13742004919686400000
13,742,004,919,686,400,000 is an even composite number composed of five prime numbers multiplied together.
13742004919686400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 13742004919686400000:
211 × 55 × 73 × 193 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 19 × 19 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13742004919686400000 from the Numbermatics database.
Names of 13742004919686400000
- Cardinal: 13742004919686400000 can be written as Thirteen quintillion, seven hundred forty-two quadrillion, four trillion, nine hundred nineteen billion, six hundred eighty-six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.37420049196864 × 1019
Factors of 13742004919686400000
Divisors of 13742004919686400000
- Number of divisors d(n): 4608
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 97 98 100 112 125 128 133 140 152 160 175 190 194 196 200 224 245 250 256 266 280 304 320 343 350 361 380 388 392 400 448 475 485 490 500 512 532 560 608 625 640 665 679 686 700 722 760 776 784 800 875 896 931 950 970 980 1000 1024 1064 1120 1216 1225 1250 1280 1330 1358 1372 1400 1444 1520 1552 1568 1600 1715 1750 1792 1805 1843 1862 1900 1940 1960 2000 2048 2128 2240 2375 2425 2432 2450 2500 2527 2560 2660 2716 2744 2800 2888 3040 3104 3125 3136 3200 3325 3395 3430 3500 3584 3610 3686 3724 3800 3880 3920 4000 4256 4375 4480 4655 4750 4753 4850 4864 4900 5000 5054 5120 5320 5432 5488 5600 5776 6080 6125 6208 6250 6272 6400 6517 6650 6790 6859 6860 7000 7168 7220 7372 7448 7600 7760 7840 8000 8512 8575 8750 8960 9025 9215 9310 9409 9500 9506 9700 9728 9800 10000 10108 10240 10640 10864 10976 11200 11552 11875 12125 12160 12250 12416 12500 12544 12635 12800 12901 13034 13300 13580 13718 13720 14000 14336 14440 14744 14896 15200 15520 15680 16000 16625 16975 17024 17150 17500 17689 17920 18050 18430 18620 18818 19000 19012 19400 19456 19600 20000 20216 21280 21728 21875 21952 22400 23104 23275 23750 23765 24250 24320 24500 24832 25000 25088 25270 25600 25802 26068 26600 27160 27436 27440 28000 28880 29488 29792 30400 30625 31040 31360 32000 32585 33250 33271 33950 34048 34295 34300 35000 35017 35378 35840 36100 36860 37240 37636 38000 38024 38800 38912 39200 40000 40432 42560 42875 43456 43750 43904 44800 45125 46075 46208 46550 47045 47500 47530 48013 48500 48640 49000 49664 50000 50176 50540 51200 51604 52136 53200 54320 54872 54880 56000 57760 58976 59375 59584 60625 60800 61250 62080 62720 63175 64000 64505 65170 65863 66500 66542 67900 68096 68590 68600 70000 70034 70756 71680 72200 73720 74480 75272 76000 76048 77600 78400 80000 80864 83125 84875 85120 85750 86912 87500 87808 88445 89600 90250 90307 92150 92416 93100 94090 95000 95060 96026 97000 97280 98000 99328 100000 100352 101080 103208 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858875307480400000 981571779977600000 1374200491968640000 1717750614960800000 1963143559955200000 2748400983937280000 3435501229921600000 6871002459843200000 13742004919686400000
- Sum of all divisors σ(n): 42716966257929600000
- Sum of proper divisors (its aliquot sum) s(n): 28974961338243200000
- 13742004919686400000 is an abundant number, because the sum of its proper divisors (28974961338243200000) is greater than itself. Its abundance is 15232956418556800000
Bases of 13742004919686400000
- Binary: 10111110101101010110100010101010100010111001010000001000000000002
- Hexadecimal: 0xBEB568AA8B940800
- Base-36: 2WELA6SA0N01S
Squares and roots of 13742004919686400000
- 13742004919686400000 squared (137420049196864000002) is 188842699212685220914274344960000000000
- 13742004919686400000 cubed (137420049196864000003) is 2595077301627579361742146861391380768620544000000000000000
-
The
square root of 13742004919686400000 is 3707021030.3809175989 -
The
cube root of 13742004919686400000 is 2395245.5016975385
Scales and comparisons
How big is 13742004919686400000?- 13,742,004,919,686,400,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,742,004,919,686,400,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13742004919686400000 cubic inches would be around 199603.8 feet tall.
Recreational maths with 13742004919686400000
- 13742004919686400000 backwards is 00000468691940024731
- 13742004919686400000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13742004919686400000's digits is 64
- More coming soon!
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"Number 13742004919686400000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 13742004919686400000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13742004919686400000/
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The information we have on file for 13742004919686400000 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 13742004919686400000, math, Factors of 13742004919686400000, curriculum, school, college, exams, university, Prime factorization of 13742004919686400000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred forty-two quadrillion, four trillion, nine hundred nineteen billion, six hundred eighty-six million, four hundred thousand.