12338944048992000
12,338,944,048,992,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12338944048992000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
12338944048992000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 12338944048992000:
28 × 3 × 53 × 11 × 172 × 71 × 521 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 17 × 17 × 71 × 521 × 1093)See below for interesting mathematical facts about the number 12338944048992000 from the Numbermatics database.
Names of 12338944048992000
- Cardinal: 12338944048992000 can be written as Twelve quadrillion, three hundred thirty-eight trillion, nine hundred forty-four billion, forty-eight million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.2338944048992 × 1016
Factors of 12338944048992000
Divisors of 12338944048992000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 64 66 68 71 75 80 85 88 96 100 102 110 120 125 128 132 136 142 150 160 165 170 176 187 192 200 204 213 220 240 250 255 256 264 272 275 284 289 300 320 330 340 352 355 374 375 384 400 408 425 426 440 480 500 510 521 528 544 550 561 568 578 600 640 660 680 704 710 748 750 768 781 800 816 825 850 852 867 880 935 960 1000 1020 1042 1056 1065 1088 1093 1100 1122 1136 1156 1200 1207 1275 1280 1320 1360 1375 1408 1420 1445 1496 1500 1562 1563 1600 1632 1650 1700 1704 1734 1760 1775 1870 1920 2000 2040 2084 2112 2125 2130 2176 2186 2200 2244 2272 2312 2343 2400 2414 2550 2605 2640 2720 2750 2805 2816 2840 2890 2992 3000 3124 3126 3179 3200 3264 3279 3300 3400 3408 3468 3520 3550 3621 3740 3840 3905 4000 4080 4125 4168 4224 4250 4260 4335 4352 4372 4400 4488 4544 4624 4675 4686 4800 4828 5100 5210 5280 5325 5440 5465 5500 5610 5680 5731 5780 5984 6000 6035 6248 6252 6358 6375 6400 6528 6558 6600 6800 6816 6936 7040 7100 7225 7242 7480 7810 7815 8000 8160 8250 8336 8448 8500 8520 8670 8744 8800 8857 8875 8976 9088 9248 9350 9372 9537 9600 9656 10200 10420 10560 10650 10880 10930 11000 11220 11360 11462 11560 11715 11968 12000 12023 12070 12496 12504 12716 12750 13025 13056 13116 13200 13277 13600 13632 13872 14025 14080 14200 14450 14484 14960 15620 15630 15895 16000 16320 16395 16500 16672 17000 17040 17193 17340 17488 17600 17714 17750 17952 18105 18176 18496 18581 18700 18744 19074 19200 19312 19525 20400 20519 20840 21120 21300 21675 21760 21860 22000 22440 22720 22924 23120 23375 23430 23936 24000 24046 24140 24992 25008 25432 25500 26050 26232 26400 26554 26571 26625 27200 27264 27325 27744 28050 28400 28655 28900 28968 29920 30175 31240 31260 31790 32000 32640 32790 33000 33344 34000 34080 34386 34680 34976 35200 35428 35500 35904 36069 36125 36210 36991 36992 37162 37400 37488 38148 38624 39050 39075 39831 40800 41038 41680 42240 42600 43350 43720 44000 44285 44880 45440 45848 46240 46750 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41129813496640 42695308128000 43446986088000 44868887450880 45363764886000 46738424428000 48199000191375 48388015878400 49355776195968 51412266870800 56086109313600 57929314784000 60485019848000 61694720244960 64265333588500 65983658016000 70107636642000 72582023817600 74781479084800 77118400306200 82259626993280 86893972176000 90727529772000 93476848856000 96398000382750 98711552391936 102824533741600 112172218627200 120970039696000 123389440489920 128530667177000 140215273284000 145164047635200 154236800612400 164519253986560 173787944352000 181455059544000 186953697712000 192796000765500 205649067483200 224344437254400 241940079392000 246778880979840 257061334354000 280430546568000 308473601224800 362910119088000 373907395424000 385592001531000 411298134966400 493557761959680 514122668708000 560861093136000 616947202449600 725820238176000 771184003062000 822596269932800 1028245337416000 1121722186272000 1233894404899200 1542368006124000 2056490674832000 2467788809798400 3084736012248000 4112981349664000 6169472024496000 12338944048992000
- Sum of all divisors σ(n): 48299811159914496
- Sum of proper divisors (its aliquot sum) s(n): 35960867110922496
- 12338944048992000 is an abundant number, because the sum of its proper divisors (35960867110922496) is greater than itself. Its abundance is 23621923061930496
Bases of 12338944048992000
- Binary: 1010111101011000110100010010001111000110001111000000002
- Hexadecimal: 0x2BD63448F18F00
- Base-36: 3DHSGN4OB9C
Squares and roots of 12338944048992000
- 12338944048992000 squared (123389440489920002) is 152249540244155091296216064000000
- 12338944048992000 cubed (123389440489920003) is 1878598558557385474460543658380633407488000000000
-
The
square root of 12338944048992000 is 111080799.6414861969 -
The
cube root of 12338944048992000 is 231078.3892737497
Scales and comparisons
How big is 12338944048992000?- 12,338,944,048,992,000 seconds is equal to 392,340,253 years, 46 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 12,338,944,048,992,000 would take you about one billion, one hundred seventy-seven million, twenty thousand, seven hundred sixty-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 12338944048992000 cubic inches would be around 19256.5 feet tall.
Recreational maths with 12338944048992000
- 12338944048992000 backwards is 00029984044983321
- 12338944048992000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12338944048992000's digits is 66
- More coming soon!
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"Number 12338944048992000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 12338944048992000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12338944048992000/
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The information we have on file for 12338944048992000 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 12338944048992000, math, Factors of 12338944048992000, curriculum, school, college, exams, university, Prime factorization of 12338944048992000, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, three hundred thirty-eight trillion, nine hundred forty-four billion, forty-eight million, nine hundred ninety-two thousand.