13980689408000
13,980,689,408,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13980689408000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
13980689408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13980689408000:
213 × 53 × 72 × 79 × 3527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 79 × 3527)See below for interesting mathematical facts about the number 13980689408000 from the Numbermatics database.
Names of 13980689408000
- Cardinal: 13980689408000 can be written as Thirteen trillion, nine hundred eighty billion, six hundred eighty-nine million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.3980689408 × 1013
Factors of 13980689408000
Divisors of 13980689408000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 79 80 98 100 112 125 128 140 158 160 175 196 200 224 245 250 256 280 316 320 350 392 395 400 448 490 500 512 553 560 632 640 700 784 790 800 875 896 980 1000 1024 1106 1120 1225 1264 1280 1400 1568 1580 1600 1750 1792 1960 1975 2000 2048 2212 2240 2450 2528 2560 2765 2800 3136 3160 3200 3500 3527 3584 3871 3920 3950 4000 4096 4424 4480 4900 5056 5120 5530 5600 6125 6272 6320 6400 7000 7054 7168 7742 7840 7900 8000 8192 8848 8960 9800 9875 10112 10240 11060 11200 12250 12544 12640 12800 13825 14000 14108 14336 15484 15680 15800 16000 17635 17696 17920 19355 19600 19750 20224 20480 22120 22400 24500 24689 25088 25280 25600 27650 28000 28216 28672 30968 31360 31600 32000 35270 35392 35840 38710 39200 39500 40448 40960 44240 44800 49000 49378 50176 50560 51200 55300 56000 56432 57344 61936 62720 63200 64000 69125 70540 70784 71680 77420 78400 79000 80896 88175 88480 89600 96775 98000 98756 100352 101120 102400 110600 112000 112864 123445 123872 125440 126400 128000 138250 141080 141568 143360 154840 156800 158000 161792 172823 176350 176960 179200 193550 196000 197512 200704 202240 204800 221200 224000 225728 246890 247744 250880 252800 256000 276500 278633 282160 283136 286720 309680 313600 316000 323584 345646 352700 353920 358400 387100 392000 395024 401408 404480 440875 442400 448000 451456 483875 493780 495488 501760 505600 512000 553000 557266 564320 566272 617225 619360 627200 632000 647168 691292 705400 707840 716800 774200 784000 790048 808960 864115 881750 884800 896000 902912 967750 987560 990976 1003520 1011200 1024000 1106000 1114532 1128640 1132544 1234450 1238720 1254400 1264000 1382584 1393165 1410800 1415680 1433600 1548400 1568000 1580096 1617920 1728230 1763500 1769600 1792000 1805824 1935500 1950431 1975120 1981952 2007040 2022400 2212000 2229064 2257280 2265088 2468900 2477440 2508800 2528000 2765168 2786330 2821600 2831360 3086125 3096800 3136000 3160192 3235840 3456460 3527000 3539200 3584000 3611648 3871000 3900862 3950240 3963904 4044800 4320575 4424000 4458128 4514560 4530176 4937800 4954880 5017600 5056000 5530336 5572660 5643200 5662720 6172250 6193600 6272000 6320384 6912920 6965825 7054000 7078400 7168000 7223296 7742000 7801724 7900480 7927808 8089600 8641150 8848000 8916256 9029120 9752155 9875600 9909760 10035200 10112000 11060672 11145320 11286400 11325440 12344500 12387200 12544000 12640768 13653017 13825840 13931650 14108000 14156800 14446592 15484000 15603448 15800960 15855616 16179200 17282300 17696000 17832512 18058240 19504310 19751200 19819520 20224000 21602875 22121344 22290640 22572800 22650880 24689000 24774400 25088000 25281536 27306034 27651680 27863300 28216000 28313600 28893184 30968000 31206896 31601920 31711232 34564600 34829125 35392000 35665024 36116480 39008620 39502400 39639040 40448000 43205750 44242688 44581280 45145600 48760775 49378000 49548800 50176000 50563072 54612068 55303360 55726600 56432000 56627200 61936000 62413792 63203840 68265085 69129200 69658250 70784000 71330048 72232960 78017240 79004800 79278080 80896000 86411500 88485376 89162560 90291200 97521550 98756000 99097600 101126144 109224136 110606720 111453200 112864000 113254400 123872000 124827584 126407680 136530170 138258400 139316500 141568000 142660096 144465920 156034480 158009600 158556160 172823000 176970752 178325120 180582400 195043100 197512000 198195200 202252288 218448272 221213440 222906400 225728000 243803875 247744000 249655168 252815360 273060340 276516800 278633000 283136000 285320192 312068960 316019200 341325425 345646000 353941504 356650240 361164800 390086200 395024000 396390400 436896544 442426880 445812800 451456000 487607750 495488000 499310336 505630720 546120680 553033600 557266000 566272000 570640384 624137920 632038400 682650850 691292000 707883008 713300480 722329600 780172400 790048000 792780800 873793088 884853760 891625600 902912000 975215500 990976000 998620672 1011261440 1092241360 1106067200 1114532000 1141280768 1248275840 1264076800 1365301700 1382584000 1415766016 1426600960 1560344800 1580096000 1706627125 1747586176 1769707520 1783251200 1805824000 1950431000 1981952000 1997241344 2184482720 2212134400 2229064000 2282561536 2496551680 2528153600 2730603400 2765168000 2853201920 3120689600 3160192000 3413254250 3495172352 3539415040 3566502400 3611648000 3900862000 3963904000 3994482688 4368965440 4424268800 4458128000 4993103360 5056307200 5461206800 5530336000 5706403840 6241379200 6320384000 6826508500 6990344704 7078830080 7133004800 7801724000 7988965376 8737930880 8848537600 8916256000 9986206720 10922413600 11060672000 11412807680 12482758400 12640768000 13653017000 13980689408 14266009600 15603448000 15977930752 17475861760 17697075200 17832512000 19972413440 21844827200 22121344000 24965516800 25281536000 27306034000 27961378816 28532019200 31206896000 34951723520 35394150400 35665024000 39944826880 43689654400 44242688000 49931033600 54612068000 55922757632 57064038400 62413792000 69903447040 71330048000 79889653760 87379308800 88485376000 99862067200 109224136000 111845515264 124827584000 139806894080 142660096000 174758617600 176970752000 199724134400 218448272000 249655168000 279613788160 285320192000 349517235200 399448268800 436896544000 499310336000 559227576320 699034470400 873793088000 998620672000 1398068940800 1747586176000 1997241344000 2796137881600 3495172352000 6990344704000 13980689408000
- Sum of all divisors σ(n): 41116055984640
- Sum of proper divisors (its aliquot sum) s(n): 27135366576640
- 13980689408000 is an abundant number, because the sum of its proper divisors (27135366576640) is greater than itself. Its abundance is 13154677168640
Bases of 13980689408000
- Binary: 110010110111001000100000011010100000000000002
- Hexadecimal: 0xCB72206A000
- Base-36: 4YEN1I3NK
Squares and roots of 13980689408000
- 13980689408000 squared (139806894080002) is 195459676322963390464000000
- 13980689408000 cubed (139806894080003) is 2732661026459562660231813005312000000000
-
The
square root of 13980689408000 is 3739076.0099254469 -
The
cube root of 13980689408000 is 24090.3362872527
Scales and comparisons
How big is 13980689408000?- 13,980,689,408,000 seconds is equal to 444,542 years, 35 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,980,689,408,000 would take you about one million, one hundred eleven thousand, three hundred fifty-six 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 13980689408000 cubic inches would be around 2007.5 feet tall.
Recreational maths with 13980689408000
- 13980689408000 backwards is 00080498608931
- 13980689408000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13980689408000's digits is 56
- More coming soon!
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