138132355588920
138,132,355,588,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138132355588920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
138132355588920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138132355588920:
23 × 34 × 5 × 72 × 11 × 29 × 612 × 733
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 29 × 61 × 61 × 733)See below for interesting mathematical facts about the number 138132355588920 from the Numbermatics database.
Names of 138132355588920
- Cardinal: 138132355588920 can be written as One hundred thirty-eight trillion, one hundred thirty-two billion, three hundred fifty-five million, five hundred eighty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3813235558892 × 1014
Factors of 138132355588920
Divisors of 138132355588920
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 29 30 33 35 36 40 42 44 45 49 54 55 56 58 60 61 63 66 70 72 77 81 84 87 88 90 98 99 105 108 110 116 120 122 126 132 135 140 145 147 154 162 165 168 174 180 183 189 196 198 203 210 216 220 231 232 244 245 252 261 264 270 280 290 294 297 305 308 315 319 324 330 348 360 366 378 385 392 396 405 406 420 427 435 440 441 462 488 490 495 504 522 539 540 549 567 580 588 594 609 610 616 630 638 648 660 671 693 696 732 733 735 756 770 783 792 810 812 840 854 870 882 891 915 924 945 957 980 990 1015 1044 1078 1080 1098 1134 1155 1160 1176 1188 1218 1220 1260 1276 1281 1305 1320 1323 1342 1386 1421 1464 1466 1470 1485 1512 1540 1566 1595 1617 1620 1624 1647 1708 1740 1764 1769 1782 1827 1830 1848 1890 1914 1960 1980 2013 2030 2079 2088 2135 2156 2196 2199 2205 2233 2268 2310 2349 2376 2436 2440 2520 2552 2562 2610 2646 2684 2695 2745 2772 2835 2842 2871 2932 2940 2970 2989 3045 3080 3132 3190 3234 3240 3294 3355 3416 3465 3480 3528 3538 3564 3654 3660 3665 3721 3780 3828 3843 3915 3960 3969 4026 4060 4158 4263 4270 4312 4392 4398 4410 4455 4466 4536 4620 4697 4698 4785 4851 4872 4941 5124 5131 5220 5292 5307 5368 5390 5481 5490 5544 5670 5684 5742 5864 5880 5940 5978 6039 6090 6237 6264 6380 6405 6468 6588 6597 6615 6699 6710 6930 7076 7105 7128 7308 7320 7330 7442 7560 7656 7686 7830 7938 8052 8063 8085 8120 8235 8316 8526 8540 8613 8796 8820 8845 8910 8932 8967 9135 9240 9394 9396 9570 9702 9882 10065 10248 10262 10395 10440 10584 10614 10780 10962 10980 10995 11163 11165 11340 11368 11484 11529 11745 11880 11956 12078 12180 12383 12474 12760 12789 12810 12936 13176 13194 13230 13398 13420 13860 14091 14152 14210 14355 14553 14616 14660 14884 14945 15372 15393 15631 15660 15876 15921 16104 16126 16170 16443 16470 16632 17052 17080 17226 17592 17640 17690 17820 17864 17934 18117 18270 18605 18788 18792 19140 19215 19404 19459 19764 19791 19845 20097 20130 20524 20790 21228 21257 21315 21560 21924 21960 21990 22326 22330 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22681831788 22873382280 23106784140 23254605318 23491897209 23555995155 24056488260 24301962630 24361967476 24915648555 25160720508 25202035320 25627524228 25732555065 26028331560 26102108010 26462137086 26921137320 26957914830 27956356120 28352289735 28475026920 28867785912 29402374540 29408634360 29898778266 30452459345 30929770620 31006140424 31322529612 31407993540 31450900635 32034405285 32349497796 32402616840 33220864740 34022747682 34310073420 34802810680 34881907977 35282849448 35943886440 36084732390 36542951214 37122374520 37689592248 37741080762 37803052980 38757675530 39042497340 39153162015 39693205629 39865037688 40436872245 41172088104 41934534180 42633443083 42712540380 43301678868 44103561810 44848167399 45363663576 46213568280 46509210636 46983794418 47111990310 48112976520 48603925260 48723934952 49831297110 50321441016 51255048456 51465110130 52204216020 52924274172 53915829660 54127098585 54814426821 56611621143 56704579470 58136513295 58804749080 59797556532 60904918690 61859541240 62645059224 62815987080 62901801270 64068810570 64698995592 66155342715 66441729480 68045495364 68620146840 69763815954 70475691627 72169464780 73085902428 74746945665 75482161524 75606105960 77515351060 78084994680 78306324030 79386411258 80873744490 83869068360 85056869205 85266886166 85425080760 86603357736 88207123620 89696334798 91357378035 93018421272 93967588836 94223980620 94352701905 97207850520 99662594220 102930220260 104408432040 104645723931 105848548344 107831659320 108254197170 109628853642 113223242286 113409158940 116273026590 117459486045 119079616887 119595113064 121809837380 125803602540 127900329249 128137621140 132310685430 136090990728 139527631908 140951383254 144338929560 146171804856 149493891330 150964323048 155030702120 156612648060 158772822516 161747488980 164443280463 170113738410 170533772332 174409539885 176414247240 179392669596 182714756070 187935177672 188447961240 188705403810 198466028145 199325188440 205860440520 209291447862 213167215415 216508394340 219257707284 224240836995 226446484572 226818317880 232546053180 234918972090 238159233774 243619674760 251607205080 255800658498 256275242280 264621370860 274072134105 279055263816 281902766508 283058105715 298987782660 313225296120 313937171793 317545645032 323494977960 328886560926 340227476820 341067544664 348819079770 352378458135 358785339192 365429512140 377410807620 383700987747 396932056290 418582895724 426334430830 433016788680 438515414568 448481673990 452892969144 465092106360 469837944180 476318467548 493329841389 511601316996 523228619655 529242741720 548144268210 563805533016 566116211430 595398084435 597975565320 627874343586 639501646245 657773121852 680454953640 697638159540 704756916270 730859024280 754821615240 767401975494 793864112580 822216402315 837165791448 852668861660 896963347980 939675888360 952636935096 986659682778 1023202633992 1046457239310 1096288536420 1132232422860 1151102963241 1190796168870 1255748687172 1279003292490 1315546243704 1395276319080 1409513832540 1534803950988 1569685858965 1587728225160 1644432804630 1705337723320 1793926695960 1918504938735 1973319365556 2092914478620 2192577072840 2264464845720 2302205926482 2381592337740 2466649206945 2511497374344 2558006584980 2819027665080 3069607901976 3139371717930 3288865609260 3453308889723 3837009877470 3946638731112 4185828957240 4604411852964 4763184675480 4933298413890 5116013169960 5755514816205 6278743435860 6577731218520 6906617779446 7674019754940 9208823705928 9866596827780 11511029632410 12557486871720 13813235558892 15348039509880 17266544448615 19733193655560 23022059264820 27626471117784 34533088897230 46044118529640 69066177794460 138132355588920
- Sum of all divisors σ(n): 620494072941600
- Sum of proper divisors (its aliquot sum) s(n): 482361717352680
- 138132355588920 is an abundant number, because the sum of its proper divisors (482361717352680) is greater than itself. Its abundance is 344229361763760
Bases of 138132355588920
- Binary: 111110110100001011100011111110010100011001110002
- Hexadecimal: 0x7DA171FCA338
- Base-36: 1CYP4M1NI0
Squares and roots of 138132355588920
- 138132355588920 squared (1381323555889202) is 19080547660543838360026766400
- 138132355588920 cubed (1381323555889203) is 2635640994277577101657312392853835268288000
-
The
square root of 138132355588920 is 11752972.2023375857 -
The
cube root of 138132355588920 is 51693.0081930223
Scales and comparisons
How big is 138132355588920?- 138,132,355,588,920 seconds is equal to 4,392,181 years, 33 weeks, 14 hours, 42 minutes.
-
To count from 1 to 138,132,355,588,920 would take you about ten million, nine hundred eighty thousand, four hundred fifty-four 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 138132355588920 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138132355588920
- 138132355588920 backwards is 029885553231831
- 138132355588920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138132355588920's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138132355588920 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138132355588920 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138132355588920/
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Numbermatics. 2024. "Number 138132355588920 - Facts about the integer". https://numbermatics.com/n/138132355588920/
The information we have on file for 138132355588920 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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