138825332413950
138,825,332,413,950 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138825332413950 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 768 divisors.
138825332413950 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138825332413950:
2 × 3 × 52 × 7 × 13 × 17 × 43 × 307 × 45319
(2 × 3 × 5 × 5 × 7 × 13 × 17 × 43 × 307 × 45319)See below for interesting mathematical facts about the number 138825332413950 from the Numbermatics database.
Names of 138825332413950
- Cardinal: 138825332413950 can be written as One hundred thirty-eight trillion, eight hundred twenty-five billion, three hundred thirty-two million, four hundred thirteen thousand, nine hundred fifty.
Scientific notation
- Scientific notation: 1.3882533241395 × 1014
Factors of 138825332413950
Divisors of 138825332413950
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 5 6 7 10 13 14 15 17 21 25 26 30 34 35 39 42 43 50 51 65 70 75 78 85 86 91 102 105 119 129 130 150 170 175 182 195 210 215 221 238 255 258 273 301 307 325 350 357 390 425 430 442 455 510 525 546 559 595 602 614 645 650 663 714 731 850 903 910 921 975 1050 1075 1105 1118 1190 1275 1290 1326 1365 1462 1505 1535 1547 1677 1785 1806 1842 1950 2149 2150 2193 2210 2275 2550 2730 2795 2975 3010 3070 3094 3225 3315 3354 3570 3655 3913 3991 4298 4386 4515 4550 4605 4641 5117 5219 5525 5590 5950 6447 6450 6630 6825 7310 7525 7675 7735 7826 7982 8385 8925 9030 9210 9282 9503 10234 10438 10745 10965 11050 11739 11973 12894 13201 13650 13975 15050 15350 15351 15470 15657 16575 16770 17850 18275 19006 19565 19955 21490 21930 22575 23025 23205 23478 23946 25585 26095 26402 27937 27950 28509 30702 31314 32235 33150 36533 36550 38675 39130 39603 39910 41925 45150 45319 46050 46410 47515 51170 52190 53725 54825 55874 57018 58695 59865 64470 66005 66521 67847 73066 76755 77350 78285 79206 83811 83850 90638 92407 95030 97825 99775 107450 109599 109650 116025 117390 119730 127925 130475 132010 133042 135694 135957 139685 142545 153510 156570 161175 167622 171613 182665 184814 195650 198015 199550 199563 203541 219198 224417 226595 232050 237575 255850 260950 271914 277221 279370 285090 293475 299325 317233 322350 330025 332605 339235 343226 365330 383775 391425 396030 399126 407082 419055 448834 453190 462035 474929 475150 514839 547995 554442 586950 589147 598650 634466 660050 665210 673251 678470 679785 698425 712725 767550 770423 782850 838110 858065 913325 924070 949858 951699 990075 997815 1017705 1029678 1095990 1122085 1132975 1178294 1201291 1346502 1359570 1386105 1396850 1424787 1425450 1540846 1570919 1586165 1663025 1696175 1716130 1767441 1826650 1903398 1948717 1980150 1995630 2035410 2095275 2244170 2265950 2310175 2311269 2374645 2402582 2574195 2739975 2772210 2849574 2917421 2945735 3141838 3172330 3326050 3366255 3392350 3398925 3534882 3603873 3852115 3897434 4124029 4190550 4290325 4620350 4622538 4712757 4749290 4758495 4989075 5088525 5148390 5392961 5479950 5610425 5834842 5846151 5891470 6006455 6732510 6797850 6930525 7123935 7207746 7704230 7854595 7930825 8248058 8580650 8752263 8837205 9425514 9516990 9743585 9978150 10015499 10177050 10785922 11220850 11556345 11692302 11873225 12012910 12372087 12870975 13641019 13861050 13912933 14247870 14587105 14728675 15709190 15861650 16178883 16831275 17504526 17674410 18019365 19260575 19487170 20030998 20421947 20620145 23112690 23563785 23746450 23792475 24744174 25333321 25741950 26964805 27282038 27825866 29174210 29230755 29457350 30032275 30046497 32357766 33128189 33662550 35619675 36038730 38521150 39272975 40843894 40923057 41240290 41738799 43761315 44186025 47127570 47584950 48717925 50077495 50666642 53929610 57781725 58461510 60064550 60092994 61265841 61860435 66256378 68205095 69564665 70108493 71239350 72935525 75999963 78545950 80894415 81846114 83477598 87522630 88372050 90096825 97390531 97435850 99384567 100154990 102109735 103100725 115563450 117818925 122531682 123720870 126666605 134824025 136410190 139129330 140216986 145871050 146153775 150232485 151999926 161788830 165640945 177333247 180193650 180868129 194781062 198769134 204219470 204615285 206201450 208693995 210325479 218806575 231897323 235637850 236519861 250387475 253333210 269648050 292171593 292307550 300464970 306329205 309302175 331281890 341025475 347823325 350542465 354666494 361736258 379999815 404472075 409230570 417387990 420650958 430666457 437613150 463794646 473039722 486952655 496922835 500774950 510548675 531999741 542604387 584343186 598256119 612658410 618604350 633333025 682050950 695646650 695691969 701084930 709559583 751162425 759999630 808944150 828204725 861332914 886666235 904340645 973905310 993845670 1021097350 1023076425 1043469975 1051627395 1063999482 1085208774 1159486615 1182599305 1196512238 1266076903 1266666050 1291999371 1391383938 1419119166 1460857965 1502324850 1531646025 1655639027 1656409450 1752712325 1773332470 1794768357 1808681290 1899999075 2046152850 2086939950 2103254790 2153332285 2318973230 2365198610 2434763275 2484614175 2532153806 2583998742 2659998705 2713021935 2921715930 2991280595 3014665199 3063292050 3074758193 3311278054 3478459845 3505424650 3547797915 3589536714 3798230709 3799998150 4187792833 4306664570 4433331175 4521703225 4869526550 4966917081 4969228350 5258136975 5319997410 5426043870 5797433075 5912996525 5982561190 6029330398 6149516386 6330384515 6459996855 6956919690 7095595830 7304289825 7596461418 7777329547 8278195135 8375585666 8866662350 8973841785 9043406450 9043995597 9224274579 9933834162 10170354023 10516273950 10766661425 11594866150 11825993050 12563378499 12660769030 12919993710 13299993525 13565109675 14608579650 14956402975 15073325995 15373790965 15554659094 16556390270 17392299225 17738989575 17947683570 18087991194 18448549158 18991153545 20340708046 20938964165 21523307351 21533322850 23331988641 24834585405 25126756998 26599987050 27130219350 29912805950 30146651990 30511062069 30747581930 31651922575 32299984275 34784598450 35477979150 37982307090 38886647735 41390975675 41877928330 43046614702 44869208925 45219977985 46121372895 46663977282 49669170810 50851770115 54441306829 61022124138 62816892495 63303845150 64569922053 64599968550 71192478161 75366629975 76868954825 77773295470 82781951350 89738417850 90439955970 92242745790 94955767725 101703540230 104694820825 107616536755 108882613658 116659943205 124172927025 125633784990 129139844106 132214602299 142384956322 150733259950 152555310345 153737909650 163323920487 189911535450 194433238675 209389641650 213577434483 215233073510 226099889925 230606864475 233319886410 248345854050 254258850575 264429204598 272206534145 305110620690 314084462475 322849610265 326647840974 355962390805 388866477350 396643806897 427154868966 452199779850 461213728950 508517701150 538082683775 544413068290 583299716025 628168924950 645699220530 661073011495 711924781610 762776551725 793287613794 816619602435 925502216093 1067887172415 1076165367550 1166599432050 1322146022990 1361032670725 1525553103450 1614248051325 1633239204870 1779811954025 1851004432186 1983219034485 2135774344830 2722065341450 2776506648279 3228496102650 3305365057475 3559623908050 3966438068970 4083098012175 4627511080465 5339435862075 5553013296558 6610730114950 8166196024350 9255022160930 9916095172425 10678871724150 13882533241395 19832190344850 23137555402325 27765066482790 46275110804650 69412666206975 138825332413950
- Sum of all divisors σ(n): 460602999521280
- Sum of proper divisors (its aliquot sum) s(n): 321777667107330
- 138825332413950 is an abundant number, because the sum of its proper divisors (321777667107330) is greater than itself. Its abundance is 182952334693380
Bases of 138825332413950
- Binary: 111111001000010110010101001111111010101111111102
- Hexadecimal: 0x7E42CA9FD5FE
- Base-36: 1D7JH6JZSU
Squares and roots of 138825332413950
- 138825332413950 squared (1388253324139502) is 19272472919843716534154602500
- 138825332413950 cubed (1388253324139503) is 2675507459536153501137208490703827704875000
-
The
square root of 138825332413950 is 11782416.2383591763 -
The
cube root of 138825332413950 is 51779.3078375245
Scales and comparisons
How big is 138825332413950?- 138,825,332,413,950 seconds is equal to 4,414,216 years, 8 weeks, 17 hours, 12 minutes, 30 seconds.
-
To count from 1 to 138,825,332,413,950 would take you about eleven million, thirty-five thousand, five hundred forty 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 138825332413950 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138825332413950
- 138825332413950 backwards is 059314233528831
- The number of decimal digits it has is: 15
- The sum of 138825332413950's digits is 57
- More coming soon!
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The information we have on file for 138825332413950 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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