13122838333440000
13,122,838,333,440,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13122838333440000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3600 divisors.
13122838333440000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 13122838333440000:
214 × 32 × 54 × 11 × 19 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 19 × 137 × 4973)See below for interesting mathematical facts about the number 13122838333440000 from the Numbermatics database.
Names of 13122838333440000
- Cardinal: 13122838333440000 can be written as Thirteen quadrillion, one hundred twenty-two trillion, eight hundred thirty-eight billion, three hundred thirty-three million, four hundred forty thousand.
Scientific notation
- Scientific notation: 1.312283833344 × 1016
Factors of 13122838333440000
Divisors of 13122838333440000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 110 114 120 125 128 132 137 144 150 152 160 165 171 176 180 190 192 198 200 209 220 225 228 240 250 256 264 274 275 285 288 300 304 320 330 342 352 360 375 380 384 396 400 411 418 440 450 456 475 480 495 500 512 528 548 550 570 576 600 608 625 627 640 660 684 685 704 720 750 760 768 792 800 822 825 836 855 880 900 912 950 960 990 1000 1024 1045 1056 1096 1100 1125 1140 1152 1200 1216 1233 1250 1254 1280 1320 1368 1370 1375 1408 1425 1440 1500 1507 1520 1536 1584 1600 1644 1650 1672 1710 1760 1800 1824 1875 1881 1900 1920 1980 2000 2048 2055 2090 2112 2192 2200 2250 2280 2304 2375 2400 2432 2466 2475 2500 2508 2560 2603 2640 2736 2740 2750 2816 2850 2880 3000 3014 3040 3072 3135 3168 3200 3288 3300 3344 3420 3425 3520 3600 3648 3750 3762 3800 3840 3960 4000 4096 4110 4125 4180 4224 4275 4384 4400 4500 4521 4560 4608 4750 4800 4864 4932 4950 4973 5000 5016 5120 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273392465280000 291618629632000 298246325760000 328070958336000 345337850880000 364523287040000 397661767680000 410088697920000 437427944448000 524913533337600 546784930560000 596492651520000 656141916672000 690675701760000 729046574080000 820177395840000 874855888896000 1093569861120000 1192985303040000 1312283833344000 1458093148160000 1640354791680000 2187139722240000 2624567666688000 3280709583360000 4374279444480000 6561419166720000 13122838333440000
- Sum of all divisors σ(n): 54805882638386880
- Sum of proper divisors (its aliquot sum) s(n): 41683044304946880
- 13122838333440000 is an abundant number, because the sum of its proper divisors (41683044304946880) is greater than itself. Its abundance is 28560205971506880
Bases of 13122838333440000
- Binary: 1011101001111100100110111001010100111101000000000000002
- Hexadecimal: 0x2E9F26E54F4000
- Base-36: 3L7NOPE3280
Squares and roots of 13122838333440000
- 13122838333440000 squared (131228383334400002) is 172208885925602316622233600000000
- 13122838333440000 cubed (131228383334400003) is 2259869369583490176491115185474371584000000000000
-
The
square root of 13122838333440000 is 114554957.6990886937 -
The
cube root of 13122838333440000 is 235871.7483602863
Scales and comparisons
How big is 13122838333440000?- 13,122,838,333,440,000 seconds is equal to 417,265,667 years, 20 weeks, 5 days, 8 hours.
-
To count from 1 to 13,122,838,333,440,000 would take you about one billion, two hundred fifty-one million, seven hundred ninety-seven thousand and two 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 13122838333440000 cubic inches would be around 19656 feet tall.
Recreational maths with 13122838333440000
- 13122838333440000 backwards is 00004433383822131
- 13122838333440000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13122838333440000's digits is 45
- More coming soon!
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"Number 13122838333440000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 13122838333440000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13122838333440000/
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The information we have on file for 13122838333440000 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 13122838333440000, math, Factors of 13122838333440000, curriculum, school, college, exams, university, Prime factorization of 13122838333440000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred twenty-two trillion, eight hundred thirty-eight billion, three hundred thirty-three million, four hundred forty thousand.