5133985916817600
5,133,985,916,817,600 is an even composite number composed of five prime numbers multiplied together.
5133985916817600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 5133985916817600:
26 × 33 × 52 × 31 × 3833621503
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 3833621503)See below for interesting mathematical facts about the number 5133985916817600 from the Numbermatics database.
Names of 5133985916817600
- Cardinal: 5133985916817600 can be written as Five quadrillion, one hundred thirty-three trillion, nine hundred eighty-five billion, nine hundred sixteen million, eight hundred seventeen thousand, six hundred.
Scientific notation
- Scientific notation: 5.1339859168176 × 1015
Factors of 5133985916817600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 3833621544
Divisors of 5133985916817600
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 135 144 150 155 160 180 186 192 200 216 225 240 248 270 279 288 300 310 320 360 372 400 432 450 465 480 496 540 558 576 600 620 675 720 744 775 800 837 864 900 930 960 992 1080 1116 1200 1240 1350 1395 1440 1488 1550 1600 1674 1728 1800 1860 1984 2160 2232 2325 2400 2480 2700 2790 2880 2976 3100 3348 3600 3720 4185 4320 4464 4650 4800 4960 5400 5580 5952 6200 6696 6975 7200 7440 8370 8640 8928 9300 9920 10800 11160 12400 13392 13950 14400 14880 16740 17856 18600 20925 21600 22320 24800 26784 27900 29760 33480 37200 41850 43200 44640 49600 53568 55800 66960 74400 83700 89280 111600 133920 148800 167400 223200 267840 334800 446400 669600 1339200 3833621503 7667243006 11500864509 15334486012 19168107515 23001729018 30668972024 34502593527 38336215030 46003458036 57504322545 61337944048 69005187054 76672430060 92006916072 95840537575 103507780581 115008645090 118842266593 122675888096 138010374108 153344860120 172512967635 184013832144 191681075150 207015561162 230017290180 237684533186 245351776192 276020748216 287521612725 306689720240 345025935270 356526799779 368027664288 383362150300 414031122324 460034580360 475369066372 517538902905 552041496432 575043225450 594211332965 613379440480 690051870540 713053599558 736055328576 766724300600 828062244648 862564838175 920069160720 950738132744 1035077805810 1069580399337 1104082992864 1150086450900 1188422665930 1226758880960 1380103741080 1426107199116 1533448601200 1656124489296 1725129676350 1782633998895 1840138321440 1901476265488 2070155611620 2139160798674 2208165985728 2300172901800 2376845331860 2587694514525 2760207482160 2852214398232 2971056664825 3066897202400 3208741198011 3312248978592 3450259352700 3565267997790 3680276642880 3802952530976 4140311223240 4278321597348 4600345803600 4753690663720 5175389029050 5347901996685 5520414964320 5704428796464 5942113329650 6133794404800 6417482396022 6624497957184 6900518705400 7130535995580 7605905061952 8280622446480 8556643194696 8913169994475 9200691607200 9507381327440 10350778058100 10695803993370 11040829928640 11408857592928 11884226659300 12834964792044 13801037410800 14261071991160 16043705990055 16561244892960 17113286389392 17826339988950 18401383214400 19014762654880 20701556116200 21391607986740 22817715185856 23768453318600 25669929584088 26739509983425 27602074821600 28522143982320 32087411980110 33122489785920 34226572778784 35652679977900 38029525309760 41403112232400 42783215973480 47536906637200 51339859168176 53479019966850 55204149643200 57044287964640 64174823960220 68453145557568 71305359955800 80218529950275 82806224464800 85566431946960 95073813274400 102679718336352 106958039933700 114088575929280 128349647920440 142610719911600 160437059900550 165612448929600 171132863893920 190147626548800 205359436672704 213916079867400 256699295840880 285221439823200 320874119801100 342265727787840 427832159734800 513398591681760 570442879646400 641748239602200 855664319469600 1026797183363520 1283496479204400 1711328638939200 2566992958408800 5133985916817600
- Sum of all divisors σ(n): 19318998862397440
- Sum of proper divisors (its aliquot sum) s(n): 14185012945579840
- 5133985916817600 is an abundant number, because the sum of its proper divisors (14185012945579840) is greater than itself. Its abundance is 9051027028762240
Bases of 5133985916817600
- Binary: 100100011110101010101001111101101101010010000110000002
- Hexadecimal: 0x123D553EDA90C0
- Base-36: 1EJUGKJA9C0
Squares and roots of 5133985916817600
- 5133985916817600 squared (51339859168176002) is 26357811394081452826511669760000
- 5133985916817600 cubed (51339859168176003) is 135320632495348651163930299788439041355776000000
-
The
square root of 5133985916817600 is 71651838.1956638989 -
The
cube root of 5133985916817600 is 172511.5686906857
Scales and comparisons
How big is 5133985916817600?- 5,133,985,916,817,600 seconds is equal to 163,244,871 years, 36 weeks, 12 hours.
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To count from 1 to 5,133,985,916,817,600 would take you about four hundred eighty-nine million, seven hundred thirty-four thousand, six hundred fifteen 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 5133985916817600 cubic inches would be around 14376 feet tall.
Recreational maths with 5133985916817600
- 5133985916817600 backwards is 0067186195893315
- 5133985916817600 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5133985916817600's digits is 72
- More coming soon!
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