48076161976710400
48,076,161,976,710,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 48076161976710400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
48076161976710400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 48076161976710400:
28 × 52 × 13 × 73 × 7915595689
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 73 × 7915595689)See below for interesting mathematical facts about the number 48076161976710400 from the Numbermatics database.
Names of 48076161976710400
- Cardinal: 48076161976710400 can be written as Forty-eight quadrillion, seventy-six trillion, one hundred sixty-one billion, nine hundred seventy-six million, seven hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 4.80761619767104 × 1016
Factors of 48076161976710400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 7915595782
Divisors of 48076161976710400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 73 80 100 104 128 130 146 160 200 208 256 260 292 320 325 365 400 416 520 584 640 650 730 800 832 949 1040 1168 1280 1300 1460 1600 1664 1825 1898 2080 2336 2600 2920 3200 3328 3650 3796 4160 4672 4745 5200 5840 6400 7300 7592 8320 9344 9490 10400 11680 14600 15184 16640 18688 18980 20800 23360 23725 29200 30368 37960 41600 46720 47450 58400 60736 75920 83200 93440 94900 116800 121472 151840 189800 233600 242944 303680 379600 467200 607360 759200 1214720 1518400 3036800 6073600 7915595689 15831191378 31662382756 39577978445 63324765512 79155956890 102902743957 126649531024 158311913780 197889892225 205805487914 253299062048 316623827560 395779784450 411610975828 506598124096 514513719785 577838485297 633247655120 791559568900 823221951656 1013196248192 1029027439570 1155676970594 1266495310240 1583119137800 1646443903312 2026392496384 2058054879140 2311353941188 2532990620480 2572568598925 2889192426485 3166238275600 3292887806624 4116109758280 4622707882376 5065981240960 5145137197850 5778384852970 6332476551200 6585775613248 7511900308861 8232219516560 9245415764752 10131962481920 10290274395700 11556769705940 12664953102400 13171551226496 14445962132425 15023800617722 16464439033120 18490831529504 20580548791400 23113539411880 25329906204800 26343102452992 28891924264850 30047601235444 32928878066240 36981663059008 37559501544305 41161097582800 46227078823760 50659812409600 57783848529700 60095202470888 65857756132480 73963326118016 75119003088610 82322195165600 92454157647520 115567697059400 120190404941776 131715512264960 147926652236032 150238006177220 164644390331200 184908315295040 187797507721525 231135394118800 240380809883552 300476012354440 329288780662400 369816630590080 375595015443050 462270788237600 480761619767104 600952024708880 658577561324800 739633261180160 751190030886100 924541576475200 961523239534208 1201904049417760 1502380061772200 1849083152950400 1923046479068416 2403808098835520 3004760123544400 3698166305900800 4807616197671040 6009520247088800 9615232395342080 12019040494177600 24038080988355200 48076161976710400
- Sum of all divisors σ(n): 129905025573000440
- Sum of proper divisors (its aliquot sum) s(n): 81828863596290040
- 48076161976710400 is an abundant number, because the sum of its proper divisors (81828863596290040) is greater than itself. Its abundance is 33752701619579640
Bases of 48076161976710400
- Binary: 101010101100110100000011101111001100100100110101000000002
- Hexadecimal: 0xAACD03BCC93500
- Base-36: D5DKRWV7RB4
Squares and roots of 48076161976710400
- 48076161976710400 squared (480761619767104002) is 2311317350410894835512005468160000
- 48076161976710400 cubed (480761619767104003) is 111119267317935290112908951471005599368740864000000
-
The
square root of 48076161976710400 is 219262769.2443712615 -
The
cube root of 48076161976710400 is 363616.2329594657
Scales and comparisons
How big is 48076161976710400?- 48,076,161,976,710,400 seconds is equal to 1,528,673,241 years, 27 weeks, 2 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 48,076,161,976,710,400 would take you about four billion, five hundred eighty-six million, nineteen thousand, seven hundred twenty-four 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 48076161976710400 cubic inches would be around 30301.4 feet tall.
Recreational maths with 48076161976710400
- 48076161976710400 backwards is 00401767916167084
- The number of decimal digits it has is: 17
- The sum of 48076161976710400's digits is 67
- More coming soon!
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