138156729071040

Names of 138156729071040

• Cardinal: 138156729071040 can be written as One hundred thirty-eight trillion, one hundred fifty-six billion, seven hundred twenty-nine million, seventy-one thousand and forty.

Scientific notation

• Scientific notation: 1.3815672907104 × 10¹⁴

Factors of 138156729071040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4489

Divisors of 138156729071040

• Number of divisors d(n): 672
• 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 73 80 90 96 108 120 135 144 146 160 180 192 216 219 229 240 270 288 292 320 360 365 432 438 458 480 540 576 584 657 687 720 730 864 876 916 960 1080 1095 1145 1168 1314 1374 1440 1460 1728 1752 1832 1971 2061 2160 2190 2290 2336 2628 2748 2880 2920 3285 3435 3504 3664 3942 4122 4177 4320 4380 4580 4672 5256 5496 5840 6183 6570 6870 7008 7328 7884 8244 8354 8640 8760 9160 9855 10305 10512 10992 11680 12366 12531 13140 13740 14016 14656 15768 16488 16708 16717 17520 18320 19710 20610 20885 21024 21984 23360 24732 25062 26280 27480 30915 31536 32976 33416 33434 35040 36640 37593 39420 41220 41770 42048 43968 49464 50124 50151 52441 52560 54960 61830 62655 63072 65952 66832 66868 70080 73280 75186 78840 82440 83540 83585 98928 100248 100302 104882 105120 109920 112779 123660 125310 126144 131904 133664 133736 150372 150453 157323 157680 164880 167080 167170 187965 197856 200496 200604 209764 210240 219840 225558 247320 250620 250755 262205 267328 267472 300744 300906 304921 314646 315360 329760 334160 334340 375930 395712 400992 401208 419528 451116 451359 471969 494640 501240 501510 524410 534944 563895 601488 601812 609842 629292 630720 659520 668320 668680 751860 752265 786615 801984 802416 839056 902232 902718 914763 943938 956533 989280 1002480 1003020 1048820 1069888 1127790 1202976 1203624 1219684 1258584 1336640 1337360 1415907 1503720 1504530 1524605 1573230 1604832 1678112 1804464 1805436 1829526 1887876 1913066 1978560 2004960 2006040 2097640 2255580 2256795 2359845 2405952 2407248 2439368 2517168 2674720 2744289 2831814 2869599 3007440 3009060 3049210 3146460 3209664 3356224 3608928 3610872 3659052 3775752 3826132 3828193 4009920 4012080 4195280 4511160 4513590 4573815 4719690 4782665 4814496 4878736 5034336 5349440 5488578 5663628 5739198 6014880 6018120 6098420 6292920 7079535 7217856 7221744 7318104 7551504 7652264 7656386 8024160 8232867 8390560 8608797 9022320 9027180 9147630 9439380 9565330 9628992 9757472 10068672 10977156 11327256 11478396 11484579 12029760 12036240 12196840 12585840 13721445 14159070 14347995 14443488 14636208 15103008 15304528 15312772 16048320 16465734 16781120 17217594 18044640 18054360 18295260 18878760 19130660 19140965 19514944 21954312 22654512 22956792 22969158 24072480 24393680 25171680 25826391 27442890 28318140 28695990 28886976 29272416 30206016 30609056 30625544 32931468 34435188 34453737 36089280 36108720 36590520 37757520 38261320 38281930 41164335 43043985 43908624 45309024 45913584 45938316 48144960 48787360 50343360 51652782 54885780 56636280 57391980 57422895 58544832 61218112 61251088 65862936 68870376 68907474 69826909 72217440 73181040 75515040 76522640 76563860 82328670 86087970 87817248 90618048 91827168 91876632 97574720 103305564 103361211 109771560 113272560 114783960 114845790 122502176 129131955 131725872 137740752 137814948 139653818 144434880 146362080 151030080 153045280 153127720 164657340 172175940 172268685 175634496 183654336 183753264 206611128 206722422 209480727 219046057 219543120 226545120 229567920 229691580 245004352 258263910 263451744 275481504 275629896 279307636 292724160 306090560 306255440 329314680 344351880 344537370 349134545 367506528 413222256 413444844 418961454 438092114 439086240 453090240 459135840 459383160 516527820 516806055 526903488 550963008 551259792 558615272 612510880 628442181 657138171 658629360 688703760 689074740 698269090 735013056 826444512 826889688 837922908 876184228 878172480 918271680 918766320 1033055640 1033612110 1047403635 1095230285 1102519584 1117230544 1225021760 1256884362 1314276342 1317258720 1377407520 1378149480 1396538180 1652889024 1653779376 1675845816 1752368456 1837532640 1885326543 1971414513 2066111280 2067224220 2094807270 2190460570 2205039168 2234461088 2513768724 2628552684 2634517440 2754815040 2756298960 2793076360 3142210905 3285690855 3307558752 3351691632 3504736912 3675065280 3770653086 3942829026 4132222560 4134448440 4189614540 4380921140 4468922176 5027537448 5257105368 5512597920 5586152720 5914243539 6284421810 6571381710 6615117504 6703383264 7009473824 7541306172 7885658052 8264445120 8268896880 8379229080 8761842280 9426632715 9857072565 10055074896 10514210736 11025195840 11172305440 11828487078 12568843620 13142763420 13406766528 14018947648 15082612344 15771316104 15990362161 16537793760 16758458160 17523684560 18853265430 19714145130 20110149792 21028421472 22344610880 23656974156 25137687240 26285526840 29571217695 30165224688 31542632208 31980724322 33075587520 33516916320 35047369120 37706530860 39428290260 40220299584 42056842944 47313948312 47971086483 50275374480 52571053680 59142435390 60330449376 63085264416 63961448644 67033832640 70094738240 75413061720 78856580520 79951810805 94627896624 95942172966 100550748960 105142107360 118284870780 120660898752 126170528832 127922897288 143913259449 150826123440 157713161040 159903621610 189255793248 191884345932 201101497920 210284214720 236569741560 239855432415 255845794576 287826518898 301652246880 315426322080 319807243220 378511586496 383768691864 431739778347 473139483120 479710864830 511691589152 575653037796 603304493760 630852644160 639614486440 719566297245 767537383728 863479556694 946278966240 959421729660 1023383178304 1151306075592 1279228972880 1439132594490 1535074767456 1726959113388 1892557932480 1918843459320 2158698891735 2302612151184 2558457945760 2878265188980 3070149534912 3453918226776 3837686918640 4317397783470 4605224302368 5116915891520 5756530377960 6907836453552 7675373837280 8634795566940 9210448604736 11513060755920 13815672907104 15350747674560 17269591133880 23026121511840 27631345814208 34539182267760 46052243023680 69078364535520 138156729071040
• Sum of all divisors σ(n): 496348463597760
• Sum of proper divisors (its aliquot sum) s(n): 358191734526720
• 138156729071040 is an abundant number, because the sum of its proper divisors (358191734526720) is greater than itself. Its abundance is 220035005455680

Bases of 138156729071040

• Binary: 11111011010011100011110110000100111010111000000₂
• Hexadecimal: 0x7DA71EC275C0
• Base-36: 1CZ0BPDYO0

Squares and roots of 138156729071040

• 138156729071040 squared (138156729071040²) is 19087281787608749061366681600
• 138156729071040 cubed (138156729071040³) is 2637036418633258000291966532759975460864000
• The square root of 138156729071040 is 11754009.0637637335
• The cube root of 138156729071040 is 51696.0484281343

Scales and comparisons

• 138,156,729,071,040 seconds is equal to 4,392,956 years, 33 weeks, 1 day, 2 hours, 24 minutes.
• To count from 1 to 138,156,729,071,040 would take you about ten million, nine hundred eighty-two thousand, three hundred ninety-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 138156729071040 cubic inches would be around 4308 feet tall.

Recreational maths with 138156729071040

• 138156729071040 backwards is 040170927651831
• 138156729071040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138156729071040's digits is 54
• More coming soon!