4138600189893120

Names of 4138600189893120

• Cardinal: 4138600189893120 can be written as Four quadrillion, one hundred thirty-eight trillion, six hundred billion, one hundred eighty-nine million, eight hundred ninety-three thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.13860018989312 × 10¹⁵

Factors of 4138600189893120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8553654510

Divisors of 4138600189893120

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 160 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 336 360 378 384 420 432 448 480 504 512 540 560 576 630 640 672 720 756 768 840 864 896 945 960 1008 1080 1120 1152 1260 1280 1344 1440 1512 1536 1680 1728 1792 1890 1920 2016 2160 2240 2304 2520 2560 2688 2880 3024 3360 3456 3584 3780 3840 4032 4320 4480 4608 5040 5376 5760 6048 6720 6912 7560 7680 8064 8640 8960 10080 10752 11520 12096 13440 13824 15120 16128 17280 17920 20160 23040 24192 26880 30240 32256 34560 40320 48384 53760 60480 69120 80640 96768 120960 161280 241920 483840 8553654493 17107308986 25660963479 34214617972 42768272465 51321926958 59875581451 68429235944 76982890437 85536544930 102643853916 119751162902 128304817395 136858471888 153965780874 171073089860 179626744353 205287707832 230948671311 239502325804 256609634790 273716943776 299377907255 307931561748 342146179720 359253488706 384914452185 410575415664 461897342622 479004651608 513219269580 538880233059 547433887552 598755814510 615863123496 684292359440 718506977412 769828904370 821150831328 898133721765 923794685244 958009303216 1026438539160 1077760466118 1094867775104 1154743356555 1197511629020 1231726246992 1368584718880 1437013954824 1539657808740 1616640699177 1642301662656 1796267443530 1847589370488 1916018606432 2052877078320 2155520932236 2189735550208 2309486713110 2395023258040 2463452493984 2694401165295 2737169437760 2874027909648 3079315617480 3233281398354 3284603325312 3592534887060 3695178740976 3832037212864 4105754156640 4311041864472 4379471100416 4618973426220 4790046516080 4926904987968 5388802330590 5474338875520 5748055819296 6158631234960 6466562796708 6569206650624 7185069774120 7390357481952 7664074425728 8083203495885 8211508313280 8622083728944 9237946852440 9580093032160 9853809975936 10777604661180 10948677751040 11496111638592 12317262469920 12933125593416 13138413301248 14370139548240 14780714963904 15328148851456 16166406991770 16423016626560 17244167457888 18475893704880 19160186064320 19707619951872 21555209322360 21897355502080 22992223277184 24634524939840 25866251186832 28740279096480 29561429927808 30656297702912 32332813983540 32846033253120 34488334915776 36951787409760 38320372128640 39415239903744 43110418644720 45984446554368 49269049879680 51732502373664 57480558192960 59122859855616 64665627967080 65692066506240 68976669831552 73903574819520 76640744257280 86220837289440 91968893108736 98538099759360 103465004747328 114961116385920 118245719711232 129331255934160 137953339663104 147807149639040 153281488514560 172441674578880 197076199518720 206930009494656 229922232771840 258662511868320 275906679326208 295614299278080 344883349157760 413860018989312 459844465543680 517325023736640 591228598556160 689766698315520 827720037978624 1034650047473280 1379533396631040 2069300094946560 4138600189893120
• Sum of all divisors σ(n): 16800746010935040
• Sum of proper divisors (its aliquot sum) s(n): 12662145821041920
• 4138600189893120 is an abundant number, because the sum of its proper divisors (12662145821041920) is greater than itself. Its abundance is 8523545631148800

Bases of 4138600189893120

• Binary: 1110101101000000100011110010001011111001101000000000₂
• Hexadecimal: 0xEB408F22F9A00
• Base-36: 14R0EOHKLC0

Squares and roots of 4138600189893120

• 4138600189893120 squared (4138600189893120²) is 17128011531783368923397023334400
• 4138600189893120 cubed (4138600189893120³) is 70885991777930199792694009746649599682019328000
• The square root of 4138600189893120 is 64331953.1018071921
• The cube root of 4138600189893120 is 160552.7780012419

Scales and comparisons

• 4,138,600,189,893,120 seconds is equal to 131,594,684 years, 26 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 4,138,600,189,893,120 would take you about three hundred ninety-four million, seven hundred eighty-four thousand and fifty-three 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 4138600189893120 cubic inches would be around 13379.4 feet tall.

Recreational maths with 4138600189893120

• 4138600189893120 backwards is 0213989810068314
• 4138600189893120 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4138600189893120's digits is 63
• More coming soon!