138536859238400

Names of 138536859238400

• Cardinal: 138536859238400 can be written as One hundred thirty-eight trillion, five hundred thirty-six billion, eight hundred fifty-nine million, two hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.385368592384 × 10¹⁴

Factors of 138536859238400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 93

Divisors of 138536859238400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 79 80 98 100 112 128 140 158 160 175 196 200 224 245 256 280 316 320 343 350 392 395 400 448 490 512 553 560 632 640 686 700 784 790 800 896 980 1024 1106 1120 1225 1264 1280 1372 1400 1568 1580 1600 1715 1792 1960 1975 2048 2212 2240 2450 2528 2560 2744 2765 2800 3136 3160 3200 3430 3584 3871 3920 3950 4096 4424 4480 4900 5056 5120 5488 5530 5600 6241 6272 6320 6400 6860 7168 7742 7840 7900 8192 8575 8848 8960 9800 10112 10240 10976 11060 11200 12482 12544 12640 12800 13720 13825 14336 15484 15680 15800 16384 17150 17696 17920 19355 19600 20224 20480 21952 22120 22400 24964 25088 25280 25600 27097 27440 27650 28672 30968 31205 31360 31600 32768 34300 35392 35840 38710 39200 40448 40960 43687 43904 44240 44800 49928 50176 50560 51200 54194 54880 55300 57344 61936 62410 62720 63200 68600 70784 71680 77420 78400 80896 81920 87374 87808 88480 89600 96775 99856 100352 101120 102400 108388 109760 110600 114688 123872 124820 125440 126400 135485 137200 141568 143360 154840 156025 156800 161792 163840 174748 175616 176960 179200 193550 199712 200704 202240 204800 216776 218435 219520 221200 229376 247744 249640 250880 252800 270970 274400 283136 286720 305809 309680 312050 313600 323584 349496 351232 353920 358400 387100 399424 401408 404480 409600 433552 436870 439040 442400 493039 495488 499280 501760 505600 541940 548800 566272 573440 611618 619360 624100 627200 647168 677425 698992 702464 707840 716800 774200 798848 802816 808960 819200 867104 873740 878080 884800 986078 990976 998560 1003520 1011200 1083880 1092175 1097600 1132544 1146880 1223236 1238720 1248200 1254400 1294336 1354850 1397984 1404928 1415680 1433600 1529045 1548400 1597696 1605632 1617920 1734208 1747480 1756160 1769600 1972156 1981952 1997120 2007040 2022400 2140663 2167760 2184350 2195200 2265088 2446472 2465195 2477440 2496400 2508800 2588672 2709700 2795968 2809856 2831360 2867200 3058090 3096800 3195392 3235840 3451273 3468416 3494960 3512320 3539200 3944312 3963904 3994240 4014080 4044800 4281326 4335520 4368700 4390400 4530176 4892944 4930390 4954880 4992800 5017600 5419400 5591936 5619712 5662720 5734400 6116180 6193600 6390784 6471680 6902546 6936832 6989920 7024640 7078400 7645225 7888624 7927808 7988480 8028160 8089600 8562652 8671040 8737400 8780800 9060352 9785888 9860780 9909760 9985600 10035200 10703315 10838800 11183872 11239424 11325440 12232360 12325975 12387200 12781568 12943360 13805092 13873664 13979840 14049280 14156800 15290450 15777248 15855616 15976960 16179200 17125304 17256365 17342080 17474800 17561600 18120704 19571776 19721560 19819520 19971200 20070400 21406630 21677600 22367744 22650880 24158911 24464720 24651950 24774400 25563136 27610184 27747328 27959680 28098560 28313600 30580900 31554496 31711232 31953920 32358400 34250608 34512730 34684160 34949600 35123200 39143552 39443120 39639040 39942400 40140800 42813260 43355200 44735488 45301760 48317822 48929440 49303900 49548800 51126272 53516575 55220368 55494656 55919360 56197120 56627200 61161800 63108992 63422464 63907840 64716800 68501216 69025460 69368320 69899200 70246400 78287104 78886240 79278080 79884800 85626520 86281825 86710400 89470976 90603520 96635644 97858880 98607800 99097600 102252544 107033150 110440736 110989312 111838720 113254400 120794555 122323600 126217984 126844928 127815680 137002432 138050920 138736640 139798400 140492800 156574208 157772480 158556160 159769600 169112377 171253040 172563650 173420800 178941952 193271288 195717760 197215600 198195200 204505088 214066300 220881472 221978624 223677440 226508800 241589110 244647200 252435968 255631360 274004864 276101840 277473280 279596800 280985600 313148416 315544960 317112320 319539200 338224754 342506080 345127300 346841600 357883904 386542576 391435520 394431200 396390400 428132600 441762944 443957248 447354880 453017600 483178220 489294400 504871936 511262720 548009728 552203680 554946560 559193600 603972775 626296832 631089920 634224640 639078400 676449508 685012160 690254600 693683200 715767808 773085152 782871040 788862400 792780800 845561885 856265200 883525888 887914496 894709760 966356440 978588800 1009743872 1022525440 1096019456 1104407360 1109893120 1118387200 1207945550 1252593664 1262179840 1278156800 1352899016 1370024320 1380509200 1387366400 1431535616 1546170304 1565742080 1577724800 1585561600 1691123770 1712530400 1767051776 1789419520 1932712880 1957177600 2019487744 2192038912 2208814720 2219786240 2236774400 2415891100 2505187328 2524359680 2556313600 2705798032 2740048640 2761018400 2774732800 3092340608 3131484160 3155449600 3171123200 3382247540 3425060800 3534103552 3578839040 3865425760 3914355200 4038975488 4227809425 4384077824 4417629440 4439572480 4473548800 4831782200 5010374656 5048719360 5112627200 5411596064 5480097280 5522036800 5549465600 6184681216 6262968320 6310899200 6764495080 6850121600 7068207104 7157678080 7730851520 7828710400 8077950976 8455618850 8768155648 8835258880 8947097600 9663564400 10020749312 10097438720 10823192128 10960194560 11044073600 11098931200 12369362432 12525936640 12621798400 13528990160 13700243200 14136414208 15461703040 15657420800 16155901952 16911237700 17536311296 17670517760 17894195200 19327128800 20194877440 21646384256 21920389120 22088147200 22197862400 24738724864 25051873280 25243596800 27057980320 27400486400 28272828416 30923406080 31314841600 33822475400 35072622592 35341035520 35788390400 38654257600 40389754880 43292768512 43840778240 44176294400 49477449728 50103746560 50487193600 54115960640 54800972800 56545656832 61846812160 62629683200 67644950800 70145245184 70682071040 77308515200 80779509760 86585537024 87681556480 88352588800 98954899456 100974387200 108231921280 109601945600 113091313664 123693624320 125259366400 135289901600 141364142080 154617030400 173171074048 175363112960 176705177600 197909798912 201948774400 216463842560 219203891200 247387248640 250518732800 270579803200 282728284160 309234060800 346342148096 350726225920 353410355200 395819597824 403897548800 432927685120 438407782400 494774497280 541159606400 565456568320 618468121600 692684296192 706820710400 791639195648 865855370240 876815564800 989548994560 1082319212800 1236936243200 1385368592384 1413641420800 1731710740480 1753631129600 1979097989120 2164638425600 2473872486400 2770737184768 2827282841600 3463421480960 3958195978240 4329276851200 4947744972800 5541474369536 6926842961920 8658553702400 9895489945600 13853685923840 17317107404800 19790979891200 27707371847680 34634214809600 69268429619200 138536859238400
• Sum of all divisors σ(n): 405796914240000
• Sum of proper divisors (its aliquot sum) s(n): 267260055001600
• 138536859238400 is an abundant number, because the sum of its proper divisors (267260055001600) is greater than itself. Its abundance is 128723195763200

Bases of 138536859238400

• Binary: 11111011111111110100000010010001000000000000000₂
• Hexadecimal: 0x7DFFA0488000
• Base-36: 1D3UYD2OZK

Squares and roots of 138536859238400

• 138536859238400 squared (138536859238400²) is 19192461367640255428034560000
• 138536859238400 cubed (138536859238400³) is 2658863318927208019003045379890479104000000
• The square root of 138536859238400 is 11770168.1907439199
• The cube root of 138536859238400 is 51743.4178954149

Scales and comparisons

• 138,536,859,238,400 seconds is equal to 4,405,043 years, 31 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 138,536,859,238,400 would take you about eleven million, twelve thousand, six hundred nine 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 138536859238400 cubic inches would be around 4312 feet tall.

Recreational maths with 138536859238400

• 138536859238400 backwards is 004832958635831
• The number of decimal digits it has is: 15
• The sum of 138536859238400's digits is 65
• More coming soon!