13264440768000
13,264,440,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13264440768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
13264440768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 13264440768000:
29 × 36 × 53 × 23 × 47 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 47 × 263)See below for interesting mathematical facts about the number 13264440768000 from the Numbermatics database.
Names of 13264440768000
- Cardinal: 13264440768000 can be written as Thirteen trillion, two hundred sixty-four billion, four hundred forty million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3264440768 × 1013
Factors of 13264440768000
Divisors of 13264440768000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 47 48 50 54 60 64 69 72 75 80 81 90 92 94 96 100 108 115 120 125 128 135 138 141 144 150 160 162 180 184 188 192 200 207 216 225 230 235 240 243 250 256 263 270 276 282 288 300 320 324 345 360 368 375 376 384 400 405 414 423 432 450 460 470 480 486 500 512 526 540 552 564 575 576 600 621 640 648 675 690 705 720 729 736 750 752 768 789 800 810 828 846 864 900 920 940 960 972 1000 1035 1052 1080 1081 1104 1125 1128 1150 1152 1175 1200 1215 1242 1269 1280 1296 1315 1350 1380 1410 1440 1458 1472 1500 1504 1536 1578 1600 1620 1656 1692 1725 1728 1800 1840 1863 1880 1920 1944 2000 2025 2070 2104 2115 2160 2162 2208 2250 2256 2300 2304 2350 2367 2400 2430 2484 2538 2560 2592 2630 2700 2760 2820 2875 2880 2916 2944 3000 3008 3105 3156 3200 3240 3243 3312 3375 3384 3450 3456 3525 3600 3645 3680 3726 3760 3807 3840 3888 3945 4000 4050 4140 4208 4230 4320 4324 4416 4500 4512 4600 4608 4700 4734 4800 4860 4968 5076 5175 5184 5260 5400 5405 5520 5589 5640 5750 5760 5832 5875 5888 6000 6016 6049 6075 6210 6312 6345 6400 6480 6486 6575 6624 6750 6768 6900 6912 7050 7101 7200 7290 7360 7452 7520 7614 7680 7776 7890 8000 8100 8280 8416 8460 8625 8640 8648 8832 9000 9024 9200 9315 9400 9468 9600 9720 9729 9936 10125 10152 10350 10368 10520 10575 10800 10810 11040 11178 11280 11421 11500 11520 11664 11750 11776 11835 12000 12032 12098 12150 12361 12420 12624 12690 12800 12960 12972 13150 13248 13500 13536 13800 13824 14100 14202 14400 14580 14720 14904 15040 15228 15525 15552 15780 16000 16200 16215 16560 16767 16832 16920 17250 17280 17296 17625 17664 18000 18048 18147 18225 18400 18630 18800 18936 19035 19200 19440 19458 19725 19872 20250 20304 20700 20736 21040 21150 21303 21600 21620 22080 22356 22560 22842 23000 23040 23328 23500 23670 24000 24064 24196 24300 24722 24840 25248 25380 25875 25920 25944 26300 26496 27000 27025 27072 27600 27945 28200 28404 28800 29160 29187 29440 29808 30080 30245 30375 30456 31050 31104 31560 31725 32000 32400 32430 32875 33120 33534 33664 33840 34263 34500 34560 34592 35250 35328 35505 36000 36096 36294 36450 36800 37083 37260 37600 37872 38070 38400 38880 38916 39450 39744 40500 40608 41400 41472 42080 42300 42606 43200 43240 44160 44712 45120 45684 46000 46575 46656 47000 47340 48000 48392 48600 48645 49444 49680 50496 50760 51750 51840 51888 52600 52875 52992 54000 54050 54144 54441 55200 55890 56400 56808 57105 57600 58320 58374 58880 59175 59616 60160 60490 60750 60912 61805 62100 62208 63120 63450 63909 64000 64800 64860 65750 66240 67068 67328 67680 68526 69000 69120 69184 70500 71010 72000 72192 72588 72900 73600 74166 74520 75200 75744 76140 77625 77760 77832 78900 79488 81000 81075 81216 82800 83835 84160 84600 85212 86400 86480 87561 88320 89424 90240 90735 91125 91368 92000 93150 93312 94000 94680 95175 96000 96784 97200 97290 98625 98888 99360 100992 101520 103500 103680 103776 105200 105750 105984 106515 108000 108100 108288 108882 110400 111249 111780 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302976 304560 309025 310500 311040 311328 315600 317250 317952 319545 324000 324300 324864 326646 331200 333747 335340 336640 338400 340848 342630 345600 345920 350244 355050 357696 360960 362940 364500 365472 368000 370830 372600 373248 376000 378720 380700 383454 387136 388800 389160 394500 395552 397440 403968 405375 406080 414000 415104 419175 420800 423000 426060 432000 432400 435528 437805 441600 444996 447120 451200 453675 454464 456840 465750 466560 466992 473400 475875 476928 483920 486000 486450 487296 489969 494440 496800 504960 507600 511272 518400 518880 525366 526000 529920 532575 536544 540500 541440 544410 548208 552000 553472 556245 558900 564000 568080 568606 571050 576000 580704 583200 583740 591750 593328 596160 601600 604900 605952 609120 618050 621000 622080 622656 631200 634500 639090 648000 648600 649728 653292 662400 667494 670680 673280 676800 681696 685260 691840 698625 700488 710100 715392 725880 729000 729675 730944 736000 741660 745200 752000 756125 757440 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30704724000 31358016000 32039712000 32751705600 33161101920 34542814500 35277768000 35371842048 36044676000 36845668800 38447654400 40939632000 41451377400 44214802560 46057086000 47037024000 48059568000 49127558400 50435136000 51814221750 53057763072 54586176000 55268503200 56444428800 57671481600 58953070080 61409448000 64079424000 66322203840 69085629000 70555536000 72089352000 73691337600 81879264000 82902754800 88429605120 92114172000 94074048000 96119136000 98255116800 103628443500 106115526144 110537006400 115342963200 122818896000 132644407680 138171258000 141111072000 144178704000 147382675200 163758528000 165805509600 176859210240 184228344000 192238272000 207256887000 221074012800 245637792000 265288815360 276342516000 282222144000 288357408000 294765350400 331611019200 368456688000 414513774000 442148025600 491275584000 530577630720 552685032000 576714816000 663222038400 736913376000 829027548000 884296051200 1105370064000 1326444076800 1473826752000 1658055096000 2210740128000 2652888153600 3316110192000 4421480256000 6632220384000 13264440768000
- Sum of all divisors σ(n): 53048950935552
- Sum of proper divisors (its aliquot sum) s(n): 39784510167552
- 13264440768000 is an abundant number, because the sum of its proper divisors (39784510167552) is greater than itself. Its abundance is 26520069399552
Bases of 13264440768000
- Binary: 110000010000010111100100011110110110000000002
- Hexadecimal: 0xC105E47B600
- Base-36: 4P9LLK000
Squares and roots of 13264440768000
- 13264440768000 squared (132644407680002) is 175945388887780429824000000
- 13264440768000 cubed (132644407680003) is 2333817189304688910390028664832000000000
-
The
square root of 13264440768000 is 3642037.9965069009 -
The
cube root of 13264440768000 is 23671.7109029463
Scales and comparisons
How big is 13264440768000?- 13,264,440,768,000 seconds is equal to 421,768 years, 9 weeks, 5 days.
-
To count from 1 to 13,264,440,768,000 would take you about one million, fifty-four thousand, four hundred twenty 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 13264440768000 cubic inches would be around 1972.6 feet tall.
Recreational maths with 13264440768000
- 13264440768000 backwards is 00086704446231
- 13264440768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13264440768000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 13264440768000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 13264440768000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13264440768000/
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The information we have on file for 13264440768000 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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