138046621105575
138,046,621,105,575 is an odd composite number composed of seven prime numbers multiplied together.
138046621105575 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138046621105575:
33 × 52 × 7 × 13 × 457 × 1277 × 3851
(3 × 3 × 3 × 5 × 5 × 7 × 13 × 457 × 1277 × 3851)See below for interesting mathematical facts about the number 138046621105575 from the Numbermatics database.
Names of 138046621105575
- Cardinal: 138046621105575 can be written as One hundred thirty-eight trillion, forty-six billion, six hundred twenty-one million, one hundred five thousand, five hundred seventy-five.
Scientific notation
- Scientific notation: 1.38046621105575 × 1014
Factors of 138046621105575
Divisors of 138046621105575
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 175 189 195 225 273 315 325 351 455 457 525 585 675 819 945 975 1277 1365 1371 1575 1755 2275 2285 2457 2925 3199 3831 3851 4095 4113 4725 5941 6385 6825 6855 8775 8939 9597 11425 11493 11553 12285 12339 15995 16601 17823 19155 19255 20475 20565 26817 26957 28791 29705 31925 34275 34479 34659 41587 44695 47985 49803 50063 53469 57465 57765 61425 61695 79975 80451 80871 83005 86373 89115 95775 96275 102825 103977 116207 124761 134085 134785 143955 148525 149409 150189 160407 172395 173295 207935 223475 239925 241353 242613 249015 250315 267345 287325 288825 308475 348621 350441 374283 402255 404355 415025 431865 445575 448227 450567 519885 581035 583589 623805 670425 673925 719775 727839 747045 750945 802035 861975 866475 1039675 1045863 1051323 1122849 1206765 1213065 1245075 1251575 1336725 1351701 1743105 1750767 1752205 1759907 1871415 2011275 2021775 2159325 2241135 2252835 2599425 2905175 2917945 3119025 3137589 3153969 3639195 3735225 3754725 4010175 4085123 4917727 5229315 5252301 5256615 5279721 5614245 6033825 6065325 6758505 7586657 8715525 8753835 8761025 8799535 9357075 9461907 11205675 11264175 12255369 12319349 14589725 14753181 15687945 15756903 15769845 15839163 18195975 20425615 22759971 22878791 24588635 26146575 26261505 26283075 26398605 28071225 33792525 34424089 36766107 36958047 37933285 43769175 43997675 44259543 47309535 47517489 53106599 61276845 61596745 63930451 68279913 68636373 73765905 78439725 78784515 78849225 79195815 102128075 103272267 110298321 110874141 113799855 114393955 122943175 131307525 131993025 132778629 159319797 160151537 172120445 183830535 184790235 189666425 191791353 204839739 205909119 221297715 236547675 237587445 265532995 306384225 307983725 309816801 319652255 332622423 341399565 343181865 368829525 393922575 395979075 447513157 477959391 480454611 516361335 551491605 554370705 568999275 571969775 575374059 617727357 663893145 796598985 800757685 860602225 919152675 923951175 929450403 958956765 1024198695 1029545595 1106488575 1187937225 1327664975 1342539471 1433878173 1441363833 1549084005 1598261275 1663112115 1706997825 1715909325 1726122177 2237565785 2247401239 2389796955 2402273055 2581806675 2757458025 2771853525 2876870295 3088636785 3319465725 3982994925 4003788425 4027618413 4324091499 4647252015 4794783825 5120993475 5147727975 6712697355 6742203717 7169390865 7206819165 7745420025 8315560575 8630610885 11187828925 11237006195 11948984775 12011365275 12082855239 14384351475 15443183925 15731808673 20138092065 20226611151 21620457495 23236260075 29216216107 33563486775 33711018585 35846954325 36034095825 43153054425 47195426019 56185030975 60414276195 60679833453 78659043365 87648648321 100690460325 101133055755 108102287475 141586278057 146081080535 168555092925 204513512749 235977130095 262945944963 302071380975 303399167265 393295216825 424758834171 438243241605 505665278775 613540538247 707931390285 730405402675 788837834889 1022567563745 1179885650475 1314729724815 1516995836325 1840621614741 2123794170855 2191216208025 3067702691235 3539656951425 3944189174445 5112837818725 5521864844223 6573648624075 9203108073705 10618970854275 15338513456175 19720945872225 27609324221115 46015540368525 138046621105575
- Sum of all divisors σ(n): 313128298506240
- Sum of proper divisors (its aliquot sum) s(n): 175081677400665
- 138046621105575 is an abundant number, because the sum of its proper divisors (175081677400665) is greater than itself. Its abundance is 37035056295090
Bases of 138046621105575
- Binary: 111110110001101011110111101000000111101101001112
- Hexadecimal: 0x7D8D7BD03DA7
- Base-36: 1CXLQPY4RR
Squares and roots of 138046621105575
- 138046621105575 squared (1380466211055752) is 19056869598666185035296080625
- 138046621105575 cubed (1380466211055753) is 2630736456945421958962572149926201836984375
-
The
square root of 138046621105575 is 11749324.2829353811 -
The
cube root of 138046621105575 is 51682.3112288525
Scales and comparisons
How big is 138046621105575?- 138,046,621,105,575 seconds is equal to 4,389,455 years, 28 weeks, 2 days, 8 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,046,621,105,575 would take you about ten million, nine hundred seventy-three thousand, six hundred thirty-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 138046621105575 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138046621105575
- 138046621105575 backwards is 575501126640831
- The number of decimal digits it has is: 15
- The sum of 138046621105575's digits is 54
- More coming soon!
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