381448392325751100
381,448,392,325,751,100 is an even composite number composed of seven prime numbers multiplied together.
381448392325751100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 381448392325751100:
22 × 3 × 52 × 7 × 149 × 229 × 5323469171
(2 × 2 × 3 × 5 × 5 × 7 × 149 × 229 × 5323469171)See below for interesting mathematical facts about the number 381448392325751100 from the Numbermatics database.
Names of 381448392325751100
- Cardinal: 381448392325751100 can be written as Three hundred eighty-one quadrillion, four hundred forty-eight trillion, three hundred ninety-two billion, three hundred twenty-five million, seven hundred fifty-one thousand, one hundred.
Scientific notation
- Scientific notation: 3.814483923257511 × 1017
Factors of 381448392325751100
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 5323469566
Divisors of 381448392325751100
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 149 150 175 210 229 298 300 350 420 447 458 525 596 687 700 745 894 916 1043 1050 1145 1374 1490 1603 1788 2086 2100 2235 2290 2748 2980 3129 3206 3435 3725 4172 4470 4580 4809 5215 5725 6258 6412 6870 7450 8015 8940 9618 10430 11175 11450 12516 13740 14900 15645 16030 17175 19236 20860 22350 22900 24045 26075 31290 32060 34121 34350 40075 44700 48090 52150 62580 68242 68700 78225 80150 96180 102363 104300 120225 136484 156450 160300 170605 204726 238847 240450 312900 341210 409452 477694 480900 511815 682420 716541 853025 955388 1023630 1194235 1433082 1706050 2047260 2388470 2559075 2866164 3412100 3582705 4776940 5118150 5971175 7165410 10236300 11942350 14330820 17913525 23884700 35827050 71654100 5323469171 10646938342 15970407513 21293876684 26617345855 31940815026 37264284197 53234691710 63881630052 74528568394 79852037565 106469383420 111792852591 133086729275 149057136788 159704075130 186321420985 223585705182 266173458550 319408150260 372642841970 399260187825 447171410364 532346917100 558964262955 745285683940 793196906479 798520375650 931607104925 1117928525910 1219074440159 1586393812958 1597040751300 1863214209850 2235857051820 2379590719437 2438148880318 2794821314775 3172787625916 3657223320477 3726428419700 3965984532395 4759181438874 4876297760636 5552378345353 5589642629550 6095372200795 7314446640954 7931969064790 8533521081113 9518362877748 11104756690706 11179285259100 11897953597185 12190744401590 14628893281908 15863938129580 16657135036059 17067042162226 18286116602385 19829922661975 22209513381412 23795907194370 24381488803180 25600563243339 27761891726765 30476861003975 33314270072118 34134084324452 36572233204770 39659845323950 42667605405565 47591814388740 51201126486678 55523783453530 59489767985925 60953722007950 66628540144236 73144466409540 79319690647900 83285675180295 85335210811130 91430583011925 102402252973356 111047566907060 118979535971850 121907444015900 128002816216695 138809458633825 166571350360590 170670421622260 181642091583691 182861166023850 213338027027825 237959071943700 256005632433390 277618917267650 333142700721180 363284183167382 365722332047700 416428375901475 426676054055650 512011264866780 544926274751073 555237834535300 640014081083475 726568366334764 832856751802950 853352108111300 908210457918455 1089852549502146 1271494641085837 1280028162166950 1665713503605900 1816420915836910 2179705099004292 2542989282171674 2560056324333900 2724631373755365 3632841831673820 3814483923257511 4541052289592275 5085978564343348 5449262747510730 6357473205429185 7628967846515022 9082104579184550 10898525495021460 12714946410858370 13623156868776825 15257935693030044 18164209158369100 19072419616287555 25429892821716740 27246313737553650 31787366027145925 38144839232575110 54492627475107300 63574732054291850 76289678465150220 95362098081437775 127149464108583700 190724196162875550 381448392325751100
- Sum of all divisors σ(n): 1275332862597696000
- Sum of proper divisors (its aliquot sum) s(n): 893884470271944900
- 381448392325751100 is an abundant number, because the sum of its proper divisors (893884470271944900) is greater than itself. Its abundance is 512436077946193800
Bases of 381448392325751100
- Binary: 101010010110010110101001010101101001011100001100001001111002
- Hexadecimal: 0x54B2D4AB4B8613C
- Base-36: 2WBW64AD4A4C
Squares and roots of 381448392325751100
- 381448392325751100 squared (3814483923257511002) is 145502876007900130680576179151210000
- 381448392325751100 cubed (3814483923257511003) is 55501838131986606057432725430074418346623723831000000
-
The
square root of 381448392325751100 is 617615084.2764052019 -
The
cube root of 381448392325751100 is 725234.7348200519
Scales and comparisons
How big is 381448392325751100?- 381,448,392,325,751,100 seconds is equal to 12,128,878,978 years, 31 weeks, 5 days, 17 hours, 5 minutes.
-
To count from 1 to 381,448,392,325,751,100 would take you about thirty-six billion, three hundred eighty-six million, six hundred thirty-six thousand, nine hundred thirty-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 381448392325751100 cubic inches would be around 60436.2 feet tall.
Recreational maths with 381448392325751100
- 381448392325751100 backwards is 001157523293844183
- The number of decimal digits it has is: 18
- The sum of 381448392325751100's digits is 66
- More coming soon!
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