13085344993248000
13,085,344,993,248,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13085344993248000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3888 divisors.
13085344993248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 13085344993248000:
28 × 32 × 53 × 11 × 312 × 1372 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 31 × 31 × 137 × 137 × 229)See below for interesting mathematical facts about the number 13085344993248000 from the Numbermatics database.
Names of 13085344993248000
- Cardinal: 13085344993248000 can be written as Thirteen quadrillion, eighty-five trillion, three hundred forty-four billion, nine hundred ninety-three million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3085344993248 × 1016
Factors of 13085344993248000
Divisors of 13085344993248000
- Number of divisors d(n): 3888
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 55 60 62 64 66 72 75 80 88 90 93 96 99 100 110 120 124 125 128 132 137 144 150 155 160 165 176 180 186 192 198 200 220 225 229 240 248 250 256 264 274 275 279 288 300 310 320 330 341 352 360 372 375 384 396 400 411 440 450 458 465 480 495 496 500 528 548 550 558 576 600 620 640 660 682 685 687 704 720 744 750 768 775 792 800 822 825 880 900 916 930 960 961 990 992 1000 1023 1056 1096 1100 1116 1125 1145 1152 1200 1233 1240 1280 1320 1364 1370 1374 1375 1395 1408 1440 1488 1500 1507 1550 1584 1600 1644 1650 1705 1760 1800 1832 1860 1920 1922 1980 1984 2000 2046 2055 2061 2112 2192 2200 2232 2250 2290 2304 2325 2400 2466 2475 2480 2519 2640 2728 2740 2748 2750 2790 2816 2880 2883 2976 3000 3014 3069 3100 3168 3200 3288 3300 3410 3425 3435 3520 3600 3664 3720 3840 3844 3875 3960 3968 4000 4092 4110 4122 4125 4224 4247 4384 4400 4464 4500 4521 4580 4650 4800 4805 4932 4950 4960 5038 5115 5280 5456 5480 5496 5500 5580 5725 5760 5766 5952 6000 6028 6138 6165 6200 6336 6400 6576 6600 6820 6850 6870 6975 7040 7099 7200 7328 7440 7535 7557 7688 7750 7920 7936 8000 8184 8220 8244 8250 8448 8494 8525 8649 8768 8800 8928 9000 9042 9160 9300 9600 9610 9864 9900 9920 10076 10230 10275 10305 10560 10571 10912 10960 10992 11000 11160 11450 11520 11532 11625 11904 12000 12056 12276 12330 12375 12400 12595 12672 12741 13152 13200 13563 13640 13700 13740 13950 14080 14198 14400 14415 14656 14880 15070 15114 15345 15376 15500 15840 16000 16368 16440 16488 16500 16988 17050 17125 17175 17298 17536 17600 17856 18000 18084 18320 18600 18769 19200 19220 19728 19800 19840 20152 20460 20550 20610 21120 21142 21235 21297 21824 21920 21984 22000 22320 22605 22671 22900 23064 23250 23808 24000 24025 24112 24552 24660 24750 24800 25190 25344 25482 25575 26304 26400 27126 27280 27400 27480 27900 28396 28625 28800 28830 29312 29760 30140 30228 30690 30752 30825 31000 31373 31680 31713 32000 32736 32880 32976 33000 33976 34100 34250 34350 34596 34875 35072 35200 35495 35712 36000 36168 36640 37200 37538 37675 37785 38223 38440 39456 39600 39680 40304 40920 41100 41220 42240 42284 42470 42594 42625 43245 43648 43840 43968 44000 44640 45210 45342 45800 46128 46500 46717 48000 48050 48224 49104 49320 49500 49600 50380 50964 51150 51375 51525 52608 52800 52855 54252 54560 54800 54960 55800 56307 56792 57250 57600 57660 58624 59520 60280 60456 61380 61504 61650 62000 62746 62975 63360 63426 63705 63891 65472 65760 65952 66000 67815 67952 68200 68500 68700 69192 69750 70400 70990 71424 72000 72075 72336 73280 74400 75076 75350 75570 76446 76725 76880 78089 78912 79200 80608 81840 82200 82440 84568 84940 85188 85250 85875 86490 87296 87680 87936 88000 89280 90420 90684 91600 92256 93000 93434 93845 94119 95139 96000 96100 96448 98208 98640 99000 99200 100760 101928 102300 102750 103050 105216 105600 105710 106175 106485 108504 109120 109600 109920 111600 112614 113025 113355 113584 114500 115320 119040 120125 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39652560585600 40891703103900 42210790300800 43617816644160 45435225671000 46900878112000 47583072702720 47756733552000 49565700732000 51114628879875 52341379972992 52763487876000 54522270805200 57141244512000 58157088858880 59478840878400 65426724966240 66087600976000 68152838506500 70351317168000 72696361073600 74348551098000 79305121171200 81783406207800 84421580601600 87235633288320 90870451342000 95513467104000 99131401464000 102229257759750 104682759945984 105526975752000 109044541610400 118957681756800 130853449932480 132175201952000 136305677013000 140702634336000 145392722147200 148697102196000 163566812415600 174471266576640 181740902684000 198262802928000 204458515519500 211053951504000 218089083220800 237915363513600 261706899864960 272611354026000 290785444294400 297394204392000 327133624831200 363481805368000 396525605856000 408917031039000 422107903008000 436178166441600 523413799729920 545222708052000 594788408784000 654267249662400 726963610736000 817834062078000 872356332883200 1090445416104000 1189576817568000 1308534499324800 1453927221472000 1635668124156000 2180890832208000 2617068998649600 3271336248312000 4361781664416000 6542672496624000 13085344993248000
- Sum of all divisors σ(n): 53699446038682080
- Sum of proper divisors (its aliquot sum) s(n): 40614101045434080
- 13085344993248000 is an abundant number, because the sum of its proper divisors (40614101045434080) is greater than itself. Its abundance is 27528756052186080
Bases of 13085344993248000
- Binary: 1011100111110100001101010011000001011000000011000000002
- Hexadecimal: 0x2E7D0D4C160300
- Base-36: 3KUD8I3DTS0
Squares and roots of 13085344993248000
- 13085344993248000 squared (130853449932480002) is 171226253592320501165589504000000
- 13085344993248000 cubed (130853449932480003) is 2240554600156883444069292764348819668992000000000
-
The
square root of 13085344993248000 is 114391192.8132931045 -
The
cube root of 13085344993248000 is 235646.8972201453
Scales and comparisons
How big is 13085344993248000?- 13,085,344,993,248,000 seconds is equal to 416,073,495 years, 8 weeks, 16 hours.
-
To count from 1 to 13,085,344,993,248,000 would take you about one billion, two hundred forty-eight million, two hundred twenty thousand, four hundred eighty-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 13085344993248000 cubic inches would be around 19637.2 feet tall.
Recreational maths with 13085344993248000
- 13085344993248000 backwards is 00084239944358031
- The number of decimal digits it has is: 17
- The sum of 13085344993248000's digits is 63
- More coming soon!
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The information we have on file for 13085344993248000 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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