13873492137984000
13,873,492,137,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13873492137984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3240 divisors.
13873492137984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 13873492137984000:
214 × 3 × 53 × 192 × 412 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 41 × 41 × 61 × 61)See below for interesting mathematical facts about the number 13873492137984000 from the Numbermatics database.
Names of 13873492137984000
- Cardinal: 13873492137984000 can be written as Thirteen quadrillion, eight hundred seventy-three trillion, four hundred ninety-two billion, one hundred thirty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3873492137984 × 1016
Factors of 13873492137984000
Divisors of 13873492137984000
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 41 48 50 57 60 61 64 75 76 80 82 95 96 100 114 120 122 123 125 128 150 152 160 164 183 190 192 200 205 228 240 244 246 250 256 285 300 304 305 320 328 361 366 375 380 384 400 410 456 475 480 488 492 500 512 570 600 608 610 615 640 656 722 732 750 760 768 779 800 820 912 915 950 960 976 984 1000 1024 1025 1083 1140 1159 1200 1216 1220 1230 1280 1312 1425 1444 1464 1500 1520 1525 1536 1558 1600 1640 1681 1805 1824 1830 1900 1920 1952 1968 2000 2048 2050 2166 2280 2318 2337 2375 2400 2432 2440 2460 2501 2560 2624 2850 2888 2928 3000 3040 3050 3072 3075 3116 3200 3280 3362 3477 3610 3648 3660 3721 3800 3840 3895 3904 3936 4000 4096 4100 4332 4560 4575 4636 4674 4750 4800 4864 4880 4920 5002 5043 5120 5125 5248 5415 5700 5776 5795 5856 6000 6080 6100 6144 6150 6232 6400 6560 6724 6954 7125 7220 7296 7320 7442 7503 7600 7625 7680 7790 7808 7872 8000 8192 8200 8405 8664 9025 9120 9150 9272 9348 9500 9600 9728 9760 9840 10004 10086 10240 10250 10496 10830 11163 11400 11552 11590 11685 11712 12000 12160 12200 12288 12300 12464 12505 12800 13120 13448 13908 14250 14440 14592 14640 14801 14884 15006 15200 15250 15360 15375 15580 15616 15744 16000 16384 16400 16810 17328 17385 18050 18240 18300 18544 18605 18696 19000 19200 19456 19475 19520 19680 20008 20172 20480 20500 20992 21660 22021 22326 22800 22875 23104 23180 23370 23424 24000 24320 24400 24576 24600 24928 25010 25215 25600 26240 26896 27075 27816 28500 28880 28975 29184 29280 29602 29768 30012 30400 30500 30720 30750 31160 31232 31488 31939 32000 32800 33620 34656 34770 36100 36480 36600 37088 37210 37392 37515 38000 38400 38912 38950 39040 39360 40016 40344 40960 41000 41984 42025 43320 44042 44403 44652 45125 45600 45750 46208 46360 46740 46848 47519 48000 48640 48800 49152 49200 49856 50020 50430 51200 52480 53792 54150 55632 55815 57000 57760 57950 58368 58425 58560 59204 59536 60024 60800 61000 61440 61500 62320 62464 62525 62976 63878 64000 65600 66063 67240 69312 69540 70699 72200 72960 73200 74005 74176 74420 74784 75030 76000 76800 77824 77900 78080 78720 80032 80688 81920 82000 83968 84050 86640 86925 88084 88806 89304 90250 91200 91500 92416 92720 93025 93480 93696 95038 95817 96000 97280 97375 97600 98400 99712 100040 100860 102400 102541 104960 107584 108300 110105 111264 111630 114000 115520 115900 116736 116850 117120 118408 119072 120048 121600 122000 122880 123000 124640 124928 125050 125952 126075 127756 128000 131200 132126 134480 135375 138624 139080 141398 142557 144400 144875 145920 146400 148010 148352 148840 149568 150060 152000 152561 153600 155648 155800 156160 157440 159695 160064 161376 164000 167936 168100 173280 173850 176168 177612 178608 180500 182400 183000 184832 185440 186050 186960 187392 187575 190076 191634 192000 194560 194750 195200 196800 199424 200080 201720 204800 205082 209920 210125 212097 215168 216600 220210 222015 222528 223260 228000 231040 231800 233472 233700 234240 236816 237595 238144 240096 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34683730344960 36128885776000 36509189836800 36995979034624 37905716224000 38430726144000 42297232128000 43354662931200 45486859468800 45636487296000 46244973793280 48678919782400 54193328664000 55493968551936 56396309504000 56858574336000 57806217241600 60848649728000 67675571404800 69367460689920 72257771552000 73018379673600 75811432448000 84594464256000 86709325862400 91272974592000 92489947586560 108386657328000 110987937103872 112792619008000 113717148672000 115612434483200 121697299456000 138734921379840 144515543104000 146036759347200 169188928512000 173418651724800 182545949184000 184979895173120 216773314656000 227434297344000 231224868966400 243394598912000 277469842759680 289031086208000 338377857024000 346837303449600 365091898368000 433546629312000 462449737932800 554939685519360 578062172416000 693674606899200 730183796736000 867093258624000 924899475865600 1156124344832000 1387349213798400 1734186517248000 2312248689664000 2774698427596800 3468373034496000 4624497379328000 6936746068992000 13873492137984000
- Sum of all divisors σ(n): 50777096676847632
- Sum of proper divisors (its aliquot sum) s(n): 36903604538863632
- 13873492137984000 is an abundant number, because the sum of its proper divisors (36903604538863632) is greater than itself. Its abundance is 23030112400879632
Bases of 13873492137984000
- Binary: 1100010100100111011110000110101010110111000000000000002
- Hexadecimal: 0x3149DE1AADC000
- Base-36: 3SLQQAW04QO
Squares and roots of 13873492137984000
- 13873492137984000 squared (138734921379840002) is 192473784102703859295584256000000
- 13873492137984000 cubed (138734921379840003) is 2670283530516891795933903131983849979904000000000
-
The
square root of 13873492137984000 is 117785789.2021953555 -
The
cube root of 13873492137984000 is 240286.0717124709
Scales and comparisons
How big is 13873492137984000?- 13,873,492,137,984,000 seconds is equal to 441,134,136 years, 23 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 13,873,492,137,984,000 would take you about one billion, three hundred twenty-three million, four hundred two thousand, four hundred 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 13873492137984000 cubic inches would be around 20023.8 feet tall.
Recreational maths with 13873492137984000
- 13873492137984000 backwards is 00048973129437831
- The number of decimal digits it has is: 17
- The sum of 13873492137984000's digits is 69
- More coming soon!
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"Number 13873492137984000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13873492137984000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13873492137984000/
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The information we have on file for 13873492137984000 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 13873492137984000, math, Factors of 13873492137984000, curriculum, school, college, exams, university, Prime factorization of 13873492137984000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred seventy-three trillion, four hundred ninety-two billion, one hundred thirty-seven million, nine hundred eighty-four thousand.