13953379745616000
13,953,379,745,616,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13953379745616000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
13953379745616000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13953379745616000:
27 × 3 × 53 × 192 × 23 × 612 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 23 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 13953379745616000 from the Numbermatics database.
Names of 13953379745616000
- Cardinal: 13953379745616000 can be written as Thirteen quadrillion, nine hundred fifty-three trillion, three hundred seventy-nine billion, seven hundred forty-five million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3953379745616 × 1016
Factors of 13953379745616000
Divisors of 13953379745616000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 25 30 32 38 40 46 48 50 57 60 61 64 69 75 76 80 92 95 96 97 100 114 115 120 122 125 128 138 150 152 160 183 184 190 192 194 200 228 230 240 244 250 276 285 291 300 304 305 320 345 361 366 368 375 380 384 388 400 437 456 460 475 480 485 488 500 552 570 575 582 600 608 610 640 690 722 732 736 750 760 776 800 874 912 915 920 950 960 970 976 1000 1083 1104 1140 1150 1159 1164 1200 1216 1220 1311 1380 1403 1425 1444 1455 1464 1472 1500 1520 1525 1552 1600 1725 1748 1805 1824 1830 1840 1843 1900 1920 1940 1952 2000 2166 2185 2208 2231 2280 2300 2318 2328 2375 2400 2425 2432 2440 2622 2760 2806 2850 2875 2888 2910 2928 2944 3000 3040 3050 3104 3200 3450 3477 3496 3610 3648 3660 3680 3686 3721 3800 3880 3904 4000 4209 4332 4370 4416 4462 4560 4575 4600 4636 4656 4750 4800 4850 4880 5244 5415 5520 5529 5612 5700 5750 5776 5795 5820 5856 5917 6000 6080 6100 6208 6555 6693 6900 6954 6992 7015 7125 7220 7275 7296 7320 7360 7372 7442 7600 7625 7760 7808 8000 8303 8418 8625 8664 8740 8832 8924 9025 9120 9150 9200 9215 9272 9312 9409 9500 9600 9700 9760 10488 10830 10925 11040 11058 11155 11163 11224 11400 11500 11552 11590 11640 11712 11834 12000 12125 12160 12200 12416 13110 13386 13800 13908 13984 14030 14250 14440 14550 14640 14720 14744 14884 15200 15250 15520 16000 16606 16836 17250 17328 17385 17480 17751 17848 18050 18240 18300 18400 18430 18544 18605 18624 18818 19000 19400 19520 20976 21045 21660 21850 22021 22080 22116 22310 22326 22448 22800 22875 23000 23104 23180 23280 23424 23668 24000 24250 24400 24909 26220 26657 26772 27075 27600 27645 27816 27968 28060 28227 28500 28880 28975 29100 29280 29488 29585 29768 30400 30500 31040 32775 33212 33465 33672 34500 34656 34770 34960 35017 35075 35502 35696 36100 36375 36480 36600 36800 36860 37088 37210 37248 37636 38000 38800 39040 41515 41952 42090 42389 43320 43700 44042 44160 44232 44620 44652 44896 45125 45600 45750 46000 46075 46208 46360 46560 47045 47336 48000 48500 48800 49818 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6442003576000 6976689872808 7148247820500 7192463786400 7267385284175 7343884076640 7571014512000 7583358557400 7624797675200 7649879246500 7730404291200 7982482692000 8088915794560 8720862341010 8990579733000 9149757210240 9179855095800 9302253163744 9479198196750 9530997094000 9589951715200 9663005364000 9791845435520 9945388272000 10111144743200 10643310256000 11437196512800 11474818869750 11627816454680 11987439644000 12039154224000 12133373691840 12239806794400 12638930929000 12884007152000 13953379745616 14296495641000 14384927572800 14534770568350 14687768153280 15166717114800 15249595350400 15299758493000 15964965384000 17441724682020 17981159466000 18359710191600 18604506327488 18958396393500 19061994188000 19326010728000 20222289486400 21802155852525 22874393025600 22949637739500 23255632909360 23974879288000 24266747383680 24479613588800 25277861858000 27906759491232 28592991282000 28769855145600 29069541136700 29375536306560 30333434229600 30599516986000 31929930768000 34883449364040 35962318932000 36336926420875 36719420383200 37209012654976 37916792787000 38123988376000 38652021456000 40444578972800 43604311705050 45748786051200 45899275479000 46511265818720 47949758576000 48959227177600 50555723716000 55813518982464 57185982564000 58139082273400 60666868459200 61199033972000 69766898728080 71924637864000 72673852841750 73438840766400 75833585574000 76247976752000 87208623410100 91798550958000 93022531637440 101111447432000 109010779262625 111627037964928 114371965128000 116278164546800 121333736918400 122398067944000 139533797456160 143849275728000 145347705683500 146877681532800 151667171148000 174417246820200 183597101916000 186045063274880 202222894864000 218021558525250 228743930256000 232556329093600 244796135888000 279067594912320 290695411367000 303334342296000 348834493640400 367194203832000 436043117050500 465112658187200 558135189824640 581390822734000 606668684592000 697668987280800 734388407664000 872086234101000 930225316374400 1162781645468000 1395337974561600 1744172468202000 2325563290936000 2790675949123200 3488344936404000 4651126581872000 6976689872808000 13953379745616000
- Sum of all divisors σ(n): 52328805670327680
- Sum of proper divisors (its aliquot sum) s(n): 38375425924711680
- 13953379745616000 is an abundant number, because the sum of its proper divisors (38375425924711680) is greater than itself. Its abundance is 24422046179095680
Bases of 13953379745616000
- Binary: 1100011001001010000110011000110010011101010000100000002
- Hexadecimal: 0x31928663275080
- Base-36: 3TE265UY8AO
Squares and roots of 13953379745616000
- 13953379745616000 squared (139533797456160002) is 194696806325366828871219456000000
- 13953379745616000 cubed (139533797456160003) is 2716678473916494622362980737384989904896000000000
-
The
square root of 13953379745616000 is 118124424.8477680419 -
The
cube root of 13953379745616000 is 240746.4016589689
Scales and comparisons
How big is 13953379745616000?- 13,953,379,745,616,000 seconds is equal to 443,674,315 years, 14 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 13,953,379,745,616,000 would take you about one billion, three hundred thirty-one million, twenty-two thousand, nine hundred forty-five 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 13953379745616000 cubic inches would be around 20062.2 feet tall.
Recreational maths with 13953379745616000
- 13953379745616000 backwards is 00061654797335931
- 13953379745616000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13953379745616000's digits is 69
- More coming soon!
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"Number 13953379745616000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 13953379745616000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13953379745616000/
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Numbermatics. 2024. "Number 13953379745616000 - Facts about the integer". https://numbermatics.com/n/13953379745616000/
The information we have on file for 13953379745616000 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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