13845046837248000
13,845,046,837,248,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13845046837248000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3024 divisors.
13845046837248000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 13845046837248000:
217 × 32 × 53 × 116 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 53)See below for interesting mathematical facts about the number 13845046837248000 from the Numbermatics database.
Names of 13845046837248000
- Cardinal: 13845046837248000 can be written as Thirteen quadrillion, eight hundred forty-five trillion, forty-six billion, eight hundred thirty-seven million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3845046837248 × 1016
Factors of 13845046837248000
Divisors of 13845046837248000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 53 55 60 64 66 72 75 80 88 90 96 99 100 106 110 120 121 125 128 132 144 150 159 160 165 176 180 192 198 200 212 220 225 240 242 250 256 264 265 275 288 300 318 320 330 352 360 363 375 384 396 400 424 440 450 477 480 484 495 500 512 528 530 550 576 583 600 605 636 640 660 704 720 726 750 768 792 795 800 825 848 880 900 954 960 968 990 1000 1024 1056 1060 1089 1100 1125 1152 1166 1200 1210 1272 1280 1320 1325 1331 1375 1408 1440 1452 1500 1536 1584 1590 1600 1650 1696 1749 1760 1800 1815 1908 1920 1936 1980 2000 2048 2112 2120 2178 2200 2250 2304 2332 2385 2400 2420 2475 2544 2560 2640 2650 2662 2750 2816 2880 2904 2915 3000 3025 3072 3168 3180 3200 3300 3392 3498 3520 3600 3630 3816 3840 3872 3960 3975 3993 4000 4096 4125 4224 4240 4356 4400 4500 4608 4664 4770 4800 4840 4950 5088 5120 5247 5280 5300 5324 5445 5500 5632 5760 5808 5830 6000 6050 6144 6336 6360 6400 6413 6600 6625 6655 6784 6996 7040 7200 7260 7632 7680 7744 7920 7950 7986 8000 8192 8250 8448 8480 8712 8745 8800 9000 9075 9216 9328 9540 9600 9680 9900 10176 10240 10494 10560 10600 10648 10890 11000 11264 11520 11616 11660 11925 11979 12000 12100 12288 12375 12672 12720 12800 12826 13200 13250 13310 13568 13992 14080 14400 14520 14575 14641 15125 15264 15360 15488 15840 15900 15972 16000 16384 16500 16896 16960 17424 17490 17600 18000 18150 18432 18656 19080 19200 19239 19360 19800 19875 19965 20352 20480 20988 21120 21200 21296 21780 22000 22528 23040 23232 23320 23850 23958 24000 24200 24576 24750 25344 25440 25600 25652 26235 26400 26500 26620 27136 27225 27984 28160 28800 29040 29150 29282 30250 30528 30720 30976 31680 31800 31944 32000 32065 32768 33000 33275 33792 33920 34848 34980 35200 36000 36300 36864 37312 38160 38400 38478 38720 39600 39750 39930 40704 40960 41976 42240 42400 42592 43560 43725 43923 44000 45056 45375 46080 46464 46640 47700 47916 48000 48400 49152 49500 50688 50880 51200 51304 52470 52800 53000 53240 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57210937344000 57687695155200 61533541498880 62932031078400 65306824704000 69225234186240 69924478976000 72109618944000 76916926873600 78665038848000 83909374771200 86531542732800 87075766272000 92300312248320 96146158592000 104886718464000 108164428416000 110760374697984 114421874688000 115375390310400 125864062156800 130613649408000 138450468372480 139848957952000 144219237888000 153833853747200 157330077696000 173063085465600 184600624496640 192292317184000 209773436928000 216328856832000 230750780620800 251728124313600 261227298816000 276900936744960 288438475776000 307667707494400 314660155392000 346126170931200 384584634368000 419546873856000 432657713664000 461501561241600 553801873489920 576876951552000 629320310784000 692252341862400 769169268736000 865315427328000 923003122483200 1153753903104000 1258640621568000 1384504683724800 1538338537472000 1730630854656000 2307507806208000 2769009367449600 3461261709312000 4615015612416000 6922523418624000 13845046837248000
- Sum of all divisors σ(n): 55943386108390872
- Sum of proper divisors (its aliquot sum) s(n): 42098339271142872
- 13845046837248000 is an abundant number, because the sum of its proper divisors (42098339271142872) is greater than itself. Its abundance is 28253292433894872
Bases of 13845046837248000
- Binary: 1100010010111111111111001010101010001000000000000000002
- Hexadecimal: 0x312FFF2AA20000
- Base-36: 3SBNQPMDQ80
Squares and roots of 13845046837248000
- 13845046837248000 squared (138450468372480002) is 191685321925590847800213504000000
- 13845046837248000 cubed (138450468372480003) is 2653892260072766276530040911734339796992000000000
-
The
square root of 13845046837248000 is 117664977.1055431771 -
The
cube root of 13845046837248000 is 240121.7370665869
Scales and comparisons
How big is 13845046837248000?- 13,845,046,837,248,000 seconds is equal to 440,229,663 years, 45 weeks, 6 days, 8 hours.
-
To count from 1 to 13,845,046,837,248,000 would take you about one billion, three hundred twenty million, six hundred eighty-eight thousand, nine hundred ninety-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 13845046837248000 cubic inches would be around 20010.1 feet tall.
Recreational maths with 13845046837248000
- 13845046837248000 backwards is 00084273864054831
- The number of decimal digits it has is: 17
- The sum of 13845046837248000's digits is 63
- More coming soon!
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MLA style:
"Number 13845046837248000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 13845046837248000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13845046837248000/
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Numbermatics. 2024. "Number 13845046837248000 - Facts about the integer". https://numbermatics.com/n/13845046837248000/
The information we have on file for 13845046837248000 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!
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