138133238203535575
138,133,238,203,535,575 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138133238203535575 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138133238203535575 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138133238203535575:
52 × 73 × 112 × 134 × 172 × 1272
(5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 13 × 13 × 17 × 17 × 127 × 127)See below for interesting mathematical facts about the number 138133238203535575 from the Numbermatics database.
Names of 138133238203535575
- Cardinal: 138133238203535575 can be written as One hundred thirty-eight quadrillion, one hundred thirty-three trillion, two hundred thirty-eight billion, two hundred three million, five hundred thirty-five thousand, five hundred seventy-five.
Scientific notation
- Scientific notation: 1.38133238203535575 × 1017
Factors of 138133238203535575
Divisors of 138133238203535575
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 5 7 11 13 17 25 35 49 55 65 77 85 91 119 121 127 143 169 175 187 221 245 275 289 325 343 385 425 455 539 595 605 635 637 715 833 845 847 889 935 1001 1105 1183 1225 1309 1397 1445 1547 1573 1651 1715 1859 1925 2023 2057 2159 2197 2275 2431 2695 2873 2975 3025 3175 3179 3185 3575 3757 3773 4165 4225 4235 4445 4459 4675 5005 5525 5831 5915 5929 6223 6545 6985 7007 7225 7735 7865 8255 8281 8575 9163 9295 9779 10115 10285 10795 10829 10985 11011 11557 12155 13013 13475 14161 14365 14399 15113 15367 15379 15895 15925 16129 17017 18161 18785 18865 20111 20449 20825 21175 21463 22225 22253 22295 23749 24167 25025 26299 26741 28067 28561 29155 29575 29645 31115 31603 32725 34925 34969 35035 36703 37349 38675 39325 41275 41327 41405 41503 43561 45815 46475 48841 48895 49049 50575 51425 53975 54145 54925 55055 57785 57967 60775 64141 65065 68453 70805 71825 71995 75565 75803 76835 76895 77077 79475 80645 80899 85085 90805 91091 93925 94325 99127 100555 100793 102245 105791 107315 107569 107653 111265 111475 112903 118745 119119 120835 127127 131495 133705 140335 140777 142805 143143 145775 148225 150241 155575 155771 158015 166243 169169 174845 175175 177419 183515 184093 186745 187187 196469 199771 199927 206635 207025 207515 209677 217805 221221 229075 236093 244205 244475 244783 245245 256921 261239 261443 265837 270725 274193 275275 279019 288925 289289 289835 308737 314171 320705 325325 341887 342265 347633 354025 359975 364871 377825 379015 384175 384475 385385 403225 403733 404495 410839 425425 454025 454597 455455 477139 479171 485537 495635 502775 503965 511225 528955 536575 537251 537845 538265 539539 556325 564515 566293 593725 595595 604175 634933 635635 637637 657475 668525 701675 703885 705551 714025 715715 740537 751205 752983 753571 778855 790075 790321 831215 833833 845845 874225 887095 889889 917575 920465 933725 935935 982345 985439 998855 999635 1002001 1033175 1037575 1048385 1051687 1089025 1090397 1106105 1163701 1180465 1184183 1221025 1223915 1226225 1241933 1284605 1288651 1306195 1307215 1310309 1329185 1370965 1375283 1395095 1398397 1399489 1446445 1449175 1467739 1543685 1548547 1570855 1603525 1652651 1709435 1711325 1713481 1738165 1798447 1824355 1828673 1830101 1860859 1895075 1919351 1926925 1951609 1953133 2018665 2022475 2025023 2054195 2161159 2199197 2272985 2277275 2306447 2385695 2393209 2395855 2427685 2433431 2478175 2519825 2554097 2597023 2644775 2686255 2689225 2691325 2697695 2725801 2822575 2826131 2831465 2875873 2977975 3016123 3069209 3174665 3178175 3182179 3188185 3339973 3396107 3398759 3455881 3519425 3527755 3564509 3578575 3627247 3702685 3756025 3760757 3764915 3767855 3894275 3951605 4013581 4156075 4169165 4229225 4435475 4441063 4444531 4449445 4519229 4602325 4661281 4679675 4743323 4911725 4927195 4994275 4998175 5010005 5241925 5248529 5258435 5270881 5340907 5451985 5530525 5532247 5818505 5902325 5909761 5920915 6119575 6202807 6209665 6229223 6423025 6443255 6530975 6536075 6551545 6645925 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90895805 91182091 94018925 94048199 95403035 95628841 95703517 98914585 100339525 100655555 105564305 105896791 107422315 107760653 111026575 111113275 111376265 112980725 113015903 116532025 116899055 118583075 118863745 118956565 119238119 120955835 124757815 125150753 126854585 126953645 127254127 131213225 131626495 131772025 133522675 133564249 138306175 138480419 140475335 140917777 147744025 147790027 149919055 150391241 155070175 155437205 155558585 155730575 155926771 158173015 163144835 163658677 165886765 166016305 166409243 166539191 168806495 169338169 174606575 174660941 175350175 177177065 177596419 177735103 183698515 184045225 184277093 186931745 196047995 196665469 199498585 203647675 206353225 206841635 207232025 209886677 217098245 217338275 217612087 217782019 220746955 221442221 228402769 229304075 231693085 232241471 232422827 236329093 240674525 244449205 244719475 244910575 248047891 256370455 256854325 257177921 260882765 261704443 270995725 274467193 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603004423021 624412864075 634206001715 658790607475 665654233205 667229746183 668489066245 690918376225 691457910325 703079051675 737942475725 739689085135 750344870275 752708161205 778570717925 788544245489 790032532835 816539899175 830911606525 874178009705 886771210325 887888402401 919411067575 931915926487 947578379033 965001699025 967285726715 981220214975 984310672345 1033119466015 1050482818385 1086576716225 1143155858845 1159623890425 1163276249135 1223468271025 1239140957197 1241479694455 1283134127275 1284136119175 1287175494605 1305718238825 1351002378635 1370464597775 1373708300965 1393497616225 1464439313051 1470675945739 1516431241325 1521207402715 1623473446595 1707477696925 1712855579435 1738071572237 1792146012475 1796387778185 1797790566845 1822266113525 1828005534355 1918650436885 1923191621351 1950896662715 2017928187275 2123003737855 2153587225075 2272862825233 2382963379225 2390468775695 2509004417465 2514942889459 2551172558935 2559207748097 2686110611639 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738680418200725 789332789734489 817356439074175 965966700724025 1087663292941225 1141597009946575 1160783514315425 1517947672566325 1625096920041595 1793938158487475 2125126741592855 2511513421882465 2819045677623175 3946663948672445 5525329528141423 8125484600207975 10625633707964275 12557567109412325 19733319743362225 27626647640707115 138133238203535575
- Sum of all divisors σ(n): 254675081107582800
- Sum of proper divisors (its aliquot sum) s(n): 116541842904047225
- 138133238203535575 is a deficient number, because the sum of its proper divisors (116541842904047225) is less than itself. Its deficiency is 21591395299488350
Bases of 138133238203535575
- Binary: 1111010101011111101110010110000101100101111010000110101112
- Hexadecimal: 0x1EABF72C2CBD0D7
- Base-36: 11S459L7V3YV
Squares and roots of 138133238203535575
- 138133238203535575 squared (1381332382035355752) is 19080791496594700087310430290580625
- 138133238203535575 cubed (1381332382035355753) is 2635691516911111765413585271434461264004494593234375
-
The
square root of 138133238203535575 is 371662801.7484875699 -
The
cube root of 138133238203535575 is 516931.1829251627
Scales and comparisons
How big is 138133238203535575?- 138,133,238,203,535,575 seconds is equal to 4,392,209,700 years, 37 weeks, 10 hours, 32 minutes, 55 seconds.
-
To count from 1 to 138,133,238,203,535,575 would take you about thirteen billion, one hundred seventy-six million, six hundred twenty-nine thousand, one hundred two 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 138133238203535575 cubic inches would be around 43077.6 feet tall.
Recreational maths with 138133238203535575
- 138133238203535575 backwards is 575535302832331831
- The number of decimal digits it has is: 18
- The sum of 138133238203535575's digits is 67
- More coming soon!
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"Number 138133238203535575 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138133238203535575 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138133238203535575/
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Numbermatics. 2024. "Number 138133238203535575 - Facts about the integer". https://numbermatics.com/n/138133238203535575/
The information we have on file for 138133238203535575 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!
Keywords: Divisors of 138133238203535575, math, Factors of 138133238203535575, curriculum, school, college, exams, university, Prime factorization of 138133238203535575, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred thirty-three trillion, two hundred thirty-eight billion, two hundred three million, five hundred thirty-five thousand, five hundred seventy-five.