138400824960
138,400,824,960 is an even composite number composed of six prime numbers multiplied together.
138400824960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138400824960:
27 × 36 × 5 × 29 × 53 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 53 × 193)See below for interesting mathematical facts about the number 138400824960 from the Numbermatics database.
Names of 138400824960
- Cardinal: 138400824960 can be written as One hundred thirty-eight billion, four hundred million, eight hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3840082496 × 1011
Factors of 138400824960
Divisors of 138400824960
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 53 54 58 60 64 72 80 81 87 90 96 106 108 116 120 128 135 144 145 159 160 162 174 180 192 193 212 216 232 240 243 261 265 270 288 290 318 320 324 348 360 384 386 405 424 432 435 464 477 480 486 522 530 540 576 579 580 636 640 648 696 720 729 772 783 795 810 848 864 870 928 954 960 965 972 1044 1060 1080 1152 1158 1160 1215 1272 1296 1305 1392 1431 1440 1458 1537 1544 1566 1590 1620 1696 1728 1737 1740 1856 1908 1920 1930 1944 2088 2120 2160 2316 2320 2349 2385 2430 2544 2592 2610 2784 2862 2880 2895 2916 3074 3088 3132 3180 3240 3392 3456 3474 3480 3645 3712 3816 3860 3888 3915 4176 4240 4293 4320 4611 4632 4640 4698 4770 4860 5088 5184 5211 5220 5568 5597 5724 5760 5790 5832 6148 6176 6264 6360 6480 6784 6948 6960 7047 7155 7290 7632 7685 7720 7776 7830 8352 8480 8586 8640 8685 9222 9264 9280 9396 9540 9720 10176 10229 10368 10422 10440 11136 11194 11448 11580 11664 11745 12296 12352 12528 12720 12879 12960 13833 13896 13920 14094 14310 14580 15264 15370 15440 15552 15633 15660 16704 16791 16960 17172 17280 17370 18444 18528 18560 18792 19080 19440 20352 20458 20844 20880 21141 21465 22388 22896 23055 23160 23328 23490 24592 24704 25056 25440 25758 25920 26055 27666 27792 27840 27985 28188 28620 29160 30528 30687 30740 30880 31104 31266 31320 33408 33582 33920 34344 34740 35235 36888 37056 37584 38160 38637 38880 40916 41499 41688 41760 42282 42930 44776 45792 46110 46320 46656 46899 46980 49184 50112 50373 50880 51145 51516 51840 52110 55332 55584 55680 55970 56376 57240 58320 61056 61374 61480 61760 62532 62640 64395 67164 68688 69165 69480 70470 73776 74112 75168 76320 77274 77760 78165 81832 82998 83376 83520 83955 84564 85860 89552 91584 92061 92220 92640 93312 93798 93960 98368 100224 100746 101760 102290 103032 104220 105705 110664 111168 111940 112752 114480 116640 122748 122960 123520 124497 125064 125280 128790 134328 137376 138330 138960 140697 140940 147552 150336 151119 152640 153435 154548 155520 156330 163664 165996 166752 167040 167910 169128 171720 179104 183168 184122 184440 185280 187596 187920 193185 196736 201492 204580 206064 207495 208440 211410 221328 222336 223880 225504 228960 233280 234495 245496 245920 248994 250128 250560 251865 257580 268656 274752 276183 276660 277920 281394 281880 295104 296641 300672 302238 305280 306870 309096 312660 327328 331992 333504 335820 338256 343440 358208 368244 368880 370560 373491 375192 375840 386370 402984 409160 412128 414990 416880 422820 442656 447760 451008 453357 457920 460305 466560 468990 490992 491840 497988 500256 501120 503730 515160 537312 549504 552366 553320 555840 562788 563760 590208 593282 604476 613740 618192 622485 625320 654656 663984 667008 671640 676512 686880 703485 716416 736488 737760 746982 750384 751680 755595 772740 805968 818320 824256 828549 829980 833760 845640 885312 889923 895520 902016 906714 915840 920610 937980 981984 983680 995976 1000512 1007460 1030320 1074624 1104732 1106640 1111680 1120473 1125576 1127520 1186564 1208952 1227480 1236384 1244970 1250640 1309312 1327968 1343280 1353024 1360071 1373760 1380915 1406970 1472976 1475520 1483205 1493964 1500768 1503360 1511190 1545480 1611936 1636640 1648512 1657098 1659960 1667520 1691280 1770624 1779846 1791040 1813428 1841220 1867455 1875960 1963968 1991952 2001024 2014920 2060640 2149248 2209464 2213280 2240946 2251152 2255040 2266785 2373128 2417904 2454960 2472768 2485647 2489940 2501280 2655936 2669769 2686560 2706048 2720142 2747520 2761830 2813940 2945952 2951040 2966410 2987928 3001536 3022380 3090960 3223872 3273280 3314196 3319920 3335040 3382560 3559692 3582080 3626856 3682440 3734910 3751920 3927936 3983904 4029840 4080213 4121280 4142745 4418928 4426560 4449615 4481892 4502304 4510080 4533570 4746256 4835808 4909920 4945536 4971294 4979880 5002560 5311872 5339538 5373120 5440284 5523660 5602365 5627880 5891904 5932820 5975856 6003072 6044760 6181920 6447744 6546560 6628392 6639840 6765120 6800355 7119384 7253712 7364880 7456941 7469820 7503840 7967808 8009307 8059680 8160426 8242560 8285490 8837856 8853120 8899230 8963784 9004608 9067140 9492512 9671616 9819840 9942588 9959760 10005120 10679076 10746240 10880568 11047320 11204730 11255760 11783808 11865640 11951712 12089520 12363840 12428235 13256784 13279680 13348845 13530240 13600710 14238768 14507424 14729760 14913882 14939640 15007680 15935616 16018614 16119360 16320852 16570980 17675712 17798460 17927568 18009216 18134280 18985024 19343232 19639680 19885176 19919520 20401065 21358152 21761136 22094640 22409460 22511520 23731280 23903424 24027921 24179040 24727680 24856470 26513568 26559360 26697690 27201420 28477536 29014848 29459520 29827764 29879280 30015360 32037228 32238720 32641704 33141960 35351424 35596920 35855136 36268560 37284705 37970048 39770352 39839040 40046535 40802130 42716304 43522272 44189280 44818920 45023040 47462560 47806848 48055842 48358080 49712940 53027136 53395380 54402840 56955072 58029696 58919040 59655528 59758560 64074456 65283408 66283920 71193840 71710272 72083763 72537120 74569410 79540704 79678080 80093070 81604260 85432608 87044544 88378560 89637840 90046080 94925120 96111684 96716160 99425880 106054272 106790760 108805680 113910144 119311056 119517120 120139605 128148912 130566816 132567840 142387680 143420544 144167526 145074240 149138820 159081408 160186140 163208520 170865216 174089088 176757120 179275680 189850240 192223368 198851760 213581520 216251289 217611360 238622112 239034240 240279210 256297824 261133632 265135680 284775360 288335052 290148480 298277640 318162816 320372280 326417040 341730432 358551360 360418815 384446736 397703520 427163040 432502578 435222720 477244224 480558420 512595648 522267264 530271360 569550720 576670104 596555280 640744560 652834080 717102720 720837630 768893472 795407040 854326080 865005156 870445440 954488448 961116840 1025191296 1081256445 1153340208 1193110560 1281489120 1305668160 1441675260 1537786944 1590814080 1708652160 1730010312 1922233680 2162512890 2306680416 2386221120 2562978240 2611336320 2883350520 3075573888 3460020624 3844467360 4325025780 4613360832 4772442240 5125956480 5766701040 6920041248 7688934720 8650051560 9226721664 11533402080 13840082496 15377869440 17300103120 23066804160 27680164992 34600206240 46133608320 69200412480 138400824960
- Sum of all divisors σ(n): 525567301200
- Sum of proper divisors (its aliquot sum) s(n): 387166476240
- 138400824960 is an abundant number, because the sum of its proper divisors (387166476240) is greater than itself. Its abundance is 248765651280
Bases of 138400824960
- Binary: 100000001110010101010011111110100000002
- Hexadecimal: 0x203954FE80
- Base-36: 1RKWA000
Squares and roots of 138400824960
- 138400824960 squared (1384008249602) is 19154788349608559001600
- 138400824960 cubed (1384008249603) is 2651038509520021458898273959936000
-
The
square root of 138400824960 is 372022.6135062223 -
The
cube root of 138400824960 is 5172.6476113711
Scales and comparisons
How big is 138400824960?- 138,400,824,960 seconds is equal to 4,400 years, 37 weeks, 2 days, 9 hours, 36 minutes.
-
To count from 1 to 138,400,824,960 would take you about eight thousand, eight hundred one 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 138400824960 cubic inches would be around 431.1 feet tall.
Recreational maths with 138400824960
- 138400824960 backwards is 069428004831
- 138400824960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138400824960's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138400824960 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138400824960 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138400824960/
Chicago style:
Numbermatics. 2024. "Number 138400824960 - Facts about the integer". https://numbermatics.com/n/138400824960/
The information we have on file for 138400824960 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 138400824960, math, Factors of 138400824960, curriculum, school, college, exams, university, Prime factorization of 138400824960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred million, eight hundred twenty-four thousand, nine hundred sixty.