138408696854400

Names of 138408696854400

• Cardinal: 138408696854400 can be written as One hundred thirty-eight trillion, four hundred eight billion, six hundred ninety-six million, eight hundred fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.384086968544 × 10¹⁴

Factors of 138408696854400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 77430

Divisors of 138408696854400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 61 64 70 75 80 84 96 100 105 112 120 122 128 140 150 160 168 175 183 192 200 210 224 240 244 280 300 305 320 336 350 366 384 400 420 427 439 448 480 488 525 560 600 610 640 672 700 732 800 840 854 878 896 915 960 976 1050 1120 1200 1220 1281 1317 1344 1400 1464 1525 1600 1680 1708 1756 1830 1920 1952 2100 2135 2195 2240 2400 2440 2562 2634 2688 2800 2928 3050 3073 3200 3360 3416 3512 3660 3904 4200 4270 4390 4480 4575 4800 4880 5124 5268 5600 5856 6100 6146 6405 6585 6720 6832 7024 7320 7808 8400 8540 8780 9150 9219 9600 9760 10248 10536 10675 10975 11200 11712 12200 12292 12810 13170 13440 13664 14048 14640 15365 16800 17080 17560 18300 18438 19520 20496 21072 21350 21950 22400 23424 24400 24584 25620 26340 26779 27328 28096 29280 30730 32025 32925 33600 34160 35120 36600 36876 39040 40992 42144 42700 43900 46095 48800 49168 51240 52680 53558 54656 56192 58560 61460 64050 65850 67200 68320 70240 73200 73752 76825 76913 80337 81984 84288 85400 87800 92190 97600 98336 102480 105360 107116 117120 122920 128100 131700 133895 136640 140480 146400 147504 153650 153826 160674 163968 168576 170800 175600 184380 187453 195200 196672 204960 210720 214232 230475 230739 245840 256200 263400 267790 273280 280960 292800 295008 307300 307652 321348 341600 351200 368760 374906 384565 393344 401685 409920 421440 428464 460950 461478 491680 512400 526800 535580 538391 562359 585600 590016 614600 615304 642696 669475 683200 702400 737520 749812 769130 803370 819840 842880 856928 921900 922956 937265 983360 1024800 1053600 1071160 1076782 1124718 1153695 1180032 1229200 1230608 1285392 1338950 1366400 1404800 1475040 1499624 1538260 1606740 1615173 1713856 1843800 1845912 1874530 1922825 1966720 2008425 2049600 2107200 2142320 2153564 2249436 2307390 2458400 2461216 2570784 2677900 2691955 2811795 2950080 2999248 3076520 3213480 3230346 3427712 3687600 3691824 3749060 3845650 4016850 4099200 4214400 4284640 4307128 4498872 4614780 4686325 4691693 4916800 4922432 5141568 5355800 5383910 5623590 5768475 5900160 5998496 6153040 6426960 6460692 7375200 7383648 7498120 7691300 8033700 8075865 8569280 8614256 8997744 9229560 9372650 9383386 9833600 9844864 10283136 10711600 10767820 11247180 11536950 11996992 12306080 12853920 12921384 13459775 14058975 14075079 14750400 14767296 14996240 15382600 16067400 16151730 17138560 17228512 17995488 18459120 18745300 18766772 21423200 21535640 22494360 23073900 23458465 23993984 24612160 25707840 25842768 26919550 28117950 28150158 29500800 29534592 29992480 30765200 32134800 32303460 32841851 33764807 34457024 35990976 36918240 37490600 37533544 40379325 42846400 43071280 44988720 46147800 46916930 49224320 51415680 51685536 53839100 56235900 56300316 59984960 61530400 64269600 64606920 65683702 67529614 68914048 70375395 71981952 73836480 74981200 75067088 80758650 85692800 86142560 89977440 92295600 93833860 98525553 101294421 103371072 107678200 112471800 112600632 117292325 119969920 123060800 128539200 129213840 131367404 135059228 140750790 147672960 149962400 150134176 161517300 164209255 168824035 172285120 179954880 184591200 187667720 197051106 202588842 206742144 215356400 224943600 225201264 234584650 236353649 246121600 257078400 258427680 262734808 270118456 281501580 299924800 300268352 323034600 328418510 337648070 344570240 351876975 359909760 369182400 375335440 394102212 405177684 430712800 449887200 450402528 469169300 472707298 492627765 506472105 516855360 525469616 540236912 563003160 599849600 600536704 646069200 656837020 675296140 703753950 709060947 738364800 750670880 788204424 810355368 821046275 844120175 861425600 899774400 900805056 938338600 945414596 985255530 1012944210 1033710720 1050939232 1080473824 1126006320 1181768245 1292138400 1313674040 1350592280 1407507900 1418121894 1501341760 1576408848 1620710736 1642092550 1688240350 1722851200 1799548800 1801610112 1876677200 1890829192 1970511060 2025888420 2059653227 2101878464 2160947648 2252012640 2363536490 2463138825 2532360525 2584276800 2627348080 2701184560 2815015800 2836243788 3002683520 3152817696 3241421472 3284185100 3376480700 3545304735 3753354400 3781658384 3941022120 4051776840 4119306454 4203756928 4321895296 4504025280 4727072980 4926277650 5064721050 5168553600 5254696160 5402369120 5630031600 5672487576 5908841225 6178959681 6305635392 6482842944 6568370200 6752961400 7090609470 7506708800 7563316768 7882044240 8103553680 8238612908 9008050560 9454145960 9852555300 10129442100 10298266135 10509392320 10804738240 11260063200 11344975152 11817682450 12357919362 12611270784 12965685888 13136740400 13505922800 14181218940 14417572589 15013417600 15126633536 15764088480 16207107360 16477225816 17726523675 18908291920 19705110600 20258884200 20596532270 21018784640 21609476480 22520126400 22689950304 23635364900 24715838724 26273480800 27011845600 28362437880 28835145178 30253267072 30894798405 31528176960 32414214720 32954451632 35453047350 37816583840 39410221200 40517768400 41193064540 43252717767 45040252800 45379900608 47270729800 49431677448 51491330675 52546961600 54023691200 56724875760 57670290356 61789596810 63056353920 64828429440 65908903264 70906094700 72087862945 75633167680 78820442400 81035536800 82386129080 86505435534 90759801216 94541459600 98863354896 102982661350 105093923200 108047382400 113449751520 115340580712 123579193620 131817806528 141812189400 144175725890 151266335360 154473992025 157640884800 162071073600 164772258160 173010871068 189082919200 197726709792 205965322700 216263588835 226899503040 230681161424 247158387240 263635613056 283624378800 288351451780 308947984050 315281769600 324142147200 329544516320 346021742136 360439314725 378165838400 395453419584 411930645400 432527177670 453799006080 461362322848 494316774480 567248757600 576702903560 617895968100 659089032640 692043484272 720878629450 756331676800 790906839168 823861290800 865054355340 922724645696 988633548960 1081317944175 1134497515200 1153405807120 1235791936200 1318178065280 1384086968544 1441757258900 1647722581600 1730108710680 1845449291392 1977267097920 2162635888350 2268995030400 2306811614240 2471583872400 2768173937088 2883514517800 3295445163200 3460217421360 3954534195840 4325271776700 4613623228480 4943167744800 5536347874176 5767029035600 6590890326400 6920434842720 8650543553400 9227246456960 9886335489600 11534058071200 13840869685440 17301087106800 19772670979200 23068116142400 27681739370880 34602174213600 46136232284800 69204348427200 138408696854400
• Sum of all divisors σ(n): 530764193203200
• Sum of proper divisors (its aliquot sum) s(n): 392355496348800
• 138408696854400 is an abundant number, because the sum of its proper divisors (392355496348800) is greater than itself. Its abundance is 253946799494400

Bases of 138408696854400

• Binary: 11111011110000111001001001101011011011110000000₂
• Hexadecimal: 0x7DE1C935B780
• Base-36: 1D282SI0LC

Squares and roots of 138408696854400

• 138408696854400 squared (138408696854400²) is 19156967364933196454799360000
• 138408696854400 cubed (138408696854400³) is 2651490888662672765019525410215133184000000
• The square root of 138408696854400 is 11764722.5574766531
• The cube root of 138408696854400 is 51727.4567861843

Scales and comparisons

• 138,408,696,854,400 seconds is equal to 4,400,968 years, 22 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 138,408,696,854,400 would take you about eleven million, two thousand, four hundred twenty-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 138408696854400 cubic inches would be around 4310.6 feet tall.

Recreational maths with 138408696854400

• 138408696854400 backwards is 004458696804831
• The number of decimal digits it has is: 15
• The sum of 138408696854400's digits is 66
• More coming soon!