 969105 976005 978075 981295 1036521 1042139 1049559 1071225 1137645 1140825 1145745 1149517 1151955 1232091 1249475 1261665 1339893 1349433 1356747 1366407 1466775 1474725 1481085 1485225 1485961 1499715 1592703 1604043 1615175 1626675 1727535 1743525 1744389 1749265 1756809 1766331 1896075 1909575 1919925 2053485 2073519 2102775 2233155 2249055 2253825 2261245 2270997 2277345 2418549 2468475 2499525 2640195 2648887 2654505 2673405 2879225 2907315 2928015 2943885 3109563 3126417 3148677 3213675 3412935 3422475 3424171 3448551 3455865 3696273 3721925 3748425 3784995 3795575 4019679 4030915 4048299 4070241 4099221 4400325 4424175 4455675 4457883 4499145 4778109 4845525 4880025 4906475 5182605 5210695 5233167 5247795 5270427 5298993 5688225 5728725 5747585 5759775 6103957 6160455 6308325 6699465 6747165 6783735 6812991 6832035 7255647 7405425 7429805 7498575 7946661 7963515 8020215 8046619 8637675 8721945 8746325 8784045 8831655 9328689 9379251 9446031 10267425 10272513 10345653 10367595 10401727 11165775 11245275 11306225 11354985 11386725 12059037 12092745 12144897 12210723 12297663 13200975 13244435 13272525 13367025 13373649 14536575 14640075 14719425 15547815 15632085 15699501 15743385 15896979 17064675 17120855 17242755 17279325 18311871 18481365 18542209 18924975 20098395 20154575 20241495 20351205 20496105 21766941 22289415 22495725 23839983 23890545 23969197 24139857 25913025 26053475 26165835 26238975 26352135 26494965 27986067 28137753 28338093 28737925 30519785 30802275 30817539 31036959 31205181 33497325 33735825 33918675 34064955 34160175 36177111 36278235 36632169 36892989 37149025 39733305 39817575 40101075 40120947 40233095 42727699 43609725 43920225 44158275 46643445 46896255 47230155 47690937 51362565 51728265 51837975 52008635 54935613 55626627 56774925 60295185 60463725 60724485 60924401 61053615 61488315 65300823 66222175 66868245 71519949 71907591 72419571 77739075 78160425 78497505 78716925 78755933 79484895 84413259 85014279 85604275 86213775 91559355 92406825 92452617 92711045 93110877 93615543 100491975 101207475 101756025 102480525 108834705 109896507 111447075 119199915 119452725 119845985 120362841 120699285 128183097 130829175 131760675 132474825 139930335 140391011 140688765 141690465 152598925 154087695 155184795 156025905 164806839 166879881 170324775 180885555 181391175 182773203 183160845 184464945 195902469 198666525 200604735 201165475 213638495 214559847 215722773 217258713 233217225 234481275 236150775 236267799 238454685 253239777 256812825 258641325 260043175 274678065 277357851 278133135 279332631 280846629 301475925 303622425 304622005 305268075 307441575 326504115 334341225 357599745 359537955 361088523 362097855 384549291 392487525 393779665 397424475 421173033 422066295 425071395 426470807 457796775 462263085 463555225 465554385 468077715 494420517 500639643 544173525 548319609 549482535 551291531 595999575 599229925 601814205 603496425 640915485 643679541 647168319 651776139 699651675 701955055 703443825 708452325 708803397 770438475 775923975 780129525 824034195 832073553 834399405 842539887 904427775 913866015 915804225 922324725 979512345 982737077 1003023675 1068192475 1072799235 1078613865 1086293565 1153647873 1181338995 1192273425 1263519099 1266198885 1279412421 1373390325 1386789255 1390665675 1396663155 1404233145 1483261551 1501918929 1523110025 1632520575 1644958827 1653874593 1787998725 1797689775 1805442615 1810489275 1922746455 1941504957 1955328417 1968898325 2105865165 2110331475 2125356975 2126410191 2132354035 2311315425 2327771925 2340388575 2472102585 2503198215 2527619661 2741598045 2747412675 2756457655 2948211231 3009071025 3204577425 3218397705 3228993253 3235841595 3258880695 3460943619 3509775275 3544016985 3790557297 3838237263 4120170975 4160367765 4171997025 4212699435 4505756787 4569330075 4897561725 4913685385 4934876481 4961623779 5363996175 5393069325 5431467825 5768239365 5824514871 5906694975 6317595495 6330994425 6379230573 6397062105 6933946275 6983315775 7021165725 7416307755 7509594645 8224794135 8269372965 8844633693 9027213075 9613732275 9686979759 9707524785 9776642085 10382830857 10529325825 10632050955 10661770175 11371671891 11514711789 12360512925 12515991075 12638098305 13707990225 13782288275 14741056155 14804629443 14884871337 16091988525 16144966265 16179207975 16294403475 17304718095 17720084925 18952786485 19137691719 19191186315 20801838825 21063497175 22528783935 22602952771 24568426925 24674382405 24808118895 26533901079 28841196825 29060939277 29122574355 31587977475 31896152865 31985310525 34115015673 34544135367 37081538775 37547973225 41123970675 41346864825 44223168465 44654614011 48434898795 48537623925 48883210425 51914154285 53160254775 56858359455 57573558945 63190491525 67808858313 73705280775 74023147215 74424356685 79601703237 80724831325 86523590475 87182817831 94763932425 95688458595 95955931575 103632406101 112643919675 113014763855 123371912025 124040594475 132669505395 133963842033 145304696385 145612871775 159480764325 170575078365 172720676835 203426574939 221115842325 223273070055 238805109711 242174493975 259570771425 261548453493 284291797275 287867794725 339044291565 370115736075 372121783425 398008516185 435914089155 478442292975 518162030505 565073819275 610279724817 663347526975 669819210165 726523481925 784645360479 852875391825 863603384175 1017132874695 1116365350275 1194025548555 1307742267465 1695221457825 1830839174451 1990042580925 2179570445775 2590810152525 3051398624085 3349096050825 3923226802395 5085664373475 5492517523353 5970127742775 6538711337325 9154195872255 15256993120425 19616134011975 27462587616765 45770979361275 137312938083825
- Sum of all divisors σ(n): 318146804801280
- Sum of proper divisors (its aliquot sum) s(n): 180833866717455
- 137312938083825 is an abundant number, because the sum of its proper divisors (180833866717455) is greater than itself. Its abundance is 43520928633630
Bases of 137312938083825
- Binary: 111110011100010101010001110010111000101111100012
- Hexadecimal: 0x7CE2A8E5C5F1
- Base-36: 1CO8OY0Q29
Squares and roots of 137312938083825
- 137312938083825 squared (1373129380838252) is 18854842965212358062726630625
- 137312938083825 cubed (1373129380838253) is 2589013884662447891059907856567586062140625
-
The
square root of 137312938083825 is 11718060.3379494935 -
The
cube root of 137312938083825 is 51590.5890539751
Scales and comparisons
How big is 137312938083825?- 137,312,938,083,825 seconds is equal to 4,366,126 years, 36 weeks, 17 hours, 3 minutes, 45 seconds.
-
To count from 1 to 137,312,938,083,825 would take you about ten million, nine hundred fifteen thousand, three hundred sixteen 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 137312938083825 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137312938083825
- 137312938083825 backwards is 528380839213731
- 137312938083825 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137312938083825's digits is 63
- More coming soon!
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The information we have on file for 137312938083825 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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