138124134973440
138,124,134,973,440 is an even composite number composed of five prime numbers multiplied together.
What does the number 138124134973440 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138124134973440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138124134973440:
227 × 35 × 5 × 7 × 112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 11)See below for interesting mathematical facts about the number 138124134973440 from the Numbermatics database.
Names of 138124134973440
- Cardinal: 138124134973440 can be written as One hundred thirty-eight trillion, one hundred twenty-four billion, one hundred thirty-four million, nine hundred seventy-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3812413497344 × 1014
Factors of 138124134973440
Divisors of 138124134973440
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 121 126 128 132 135 140 144 154 160 162 165 168 176 180 189 192 198 210 216 220 224 231 240 242 243 252 256 264 270 280 288 297 308 315 320 324 330 336 352 360 363 378 384 385 396 405 420 432 440 448 462 480 484 486 495 504 512 528 540 560 567 576 594 605 616 630 640 648 660 672 693 704 720 726 756 768 770 792 810 840 847 864 880 891 896 924 945 960 968 972 990 1008 1024 1056 1080 1089 1120 1134 1152 1155 1188 1210 1215 1232 1260 1280 1296 1320 1344 1386 1408 1440 1452 1485 1512 1536 1540 1584 1620 1680 1694 1701 1728 1760 1782 1792 1815 1848 1890 1920 1936 1944 1980 2016 2048 2079 2112 2160 2178 2240 2268 2304 2310 2376 2420 2430 2464 2520 2541 2560 2592 2640 2673 2688 2772 2816 2835 2880 2904 2970 3024 3072 3080 3168 3240 3267 3360 3388 3402 3456 3465 3520 3564 3584 3630 3696 3780 3840 3872 3888 3960 4032 4096 4158 4224 4235 4320 4356 4455 4480 4536 4608 4620 4752 4840 4860 4928 5040 5082 5120 5184 5280 5346 5376 5445 5544 5632 5670 5760 5808 5940 6048 6144 6160 6237 6336 6480 6534 6720 6776 6804 6912 6930 7040 7128 7168 7260 7392 7560 7623 7680 7744 7776 7920 8064 8192 8316 8448 8470 8505 8640 8712 8910 8960 9072 9216 9240 9504 9680 9720 9801 9856 10080 10164 10240 10368 10395 10560 10692 10752 10890 11088 11264 11340 11520 11616 11880 12096 12288 12320 12474 12672 12705 12960 13068 13365 13440 13552 13608 13824 13860 14080 14256 14336 14520 14784 15120 15246 15360 15488 15552 15840 16128 16335 16384 16632 16896 16940 17010 17280 17424 17820 17920 18144 18432 18480 18711 19008 19360 19440 19602 19712 20160 20328 20480 20736 20790 21120 21384 21504 21780 22176 22528 22680 22869 23040 23232 23760 24192 24576 24640 24948 25344 25410 25920 26136 26730 26880 27104 27216 27648 27720 28160 28512 28672 29040 29403 29568 30240 30492 30720 30976 31104 31185 31680 32256 32670 32768 33264 33792 33880 34020 34560 34848 35640 35840 36288 36864 36960 37422 38016 38115 38720 38880 39204 39424 40320 40656 40960 41472 41580 42240 42768 43008 43560 44352 45056 45360 45738 46080 46464 47520 48384 49005 49152 49280 49896 50688 50820 51840 52272 53460 53760 54208 54432 55296 55440 56320 57024 57344 58080 58806 59136 60480 60984 61440 61952 62208 62370 63360 64512 65340 65536 66528 67584 67760 68040 68607 69120 69696 71280 71680 72576 73728 73920 74844 76032 76230 77440 77760 78408 78848 80640 81312 81920 82944 83160 84480 85536 86016 87120 88704 90112 90720 91476 92160 92928 93555 95040 96768 98010 98304 98560 99792 101376 101640 103680 104544 106920 107520 108416 108864 110592 110880 112640 114048 114345 114688 116160 117612 118272 120960 121968 122880 123904 124416 124740 126720 129024 130680 131072 133056 135168 135520 136080 137214 138240 139392 142560 143360 145152 147015 147456 147840 149688 152064 152460 154880 155520 156816 157696 161280 162624 163840 165888 166320 168960 171072 172032 174240 177408 180224 181440 182952 184320 185856 187110 190080 193536 196020 196608 197120 199584 202752 203280 205821 207360 209088 213840 215040 216832 217728 221184 221760 225280 228096 228690 229376 232320 235224 236544 241920 243936 245760 247808 248832 249480 253440 258048 261360 262144 266112 270336 271040 272160 274428 276480 278784 285120 286720 290304 294030 294912 295680 299376 304128 304920 309760 311040 313632 315392 322560 325248 327680 331776 332640 337920 342144 343035 344064 348480 354816 360448 362880 365904 368640 371712 374220 380160 387072 392040 393216 394240 399168 405504 406560 411642 414720 418176 427680 430080 433664 435456 442368 443520 450560 456192 457380 458752 464640 470448 473088 483840 487872 491520 495616 497664 498960 506880 516096 522720 524288 532224 540672 542080 544320 548856 552960 557568 570240 573440 580608 588060 589824 591360 598752 608256 609840 619520 622080 627264 630784 645120 650496 655360 663552 665280 675840 684288 686070 688128 696960 709632 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9512681472 9634775040 9688842240 9809952768 9965666304 9991618560 10150215680 10192158720 10277093376 10334765056 10569646080 10657726464 10871635968 10899947520 11072962560 11211374592 11240570880 11418992640 11626610688 11890851840 11989942272 12180258816 12262440960 12457082880 12683575296 12846366720 12918456320 13079937024 13287555072 13322158080 13488685056 13589544960 13702791168 14014218240 14092861440 14210301952 14269022208 14533263360 14948499456 14987427840 15225323520 15415640064 15502147584 15854469120 15986589696 16240345088 16307453952 16349921280 16609443840 16860856320 17128488960 17439916032 17762877440 17836277760 17984913408 18119393280 18270388224 18685624320 19025362944 19269550080 19377684480 19619905536 19931332608 19983237120 20300431360 20384317440 20554186752 21139292160 21315452928 21799895040 22145925120 22422749184 22481141760 22837985280 23253221376 23781703680 23979884544 24360517632 24524881920 24914165760 25367150592 25692733440 25836912640 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365407764480 380507258880 383678152704 392398110720 411083735040 418557984768 426309058560 431637921792 438489317376 448454983680 465064427520 479597690880 493300482048 511570870272 523197480960 539547402240 548111646720 568412078080 570760888320 575517229056 597939978240 616625602560 627836977152 639463587840 657733976064 697596641280 719396536320 730815528960 767356305408 784796221440 822167470080 837115969536 852618117120 863275843584 896909967360 959195381760 986600964096 1023141740544 1046394961920 1079094804480 1096223293440 1141521776640 1151034458112 1233251205120 1255673954304 1278927175680 1315467952128 1395193282560 1438793072640 1534712610816 1569592442880 1644334940160 1705236234240 1726551687168 1793819934720 1918390763520 1973201928192 2092789923840 2158189608960 2192446586880 2302068916224 2466502410240 2511347908608 2557854351360 2877586145280 3069425221632 3139184885760 3288669880320 3453103374336 3836781527040 3946403856384 4185579847680 4316379217920 4604137832448 4933004820480 5115708702720 5755172290560 6278369771520 6577339760640 6906206748672 7673563054080 8632758435840 9208275664896 9866009640960 11510344581120 12556739543040 13812413497344 15347126108160 17265516871680 19732019281920 23020689162240 27624826994688 34531033743360 46041378324480 69062067486720 138124134973440
- Sum of all divisors σ(n): 623783867878080
- Sum of proper divisors (its aliquot sum) s(n): 485659732904640
- 138124134973440 is an abundant number, because the sum of its proper divisors (485659732904640) is greater than itself. Its abundance is 347535597931200
Bases of 138124134973440
- Binary: 111110110011111100010000000000000000000000000002
- Hexadecimal: 0x7D9F88000000
- Base-36: 1CYLCNPC00
Squares and roots of 138124134973440
- 138124134973440 squared (1381241349734402) is 19078276662161070949505433600
- 138124134973440 cubed (1381241349734403) is 2635170460744966127427068649381071683584000
-
The
square root of 138124134973440 is 11752622.4721736041 -
The
cube root of 138124134973440 is 51691.9827109241
Scales and comparisons
How big is 138124134973440?- 138,124,134,973,440 seconds is equal to 4,391,920 years, 12 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,124,134,973,440 would take you about ten million, nine hundred seventy-nine thousand, eight hundred 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 138124134973440 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138124134973440
- 138124134973440 backwards is 044379431421831
- 138124134973440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138124134973440's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138124134973440 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 138124134973440 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138124134973440/
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The information we have on file for 138124134973440 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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