138390453704448
138,390,453,704,448 is an even composite number composed of four prime numbers multiplied together.
138390453704448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138390453704448:
28 × 39 × 112 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138390453704448 from the Numbermatics database.
Names of 138390453704448
- Cardinal: 138390453704448 can be written as One hundred thirty-eight trillion, three hundred ninety billion, four hundred fifty-three million, seven hundred four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38390453704448 × 1014
Factors of 138390453704448
Divisors of 138390453704448
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 61 64 66 72 81 88 96 99 108 121 122 128 132 144 162 176 183 192 198 216 242 243 244 256 264 288 297 324 352 363 366 384 396 432 484 486 488 528 549 576 594 648 671 704 726 729 732 768 792 864 891 968 972 976 1056 1089 1098 1152 1188 1296 1342 1408 1452 1458 1464 1584 1647 1728 1782 1936 1944 1952 2013 2112 2178 2187 2196 2304 2376 2592 2673 2684 2816 2904 2916 2928 3168 3267 3294 3456 3564 3721 3872 3888 3904 4026 4224 4356 4374 4392 4752 4941 5184 5346 5368 5808 5832 5856 6039 6336 6534 6561 6588 6912 7128 7381 7442 7744 7776 7808 8019 8052 8448 8712 8748 8784 9504 9801 9882 10368 10692 10736 11163 11616 11664 11712 12078 12672 13068 13122 13176 14256 14762 14823 14884 15488 15552 15616 16038 16104 17424 17496 17568 18117 19008 19602 19683 19764 20736 21384 21472 22143 22326 23232 23328 23424 24057 24156 25344 26136 26244 26352 28512 29403 29524 29646 29768 30976 31104 32076 32208 33489 34848 34992 35136 36234 38016 39204 39366 39528 40931 42768 42944 44286 44469 44652 46464 46656 46848 48114 48312 52272 52488 52704 54351 57024 58806 59048 59292 59536 62208 64152 64416 66429 66978 69696 69984 70272 72171 72468 76032 78408 78732 79056 81862 85536 85888 88209 88572 88938 89304 92928 93312 96228 96624 100467 104544 104976 105408 108702 114048 117612 118096 118584 119072 122793 128304 128832 132858 133407 133956 139392 139968 140544 144342 144936 156816 157464 158112 163053 163724 171072 171776 176418 177144 177876 178608 186624 192456 193248 199287 200934 209088 209952 210816 216513 217404 226981 228096 235224 236192 237168 238144 245586 256608 257664 264627 265716 266814 267912 278784 279936 288684 289872 301401 313632 314928 316224 326106 327448 342144 352836 354288 355752 357216 368379 384912 386496 398574 400221 401868 418176 419904 421632 433026 434808 450241 453962 470448 472384 474336 476288 489159 491172 513216 515328 529254 531432 533628 535824 559872 577368 579744 597861 602802 627264 629856 632448 652212 654896 680943 684288 705672 708576 711504 714432 736758 769824 772992 793881 797148 800442 803736 836352 839808 866052 869616 900482 904203 907924 940896 944768 948672 952576 978318 982344 1026432 1058508 1062864 1067256 1071648 1105137 1154736 1159488 1195722 1200663 1205604 1254528 1259712 1264896 1304424 1309792 1350723 1361886 1411344 1417152 1423008 1428864 1467477 1473516 1539648 1545984 1587762 1594296 1600884 1607472 1679616 1732104 1739232 1793583 1800964 1808406 1815848 1881792 1889536 1897344 1956636 1964688 2042829 2052864 2117016 2125728 2134512 2143296 2210274 2309472 2318976 2381643 2391444 2401326 2411208 2496791 2509056 2519424 2608848 2619584 2701446 2712609 2723772 2822688 2834304 2846016 2857728 2934954 2947032 3079296 3175524 3188592 3201768 3214944 3315411 3464208 3478464 3587166 3601928 3616812 3631696 3763584 3794688 3913272 3929376 4052169 4085658 4234032 4251456 4269024 4286592 4402431 4420548 4618944 4637952 4763286 4782888 4802652 4822416 4993582 5038848 5217696 5239168 5380749 5402892 5425218 5447544 5645376 5668608 5692032 5869908 5894064 6128487 6158592 6351048 6377184 6403536 6429888 6630822 6928416 6956928 7174332 7203856 7233624 7263392 7490373 7527168 7826544 7858752 8104338 8137827 8171316 8468064 8502912 8538048 8573184 8804862 8841096 9237888 9526572 9565776 9605304 9644832 9946233 9987164 10435392 10478336 10761498 10805784 10850436 10895088 11290752 11384064 11739816 11788128 12156507 12256974 12702096 12754368 12807072 12859776 13207293 13261644 13856832 13913856 14348664 14407712 14467248 14526784 14980746 15653088 15717504 16142247 16208676 16275654 16342632 16936128 17005824 17076096 17609724 17682192 18385461 18475776 19053144 19131552 19210608 19289664 19892466 19974328 20870784 21522996 21611568 21700872 21790176 22471119 22581504 23479632 23576256 24313014 24413481 24513948 25404192 25508736 25614144 25719552 26414586 26523288 27464701 27713664 28697328 28815424 28934496 29053568 29838699 29961492 31306176 31435008 32284494 32417352 32551308 32685264 33872256 34152192 35219448 35364384 36469521 36770922 38106288 38263104 38421216 38579328 39784932 39948656 41741568 43045992 43223136 43401744 43580352 44942238 46959264 47152512 48426741 48626028 48826962 49027896 50808384 51017472 51228288 52829172 53046576 54929402 55156383 55427328 57394656 57630848 57868992 58107136 59677398 59922984 62612352 64568988 64834704 65102616 65370528 67413357 67744512 70438896 70728768 72939042 73240443 73541844 76212576 76526208 76842432 77158656 79569864 79897312 82394103 86091984 86446272 86803488 87160704 89516097 89884476 93918528 94305024 96853482 97252056 97653924 98055792 101616768 102456576 105658344 106093152 109408563 109858804 110312766 114789312 115261696 115737984 119354796 119845968 125224704 129137976 129669408 130205232 130741056 134826714 140877792 141457536 145280223 145878084 146480886 147083688 152425152 153052416 153684864 159139728 159794624 164788206 165469149 172183968 172892544 173606976 174321408 179032194 179768952 187837056 193706964 194504112 195307848 196111584 202240071 203233536 211316688 212186304 218817126 219717608 220625532 229578624 231475968 238709592 239691936 247182309 258275952 259338816 260410464 261482112 268548291 269653428 281755584 282915072 290560446 291756168 292961772 294167376 304850304 307369728 318279456 319589248 328225689 329576412 330938298 344367936 345785088 347213952 358064388 359537904 375674112 387413928 389008224 390615696 392223168 404480142 422633376 424372608 437634252 439435216 441251064 459157248 477419184 479383872 494364618 496407447 516551904 518677632 520820928 522964224 537096582 539306856 563511168 581120892 583512336 585923544 588334752 606720213 609700608 636558912 639178496 656451378 659152824 661876596 688735872 694427904 716128776 719075808 741546927 774827856 778016448 781231392 784446336 805644873 808960284 845266752 848745216 875268504 878870432 882502128 954838368 958767744 984677067 988729236 992814894 1033103808 1037355264 1041641856 1074193164 1078613712 1127022336 1162241784 1167024672 1171847088 1176669504 1213440426 1273117824 1312902756 1318305648 1323753192 1377471744 1432257552 1438151616 1483093854 1489222341 1549655712 1556032896 1562462784 1568892672 1611289746 1617920568 1690533504 1750537008 1757740864 1765004256 1820160639 1909676736 1917535488 1969354134 1977458472 1985629788 2066207616 2083283712 2148386328 2157227424 2224640781 2324483568 2334049344 2343694176 2353339008 2426880852 2546235648 2625805512 2636611296 2647506384 2864515104 2876303232 2954031201 2966187708 2978444682 3099311424 3112065792 3124925568 3222579492 3235841136 3381067008 3501074016 3515481728 3530008512 3640321278 3819353472 3938708268 3954916944 3971259576 4132415232 4296772656 4314454848 4449281562 4467667023 4648967136 4668098688 4687388352 4706678016 4853761704 5251611024 5273222592 5295012768 5460481917 5729030208 5752606464 5908062402 5932375416 5956889364 6198622848 6249851136 6445158984 6471682272 6673922343 7002148032 7030963456 7060017024 7280642556 7638706944 7877416536 7909833888 7942519152 8593545312 8628909696 8862093603 8898563124 8935334046 9297934272 9336197376 9374776704 9707523408 10503222048 10546445184 10590025536 10920963834 11458060416 11816124804 11864750832 11913778728 12397245696 12890317968 12943364544 13347844686 14004296064 14120034048 14561285112 15754833072 15819667776 15885038304 16381445751 17187090624 17257819392 17724187206 17797126248 17870668092 18595868544 18749553408 19415046816 20021767029 21006444096 21092890368 21180051072 21841927668 22916120832 23632249608 23729501664 23827557456 25780635936 25886729088 26695689372 28008592128 29122570224 31509666144 31639335552 31770076608 32762891502 34374181248 35448374412 35594252496 35741336184 37191737088 38830093632 40043534058 42012888192 42360102144 43683855336 47264499216 47459003328 47655114912 49144337253 51561271872 51773458176 53391378744 58245140448 60065301087 63019332288 63278671104 63540153216 65525783004 68748362496 70896748824 71188504992 71482672368 77660187264 80087068116 84025776384 87367710672 94528998432 94918006656 95310229824 98288674506 103122543744 106782757488 116490280896 120130602174 126038664576 127080306432 131051566008 141793497648 142377009984 142965344736 155320374528 160174136232 174735421344 180195903261 189057996864 189836013312 190620459648 196577349012 206245087488 213565514976 232980561792 240261204348 252077329152 262103132016 283586995296 284754019968 285930689472 320348272464 349470842688 360391806522 378115993728 381240919296 393154698024 427131029952 465961123584 480522408696 524206264032 540587709783 567173990592 569508039936 571861378944 640696544928 698941685376 720783613044 756231987456 786309396048 854262059904 961044817392 1048412528064 1081175419566 1134347981184 1143722757888 1281393089856 1397883370752 1441567226088 1572618792096 1708524119808 1922089634784 2096825056128 2162350839132 2268695962368 2562786179712 2883134452176 3145237584192 3844179269568 4193650112256 4324701678264 5125572359424 5766268904352 6290475168384 7688358539136 8649403356528 11532537808704 12580950336768 15376717078272 17298806713056 23065075617408 34597613426112 46130151234816 69195226852224 138390453704448
- Sum of all divisors σ(n): 463037107023568
- Sum of proper divisors (its aliquot sum) s(n): 324646653319120
- 138390453704448 is an abundant number, because the sum of its proper divisors (324646653319120) is greater than itself. Its abundance is 186256199614672
Bases of 138390453704448
- Binary: 111110111011101100010011101010101010111000000002
- Hexadecimal: 0x7DDD89D55700
- Base-36: 1D1ZP30000
Squares and roots of 138390453704448
- 138390453704448 squared (1383904537044482) is 19151917676522965166134984704
- 138390453704448 cubed (1383904537044483) is 2650442576564250717635890557688088616763392
-
The
square root of 138390453704448 is 11763947.1991525021 -
The
cube root of 138390453704448 is 51725.1840166355
Scales and comparisons
How big is 138390453704448?- 138,390,453,704,448 seconds is equal to 4,400,388 years, 18 weeks, 4 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,390,453,704,448 would take you about eleven million, nine hundred seventy 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 138390453704448 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138390453704448
- 138390453704448 backwards is 844407354093831
- The number of decimal digits it has is: 15
- The sum of 138390453704448's digits is 63
- More coming soon!
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The information we have on file for 138390453704448 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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