138144211991040

Names of 138144211991040

• Cardinal: 138144211991040 can be written as One hundred thirty-eight trillion, one hundred forty-four billion, two hundred eleven million, nine hundred ninety-one thousand and forty.

Scientific notation

• Scientific notation: 1.3814421199104 × 10¹⁴

Factors of 138144211991040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1046

Divisors of 138144211991040

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1019 1020 1088 1280 1360 1536 1632 1920 2038 2040 2176 2560 2720 3057 3264 3840 4076 4080 4352 5095 5440 6114 6528 7680 8152 8160 8704 10190 10880 12228 13056 15285 16304 16320 17323 20380 21760 24456 26112 30570 32608 32640 34646 40760 43520 48912 51969 61140 65216 65280 69292 81520 86615 97824 103938 122280 130432 130560 138584 163040 173230 195648 207876 244560 259845 260864 277168 326080 346460 391296 415752 489120 519690 521728 554336 652160 692920 782592 831504 978240 1038361 1039380 1108672 1304320 1385840 1565184 1663008 1956480 2076722 2078760 2217344 2608640 2771680 3115083 3326016 3912960 4153444 4157520 4434688 5191805 5543360 6230166 6652032 7825920 8306888 8315040 8869376 10383610 11086720 12460332 13304064 15575415 16613776 16630080 17652137 20767220 22173440 24920664 26608128 31150830 33227552 33260160 35304274 41534440 44346880 49841328 52956411 62301660 66455104 66520320 70608548 83068880 88260685 99682656 105912822 124603320 132910208 133040640 141217096 166137760 176521370 199365312 211825644 249206640 264782055 265820416 282434192 332275520 353042740 398730624 423651288 498413280 529564110 531640832 564868384 664551040 706085480 797461248 847302576 996826560 1058089859 1059128220 1129736768 1329102080 1412170960 1594922496 1694605152 1993653120 2116179718 2118256440 2259473536 2658204160 2824341920 3174269577 3389210304 3987306240 4232359436 4236512880 4518947072 5290449295 5648683840 6348539154 6778420608 7974612480 8464718872 8473025760 9037894144 10580898590 11297367680 12697078308 13556841216 15871347885 16929437744 16946051520 17987527603 21161797180 22594735360 25394156616 27113682432 31742695770 33858875488 33892103040 35975055206 42323594360 45189470720 50788313232 53962582809 63485391540 67717750976 67784206080 71950110412 84647188720 89937638015 101576626464 107925165618 126970783080 135435501952 135568412160 143900220824 169294377440 179875276030 203153252928 215850331236 253941566160 269812914045 270871003904 287800441648 338588754880 359750552060 406306505856 431700662472 507883132320 539625828090 541742007808 575600883296 677177509760 719501104120 812613011712 863401324944 1015766264640 1079251656180 1151201766592 1354355019520 1439002208240 1625226023424 1726802649888 2031532529280 2158503312360 2302403533184 2708710039040 2878004416480 3453605299776 4063065058560 4317006624720 4604807066368 5756008832960 6907210599552 8126130117120 8634013249440 9209614132736 11512017665920 13814421199104 17268026498880 23024035331840 27628842398208 34536052997760 46048070663680 69072105995520 138144211991040
• Sum of all divisors σ(n): 468067339808640
• Sum of proper divisors (its aliquot sum) s(n): 329923127817600
• 138144211991040 is an abundant number, because the sum of its proper divisors (329923127817600) is greater than itself. Its abundance is 191778915826560

Bases of 138144211991040

• Binary: 11111011010010000110100101011101111101000000000₂
• Hexadecimal: 0x7DA434AEFA00
• Base-36: 1CYUKP1HXC

Squares and roots of 138144211991040

• 138144211991040 squared (138144211991040²) is 19083823306625399721040281600
• 138144211991040 cubed (138144211991040³) is 2636319732470009166820765940389578276864000
• The square root of 138144211991040 is 11753476.5916744821
• The cube root of 138144211991040 is 51694.4871502985

Scales and comparisons

• 138,144,211,991,040 seconds is equal to 4,392,558 years, 32 weeks, 6 days, 11 hours, 44 minutes.
• To count from 1 to 138,144,211,991,040 would take you about ten million, nine hundred eighty-one thousand, three hundred ninety-six 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 138144211991040 cubic inches would be around 4307.9 feet tall.

Recreational maths with 138144211991040

• 138144211991040 backwards is 040199112441831
• 138144211991040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138144211991040's digits is 48
• More coming soon!