13582839932928000
13,582,839,932,928,000 is an even composite number composed of five prime numbers multiplied together.
13582839932928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13582839932928000:
214 × 34 × 53 × 7 × 2273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 227 × 227 × 227)See below for interesting mathematical facts about the number 13582839932928000 from the Numbermatics database.
Names of 13582839932928000
- Cardinal: 13582839932928000 can be written as Thirteen quadrillion, five hundred eighty-two trillion, eight hundred thirty-nine billion, nine hundred thirty-two million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3582839932928 × 1016
Factors of 13582839932928000
Divisors of 13582839932928000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 227 240 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 454 480 500 504 512 525 540 560 567 576 600 630 640 648 672 675 681 700 720 750 756 768 800 810 840 864 875 896 900 908 945 960 1000 1008 1024 1050 1080 1120 1125 1134 1135 1152 1200 1260 1280 1296 1344 1350 1362 1400 1440 1500 1512 1536 1575 1589 1600 1620 1680 1728 1750 1792 1800 1816 1890 1920 2000 2016 2025 2043 2048 2100 2160 2240 2250 2268 2270 2304 2400 2520 2560 2592 2625 2688 2700 2724 2800 2835 2880 3000 3024 3072 3150 3178 3200 3240 3360 3375 3405 3456 3500 3584 3600 3632 3780 3840 4000 4032 4050 4086 4096 4200 4320 4480 4500 4536 4540 4608 4725 4767 4800 5040 5120 5184 5250 5376 5400 5448 5600 5670 5675 5760 6000 6048 6129 6144 6300 6356 6400 6480 6720 6750 6810 6912 7000 7168 7200 7264 7560 7680 7875 7945 8000 8064 8100 8172 8192 8400 8640 8960 9000 9072 9080 9216 9450 9534 9600 10080 10125 10215 10240 10368 10500 10752 10800 10896 11200 11340 11350 11520 12000 12096 12258 12288 12600 12712 12800 12960 13440 13500 13620 13824 14000 14175 14301 14336 14400 14528 15120 15360 15750 15890 16000 16128 16200 16344 16384 16800 17025 17280 17920 18000 18144 18160 18387 18432 18900 19068 19200 20160 20250 20430 20480 20736 21000 21504 21600 21792 22400 22680 22700 23040 23625 23835 24000 24192 24516 24576 25200 25424 25600 25920 26880 27000 27240 27648 28000 28350 28375 28602 28672 28800 29056 30240 30645 30720 31500 31780 32000 32256 32400 32688 33600 34050 34560 35840 36000 36288 36320 36774 36864 37800 38136 38400 39725 40320 40500 40860 40960 41472 42000 42903 43008 43200 43584 44800 45360 45400 46080 47250 47670 48000 48384 49032 49152 50400 50848 51075 51200 51529 51840 53760 54000 54480 55296 56000 56700 56750 57204 57344 57600 58112 60480 61290 61440 63000 63560 64000 64512 64800 65376 67200 68100 69120 70875 71505 71680 72000 72576 72640 73548 73728 75600 76272 76800 79450 80640 81000 81720 81920 82944 84000 85125 85806 86016 86400 87168 89600 90720 90800 91935 92160 94500 95340 96000 96768 98064 100800 101696 102150 102400 103058 103680 107520 108000 108960 110592 112000 113400 113500 114408 114688 115200 116224 119175 120960 122580 122880 126000 127120 128000 128709 129024 129600 130752 134400 136200 138240 141750 143010 143360 144000 145152 145280 147096 147456 151200 152544 153225 153600 154587 158900 161280 162000 163440 165888 168000 170250 171612 172032 172800 174336 179200 181440 181600 183870 184320 189000 190680 192000 193536 196128 198625 201600 203392 204300 204800 206116 207360 214515 215040 216000 217920 221184 224000 226800 227000 228816 230400 232448 238350 241920 245160 245760 252000 254240 255375 256000 257418 257645 258048 259200 261504 268800 272400 276480 283500 286020 286720 288000 290304 290560 294192 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3353787637760 3368759904000 3395709983232 3537197899200 3593343897600 3739768704000 3773011092480 3789854892000 3880811409408 3930219888000 3989086617600 4024545165312 4042511884800 4192234547200 4244637479040 4274021376000 4312012677120 4421497374000 4491679872000 4527613310976 4716263865600 4791125196800 4851014261760 4986358272000 5030681456640 5053139856000 5174415212544 5240293184000 5305796848800 5390015846400 5659516638720 5895329832000 5983629926400 5988906496000 6036817747968 6063767827200 6288351820800 6468019015680 6632246061000 6648477696000 6707575275520 6737519808000 6791419966464 7074395798400 7186687795200 7479537408000 7546022184960 7579709784000 7761622818816 7860439776000 8085023769600 8384469094400 8489274958080 8548042752000 8624025354240 8842994748000 8983359744000 9055226621952 9432527731200 9702028523520 9972716544000 10061362913280 10106279712000 10480586368000 10611593697600 10780031692800 11319033277440 11790659664000 11967259852800 11977812992000 12073635495936 12127535654400 12576703641600 12936038031360 13264492122000 13475039616000 13582839932928 14148791596800 14373375590400 14959074816000 15092044369920 15159419568000 15523245637632 15720879552000 16170047539200 16768938188800 16978549916160 17685989496000 17966719488000 18110453243904 18865055462400 19404057047040 19945433088000 20122725826560 20212559424000 20961172736000 21223187395200 21560063385600 22638066554880 23581319328000 23955625984000 24255071308800 25153407283200 25872076062720 26528984244000 26950079232000 27165679865856 28297583193600 29918149632000 30184088739840 30318839136000 31441759104000 32340095078400 33537876377600 33957099832320 35371978992000 35933438976000 36220906487808 37730110924800 38808114094080 40425118848000 41922345472000 42446374790400 43120126771200 45276133109760 47162638656000 48510142617600 50306814566400 53057968488000 53900158464000 54331359731712 56595166387200 59836299264000 60368177479680 60637678272000 62883518208000 64680190156800 67914199664640 70743957984000 71866877952000 75460221849600 77616228188160 80850237696000 83844690944000 84892749580800 90552266219520 94325277312000 97020285235200 100613629132800 106115936976000 107800316928000 108662719463424 113190332774400 121275356544000 125767036416000 129360380313600 135828399329280 141487915968000 150920443699200 161700475392000 167689381888000 169785499161600 181104532439040 188650554624000 194040570470400 212231873952000 215600633856000 226380665548800 242550713088000 251534072832000 271656798658560 282975831936000 301840887398400 323400950784000 339570998323200 377301109248000 388081140940800 424463747904000 452761331097600 485101426176000 503068145664000 543313597317120 565951663872000 646801901568000 679141996646400 754602218496000 848927495808000 905522662195200 970202852352000 1131903327744000 1358283993292800 1509204436992000 1697854991616000 1940405704704000 2263806655488000 2716567986585600 3395709983232000 4527613310976000 6791419966464000 13582839932928000
- Sum of all divisors σ(n): 58134190076202240
- Sum of proper divisors (its aliquot sum) s(n): 44551350143274240
- 13582839932928000 is an abundant number, because the sum of its proper divisors (44551350143274240) is greater than itself. Its abundance is 30968510210346240
Bases of 13582839932928000
- Binary: 1100000100000110000101010111010011111001000000000000002
- Hexadecimal: 0x3041855D3E4000
- Base-36: 3PQPQITJ400
Squares and roots of 13582839932928000
- 13582839932928000 squared (135828399329280002) is 184493540643543515538653184000000
- 13582839932928000 cubed (135828399329280003) is 2505946231220397846555289339554013642752000000000
-
The
square root of 13582839932928000 is 116545441.4935564951 -
The
cube root of 13582839932928000 is 238596.2027410923
Scales and comparisons
How big is 13582839932928000?- 13,582,839,932,928,000 seconds is equal to 431,892,295 years, 20 weeks.
-
To count from 1 to 13,582,839,932,928,000 would take you about one billion, two hundred ninety-five million, six hundred seventy-six thousand, eight hundred eighty-six 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 13582839932928000 cubic inches would be around 19883 feet tall.
Recreational maths with 13582839932928000
- 13582839932928000 backwards is 00082923993828531
- 13582839932928000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13582839932928000's digits is 72
- More coming soon!
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"Number 13582839932928000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 13582839932928000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13582839932928000/
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The information we have on file for 13582839932928000 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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