34809056006400000
34,809,056,006,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 34809056006400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5832 divisors.
34809056006400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, eight hundred thirty-two divisors.
Prime factorization of 34809056006400000:
211 × 32 × 55 × 132 × 312 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 34809056006400000 from the Numbermatics database.
Names of 34809056006400000
- Cardinal: 34809056006400000 can be written as Thirty-four quadrillion, eight hundred nine trillion, fifty-six billion, six million, four hundred thousand.
Scientific notation
- Scientific notation: 3.48090560064 × 1016
Factors of 34809056006400000
Divisors of 34809056006400000
- Number of divisors d(n): 5832
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 61 62 64 65 72 75 78 80 90 93 96 100 104 117 120 122 124 125 128 130 144 150 155 156 160 169 180 183 186 192 195 200 208 225 234 240 244 248 250 256 260 279 288 300 305 310 312 320 325 338 360 366 372 375 384 390 400 403 416 450 465 468 480 488 496 500 507 512 520 549 558 576 585 600 610 620 624 625 640 650 676 720 732 744 750 768 775 780 793 800 806 832 845 900 915 930 936 960 961 975 976 992 1000 1014 1024 1040 1098 1116 1125 1152 1170 1200 1209 1220 1240 1248 1250 1280 1300 1352 1395 1440 1464 1488 1500 1521 1525 1536 1550 1560 1586 1600 1612 1625 1664 1690 1800 1830 1860 1872 1875 1891 1920 1922 1950 1952 1984 2000 2015 2028 2048 2080 2196 2232 2250 2304 2325 2340 2379 2400 2418 2440 2480 2496 2500 2535 2560 2600 2704 2745 2790 2880 2883 2925 2928 2976 3000 3042 3050 3072 3100 3120 3125 3172 3200 3224 3250 3328 3380 3600 3627 3660 3720 3721 3744 3750 3782 3840 3844 3875 3900 3904 3965 3968 4000 4030 4056 4160 4225 4392 4464 4500 4575 4608 4650 4680 4758 4800 4805 4836 4875 4880 4960 4992 5000 5070 5120 5200 5239 5408 5490 5580 5625 5673 5760 5766 5850 5856 5952 6000 6045 6084 6100 6144 6200 6240 6250 6344 6400 6448 6500 6656 6760 6975 7137 7200 7254 7320 7440 7442 7488 7500 7564 7605 7625 7680 7688 7750 7800 7808 7930 7936 8000 8060 8112 8125 8320 8450 8649 8784 8928 9000 9150 9216 9300 9360 9375 9455 9516 9600 9610 9672 9750 9760 9920 9984 10000 10075 10140 10240 10309 10400 10478 10816 10980 11160 11163 11250 11346 11520 11532 11625 11700 11712 11895 11904 12000 12090 12168 12200 12400 12480 12493 12500 12675 12688 12800 12896 13000 13312 13520 13725 13950 14274 14400 14415 14508 14625 14640 14880 14884 14976 15000 15128 15210 15250 15360 15376 15500 15600 15616 15717 15860 15872 16000 16120 16224 16250 16640 16900 17019 17298 17568 17856 18000 18135 18300 18432 18600 18605 18720 18750 18910 19032 19200 19220 19344 19375 19500 19520 19825 19840 19968 20000 20150 20280 20618 20800 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8702264001600000 11603018668800000 17404528003200000 34809056006400000
- Sum of all divisors σ(n): 142944080995604070
- Sum of proper divisors (its aliquot sum) s(n): 108135024989204070
- 34809056006400000 is an abundant number, because the sum of its proper divisors (108135024989204070) is greater than itself. Its abundance is 73325968982804070
Bases of 34809056006400000
- Binary: 11110111010101010100110111010100011101001101000000000002
- Hexadecimal: 0x7BAAA6EA3A6800
- Base-36: 9IQS3KJ0N40
Squares and roots of 34809056006400000
- 34809056006400000 squared (348090560064000002) is 1211670380056691916840960000000000
- 34809056006400000 cubed (348090560064000003) is 42177102120689362540427148001542144000000000000000
-
The
square root of 34809056006400000 is 186571852.1278062455 -
The
cube root of 34809056006400000 is 326510.6979271053
Scales and comparisons
How big is 34809056006400000?- 34,809,056,006,400,000 seconds is equal to 1,106,820,309 years, 27 weeks, 1 day, 16 hours.
-
To count from 1 to 34,809,056,006,400,000 would take you about three billion, three hundred twenty million, four hundred sixty thousand, nine hundred twenty-eight 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 34809056006400000 cubic inches would be around 27209.2 feet tall.
Recreational maths with 34809056006400000
- 34809056006400000 backwards is 00000460065090843
- 34809056006400000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34809056006400000's digits is 45
- More coming soon!
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"Number 34809056006400000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 34809056006400000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/34809056006400000/
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The information we have on file for 34809056006400000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 34809056006400000, math, Factors of 34809056006400000, curriculum, school, college, exams, university, Prime factorization of 34809056006400000, STEM, science, technology, engineering, physics, economics, calculator, thirty-four quadrillion, eight hundred nine trillion, fifty-six billion, six million, four hundred thousand.