131538993370400

Names of 131538993370400

• Cardinal: 131538993370400 can be written as One hundred thirty-one trillion, five hundred thirty-eight billion, nine hundred ninety-three million, three hundred seventy thousand, four hundred.

Scientific notation

• Scientific notation: 1.315389933704 × 10¹⁴

Factors of 131538993370400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 8635

Divisors of 131538993370400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 50 55 56 58 70 77 80 88 100 110 112 116 140 145 154 160 175 176 200 203 220 224 232 275 280 290 308 319 350 352 385 400 406 440 464 550 560 580 616 638 700 725 770 800 812 880 928 1015 1100 1120 1160 1232 1276 1400 1450 1540 1595 1624 1760 1925 2030 2200 2233 2320 2464 2552 2800 2900 3080 3190 3248 3850 4060 4400 4466 4640 5075 5104 5600 5800 6160 6380 6496 7700 7975 8120 8581 8800 8932 10150 10208 11165 11600 12320 12760 15400 15950 16240 17162 17864 20300 22330 23200 25520 30800 31900 32480 34324 35728 40600 42905 44660 51040 55825 60067 61600 63800 68648 71456 81200 85810 89320 94391 111650 120134 127600 137296 162400 171620 178640 188782 214525 223300 240268 248849 255200 274592 300335 343240 357280 377564 429050 446600 471955 480536 497698 600670 660737 686480 755128 858100 893200 943910 961072 995396 1201340 1244245 1321474 1372960 1501675 1510256 1716200 1741943 1786400 1887820 1922144 1990792 2359775 2402680 2488490 2642948 2737339 3003350 3020512 3303685 3432400 3483886 3775640 3981584 4719550 4805360 4976980 5285896 5474678 6006700 6221225 6607370 6864800 6967772 7551280 7963168 8709715 9439100 9610720 9953960 10571792 10949356 12013400 12442450 13214740 13686695 13935544 15102560 16518425 17419430 18878200 19161373 19907920 21143584 21898712 24026800 24884900 26429480 27373390 27871088 33036850 34838860 37756400 38322746 39815840 43548575 43797424 48053600 49769800 52858960 54746780 55742176 66073700 68433475 69677720 73633561 75512800 76645492 87097150 87594848 95806865 99539600 105717920 109493560 132147400 136866950 139355440 147267122 153290984 174194300 191613730 199079200 218987120 264294800 273733900 278710880 294534244 306581968 348388600 368167805 383227460 437974240 479034325 515434927 528589600 547467800 589068488 613163936 696777200 736335610 766454920 809969171 958068650 1030869854 1094935600 1178136976 1393554400 1472671220 1532909840 1619938342 1840839025 1916137300 2061739708 2135373269 2189871200 2356273952 2577174635 2945342440 3065819680 3239876684 3681678050 3832274600 4049845855 4123479416 4270746538 5154349270 5669784197 5890684880 6479753368 7363356100 7664549200 8099691710 8246958832 8541493076 10308698540 10676866345 11339568394 11781369760 12885873175 12959506736 14726712200 14947612883 15329098400 16199383420 16493917664 17082986152 20249229275 20617397080 21353732690 22679136788 23489105959 25771746350 25919013472 28348920985 29453424400 29895225766 32398766840 34165972304 40498458550 41234794160 42707465380 45358273576 46978211918 51543492700 53384331725 56697841970 58906848800 59790451532 64797533680 68331944608 74738064415 80996917100 82469588320 85414930760 90716547152 93956423836 103086985400 106768663450 113395683940 117445529795 119580903064 129595067360 141744604925 149476128830 161993834200 164423741713 170829861520 181433094304 187912847672 206173970800 213537326900 226791367880 234891059590 239161806128 283489209850 298952257660 323987668400 328847483426 341659723040 373690322075 375825695344 412347941600 427074653800 453582735760 469782119180 478323612256 566978419700 587227648975 597904515320 647975336800 657694966852 747380644150 751651390688 822118708565 854149307600 907165471520 939564238360 1133956839400 1174455297950 1195809030640 1315389933704 1494761288300 1644237417130 1708298615200 1879128476720 2267913678800 2348910595900 2391618061280 2630779867408 2989522576600 3288474834260 3758256953440 4110593542825 4535827357600 4697821191800 5261559734816 5979045153200 6576949668520 8221187085650 9395642383600 11958090306400 13153899337040 16442374171300 18791284767200 26307798674080 32884748342600 65769496685200 131538993370400
• Sum of all divisors σ(n): 414210543203520
• Sum of proper divisors (its aliquot sum) s(n): 282671549833120
• 131538993370400 is an abundant number, because the sum of its proper divisors (282671549833120) is greater than itself. Its abundance is 151132556462720

Bases of 131538993370400

• Binary: 11101111010001001001110111110010101010100100000₂
• Hexadecimal: 0x77A24EF95520
• Base-36: 1AMK6GEZVK

Squares and roots of 131538993370400

• 131538993370400 squared (131538993370400²) is 17302506776898135151596160000
• 131538993370400 cubed (131538993370400³) is 2275954324217704871581930489218097664000000
• The square root of 131538993370400 is 11469045.0069044545
• The cube root of 131538993370400 is 50857.0897756339

Scales and comparisons

• 131,538,993,370,400 seconds is equal to 4,182,533 years, 5 weeks, 5 days, 21 hours, 33 minutes, 20 seconds.
• To count from 1 to 131,538,993,370,400 would take you about ten million, four hundred fifty-six thousand, three hundred thirty-two 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 131538993370400 cubic inches would be around 4238.1 feet tall.

Recreational maths with 131538993370400

• 131538993370400 backwards is 004073399835131
• 131538993370400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131538993370400's digits is 56
• More coming soon!