138114766967040

Names of 138114766967040

• Cardinal: 138114766967040 can be written as One hundred thirty-eight trillion, one hundred fourteen billion, seven hundred sixty-six million, nine hundred sixty-seven thousand and forty.

Scientific notation

• Scientific notation: 1.3811476696704 × 10¹⁴

Factors of 138114766967040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3637

Divisors of 138114766967040

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 256 270 288 320 324 360 384 405 432 480 540 576 640 648 677 720 768 810 864 960 1019 1080 1152 1280 1296 1354 1440 1620 1728 1920 1931 2031 2038 2160 2304 2592 2708 2880 3057 3240 3385 3456 3840 3862 4062 4076 4320 5095 5184 5416 5760 5793 6093 6114 6480 6770 6912 7724 8124 8152 8640 9171 9655 10155 10190 10368 10832 11520 11586 12186 12228 12960 13540 15285 15448 16248 16304 17280 17379 18279 18342 19310 20310 20380 20736 21664 23172 24372 24456 25920 27080 27513 28965 30465 30570 30896 32496 32608 34560 34758 36558 36684 38620 40620 40760 43328 45855 46344 48744 48912 51840 52137 54160 54837 55026 57930 60930 61140 61792 64992 65216 69516 73116 73368 77240 81240 81520 82539 86656 86895 91395 91710 92688 97488 97824 103680 104274 108320 109674 110052 115860 121860 122280 123584 129984 130432 137565 139032 146232 146736 154480 156411 162480 163040 165078 173312 173790 182790 183420 185376 194976 195648 208548 216640 219348 220104 231720 243720 244560 247168 259968 260685 260864 274185 275130 278064 292464 293472 308960 312822 324960 326080 330156 347580 365580 366840 370752 389952 391296 412695 417096 433280 438696 440208 463440 487440 489120 494336 519936 521370 548370 550260 556128 584928 586944 617920 625644 649920 652160 660312 689863 695160 731160 733680 741504 779904 782055 782592 825390 834192 866560 877392 880416 926880 974880 978240 1042740 1096740 1100520 1112256 1169856 1173888 1235840 1251288 1299840 1304320 1307287 1320624 1379726 1390320 1462320 1467360 1483008 1559808 1564110 1650780 1668384 1754784 1760832 1853760 1949760 1956480 1967689 2069589 2085480 2193480 2201040 2224512 2339712 2347776 2471680 2502576 2599680 2614574 2641248 2759452 2780640 2924640 2934720 3128220 3301560 3336768 3449315 3509568 3521664 3707520 3899520 3912960 3921861 3935378 4139178 4170960 4386960 4402080 4449024 4679424 5005152 5229148 5282496 5518904 5561280 5849280 5869440 5903067 6208767 6256440 6536435 6603120 6673536 6898630 7019136 7043328 7415040 7799040 7843722 7870756 8278356 8341920 8773920 8804160 9838445 10010304 10347945 10458296 10564992 11037808 11122560 11698560 11738880 11765583 11806134 12417534 12512880 13072870 13206240 13347072 13797260 14038272 15687444 15741512 16556712 16683840 17547840 17608320 17709201 18626301 19609305 19676890 20020608 20695890 20916592 21129984 22075616 22245120 23397120 23531166 23612268 24835068 25025760 26145740 26412480 27594520 29515335 31043835 31374888 31483024 33113424 33367680 35095680 35216640 35296749 35418402 37252602 39218610 39353780 40041216 41391780 41833184 44151232 47062332 47224536 49670136 50051520 52291480 52824960 53127603 55189040 55878903 58827915 59030670 62087670 62749776 62966048 66226848 66735360 70191360 70593498 70836804 74505204 78437220 78707560 82783560 83666368 88302464 88546005 93131505 94124664 94449072 99340272 100103040 104582960 105649920 105890247 106255206 110378080 111757806 117655830 118061340 124175340 125499552 125932096 132453696 141186996 141673608 149010408 156874440 157415120 159382809 165567120 167332736 176483745 176604928 177092010 186263010 188249328 188898144 198680544 200206080 209165920 211780494 212510412 220756160 223515612 235311660 236122680 248350680 250999104 251864192 264907392 265638015 279394515 282373992 283347216 298020816 313748880 314830240 318765618 331134240 334665472 352967490 354184020 372526020 376498656 377796288 397361088 418331840 423560988 425020824 441512320 447031224 470623320 472245360 496701360 501998208 503728384 529451235 529814784 531276030 558789030 564747984 566694432 596041632 627497760 629660480 637531236 662268480 705934980 708368040 745052040 752997312 755592576 794722176 796914045 836663680 847121976 850041648 883024640 894062448 941246640 944490720 993402720 1003996416 1058902470 1062552060 1117578060 1129495968 1133388864 1192083264 1254995520 1259320960 1275062472 1324536960 1332125453 1411869960 1416736080 1490104080 1505994624 1511185152 1589444352 1593828090 1673327360 1694243952 1700083296 1788124896 1882493280 1888981440 1986805440 2117804940 2125104120 2235156120 2258991936 2266777728 2384166528 2509991040 2518641920 2550124944 2649073920 2664250906 2823739920 2833472160 2980208160 3011989248 3187656180 3388487904 3400166592 3576249792 3764986560 3777962880 3973610880 3996376359 4235609880 4250208240 4470312240 4517983872 4533555456 4768333056 5019982080 5100249888 5328501812 5647479840 5666944320 5960416320 6375312360 6660627265 6776975808 6800333184 7152499584 7529973120 7555925760 7947221760 7992752718 8471219760 8500416480 8940624480 9035967744 10200499776 10657003624 11294959680 11333888640 11920832640 11989129077 12750624720 13321254530 13553951616 13600666368 14304999168 15059946240 15985505436 16942439520 17000832960 17881248960 19981881795 20400999552 21314007248 22589919360 22667777280 23841665280 23978258154 25501249440 26642509060 27107903232 31971010872 33884879040 34001665920 35762497920 35967387231 39963763590 40801999104 42628014496 45179838720 47956516308 51002498880 53285018120 59945645385 63942021744 67769758080 68003331840 71524995840 71934774462 79927527180 85256028992 95913032616 102004997760 106570036240 107902161693 119891290770 127884043488 135539516160 143869548924 159855054360 170512057984 179836936155 191826065232 204009995520 213140072480 215804323386 239782581540 255768086976 287739097848 319710108720 341024115968 359673872310 383652130464 426280144960 431608646772 479565163080 511536173952 539510808465 575478195696 639420217440 719347744620 767304260928 852560289920 863217293544 959130326160 1023072347904 1079021616930 1150956391392 1278840434880 1438695489240 1534608521856 1705120579840 1726434587088 1918260652320 2158043233860 2301912782784 2557680869760 2877390978480 3069217043712 3452869174176 3836521304640 4316086467720 4603825565568 5115361739520 5754781956960 6905738348352 7673042609280 8632172935440 9207651131136 11509563913920 13811476696704 15346085218560 17264345870880 23019127827840 27622953393408 34528691741760 46038255655680 69057383483520 138114766967040
• Sum of all divisors σ(n): 495672139005120
• Sum of proper divisors (its aliquot sum) s(n): 357557372038080
• 138114766967040 is an abundant number, because the sum of its proper divisors (357557372038080) is greater than itself. Its abundance is 219442605071040

Bases of 138114766967040

• Binary: 11111011001110101011001100111111001000100000000₂
• Hexadecimal: 0x7D9D599F9100
• Base-36: 1CYH1Q8G00

Squares and roots of 138114766967040

• 138114766967040 squared (138114766967040²) is 19075688854359763560446361600
• 138114766967040 cubed (138114766967040³) is 2634634320855660973686441841429435121664000
• The square root of 138114766967040 is 11752223.9157973841
• The cube root of 138114766967040 is 51690.8140477423

Scales and comparisons

• 138,114,766,967,040 seconds is equal to 4,391,622 years, 19 weeks, 2 days, 14 hours, 24 minutes.
• To count from 1 to 138,114,766,967,040 would take you about ten million, nine hundred seventy-nine thousand and fifty-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 138114766967040 cubic inches would be around 4307.6 feet tall.

Recreational maths with 138114766967040

• 138114766967040 backwards is 040769667411831
• The number of decimal digits it has is: 15
• The sum of 138114766967040's digits is 63
• More coming soon!