12838706137792512000
12,838,706,137,792,512,000 is an even composite number composed of five prime numbers multiplied together.
12838706137792512000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred eight divisors.
Prime factorization of 12838706137792512000:
222 × 33 × 53 × 37 × 49512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 37 × 4951 × 4951)See below for interesting mathematical facts about the number 12838706137792512000 from the Numbermatics database.
Names of 12838706137792512000
- Cardinal: 12838706137792512000 can be written as Twelve quintillion, eight hundred thirty-eight quadrillion, seven hundred six trillion, one hundred thirty-seven billion, seven hundred ninety-two million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.2838706137792512 × 1019
Factors of 12838706137792512000
Divisors of 12838706137792512000
- Number of divisors d(n): 2208
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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 32 36 37 40 45 48 50 54 60 64 72 74 75 80 90 96 100 108 111 120 125 128 135 144 148 150 160 180 185 192 200 216 222 225 240 250 256 270 288 296 300 320 333 360 370 375 384 400 432 444 450 480 500 512 540 555 576 592 600 640 666 675 720 740 750 768 800 864 888 900 925 960 999 1000 1024 1080 1110 1125 1152 1184 1200 1280 1332 1350 1440 1480 1500 1536 1600 1665 1728 1776 1800 1850 1920 1998 2000 2048 2160 2220 2250 2304 2368 2400 2560 2664 2700 2775 2880 2960 3000 3072 3200 3330 3375 3456 3552 3600 3700 3840 3996 4000 4096 4320 4440 4500 4608 4625 4736 4800 4951 4995 5120 5328 5400 5550 5760 5920 6000 6144 6400 6660 6750 6912 7104 7200 7400 7680 7992 8000 8192 8325 8640 8880 9000 9216 9250 9472 9600 9902 9990 10240 10656 10800 11100 11520 11840 12000 12288 12800 13320 13500 13824 13875 14208 14400 14800 14853 15360 15984 16000 16384 16650 17280 17760 18000 18432 18500 18944 19200 19804 19980 20480 21312 21600 22200 23040 23680 24000 24576 24755 24975 25600 26640 27000 27648 27750 28416 28800 29600 29706 30720 31968 32000 32768 33300 34560 35520 36000 36864 37000 37888 38400 39608 39960 40960 41625 42624 43200 44400 44559 46080 47360 48000 49152 49510 49950 51200 53280 54000 55296 55500 56832 57600 59200 59412 61440 63936 64000 65536 66600 69120 71040 72000 73728 74000 74265 75776 76800 79216 79920 81920 83250 85248 86400 88800 89118 92160 94720 96000 98304 99020 99900 102400 106560 108000 110592 111000 113664 115200 118400 118824 122880 123775 124875 127872 128000 131072 133200 133677 138240 142080 144000 147456 148000 148530 151552 153600 158432 159840 163840 166500 170496 172800 177600 178236 183187 184320 189440 192000 196608 198040 199800 204800 213120 216000 221184 222000 222795 227328 230400 236800 237648 245760 247550 249750 255744 256000 262144 266400 267354 276480 284160 288000 294912 296000 297060 303104 307200 316864 319680 327680 333000 340992 345600 355200 356472 366374 368640 371325 378880 384000 393216 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232181462272000 237753817366528 240966706790400 250755979253760 257031153909760 259315413811200 261204145056000 267473044537344 271087545139200 278617754726400 288128237568000 289160048148480 297192271708160 301208383488000 308437384691712 313444974067200 321288942387200 324144267264000 334341305671680 338859431424000 346992057778176 348272193408000 356630726049792 361450060185600 371490339635200 385546730864640 391806217584000 401209566806016 401611177984000 417926632089600 432192356352000 433740072222720 445788407562240 451812575232000 462656077037568 464362924544000 475507634733056 481933413580800 501511958507520 514062307819520 518630827622400 522408290112000 534946089074688 542175090278400 557235509452800 578320096296960 594384543416320 602416766976000 626889948134400 642577884774400 648288534528000 668682611343360 677718862848000 693984115556352 696544386816000 713261452099584 722900120371200 742980679270400 771093461729280 783612435168000 802419133612032 803222355968000 835853264179200 864384712704000 867480144445440 891576815124480 903625150464000 925312154075136 928725849088000 951015269466112 963866827161600 1003023917015040 1044816580224000 1069892178149376 1084350180556800 1114471018905600 1156640192593920 1188769086832640 1204833533952000 1253779896268800 1285155769548800 1296577069056000 1337365222686720 1355437725696000 1387968231112704 1393088773632000 1426522904199168 1445800240742400 1485961358540800 1542186923458560 1567224870336000 1604838267224064 1606444711936000 1671706528358400 1734960288890880 1783153630248960 1807250300928000 1857451698176000 1902030538932224 1927733654323200 2006047834030080 2089633160448000 2139784356298752 2168700361113600 2228942037811200 2313280385187840 2377538173665280 2409667067904000 2507559792537600 2570311539097600 2593154138112000 2674730445373440 2710875451392000 2775936462225408 2786177547264000 2853045808398336 2891600481484800 2971922717081600 3134449740672000 3209676534448128 3212889423872000 3343413056716800 3469920577781760 3566307260497920 3614500601856000 3714903396352000 3804061077864448 3855467308646400 4012095668060160 4179266320896000 4279568712597504 4337400722227200 4457884075622400 4626560770375680 4755076347330560 4819334135808000 5015119585075200 5349460890746880 5421750902784000 5572355094528000 5706091616796672 5783200962969600 5943845434163200 6268899481344000 6419353068896256 6425778847744000 6686826113433600 6939841155563520 7132614520995840 7229001203712000 7429806792704000 7710934617292800 8024191336120320 8358532641792000 8559137425195008 8674801444454400 8915768151244800 9510152694661120 9638668271616000 10030239170150400 10698921781493760 10843501805568000 11144710189056000 11412183233593344 11566401925939200 11887690868326400 12537798962688000 12838706137792512 12851557695488000 13373652226867200 13879682311127040 14265229041991680 14458002407424000 14859613585408000 16048382672240640 16717065283584000 17118274850390016 17349602888908800 17831536302489600 19020305389322240 19277336543232000 20060478340300800 21397843562987520 21687003611136000 22289420378112000 23132803851878400 23775381736652800 25075597925376000 25677412275585024 26747304453734400 28530458083983360 28916004814848000 29719227170816000 32096765344481280 33434130567168000 34236549700780032 34699205777817600 35663072604979200 38554673086464000 40120956680601600 42795687125975040 43374007222272000 44578840756224000 47550763473305600 50151195850752000 51354824551170048 53494608907468800 57060916167966720 57832009629696000 59438454341632000 64193530688962560 66868261134336000 69398411555635200 71326145209958400 80241913361203200 85591374251950080 86748014444544000 89157681512448000 95101526946611200 100302391701504000 102709649102340096 106989217814937600 115664019259392000 118876908683264000 128387061377925120 133736522268672000 142652290419916800 160483826722406400 171182748503900160 173496028889088000 178315363024896000 200604783403008000 213978435629875200 237753817366528000 256774122755850240 267473044537344000 285304580839833600 320967653444812800 346992057778176000 356630726049792000 401209566806016000 427956871259750400 475507634733056000 513548245511700480 534946089074688000 641935306889625600 713261452099584000 802419133612032000 855913742519500800 1069892178149376000 1283870613779251200 1426522904199168000 1604838267224064000 2139784356298752000 2567741227558502400 3209676534448128000 4279568712597504000 6419353068896256000 12838706137792512000
- Sum of all divisors σ(n): 48767626015032899520
- Sum of proper divisors (its aliquot sum) s(n): 35928919877240387520
- 12838706137792512000 is an abundant number, because the sum of its proper divisors (35928919877240387520) is greater than itself. Its abundance is 23090213739447875520
Bases of 12838706137792512000
- Binary: 10110010001011000011111100110101101111101100000000000000000000002
- Hexadecimal: 0xB22C3F35BEC00000
- Base-36: 2PJJ1HSLKFEO0
Squares and roots of 12838706137792512000
- 12838706137792512000 squared (128387061377925120002) is 164832375292591120125720363270144000000
- 12838706137792512000 cubed (128387061377925120003) is 2116234428375908419997672213255342058209676361728000000000
-
The
square root of 12838706137792512000 is 3583114028.0198329183 -
The
cube root of 12838706137792512000 is 2341569.6810916245
Scales and comparisons
How big is 12838706137792512000?- 12,838,706,137,792,512,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,838,706,137,792,512,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12838706137792512000 cubic inches would be around 195130.8 feet tall.
Recreational maths with 12838706137792512000
- 12838706137792512000 backwards is 00021529773160783821
- 12838706137792512000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 12838706137792512000's digits is 72
- More coming soon!
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"Number 12838706137792512000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 12838706137792512000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/12838706137792512000/
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Numbermatics. 2024. "Number 12838706137792512000 - Facts about the integer". https://numbermatics.com/n/12838706137792512000/
The information we have on file for 12838706137792512000 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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