138342960108288
138,342,960,108,288 is an even composite number composed of six prime numbers multiplied together.
What does the number 138342960108288 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138342960108288 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138342960108288:
28 × 33 × 13 × 19 × 23 × 18772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 23 × 1877 × 1877)See below for interesting mathematical facts about the number 138342960108288 from the Numbermatics database.
Names of 138342960108288
- Cardinal: 138342960108288 can be written as One hundred thirty-eight trillion, three hundred forty-two billion, nine hundred sixty million, one hundred eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38342960108288 × 1014
Factors of 138342960108288
Divisors of 138342960108288
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 23 24 26 27 32 36 38 39 46 48 52 54 57 64 69 72 76 78 92 96 104 108 114 117 128 138 144 152 156 171 184 192 207 208 216 228 234 247 256 276 288 299 304 312 342 351 368 384 414 416 432 437 456 468 494 513 552 576 598 608 621 624 684 702 736 741 768 828 832 864 874 897 912 936 988 1026 1104 1152 1196 1216 1242 1248 1311 1368 1404 1472 1482 1656 1664 1728 1748 1794 1824 1872 1877 1976 2052 2208 2223 2304 2392 2432 2484 2496 2622 2691 2736 2808 2944 2964 3312 3328 3456 3496 3588 3648 3744 3754 3933 3952 4104 4416 4446 4784 4864 4968 4992 5244 5382 5472 5616 5631 5681 5888 5928 6624 6669 6912 6992 7176 7296 7488 7508 7866 7904 8073 8208 8832 8892 9568 9936 9984 10488 10764 10944 11232 11262 11362 11799 11856 13248 13338 13984 14352 14592 14976 15016 15732 15808 16146 16416 16893 17043 17664 17784 19136 19872 20976 21528 21888 22464 22524 22724 23598 23712 24401 26496 26676 27968 28704 29952 30032 31464 31616 32292 32832 33786 34086 35568 35663 38272 39744 41952 43056 43171 43776 44928 45048 45448 47196 47424 48802 50679 51129 52992 53352 55936 57408 60064 62928 63232 64584 65664 67572 68172 71136 71326 73203 76544 79488 83904 86112 86342 89856 90096 90896 94392 94848 97604 101358 102258 106704 106989 111872 114816 120128 125856 129168 129513 131328 135144 136344 142272 142652 146406 153387 158976 167808 172224 172684 180192 181792 188784 189696 195208 202716 204516 213408 213978 219609 229632 240256 251712 258336 259026 270288 272688 284544 285304 292812 306774 320967 335616 344448 345368 360384 363584 377568 388539 390416 405432 409032 426816 427956 439218 463619 480512 503424 516672 518052 540576 545376 561223 569088 570608 585624 613548 641934 658827 688896 690736 720768 727168 755136 777078 780832 810864 818064 820249 853632 855912 878436 927238 962901 1006848 1033344 1036104 1081152 1090752 1122446 1141216 1165617 1171248 1227096 1283868 1317654 1381472 1390857 1441536 1454336 1510272 1554156 1561664 1621728 1636128 1640498 1683669 1707264 1711824 1756872 1854476 1925802 2066688 2072208 2162304 2181504 2244892 2282432 2331234 2342496 2454192 2460747 2567736 2635308 2762944 2781714 3020544 3108312 3123328 3243456 3272256 3280996 3367338 3423648 3513744 3523129 3708952 3851604 4144416 4172571 4324608 4363008 4489784 4564864 4662468 4684992 4908384 4921494 5051007 5135472 5270616 5525888 5563428 6216624 6246656 6486912 6544512 6561992 6734676 6847296 7027488 7046258 7382241 7417904 7703208 8288832 8345142 8979568 9129728 9324936 9369984 9816768 9842988 10102014 10270944 10541232 10569387 10663237 11051776 11126856 12433248 12517713 12973824 13089024 13123984 13469352 13694592 14054976 14092516 14764482 14835808 15153021 15406416 16577664 16690284 17959136 18649872 18739968 19633536 19685976 20204028 20541888 21082464 21138774 21326474 22146723 22253712 24866496 25035426 26247968 26938704 27389184 28109952 28185032 29528964 29671616 30306042 30812832 31708161 31989711 33155328 33380568 35918272 37299744 39267072 39371952 40408056 41083776 42164928 42277548 42652948 44293446 44507424 45800677 49732992 50070852 52495936 53877408 56219904 56370064 59057928 59343232 60612084 61625664 63416322 63979422 66761136 66939451 71836544 74599488 78743904 80816112 81031967 82167552 84329856 84555096 85305896 88586892 89014848 91601354 95124483 95969133 99465984 100141704 104991872 107754816 112740128 118115856 118686464 121224168 123251328 126832644 127958844 133522272 133878902 137402031 143673088 149198976 157487808 161632224 162063934 168659712 169110192 170611792 177173784 178029696 183202708 190248966 191938266 200283408 200818353 209983744 215509632 225480256 236231712 242448336 243095901 246502656 253665288 255917688 267044544 267757804 274804062 287907399 298397952 314975616 323264448 324127868 338220384 341223584 354347568 356059392 366405416 380497932 383876532 400566816 401636706 412206093 431019264 450960512 472463424 484896672 486191802 507330576 511835376 534089088 535515608 549608124 575814798 602455059 629951232 646528896 648255736 676440768 682447168 708695136 729287703 732810832 760995864 767753064 801133632 803273412 824412186 870212863 901921024 944926848 969793344 972383604 1014661152 1023670752 1053415571 1068178176 1071031216 1099216248 1151629596 1204910118 1236618279 1293057792 1296511472 1352881536 1364894336 1417390272 1458575406 1465621664 1521991728 1535506128 1539607373 1602267264 1606546824 1648824372 1740425726 1807365177 1889853696 1939586688 1944767208 2029322304 2047341504 2106831142 2142062432 2187863109 2198432496 2303259192 2409820236 2473236558 2593022944 2610638589 2705763072 2729788672 2834780544 2917150812 2931243328 3043983456 3071012256 3079214746 3160246713 3204534528 3213093648 3297648744 3480851452 3614730354 3879173376 3889534416 4058644608 4094683008 4213662284 4284124864 4375726218 4396864992 4606518384 4618822119 4819640472 4946473116 5186045888 5221277178 5669561088 5834301624 5862486656 6087966912 6142024512 6158429492 6320493426 6426187296 6595297488 6961702904 7229460708 7779068832 7831915767 8117289216 8189366016 8427324568 8568249728 8751452436 8793729984 9213036768 9237644238 9480740139 9639280944 9892946232 10372091776 10442554356 11668603248 11724973312 12175933824 12284049024 12316858984 12640986852 12852374592 13190594976 13856466357 13923405808 14458921416 15558137664 15663831534 16854649136 17136499456 17502904872 17587459968 18426073536 18475288476 18961480278 19278561888 19785892464 20014895849 20744183552 20885108712 23337206496 23495747301 24351867648 24568098048 24633717968 25281973704 25704749184 26381189952 27712932714 27846811616 28442220417 28917842832 31116275328 31327663068 33709298272 35005809744 35174919936 36852147072 36950576952 37922960556 38557123776 39571784928 40029791698 41569399071 41770217424 46674412992 46991494602 49267435936 50563947408 51409498368 52762379904 55425865428 55693623232 56884440834 57835685664 60044687547 62232550656 62655326136 67418596544 70011619488 73704294144 73901153904 75845921112 77114247552 79143569856 80059583396 83138798142 83540434848 93348825984 93982989204 98534871872 101127894816 105524759808 110851730856 111387246464 113768881668 115671371328 120089375094 125310652272 134837193088 140023238976 147802307808 151691842224 154228495104 158287139712 160119166792 166277596284 167080869696 180134062641 186697651968 187965978408 197069743744 202255789632 221703461712 222774492928 227537763336 231342742656 240178750188 250621304544 269674386176 280046477952 295604615616 303383684448 316574279424 320238333584 332555192568 334161739392 360268125282 375931956816 394139487488 404511579264 443406923424 455075526672 462685485312 480357500376 501242609088 540402187923 560092955904 591209231232 606767368896 640476667168 665110385136 668323478784 720536250564 751863913632 809023158528 886813846848 910151053344 960715000752 1002485218176 1080804375846 1182418462464 1213534737792 1280953334336 1330220770272 1441072501128 1503727827264 1773627693696 1820302106688 1921430001504 2004970436352 2161608751692 2427069475584 2561906668672 2660441540544 2882145002256 3007455654528 3547255387392 3640604213376 3842860003008 4323217503384 5123813337344 5320883081088 5764290004512 6014911309056 7281208426752 7685720006016 8646435006768 10641766162176 11528580009024 15371440012032 17292870013536 23057160018048 34585740027072 46114320036096 69171480054144 138342960108288
- Sum of all divisors σ(n): 484183681497600
- Sum of proper divisors (its aliquot sum) s(n): 345840721389312
- 138342960108288 is an abundant number, because the sum of its proper divisors (345840721389312) is greater than itself. Its abundance is 207497761281024
Bases of 138342960108288
- Binary: 111110111010010011110101111111010010011000000002
- Hexadecimal: 0x7DD27AFE9300
- Base-36: 1D1DVMJEO0
Squares and roots of 138342960108288
- 138342960108288 squared (1383429601082882) is 19138774611523364916686290944
- 138342960108288 cubed (1383429601082883) is 2647714732603492036867177020712279313743872
-
The
square root of 138342960108288 is 11761928.4179205919 -
The
cube root of 138342960108288 is 51719.2662286819
Scales and comparisons
How big is 138342960108288?- 138,342,960,108,288 seconds is equal to 4,398,878 years, 10 weeks, 5 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,342,960,108,288 would take you about ten million, nine hundred ninety-seven thousand, one hundred ninety-five 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 138342960108288 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138342960108288
- 138342960108288 backwards is 882801069243831
- The number of decimal digits it has is: 15
- The sum of 138342960108288's digits is 63
- More coming soon!
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The information we have on file for 138342960108288 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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