138131859668985
138,131,859,668,985 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138131859668985 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138131859668985 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138131859668985:
33 × 5 × 72 × 132 × 192 × 31 × 61 × 181
(3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 19 × 19 × 31 × 61 × 181)See below for interesting mathematical facts about the number 138131859668985 from the Numbermatics database.
Names of 138131859668985
- Cardinal: 138131859668985 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, eight hundred fifty-nine million, six hundred sixty-eight thousand, nine hundred eighty-five.
Scientific notation
- Scientific notation: 1.38131859668985 × 1014
Factors of 138131859668985
Divisors of 138131859668985
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 13 15 19 21 27 31 35 39 45 49 57 61 63 65 91 93 95 105 117 133 135 147 155 169 171 181 183 189 195 217 245 247 273 279 285 305 315 351 361 399 403 427 441 455 465 507 513 543 549 585 589 637 651 665 735 741 793 819 837 845 855 905 915 931 945 1083 1085 1159 1183 1197 1209 1235 1267 1281 1323 1365 1395 1519 1521 1629 1647 1729 1755 1767 1805 1891 1911 1953 1995 2015 2135 2205 2223 2353 2379 2457 2527 2535 2565 2715 2745 2793 2821 2945 2989 3185 3211 3249 3255 3439 3477 3549 3591 3627 3705 3801 3843 3965 4095 4123 4185 4557 4563 4655 4693 4887 5187 5239 5301 5415 5551 5611 5673 5733 5795 5859 5915 5985 6045 6335 6405 6615 6669 7059 7137 7581 7595 7605 7657 8113 8145 8235 8281 8379 8463 8645 8835 8869 8967 9455 9555 9633 9747 9765 10309 10317 10431 10647 10881 11041 11115 11191 11403 11529 11765 11895 12103 12285 12369 12635 13237 13671 13965 14079 14105 14945 15067 15561 15717 15903 16055 16245 16471 16653 16833 17019 17195 17199 17385 17689 17745 17955 18135 19005 19215 19747 20615 21177 21411 22021 22477 22743 22785 22815 22971 23465 24073 24339 24435 24583 24843 25137 25389 25935 26195 26505 26607 26901 27755 28055 28365 28665 28861 28899 29295 30589 30927 30951 31293 31941 32851 33123 33345 33573 34209 35295 35685 35929 36309 36673 37107 37905 38285 38857 39277 39711 40565 41013 41405 41895 42237 42315 44345 44707 44835 45201 46683 47151 48165 48735 49413 49959 50499 51057 51545 51585 52155 53067 53235 53599 54405 55205 55955 56791 57015 57645 59241 60515 61009 61845 63531 65341 66063 66185 67431 68229 68355 68913 70395 72163 72219 72943 73017 73749 74529 75335 76167 77287 77805 78337 78585 79515 79821 80703 82355 83265 84165 85095 85995 86583 86697 88445 91767 92659 92781 92853 98553 98735 99369 99541 100719 105469 105885 106609 107055 107787 108927 110019 110105 111321 112385 113715 114855 115297 116571 117831 119133 120365 121695 122915 124215 125685 126711 126945 133035 134121 134505 135603 141453 143533 144305 144495 145483 148239 149877 151497 152945 154147 154635 154755 156465 157339 159201 159705 160797 164255 165615 167865 168511 170373 171045 172081 177723 179645 181545 183027 183365 185535 194285 195871 196023 196385 198189 198555 202293 205065 206739 209779 211185 214123 216489 216657 218829 219051 221247 223535 223587 226005 229957 231861 233415 235011 235755 239463 247065 249795 251503 252495 255285 256711 259749 265335 267995 274939 275301 277977 278343 283955 286273 295659 296205 298107 298623 302157 305045 312949 316407 317655 319579 319827 323361 326705 326781 330057 330315 337155 341145 342271 344565 345891 349713 353493 357399 360815 361095 364715 365085 368745 372645 375193 380835 386435 391685 399105 402363 403515 406809 427063 430599 432915 433485 436449 444717 457387 458835 462441 463295 463905 464265 467077 472017 477603 482391 492765 496845 497705 503595 505141 505533 510601 511119 516243 527345 533045 533169 538935 541009 544635 548359 549081 550095 556605 576485 581191 582855 587613 588069 589155 594567 595665 606879 629337 633555 642369 649467 649971 656487 663741 670605 678015 682651 689871 695583 696787 705033 707265 717665 727415 738283 741195 746263 749385 754509 757485 770133 770735 779247 786695 796005 803985 824817 825903 833931 842555 849433 851865 858819 860405 886977 888615 895869 915135 938847 948259 949221 958737 959481 970083 979355 980115 990171 990945 1004731 1011465 1018381 1026813 1033695 1037673 1048895 1049139 1060479 1070615 1079029 1082445 1083285 1094145 1095255 1106235 1117935 1125579 1149785 1159305 1175055 1197315 1204567 1207089 1257515 1281189 1283555 1291797 1298745 1309347 1371097 1372161 1374695 1376505 1385917 1387323 1389885 1391715 1401231 1416051 1431365 1447173 1468453 1478295 1490535 1493115 1498861 1510785 1515423 1516599 1531803 1533357 1548729 1564745 1582035 1597895 1599135 1616805 1623027 1633905 1645077 1647243 1650285 1711355 1729455 1743573 1748565 1760521 1762839 1764207 1767465 1786995 1865929 1875965 1888011 1891279 1927107 1948401 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23079675801 23352808059 23576012915 23836386483 24094167045 24348996945 24618046635 24884139735 25509115359 26057698485 26366073615 26630395155 28265164655 29433594645 29673868887 30272158595 30312016605 33006418081 33502755195 33731833863 34837795629 35943757395 36340925985 37282553217 38084328555 38466126335 38921346765 39727310805 40166286615 42436823247 42515192265 43018330635 43369500681 46213402365 46903857273 48965565285 49456448145 50321260353 50877296379 53852576869 54489885471 54662390055 56219723105 58062992715 58704572745 62137588695 62644834317 64698763311 68551791399 69239027403 70728038745 72282501135 73046990835 76527346077 78173095455 78707612347 79891185465 83868767255 84795493965 90816475785 90936049815 99019254243 101195501589 104408057195 107831272185 109022777955 111847659651 114252985665 115398379005 116764040295 119181932415 127310469741 127545576795 146171280073 148369344435 150963781059 152631889137 161557730607 163469656413 165032090405 168659169315 174188978145 186412766085 187934502951 207717082209 212184116235 216847503405 234519286365 236122837041 251606301765 254386481895 269262884345 272449427355 297057762729 303586504767 313224171585 323493816555 342758956995 346195137015 382636730385 393538061735 438513840219 452891343177 484673191821 495096271215 505977507945 559238298255 563803508853 636552348705 708368511123 730856400365 754818905295 763159445685 807788653035 817348282065 891173288187 939672514755 1023198960511 1038585411045 1180614185205 1315541520657 1454019575463 1485288813645 1517932523835 2125105533369 2192569201095 2264456715885 2423365959105 2819017544265 3069596881533 3541842555615 3946624561971 4455866440935 5115994802555 6577707603285 7270097877315 9208790644599 10625527666845 15347984407665 19733122809855 27626371933797 46043953222995 138131859668985
- Sum of all divisors σ(n): 344409576376320
- Sum of proper divisors (its aliquot sum) s(n): 206277716707335
- 138131859668985 is an abundant number, because the sum of its proper divisors (206277716707335) is greater than itself. Its abundance is 68145857038350
Bases of 138131859668985
- Binary: 111110110100001010101000110110101111111111110012
- Hexadecimal: 0x7DA1546D7FF9
- Base-36: 1CYOWESD89
Squares and roots of 138131859668985
- 138131859668985 squared (1381318596689852) is 19080410655612164833770930225
- 138131859668985 cubed (1381318596689853) is 2635612607107625633947908663458784031571625
-
The
square root of 138131859668985 is 11752951.1046794117 -
The
cube root of 138131859668985 is 51692.9463305575
Scales and comparisons
How big is 138131859668985?- 138,131,859,668,985 seconds is equal to 4,392,165 years, 45 weeks, 19 hours, 9 minutes, 45 seconds.
-
To count from 1 to 138,131,859,668,985 would take you about ten million, nine hundred eighty thousand, four hundred fourteen 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 138131859668985 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131859668985
- 138131859668985 backwards is 589866958131831
- The number of decimal digits it has is: 15
- The sum of 138131859668985's digits is 81
- More coming soon!
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"Number 138131859668985 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138131859668985 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138131859668985/
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The information we have on file for 138131859668985 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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