13311506208000
13,311,506,208,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13311506208000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
13311506208000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13311506208000:
28 × 3 × 53 × 73 × 112 × 13 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 257)See below for interesting mathematical facts about the number 13311506208000 from the Numbermatics database.
Names of 13311506208000
- Cardinal: 13311506208000 can be written as Thirteen trillion, three hundred eleven billion, five hundred six million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.3311506208 × 1013
Factors of 13311506208000
Divisors of 13311506208000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 49 50 52 55 56 60 64 65 66 70 75 77 78 80 84 88 91 96 98 100 104 105 110 112 120 121 125 128 130 132 140 143 147 150 154 156 160 165 168 175 176 182 192 195 196 200 208 210 220 224 231 240 242 245 250 256 257 260 264 273 275 280 286 294 300 308 312 320 325 330 336 343 350 352 363 364 375 384 385 390 392 400 416 420 429 440 448 455 462 480 484 490 500 514 520 525 528 539 546 550 560 572 588 600 605 616 624 637 640 650 660 672 686 700 704 715 726 728 735 750 768 770 771 780 784 800 825 832 840 847 858 875 880 896 910 924 960 968 975 980 1000 1001 1028 1029 1040 1050 1056 1078 1092 1100 1120 1144 1155 1176 1200 1210 1225 1232 1248 1274 1280 1285 1300 1320 1344 1365 1372 1375 1400 1408 1430 1452 1456 1470 1500 1540 1542 1560 1568 1573 1600 1617 1625 1650 1664 1680 1694 1715 1716 1750 1760 1792 1799 1815 1820 1848 1911 1920 1925 1936 1950 1960 2000 2002 2056 2058 2080 2100 2112 2145 2156 2184 2200 2240 2275 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2750311200 2773230460 2820832000 2829827000 2881278400 2908983000 2925605760 2971318350 2985312000 3025342320 3047506000 3087084000 3102915200 3143212800 3151398250 3169406240 3199881300 3227031808 3234088000 3237234000 3324552000 3327876552 3395792400 3413206720 3437889000 3453049600 3457534080 3466538075 3482864000 3528096000 3601598000 3622178560 3657007200 3667081600 3699696000 3723498240 3781677900 3803287488 3878644000 3880905600 3929016000 3961757800 3984288000 3999851625 4033789760 4095848064 4116112000 4159845690 4179436800 4231248000 4244740500 4266508400 4316312000 4321917600 4400497920 4432736000 4437168736 4527723200 4571259000 4583852000 4654372800 4708704000 4727097375 4754109360 4840547712 4851132000 4876009600 4939334400 4952197250 5042237200 5071049984 5119810080 5179574400 5224296000 5238688000 5333135500 5402397000 5433267840 5500622400 5546460920 5659654000 5762556800 5817966000 5851211520 5942636700 6050684640 6095012000 6174168000 6205830400 6302796500 6338812480 6399762600 6468176000 6474468000 6649104000 6655753104 6791584800 6826413440 6875778000 6915068160 6933076150 6965728000 7203196000 7314014400 7334163200 7399392000 7428295875 7563355800 7606574976 7757288000 7761811200 7858032000 7923515600 7999703250 8067579520 8191696128 8232224000 8319691380 8462496000 8489481000 8533016800 8632624000 8643835200 8874337472 9055446400 9142518000 9167704000 9308745600 9454194750 9508218720 9681095424 9702264000 9752019200 9904394500 10084474400 10239620160 10359148800 10399614225 10448592000 10666271000 10804794000 10866535680 11001244800 11092921840 11319308000 11525113600 11635932000 11885273400 12101369280 12190024000 12348336000 12605593000 12677624960 12799525200 12936352000 12948936000 13298208000 13311506208 13583169600 13652826880 13751556000 13866152300 14406392000 14628028800 14856591750 15126711600 15213149952 15514576000 15716064000 15847031200 15999406500 16135159040 16639382760 16978962000 17066033600 17265248000 17287670400 17332690375 17748674944 18110892800 18285036000 18335408000 18617491200 18908389500 19016437440 19404528000 19808789000 20168948800 20479240320 20799228450 20897184000 21332542000 21609588000 22002489600 22185843680 22638616000 23271864000 23770546800 24202738560 24380048000 24696672000 25211186000 25355249920 25599050400 25897872000 26623012416 27166339200 27503112000 27732304600 28812784000 29256057600 29713183500 30253423200 31029152000 31694062400 31998813000 33278765520 33957924000 34132067200 34575340800 34665380750 35497349888 36570072000 36670816000 37816779000 38032874880 38809056000 39617578000 40337897600 40958480640 41598456900 42665084000 43219176000 44371687360 45277232000 46543728000 47541093600 48405477120 48760096000 50422372000 51198100800 51795744000 51998071125 53246024832 54332678400 55006224000 55464609200 57625568000 59426367000 60506846400 63388124800 63997626000 66557531040 67915848000 68264134400 69330761500 73140144000 75633558000 76065749760 79235156000 80675795200 83196913800 85330168000 86438352000 88743374720 90554464000 93087456000 95082187200 100844744000 102396201600 103996142250 106492049664 110012448000 110929218400 118852734000 121013692800 126776249600 127995252000 133115062080 135831696000 138661523000 146280288000 151267116000 158470312000 166393827600 170660336000 172876704000 177486749440 190164374400 201689488000 204792403200 207992284500 221858436800 237705468000 242027385600 255990504000 266230124160 271663392000 277323046000 302534232000 316940624000 332787655200 341320672000 380328748800 403378976000 415984569000 443716873600 475410936000 511981008000 532460248320 554646092000 605068464000 633881248000 665575310400 831969138000 887433747200 950821872000 1023962016000 1109292184000 1210136928000 1331150620800 1663938276000 1901643744000 2218584368000 2662301241600 3327876552000 4437168736000 6655753104000 13311506208000
- Sum of all divisors σ(n): 61272396057600
- Sum of proper divisors (its aliquot sum) s(n): 47960889849600
- 13311506208000 is an abundant number, because the sum of its proper divisors (47960889849600) is greater than itself. Its abundance is 34649383641600
Bases of 13311506208000
- Binary: 110000011011010100111001100101010101000000002
- Hexadecimal: 0xC1B53995500
- Base-36: 4PV7Z3PXC
Squares and roots of 13311506208000
- 13311506208000 squared (133115062080002) is 177196197525622539264000000
- 13311506208000 cubed (133115062080003) is 2358748283396318670477459750912000000000
-
The
square root of 13311506208000 is 3648493.6902782223 -
The
cube root of 13311506208000 is 23699.6755033995
Scales and comparisons
How big is 13311506208000?- 13,311,506,208,000 seconds is equal to 423,264 years, 37 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,311,506,208,000 would take you about one million, fifty-eight thousand, one hundred sixty-one 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 13311506208000 cubic inches would be around 1975 feet tall.
Recreational maths with 13311506208000
- 13311506208000 backwards is 00080260511331
- 13311506208000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13311506208000's digits is 30
- More coming soon!
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"Number 13311506208000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 13311506208000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13311506208000/
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The information we have on file for 13311506208000 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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