12984739315392000
12,984,739,315,392,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12984739315392000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
12984739315392000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 12984739315392000:
29 × 3 × 53 × 13 × 37 × 412 × 83641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 37 × 41 × 41 × 83641)See below for interesting mathematical facts about the number 12984739315392000 from the Numbermatics database.
Names of 12984739315392000
- Cardinal: 12984739315392000 can be written as Twelve quadrillion, nine hundred eighty-four trillion, seven hundred thirty-nine billion, three hundred fifteen million, three hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.2984739315392 × 1016
Factors of 12984739315392000
Divisors of 12984739315392000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 48 50 52 60 64 65 74 75 78 80 82 96 100 104 111 120 123 125 128 130 148 150 156 160 164 185 192 195 200 205 208 222 240 246 250 256 260 296 300 312 320 325 328 370 375 384 390 400 410 416 444 480 481 492 500 512 520 533 555 592 600 615 624 640 650 656 740 750 768 780 800 820 832 888 925 960 962 975 984 1000 1025 1040 1066 1110 1184 1200 1230 1248 1280 1300 1312 1443 1480 1500 1517 1536 1560 1599 1600 1625 1640 1664 1681 1776 1850 1920 1924 1950 1968 2000 2050 2080 2132 2220 2368 2400 2405 2460 2496 2560 2600 2624 2665 2775 2886 2960 3000 3034 3075 3120 3198 3200 3250 3280 3328 3362 3552 3700 3840 3848 3900 3936 4000 4100 4160 4264 4440 4551 4625 4736 4800 4810 4875 4920 4992 5043 5125 5200 5248 5330 5550 5772 5920 6000 6068 6150 6240 6396 6400 6500 6560 6656 6724 7104 7215 7400 7585 7680 7696 7800 7872 7995 8000 8200 8320 8405 8528 8880 9102 9250 9472 9600 9620 9750 9840 9984 10086 10250 10400 10496 10660 11100 11544 11840 12000 12025 12136 12300 12480 12792 12800 13000 13120 13325 13448 13875 14208 14430 14800 15170 15375 15392 15600 15744 15990 16000 16400 16640 16810 17056 17760 18204 18500 18944 19200 19240 19500 19680 19721 19968 20172 20500 20800 20992 21320 21853 22200 22755 23088 23680 24000 24050 24272 24600 24960 25215 25584 26000 26240 26650 26896 27750 28416 28860 29600 30340 30750 30784 31200 31488 31980 32000 32800 33280 33620 34112 35520 36075 36408 37000 37925 38400 38480 39000 39360 39442 39975 40344 41000 41600 42025 42640 43706 44400 45510 46176 47360 48000 48100 48544 49200 49920 50430 51168 52000 52480 53300 53792 55500 56832 57720 59163 59200 60125 60680 61500 61568 62197 62400 62976 63960 64000 65559 65600 66625 67240 68224 71040 72150 72816 74000 75850 76960 78000 78720 78884 79950 80688 82000 83200 83641 84050 85280 87412 88800 91020 92352 94720 96000 96200 97088 98400 98605 99840 100860 102336 104000 104960 106600 107584 109265 111000 113775 115440 118326 118400 120250 121360 123000 123136 124394 124800 126075 127920 131118 131200 133250 134480 136448 142080 144300 145632 148000 151700 153920 156000 157440 157768 159900 161376 164000 166400 167282 168100 170560 174824 177600 180375 182040 184704 186591 189625 192000 192400 194176 196800 197210 199875 201720 204672 208000 210125 213200 215168 218530 222000 227550 230880 236652 236800 240500 242720 246000 246272 248788 249600 250923 252150 255840 262236 262400 266500 268960 272896 284160 288600 291264 295815 296000 303400 307840 310985 312000 314880 315536 319800 322752 327795 328000 334564 336200 341120 349648 355200 360750 364080 369408 373182 379250 384800 388352 393600 394420 399750 403440 409344 416000 418205 420250 426400 430336 437060 444000 455100 461760 473304 473600 481000 485440 492000 493025 497576 499200 501846 504300 511680 524472 524800 533000 537920 546325 568875 577200 582528 591630 592000 606800 615680 621970 624000 630375 631072 639600 645504 655590 656000 669128 672400 682240 699296 710400 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3509389004160 3655613546000 3862206816000 3901664457750 3958761986400 3995304404736 4057731036060 4060268704000 4161775421600 4222679452160 4279742688000 4328246438464 4386736255200 4499216672000 4679185338880 4872322444800 4948452483000 4994130505920 5072163795075 5202219277000 5278349315200 5399060006400 5410308048080 5483420319000 5848981673600 6090403056000 6242663132400 6334019178240 6492369657696 6597936644000 6658840674560 6748825008000 6762885060100 7018778008320 7311227092000 7724413632000 7803328915500 7917523972800 7990608809472 8115462072120 8120537408000 8323550843200 8453606325125 8559485376000 8656492876928 8773472510400 8998433344000 9896904966000 9988261011840 10144327590150 10404438554000 10556698630400 10820616096160 10966840638000 11697963347200 12180806112000 12485326264800 12668038356480 12984739315392 13195873288000 13317681349120 13497650016000 13525770120200 14037556016640 14622454184000 15606657831000 15835047945600 16230924144240 16647101686400 16907212650250 17312985753856 17546945020800 19793809932000 19976522023680 20288655180300 20808877108000 21113397260800 21641232192320 21933681276000 23395926694400 24361612224000 24970652529600 25360818975375 25969478630784 26391746576000 26995300032000 27051540240400 29244908368000 31213315662000 31670095891200 32461848288480 33294203372800 33814425300500 34625971507712 35093890041600 39587619864000 39953044047360 40577310360600 41617754216000 43282464384640 43867362552000 49941305059200 50721637950750 51938957261568 52783493152000 54103080480800 58489816736000 62426631324000 63340191782400 64923696576960 66588406745600 67628850601000 70187780083200 79175239728000 81154620721200 83235508432000 86564928769280 87734725104000 99882610118400 101443275901500 103877914523136 105566986304000 108206160961600 116979633472000 124853262648000 129847393153920 135257701202000 158350479456000 162309241442400 166471016864000 173129857538560 175469450208000 199765220236800 202886551803000 216412321923200 249706525296000 259694786307840 270515402404000 316700958912000 324618482884800 332942033728000 350938900416000 405773103606000 432824643846400 499413050592000 519389572615680 541030804808000 649236965769600 811546207212000 865649287692800 998826101184000 1082061609616000 1298473931539200 1623092414424000 2164123219232000 2596947863078400 3246184828848000 4328246438464000 6492369657696000 12984739315392000
- Sum of all divisors σ(n): 48941980765501824
- Sum of proper divisors (its aliquot sum) s(n): 35957241450109824
- 12984739315392000 is an abundant number, because the sum of its proper divisors (35957241450109824) is greater than itself. Its abundance is 22972502134717824
Bases of 12984739315392000
- Binary: 1011100010000110001101001101100110010100011110000000002
- Hexadecimal: 0x2E218D36651E00
- Base-36: 3JUPEW4CLXC
Squares and roots of 12984739315392000
- 12984739315392000 squared (129847393153920002) is 168603455088686704848113664000000
- 12984739315392000 cubed (129847393153920003) is 2189271912000999622553867784829960716288000000000
-
The
square root of 12984739315392000 is 113950600.3292303853 -
The
cube root of 12984739315392000 is 235041.4251124959
Scales and comparisons
How big is 12984739315392000?- 12,984,739,315,392,000 seconds is equal to 412,874,545 years, 41 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 12,984,739,315,392,000 would take you about one billion, two hundred thirty-eight million, six hundred twenty-three thousand, six hundred thirty-seven 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 12984739315392000 cubic inches would be around 19586.8 feet tall.
Recreational maths with 12984739315392000
- 12984739315392000 backwards is 00029351393748921
- The number of decimal digits it has is: 17
- The sum of 12984739315392000's digits is 66
- More coming soon!
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MLA style:
"Number 12984739315392000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 12984739315392000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12984739315392000/
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Numbermatics. 2024. "Number 12984739315392000 - Facts about the integer". https://numbermatics.com/n/12984739315392000/
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