138624965325
138,624,965,325 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138624965325 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
138624965325 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138624965325:
34 × 52 × 72 × 11 × 17 × 31 × 241
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 17 × 31 × 241)See below for interesting mathematical facts about the number 138624965325 from the Numbermatics database.
Names of 138624965325
- Cardinal: 138624965325 can be written as One hundred thirty-eight billion, six hundred twenty-four million, nine hundred sixty-five thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 1.38624965325 × 1011
Factors of 138624965325
Divisors of 138624965325
- Number of divisors d(n): 720
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Complete list of divisors:
1 3 5 7 9 11 15 17 21 25 27 31 33 35 45 49 51 55 63 75 77 81 85 93 99 105 119 135 147 153 155 165 175 187 189 217 225 231 241 245 255 275 279 297 315 341 357 385 405 425 441 459 465 495 525 527 539 561 567 595 651 675 693 723 735 765 775 825 833 837 891 935 945 1023 1071 1085 1155 1205 1225 1275 1309 1323 1377 1395 1485 1519 1575 1581 1617 1683 1687 1705 1785 1925 1953 2025 2079 2169 2205 2295 2325 2387 2475 2499 2511 2635 2651 2695 2805 2835 2975 3069 3213 3255 3465 3615 3675 3689 3825 3927 3969 4097 4165 4185 4455 4557 4675 4725 4743 4851 5049 5061 5115 5355 5425 5775 5797 5859 6025 6237 6507 6545 6615 6885 6975 7161 7425 7471 7497 7595 7905 7953 8085 8415 8435 8525 8925 9163 9207 9639 9765 10395 10845 11025 11067 11475 11781 11809 11935 12291 12495 12555 13175 13255 13475 13671 14025 14175 14229 14553 15147 15183 15345 16065 16275 16709 17325 17391 17577 18075 18445 18557 19521 19635 19845 20485 20825 20925 21483 22275 22413 22491 22785 23715 23859 24255 25245 25305 25575 25823 26775 27489 27621 28679 28985 29295 31185 32535 32725 33075 33201 34425 35343 35427 35805 36873 37355 37485 37975 39525 39765 40425 40579 41013 42075 42175 42687 43659 45067 45549 45815 46035 48195 48825 50127 51975 52173 52297 54225 55335 55671 58905 59045 59675 61455 62475 62775 64449 66275 67239 67473 68355 71145 71577 72765 75735 75915 76725 77469 80325 82181 82467 83545 86037 86955 87885 92225 92785 97605 98175 99225 99603 102425 106029 106281 107415 110619 112065 112455 113925 118575 119295 121275 121737 123039 126225 126525 127007 129115 129899 135201 136647 137445 138105 143395 144925 146475 150381 155925 156519 156891 162675 166005 167013 176715 177135 179025 184365 186775 187425 193347 198825 200753 201717 202895 205065 213435 214731 218295 225335 227745 229075 230175 232407 240975 246543 247401 250635 258111 260865 261485 276675 278355 284053 294525 295225 298809 307275 315469 318843 322245 331857 336195 337365 341775 355725 357885 363825 365211 366079 378675 379575 381021 387345 389697 405603 410905 412335 417725 430185 434775 439425 451143 463925 469557 470673 488025 498015 501039 530145 531405 537075 553095 560325 562275 575267 596475 602259 605151 608685 615195 635035 645575 649495 676005 683235 687225 690525 697221 716975 739629 742203 751905 774333 782595 784455 830025 835065 852159 883575 885675 889049 921825 946407 956529 966735 1003765 1008585 1014475 1025325 1067175 1073655 1091475 1095633 1098237 1126675 1138725 1143063 1162035 1169091 1216809 1232715 1237005 1253175 1290555 1304325 1307425 1353429 1391775 1397077 1412019 1420265 1494045 1503117 1577345 1594215 1611225 1659285 1680975 1686825 1725801 1789425 1806777 1826055 1830395 1905105 1936725 1948485 2028015 2054525 2061675 2091663 2150925 2208283 2218887 2255715 2322999 2347785 2353365 2490075 2505195 2556477 2650725 2657025 2667147 2765475 2839221 2876335 3011295 3025755 3043425 3075975 3175175 3247475 3286899 3294711 3380025 3416175 3429189 3486105 3507273 3650427 3698145 3711015 3759525 3871665 3912975 3922275 4026869 4175325 4191231 4236057 4260795 4445245 4732035 4782645 4833675 5018825 5042925 5177403 5368275 5420331 5478165 5491185 5715315 5810175 5845455 6084045 6163575 6185025 6223343 6452775 6624849 6656661 6767145 6985385 7060095 7101325 7470225 7515585 7669431 7886725 7971075 8001441 8296425 8517663 8629005 9033885 9130275 9151975 9525525 9742425 9779539 9884133 10140075 10287567 10458315 10521819 11041415 11094435 11278575 11614995 11738925 11766825 12080607 12525975 12573693 12782385 13335735 14196105 14381675 15056475 15128775 15532209 16260993 16434495 16473555 17145945 17430525 17536365 18252135 18490725 18555075 18670029 19358325 19874547 20134345 20956155 21180285 21303975 22226225 23008293 23660175 23913225 24004323 25552989 25887015 27101655 27390825 27455925 28576575 29227275 29338617 29652399 30420225 31116715 33124245 33283305 33835725 34926925 35300475 36241821 37577925 37721079 38347155 40007205 42588315 43145025 45169425 46596627 48897695 49420665 51437835 52291575 52609095 55207075 55472175 56010087 58074975 59623641 60403035 62868465 63911925 66678675 68456773 70980525 72012969 77661045 81304965 82172475 82367775 85729725 87681825 88015851 91260675 93350145 99372735 100671725 104780775 105901425 108725463 113163237 115041465 120021615 127764945 129435075 135508275 146693085 148261995 155583575 165621225 166416525 168030261 178870923 181209105 188605395 191735775 200036025 205370319 212941575 232983135 244488475 247103325 257189175 263045475 264047553 280050435 298118205 302015175 314342325 326176389 342283865 360064845 388305225 406524825 440079255 466750725 496863675 504090783 543627315 565816185 575207325 600108075 616110957 638824725 733465425 741309975 792142659 840151305 894354615 906045525 943026975 1026851595 1164915675 1320237765 1400252175 1490591025 1630881945 1711419325 1800324225 1848332871 2200396275 2520453915 2718136575 2829080925 3080554785 3960713295 4200756525 4471773075 5134257975 5544998613 6601188825 8154409725 9241664355 12602269575 15402773925 19803566475 27724993065 46208321775 138624965325
- Sum of all divisors σ(n): 357635824128
- Sum of proper divisors (its aliquot sum) s(n): 219010858803
- 138624965325 is an abundant number, because the sum of its proper divisors (219010858803) is greater than itself. Its abundance is 80385893478
Bases of 138624965325
- Binary: 100000010001101011000100011010110011012
- Hexadecimal: 0x2046B11ACD
- Base-36: 1ROLQ3T9
Squares and roots of 138624965325
- 138624965325 squared (1386249653252) is 19216881011357452355625
- 138624965325 cubed (1386249653253) is 2663939463854077763978855193703125
-
The
square root of 138624965325 is 372323.7372569735 -
The
cube root of 138624965325 is 5175.4384757645
Scales and comparisons
How big is 138624965325?- 138,624,965,325 seconds is equal to 4,407 years, 43 weeks, 6 days, 14 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,624,965,325 would take you about eight thousand, eight hundred fifteen 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 138624965325 cubic inches would be around 431.3 feet tall.
Recreational maths with 138624965325
- 138624965325 backwards is 523569426831
- The number of decimal digits it has is: 12
- The sum of 138624965325's digits is 54
- More coming soon!
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"Number 138624965325 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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The information we have on file for 138624965325 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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