48342463676416000
48,342,463,676,416,000 is an even composite number composed of six prime numbers multiplied together.
48342463676416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 48342463676416000:
224 × 53 × 7 × 13 × 432 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 43 × 43 × 137)See below for interesting mathematical facts about the number 48342463676416000 from the Numbermatics database.
Names of 48342463676416000
- Cardinal: 48342463676416000 can be written as Forty-eight quadrillion, three hundred forty-two trillion, four hundred sixty-three billion, six hundred seventy-six million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.8342463676416 × 1016
Factors of 48342463676416000
Divisors of 48342463676416000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 43 50 52 56 64 65 70 80 86 91 100 104 112 125 128 130 137 140 160 172 175 182 200 208 215 224 250 256 260 274 280 301 320 325 344 350 364 400 416 430 448 455 500 512 520 548 559 560 602 640 650 685 688 700 728 800 832 860 875 896 910 959 1000 1024 1040 1075 1096 1118 1120 1204 1280 1300 1370 1376 1400 1456 1505 1600 1625 1664 1720 1750 1781 1792 1820 1849 1918 2000 2048 2080 2150 2192 2236 2240 2275 2408 2560 2600 2740 2752 2795 2800 2912 3010 3200 3250 3328 3425 3440 3500 3562 3584 3640 3698 3836 3913 4000 4096 4160 4300 4384 4472 4480 4550 4795 4816 5120 5200 5375 5480 5504 5590 5600 5824 5891 6020 6400 6500 6656 6850 6880 7000 7124 7168 7280 7396 7525 7672 7826 8000 8192 8320 8600 8768 8905 8944 8960 9100 9245 9590 9632 10240 10400 10750 10960 11008 11180 11200 11375 11648 11782 12040 12467 12800 12943 13000 13312 13700 13760 13975 14000 14248 14336 14560 14792 15050 15344 15652 16000 16384 16640 17125 17200 17536 17810 17888 17920 18200 18490 19180 19264 19565 20480 20800 21500 21920 22016 22360 22400 22750 23296 23564 23975 24037 24080 24934 25600 25886 26000 26624 27400 27520 27950 28000 28496 28672 29120 29455 29584 30100 30688 31304 32000 32768 33280 34250 34400 35072 35620 35776 35840 36400 36980 37625 38360 38528 39130 40960 41237 41600 43000 43840 44032 44525 44720 44800 45500 46225 46592 47128 47950 48074 48160 49868 51200 51772 52000 53248 54800 55040 55900 56000 56992 57344 58240 58910 59168 60200 61376 62335 62608 64000 64715 65536 66560 68500 68800 69875 70144 71240 71552 71680 72800 73960 75250 76583 76720 77056 78260 81920 82474 83200 86000 87680 88064 89050 89440 89600 91000 92450 93184 94256 95900 96148 96320 97825 99736 102400 103544 104000 106496 109600 110080 111800 112000 113984 114688 116480 117820 118336 119875 120185 120400 122752 124670 125216 128000 129430 131072 133120 137000 137600 139750 140288 142480 143104 143360 145600 147275 147920 150500 153166 153440 154112 156520 163840 164948 166400 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1660112076800 1686051328000 1696464896000 1726516559872 1729605140480 1756630220800 1764323491840 1815747584000 1859325526016 1867513856000 1888377487360 1938817024000 2007577395200 2011168768000 2016369704960 2051538944000 2075140096000 2124943458304 2158145699840 2162006425600 2195787776000 2205404364800 2248486682624 2324156907520 2360471859200 2470864486400 2509471744000 2520462131200 2614519398400 2656179322880 2697682124800 2702508032000 2714343833600 2756755456000 2810608353280 2822917586944 2905196134400 2950589824000 3021403979776 3088580608000 3150577664000 3212123832320 3268149248000 3320224153600 3372102656000 3392929792000 3453033119744 3459210280960 3513260441600 3528646983680 3631495168000 3718651052032 3735027712000 3776754974720 3877634048000 4015154790400 4103077888000 4150280192000 4249886916608 4316291399680 4324012851200 4391575552000 4410808729600 4496973365248 4648313815040 4720943718400 5018943488000 5040924262400 5229038796800 5312358645760 5395364249600 5405016064000 5428687667200 5513510912000 5621216706560 5810392268800 5901179648000 6042807959552 6177161216000 6301155328000 6424247664640 6536298496000 6640448307200 6744205312000 6785859584000 6906066239488 7026520883200 7057293967360 7262990336000 7437302104064 7553509949440 8030309580800 8206155776000 8300560384000 8632582799360 8648025702400 8783151104000 8821617459200 8993946730496 9296627630080 9441887436800 10037886976000 10081848524800 10624717291520 10790728499200 10810032128000 11027021824000 11242433413120 11620784537600 11802359296000 12085615919104 12354322432000 12602310656000 13072596992000 13280896614400 13488410624000 13571719168000 13812132478976 14053041766400 14114587934720 14525980672000 14874604208128 15107019898880 16060619161600 16601120768000 17265165598720 17296051404800 17566302208000 17643234918400 18593255260160 18883774873600 20075773952000 21249434583040 21581456998400 21620064256000 22054043648000 22484866826240 23241569075200 23604718592000 24171231838208 25204621312000 26145193984000 26561793228800 26976821248000 27143438336000 27624264957952 28106083532800 29051961344000 29749208416256 30214039797760 32121238323200 33202241536000 34530331197440 35132604416000 35286469836800 37186510520320 37767549747200 40151547904000 43162913996800 43240128512000 44108087296000 44969733652480 46483138150400 47209437184000 48342463676416 50409242624000 53123586457600 53953642496000 55248529915904 56212167065600 58103922688000 60428079595520 66404483072000 69060662394880 70265208832000 70572939673600 74373021040640 75535099494400 80303095808000 86325827993600 86480257024000 88216174592000 92966276300800 94418874368000 96684927352832 106247172915200 107907284992000 112424334131200 116207845376000 120856159191040 132808966144000 138121324789760 140530417664000 148746042081280 151070198988800 160606191616000 172651655987200 176432349184000 185932552601600 188837748736000 193369854705664 215814569984000 224848668262400 232415690752000 241712318382080 265617932288000 276242649579520 281060835328000 302140397977600 345303311974400 352864698368000 371865105203200 377675497472000 386739709411328 431629139968000 464831381504000 483424636764160 531235864576000 562121670656000 604280795955200 690606623948800 743730210406400 755350994944000 863258279936000 929662763008000 966849273528320 1124243341312000 1208561591910400 1381213247897600 1510701989888000 1726516559872000 1859325526016000 1933698547056640 2417123183820800 3021403979776000 3453033119744000 3718651052032000 4834246367641600 6042807959552000 6906066239488000 9668492735283200 12085615919104000 24171231838208000 48342463676416000
- Sum of all divisors σ(n): 153151833357065088
- Sum of proper divisors (its aliquot sum) s(n): 104809369680649088
- 48342463676416000 is an abundant number, because the sum of its proper divisors (104809369680649088) is greater than itself. Its abundance is 56466906004233088
Bases of 48342463676416000
- Binary: 101010111011111100110110111011110000000000000000000000002
- Hexadecimal: 0xABBF36EF000000
- Base-36: D7ZZ183II9S
Squares and roots of 48342463676416000
- 48342463676416000 squared (483424636764160002) is 2336993794305600362754605056000000
- 48342463676416000 cubed (483424636764160003) is 112976037613228090598268047972311861559296000000000
-
The
square root of 48342463676416000 is 219869196.7430090013 -
The
cube root of 48342463676416000 is 364286.3736720143
Scales and comparisons
How big is 48342463676416000?- 48,342,463,676,416,000 seconds is equal to 1,537,140,811 years, 44 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 48,342,463,676,416,000 would take you about four billion, six hundred eleven million, four hundred twenty-two thousand, four hundred thirty-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 48342463676416000 cubic inches would be around 30357.2 feet tall.
Recreational maths with 48342463676416000
- 48342463676416000 backwards is 00061467636424384
- 48342463676416000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48342463676416000's digits is 64
- More coming soon!
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Cite this page
MLA style:
"Number 48342463676416000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 48342463676416000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/48342463676416000/
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The information we have on file for 48342463676416000 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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