90468939640800
90,468,939,640,800 is an even composite number composed of five prime numbers multiplied together.
90468939640800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 90468939640800:
25 × 3 × 52 × 7 × 5385055931
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 5385055931)See below for interesting mathematical facts about the number 90468939640800 from the Numbermatics database.
Names of 90468939640800
- Cardinal: 90468939640800 can be written as Ninety trillion, four hundred sixty-eight billion, nine hundred thirty-nine million, six hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 9.04689396408 × 1013
Factors of 90468939640800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 5385055948
Divisors of 90468939640800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 5385055931 10770111862 16155167793 21540223724 26925279655 32310335586 37695391517 43080447448 53850559310 64620671172 75390783034 80775838965 86160894896 107701118620 113086174551 129241342344 134626398275 150781566068 161551677930 172321789792 188476957585 215402237240 226172349102 258482684688 269252796550 301563132136 323103355860 376953915170 403879194825 430804474480 452344698204 516965369376 538505593100 565430872755 603126264272 646206711720 753907830340 807758389650 861608948960 904689396408 942384787925 1077011186200 1130861745510 1206252528544 1292413423440 1507815660680 1615516779300 1809378792816 1884769575850 2154022372400 2261723491020 2584826846880 2827154363775 3015631321360 3231033558600 3618757585632 3769539151700 4308044744800 4523446982040 5654308727550 6031262642720 6462067117200 7539078303400 9046893964080 11308617455100 12924134234400 15078156606800 18093787928160 22617234910200 30156313213600 45234469820400 90468939640800
- Sum of all divisors σ(n): 336544455526272
- Sum of proper divisors (its aliquot sum) s(n): 246075515885472
- 90468939640800 is an abundant number, because the sum of its proper divisors (246075515885472) is greater than itself. Its abundance is 155606576244672
Bases of 90468939640800
- Binary: 101001001000111111100010000001010101111111000002
- Hexadecimal: 0x5247F102AFE0
- Base-36: W2GUUTN1C
Squares and roots of 90468939640800
- 90468939640800 squared (904689396408002) is 8184629039730713633024640000
- 90468939640800 cubed (904689396408003) is 740454710577736796752015837699149312000000
-
The
square root of 90468939640800 is 9511516.1588886553 -
The
cube root of 90468939640800 is 44891.7463149409
Scales and comparisons
How big is 90468939640800?- 90,468,939,640,800 seconds is equal to 2,876,632 years, 22 weeks, 6 days, 19 hours, 20 minutes.
-
To count from 1 to 90,468,939,640,800 would take you about seven million, one hundred ninety-one thousand, five hundred eighty-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 90468939640800 cubic inches would be around 3741 feet tall.
Recreational maths with 90468939640800
- 90468939640800 backwards is 00804693986409
- The number of decimal digits it has is: 14
- The sum of 90468939640800's digits is 66
- More coming soon!
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