137991513785625
137,991,513,785,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137991513785625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 810 divisors.
137991513785625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 137991513785625:
38 × 54 × 192 × 312 × 97
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 19 × 31 × 31 × 97)See below for interesting mathematical facts about the number 137991513785625 from the Numbermatics database.
Names of 137991513785625
- Cardinal: 137991513785625 can be written as One hundred thirty-seven trillion, nine hundred ninety-one billion, five hundred thirteen million, seven hundred eighty-five thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.37991513785625 × 1014
Factors of 137991513785625
Divisors of 137991513785625
- Number of divisors d(n): 810
-
Complete list of divisors:
1 3 5 9 15 19 25 27 31 45 57 75 81 93 95 97 125 135 155 171 225 243 279 285 291 361 375 405 465 475 485 513 589 625 675 729 775 837 855 873 961 1083 1125 1215 1395 1425 1455 1539 1767 1805 1843 1875 2025 2187 2325 2375 2425 2511 2565 2619 2883 2945 3007 3249 3375 3645 3875 4185 4275 4365 4617 4805 5301 5415 5529 5625 6075 6561 6975 7125 7275 7533 7695 7857 8649 8835 9021 9025 9215 9747 10125 10935 11191 11625 11875 12125 12555 12825 13095 13851 14415 14725 15035 15903 16245 16587 16875 18225 18259 19375 20925 21375 21825 22599 23085 23571 24025 25947 26505 27063 27075 27645 29241 30375 32805 33573 34875 35017 35625 36375 37665 38475 39285 41553 43245 44175 45105 45125 46075 47709 48735 49761 50625 54675 54777 55955 57133 58125 60625 62775 64125 65475 67797 69255 70713 72075 73625 75175 77841 79515 81189 81225 82935 87723 91125 91295 93217 100719 104625 105051 106875 109125 112995 115425 117855 120125 124659 129735 132525 135315 135375 138225 143127 146205 149283 151875 164025 164331 167865 171399 174375 175085 181875 188325 192375 196425 203391 207765 212139 216225 220875 225525 225625 230375 233523 238545 243567 243675 248805 263169 273375 273885 279651 279775 285665 302157 313875 315153 320625 327375 338985 346275 346921 353565 360375 368125 375875 389205 397575 405945 406125 414675 429381 438615 447849 455625 456475 466085 492993 503595 514197 523125 525255 545625 564975 577125 589275 600625 623295 636417 648675 662625 676575 676875 691125 700569 715635 730701 731025 746415 789507 820125 821655 838953 839325 856995 875425 906471 941625 945459 961875 982125 1016955 1038825 1040763 1060695 1081125 1085527 1104375 1127625 1151875 1167615 1192725 1217835 1218375 1244025 1288143 1315845 1343547 1366875 1369425 1398255 1398875 1428325 1478979 1510785 1542591 1569375 1575765 1636875 1694925 1731375 1734605 1767825 1771123 1801875 1879375 1946025 1987875 2029725 2030625 2073375 2101707 2146905 2192103 2193075 2239245 2282375 2330425 2368521 2464965 2516859 2517975 2570985 2626275 2719413 2824875 2836377 2885625 2946375 3116475 3122289 3182085 3243375 3256581 3313125 3382875 3455625 3502845 3578175 3653505 3655125 3732075 3864429 3947535 4030641 4100625 4108275 4194765 4196625 4284975 4377125 4436937 4532355 4627773 4708125 4727295 4910625 5084775 5194125 5203815 5303475 5313369 5405625 5427635 5638125 5838075 5963625 6089175 6091875 6220125 6305121 6440715 6576309 6579225 6717735 6847125 6991275 6994375 7141625 7394895 7550577 7553925 7712955 7878825 8158239 8474625 8509131 8656875 8673025 8839125 8855615 9366867 9730125 9769743 9939375 10148625 10366875 10508535 10734525 10960515 10965375 11196225 11411875 11652125 11842605 12091923 12324825 12584295 12589875 12854925 13131375 13310811 13597065 13883319 14124375 14181885 14731875 15582375 15611445 15910425 15940107 16216875 16282905 16914375 17514225 17890875 18267525 18275625 18660375 19322145 19728927 19737675 20153205 20541375 20973825 20983125 21424875 21885625 22184685 22651731 22661775 23138865 23636475 24474717 25423875 25527393 25970625 26019075 26517375 26566845 27138175 28100601 29190375 29309229 29818125 30445875 31100625 31525605 32203575 32881545 32896125 33588675 33651337 34235625 34956375 35708125 36974475 37752885 37769625 38564775 39394125 39932433 40791195 41649957 42373125 42545655 43365125 44195625 44278075 46834335 47820321 48650625 48848715 50743125 52542675 53672625 54802575 54826875 55981125 58260625 59213025 60459615 61624125 62921475 62949375 64274625 65656875 66554055 67955193 67985325 69416595 70909425 73424151 76582179 77911875 78057225 79552125 79700535 81414525 84301803 87571125 87927687 89454375 91337625 93301875 96610725 98644635 98688375 100766025 100954011 102706875 104869125 107124375 110923425 113258655 113308875 115694325 118182375 119797299 122373585 124949871 127119375 127636965 130095375 132586875 132834225 135690875 140503005 143460963 145951875 146546145 152229375 157628025 161017875 164407725 164480625 167943375 168256685 174781875 184872375 188764425 188848125 192823875 196970625 199662165 203865579 203955975 208249785 212728275 216825625 221390375 229746537 234171675 239101605 244243575 252905409 262713375 263783061 268363125 274012875 279905625 296065125 302298075 302862033 308120625 314607375 321373125 332770275 339775965 339926625 347082975 354547125 367120755 374849613 382910895 390286125 397760625 398502675 407072625 421509015 430382889 437855625 439638435 456688125 483053625 493223175 493441875 503830125 504770055 524345625 554617125 566293275 566544375 578471625 590911875 598986495 611596737 611867925 624749355 638184825 650476875 664171125 678454375 702515025 717304815 732730725 758716227 788140125 791349183 805089375 822038625 839716875 841283425 908586099 924361875 943822125 964119375 998310825 1019327895 1019779875 1041248925 1063641375 1106951875 1148732685 1170858375 1195508025 1221217875 1264527045 1291148667 1313566875 1318915305 1370064375 1480325625 1511490375 1514310165 1573036875 1663851375 1698879825 1699633125 1735414875 1772735625 1835603775 1874248065 1914554475 1951430625 1992513375 2035363125 2107545075 2151914445 2198192175 2276148681 2374047549 2415268125 2466115875 2519150625 2523850275 2725758297 2773085625 2831466375 2892358125 2994932475 3057983685 3059339625 3123746775 3190924125 3320855625 3512575125 3586524075 3663653625 3793581135 3873446001 3940700625 3956745915 4110193125 4206417125 4542930495 4719110625 4991554125 5096639475 5098899375 5206244625 5318206875 5743663425 5854291875 5977540125 6106089375 6322635225 6455743335 6594576525 7122142647 7557451875 7571550825 8177274891 8319256875 8494399125 8677074375 9178018875 9371240325 9572772375 9962566875 10537725375 10759572225 10990960875 11380743405 11620338003 11870237745 12330579375 12619251375 13628791485 14157331875 14974662375 15289918425 15296698125 15618733875 15954620625 17562875625 17932620375 18318268125 18967905675 19367230005 19783729575 21032085625 22714652475 24531824673 24957770625 25483197375 26031223125 28718317125 29887700625 31613176125 32278716675 32972882625 35610713235 37857754125 40886374455 42471995625 45890094375 46856201625 47863861875 52688626875 53797861125 54954804375 56903717025 58101690015 59351188725 63096256875 68143957425 73595474019 74873311875 76449592125 78093669375 89663101875 94839528375 96836150025 98918647875 113573262375 122659123365 127415986875 143591585625 158065880625 161393583375 164864413125 178053566175 189288770625 204431872275 220786422057 234281008125 268989305625 284518585125 290508450075 296755943625 340719787125 367977370095 382247960625 474197641875 484180750125 494593239375 567866311875 613295616825 806967916875 890267830875 1022159361375 1103932110285 1422592925625 1452542250375 1483779718125 1703598935625 1839886850475 2420903750625 3066478084125 4451339154375 5110796806875 5519660551425 7262711251875 9199434252375 15332390420625 27598302757125 45997171261875 137991513785625
- Sum of all divisors σ(n): 284964372206514
- Sum of proper divisors (its aliquot sum) s(n): 146972858420889
- 137991513785625 is an abundant number, because the sum of its proper divisors (146972858420889) is greater than itself. Its abundance is 8981344635264
Bases of 137991513785625
- Binary: 111110110000000101001110010100101000101000110012
- Hexadecimal: 0x7D80A7294519
- Base-36: 1CWWFCH0K9
Squares and roots of 137991513785625
- 137991513785625 squared (1379915137856252) is 19041657876848334418456640625
- 137991513785625 cubed (1379915137856253) is 2627587195414271807431779692241013916015625
-
The
square root of 137991513785625 is 11746978.9216472591 -
The
cube root of 137991513785625 is 51675.4332318893
Scales and comparisons
How big is 137991513785625?- 137,991,513,785,625 seconds is equal to 4,387,703 years, 15 weeks, 5 days, 3 hours, 33 minutes, 45 seconds.
-
To count from 1 to 137,991,513,785,625 would take you about ten million, nine hundred sixty-nine thousand, two hundred fifty-eight 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 137991513785625 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137991513785625
- 137991513785625 backwards is 526587315199731
- The number of decimal digits it has is: 15
- The sum of 137991513785625's digits is 72
- More coming soon!
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The information we have on file for 137991513785625 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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