2013828231168000
2,013,828,231,168,000 is an even composite number composed of five prime numbers multiplied together.
2013828231168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 2013828231168000:
215 × 37 × 53 × 13 × 17293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17293)See below for interesting mathematical facts about the number 2013828231168000 from the Numbermatics database.
Names of 2013828231168000
- Cardinal: 2013828231168000 can be written as Two quadrillion, thirteen trillion, eight hundred twenty-eight billion, two hundred thirty-one million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.013828231168 × 1015
Factors of 2013828231168000
Divisors of 2013828231168000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 243 250 256 260 270 288 300 312 320 324 325 351 360 375 384 390 400 405 416 432 450 468 480 486 500 512 520 540 576 585 600 624 640 648 650 675 702 720 729 750 768 780 800 810 832 864 900 936 960 972 975 1000 1024 1040 1053 1080 1125 1152 1170 1200 1215 1248 1280 1296 1300 1350 1404 1440 1458 1500 1536 1560 1600 1620 1625 1664 1728 1755 1800 1872 1920 1944 1950 2000 2025 2048 2080 2106 2160 2187 2250 2304 2340 2400 2430 2496 2560 2592 2600 2700 2808 2880 2916 2925 3000 3072 3120 3159 3200 3240 3250 3328 3375 3456 3510 3600 3645 3744 3840 3888 3900 4000 4050 4096 4160 4212 4320 4374 4500 4608 4680 4800 4860 4875 4992 5120 5184 5200 5265 5400 5616 5760 5832 5850 6000 6075 6144 6240 6318 6400 6480 6500 6656 6750 6912 7020 7200 7290 7488 7680 7776 7800 8000 8100 8192 8320 8424 8640 8748 8775 9000 9216 9360 9477 9600 9720 9750 9984 10125 10240 10368 10400 10530 10800 10935 11232 11520 11664 11700 12000 12150 12288 12480 12636 12800 12960 13000 13312 13500 13824 14040 14400 14580 14625 14976 15360 15552 15600 15795 16000 16200 16384 16640 16848 17280 17293 17496 17550 18000 18225 18432 18720 18954 19200 19440 19500 19968 20250 20480 20736 20800 21060 21600 21870 22464 23040 23328 23400 24000 24300 24576 24960 25272 25600 25920 26000 26325 26624 27000 27648 28080 28431 28800 29160 29250 29952 30375 30720 31104 31200 31590 32000 32400 32768 33280 33696 34560 34586 34992 35100 36000 36450 36864 37440 37908 38400 38880 39000 39936 40500 40960 41472 41600 42120 43200 43740 43875 44928 46080 46656 46800 47385 48000 48600 49152 49920 50544 51200 51840 51879 52000 52650 53248 54000 54675 55296 56160 56862 57600 58320 58500 59904 60750 61440 62208 62400 63180 64000 64800 66560 67392 69120 69172 69984 70200 72000 72900 73728 74880 75816 76800 77760 78000 78975 79872 81000 81920 82944 83200 84240 86400 86465 87480 87750 89856 91125 92160 93312 93600 94770 96000 97200 98304 99840 101088 102400 103680 103758 104000 105300 106496 108000 109350 110592 112320 113724 115200 116640 117000 119808 121500 122880 124416 124800 126360 128000 129600 131625 133120 134784 138240 138344 139968 140400 142155 144000 145800 147456 149760 151632 153600 155520 155637 156000 157950 159744 162000 163840 165888 166400 168480 172800 172930 174960 175500 179712 182250 184320 186624 187200 189540 192000 194400 199680 202176 204800 207360 207516 208000 210600 212992 216000 218700 221184 224640 224809 227448 230400 233280 234000 236925 239616 243000 245760 248832 249600 252720 256000 259200 259395 263250 266240 269568 273375 276480 276688 279936 280800 284310 288000 291600 294912 299520 303264 307200 311040 311274 312000 315900 319488 324000 331776 332800 336960 345600 345860 349920 351000 359424 364500 368640 373248 374400 379080 384000 388800 394875 399360 404352 409600 414720 415032 416000 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124310384640 125864264448 127497830400 129091553280 129489984000 131108608800 134470368000 137697656832 138122649600 139849182720 143435059200 145676232000 149172461568 151279164000 154909863936 155387980800 157330330560 159372288000 161364441600 163885761000 165747179520 167819019264 172122071040 172653312000 174811478400 179293824000 184163532800 186465576960 191246745600 193637329920 194234976000 196662913200 198896615424 201705552000 206546485248 207183974400 209773774080 212496384000 215152588800 218514348000 223758692352 229496094720 230204416000 233081971200 239058432000 242046662400 245828641500 248620769280 251728528896 258183106560 258979968000 262217217600 268940736000 276245299200 279698365440 286870118400 291352464000 298344923136 302558328000 309819727872 310775961600 314660661120 318744576000 322728883200 327771522000 331494359040 335638038528 344244142080 345306624000 349622956800 358587648000 372931153920 382493491200 387274659840 388469952000 393325826400 403411104000 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1721220710400 1748114784000 1790069538816 1864655769600 1912467456000 1936373299200 1966629132000 2013828231168 2065464852480 2071839744000 2097737740800 2151525888000 2237586923520 2330819712000 2420466624000 2486207692800 2517285288960 2581831065600 2622172176000 2685104308224 2762452992000 2796983654400 2868701184000 2983449231360 3098197278720 3107759616000 3146606611200 3227288832000 3356380385280 3442441420800 3496229568000 3729311539200 3872746598400 3933258264000 4027656462336 4143679488000 4195475481600 4303051776000 4475173847040 4661639424000 4840933248000 4972415385600 5034570577920 5163662131200 5244344352000 5370208616448 5593967308800 5737402368000 6196394557440 6215519232000 6293213222400 6454577664000 6712760770560 6992459136000 7458623078400 7745493196800 7866516528000 8055312924672 8287358976000 8390950963200 8606103552000 8950347694080 9323278848000 9681866496000 10069141155840 10327324262400 10488688704000 11187934617600 12431038464000 12586426444800 12909155328000 13425521541120 13984918272000 14917246156800 15490986393600 15733033056000 16110625849344 16781901926400 17212207104000 18646557696000 19363732992000 20138282311680 20977377408000 22375869235200 24862076928000 25172852889600 25818310656000 26851043082240 27969836544000 30981972787200 31466066112000 33563803852800 37293115392000 38727465984000 40276564623360 41954754816000 44751738470400 50345705779200 51636621312000 55939673088000 62932132224000 67127607705600 74586230784000 77454931968000 80553129246720 83909509632000 100691411558400 111879346176000 125864264448000 134255215411200 154909863936000 167819019264000 201382823116800 223758692352000 251728528896000 335638038528000 402765646233600 503457057792000 671276077056000 1006914115584000 2013828231168000
- Sum of all divisors σ(n): 8118863431660800
- Sum of proper divisors (its aliquot sum) s(n): 6105035200492800
- 2013828231168000 is an abundant number, because the sum of its proper divisors (6105035200492800) is greater than itself. Its abundance is 4091206969324800
Bases of 2013828231168000
- Binary: 1110010011110010000111011000101101110000000000000002
- Hexadecimal: 0x72790EC5B8000
- Base-36: JTUBX1C000
Squares and roots of 2013828231168000
- 2013828231168000 squared (20138282311680002) is 4055504144649235646644224000000
- 2013828231168000 cubed (20138282311680003) is 8167088738113463034084750292923973632000000000
-
The
square root of 2013828231168000 is 44875697.5563388875 -
The
cube root of 2013828231168000 is 126281.8129791917
Scales and comparisons
How big is 2013828231168000?- 2,013,828,231,168,000 seconds is equal to 64,033,508 years, 29 weeks, 5 days.
-
To count from 1 to 2,013,828,231,168,000 would take you about one hundred ninety-two million, one hundred thousand, five hundred twenty-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 2013828231168000 cubic inches would be around 10523.5 feet tall.
Recreational maths with 2013828231168000
- 2013828231168000 backwards is 0008611328283102
- 2013828231168000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2013828231168000's digits is 45
- More coming soon!
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"Number 2013828231168000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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The information we have on file for 2013828231168000 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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