13189589504000
13,189,589,504,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13189589504000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
13189589504000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13189589504000:
212 × 53 × 72 × 13 × 37 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 37 × 1093)See below for interesting mathematical facts about the number 13189589504000 from the Numbermatics database.
Names of 13189589504000
- Cardinal: 13189589504000 can be written as Thirteen trillion, one hundred eighty-nine billion, five hundred eighty-nine million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.3189589504 × 1013
Factors of 13189589504000
Divisors of 13189589504000
- Number of divisors d(n): 1248
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 49 50 52 56 64 65 70 74 80 91 98 100 104 112 125 128 130 140 148 160 175 182 185 196 200 208 224 245 250 256 259 260 280 296 320 325 350 364 370 392 400 416 448 455 481 490 500 512 518 520 560 592 637 640 650 700 728 740 784 800 832 875 896 910 925 962 980 1000 1024 1036 1040 1093 1120 1184 1225 1274 1280 1295 1300 1400 1456 1480 1568 1600 1625 1664 1750 1792 1813 1820 1850 1924 1960 2000 2048 2072 2080 2186 2240 2275 2368 2405 2450 2548 2560 2590 2600 2800 2912 2960 3136 3185 3200 3250 3328 3367 3500 3584 3626 3640 3700 3848 3920 4000 4096 4144 4160 4372 4480 4550 4625 4736 4810 4900 5096 5120 5180 5200 5465 5600 5824 5920 6125 6272 6370 6400 6475 6500 6656 6734 7000 7168 7252 7280 7400 7651 7696 7840 8000 8288 8320 8744 8960 9065 9100 9250 9472 9620 9800 10192 10240 10360 10400 10930 11200 11375 11648 11840 12025 12250 12544 12740 12800 12950 13000 13312 13468 14000 14209 14336 14504 14560 14800 15302 15392 15680 15925 16000 16576 16640 16835 17488 17920 18130 18200 18500 18944 19240 19600 20384 20480 20720 20800 21860 22400 22750 23296 23569 23680 24050 24500 25088 25480 25600 25900 26000 26624 26936 27325 28000 28418 28672 29008 29120 29600 30604 30784 31360 31850 32000 32375 33152 33280 33670 34976 35840 36260 36400 37000 37888 38255 38480 39200 40441 40768 41440 41600 43720 44800 45325 45500 46592 47138 47360 48100 49000 50176 50960 51200 51800 52000 53248 53557 53872 54650 56000 56836 58016 58240 59200 60125 61208 61568 62720 63700 64000 64750 66304 66560 67340 69952 71045 71680 72520 72800 74000 75776 76510 76960 78400 79625 80882 81536 82880 83200 84175 87440 89600 90650 91000 93184 94276 94720 96200 98000 99463 100352 101920 102400 103600 104000 107114 107744 109300 112000 113672 116032 116480 117845 118400 120250 122416 123136 125440 127400 128000 129500 132608 133120 134680 136625 139904 142090 143360 145040 145600 148000 151552 153020 153920 156800 159250 161764 163072 165760 166400 168350 174880 179200 181300 182000 186368 188552 189440 191275 192400 196000 198926 200704 202205 203840 207200 208000 214228 215488 218600 224000 226625 227344 232064 232960 235690 236800 240500 244832 246272 250880 254800 256000 259000 265216 266240 267785 269360 273250 279808 283087 284180 290080 291200 296000 306040 307840 313600 318500 323528 326144 331520 332800 336700 349760 355225 358400 362600 364000 372736 377104 378880 382550 384800 392000 397852 404410 407680 414400 416000 420875 428456 430976 437200 448000 453250 454688 464128 465920 471380 473600 481000 489664 492544 497315 501760 509600 512000 518000 525733 530432 535570 538720 546500 559616 566174 568360 580160 582400 589225 592000 612080 615680 627200 637000 647056 652288 663040 665600 673400 696241 699520 710450 716800 725200 728000 754208 757760 765100 769600 784000 795704 808820 815360 828800 832000 841750 856912 861952 874400 896000 906500 909376 928256 931840 942760 947200 956375 962000 979328 985088 994630 1003520 1011025 1019200 1036000 1051466 1060864 1071140 1077440 1093000 1119232 1132348 1136720 1160320 1164800 1178450 1184000 1224160 1231360 1254400 1274000 1294112 1304576 1326080 1331200 1338925 1346800 1392482 1399040 1415435 1420900 1450400 1456000 1508416 1530200 1539200 1568000 1591408 1617640 1630720 1657600 1664000 1683500 1713824 1723904 1748800 1776125 1792000 1813000 1818752 1856512 1863680 1885520 1894400 1912750 1924000 1958656 1970176 1981609 1989260 2022050 2038400 2072000 2102932 2142280 2154880 2186000 2238464 2264696 2273440 2320640 2329600 2356900 2368000 2448320 2462720 2486575 2508800 2548000 2588224 2609152 2628665 2652160 2677850 2693600 2784964 2798080 2830870 2841800 2900800 2912000 2946125 3016832 3060400 3078400 3136000 3182816 3235280 3261440 3315200 3328000 3367000 3427648 3447808 3481205 3497600 3552250 3584000 3626000 3637504 3680131 3713024 3771040 3788800 3825500 3848000 3917312 3963218 3978520 4044100 4076800 4144000 4205864 4284560 4309760 4372000 4476928 4529392 4546880 4641280 4659200 4713800 4736000 4896640 4925440 4973150 5017600 5055125 5096000 5176448 5257330 5304320 5355700 5387200 5569928 5596160 5661740 5683600 5801600 5824000 5892250 6033664 6120800 6156800 6272000 6365632 6470560 6522880 6630400 6656000 6694625 6734000 6855296 6895616 6962410 6995200 7077175 7104500 7252000 7275008 7360262 7426048 7542080 7651000 7696000 7834624 7926436 7957040 8088200 8153600 8288000 8411728 8569120 8619520 8744000 9058784 9093760 9282560 9318400 9427600 9472000 9793280 9850880 9908045 9946300 10110250 10192000 10352896 10514660 10711400 10774400 11139856 11192320 11323480 11367200 11603200 11648000 11784500 12067328 12241600 12313600 12432875 12544000 12731264 12941120 13045760 13143325 13260800 13389250 13468000 13710592 13791232 13924820 13990400 14154350 14209000 14504000 14550016 14720524 15084160 15302000 15392000 15669248 15852872 15914080 16176400 16307200 16576000 16823456 17138240 17239040 17406025 17488000 18117568 18187520 18400655 18565120 18855200 18944000 19586560 19816090 19892600 20220500 20384000 20705792 21029320 21422800 21548800 22279712 22384640 22646960 22734400 23206400 23296000 23569000 24134656 24483200 24627200 24865750 25088000 25462528 25760917 25882240 26286650 26521600 26778500 26936000 27421184 27849640 27980800 28308700 28418000 29008000 29100032 29441048 30168320 30604000 30784000 31338496 31705744 31828160 32352800 32614400 33152000 33646912 34276480 34478080 34812050 34976000 35385875 36235136 36375040 36801310 37130240 37710400 39173120 39632180 39785200 40441000 40768000 41411584 42058640 42845600 43097600 44559424 45293920 45468800 46412800 46592000 47138000 48269312 48966400 49254400 49540225 49731500 50925056 51521834 51764480 52573300 53557000 53872000 54842368 55699280 55961600 56617400 56836000 58016000 58200064 58882096 60336640 61208000 61568000 63411488 63656320 64705600 65228800 65716625 66304000 67293824 68552960 68956160 69624100 69952000 70771750 72470272 72750080 73602620 75420800 78346240 79264360 79570400 80882000 81536000 82823168 84117280 85691200 86195200 87030125 89118848 90587840 90937600 92003275 92825600 94276000 96538624 97932800 99080450 99463000 101850112 103043668 103528960 105146600 107114000 107744000 109684736 111398560 111923200 113234800 113672000 116032000 117764192 120673280 122416000 123136000 126822976 127312640 128804585 129411200 131433250 132608000 134587648 137105920 139248200 139904000 141543500 144940544 145500160 147205240 150841600 156692480 158528720 159140800 161764000 163072000 165646336 168234560 171382400 172390400 174060250 178237696 181175680 181875200 184006550 185651200 188552000 195865600 198160900 198926000 203700224 206087336 207057920 210293200 214228000 215488000 219369472 222797120 226469600 227344000 232064000 235528384 241346560 244832000 246272000 247701125 253645952 254625280 257609170 258822400 262866500 269175296 274211840 278496400 279808000 283087000 289881088 291000320 294410480 301683200 317057440 318281600 323528000 326144000 336469120 342764800 344780800 348120500 356475392 362351360 363750400 368013100 377104000 391731200 396321800 397852000 407400448 412174672 414115840 420586400 428456000 430976000 445594240 452939200 454688000 460016375 464128000 471056768 482693120 489664000 495402250 507291904 509250560 515218340 517644800 525733000 538350592 548423680 556992800 559616000 566174000 579762176 588820960 603366400 634114880 636563200 644022925 647056000 672938240 685529600 696241000 712950784 724702720 727500800 736026200 754208000 783462400 792643600 795704000 824349344 828231680 841172800 856912000 861952000 891188480 905878400 909376000 920032750 928256000 942113536 979328000 990804500 1014583808 1018501120 1030436680 1035289600 1051466000 1076701184 1096847360 1113985600 1132348000 1159524352 1177641920 1206732800 1268229760 1273126400 1288045850 1294112000 1345876480 1371059200 1392482000 1425901568 1449405440 1455001600 1472052400 1508416000 1585287200 1591408000 1648698688 1682345600 1713824000 1723904000 1782376960 1811756800 1818752000 1840065500 1884227072 1958656000 1981609000 2029167616 2037002240 2060873360 2070579200 2102932000 2153402368 2227971200 2264696000 2355283840 2413465600 2536459520 2546252800 2576091700 2588224000 2691752960 2742118400 2784964000 2851803136 2898810880 2944104800 3016832000 3170574400 3182816000 3220114625 3297397376 3364691200 3427648000 3564753920 3623513600 3637504000 3680131000 3768454144 3917312000 3963218000 4058335232 4121746720 4141158400 4205864000 4455942400 4529392000 4710567680 5072919040 5092505600 5152183400 5176448000 5383505920 5484236800 5569928000 5797621760 5888209600 6033664000 6341148800 6365632000 6440229250 6594794752 6729382400 6855296000 7129507840 7247027200 7275008000 7360262000 7536908288 7926436000 8116670464 8243493440 8411728000 8911884800 9058784000 9421135360 10145838080 10185011200 10304366800 10352896000 10767011840 11139856000 11776419200 12067328000 12682297600 12731264000 12880458500 13189589504 13458764800 13710592000 14259015680 14494054400 14720524000 15073816576 15852872000 16486986880 16823456000 17823769600 18117568000 18842270720 20291676160 20608733600 20705792000 22279712000 23552838400 25364595200 25462528000 25760917000 26379179008 26917529600 27421184000 28988108800 29441048000 31705744000 32973973760 33646912000 35647539200 36235136000 37684541440 40583352320 41217467200 44559424000 47105676800 50729190400 50925056000 51521834000 52758358016 53835059200 58882096000 63411488000 65947947520 67293824000 71295078400 72470272000 75369082880 82434934400 89118848000 94211353600 101458380800 103043668000 105516716032 117764192000 126822976000 131895895040 134587648000 144940544000 164869868800 178237696000 188422707200 202916761600 206087336000 235528384000 253645952000 263791790080 269175296000 329739737600 356475392000 376845414400 412174672000 471056768000 507291904000 527583580160 659479475200 824349344000 942113536000 1014583808000 1318958950400 1648698688000 1884227072000 2637917900800 3297397376000 6594794752000 13189589504000
- Sum of all divisors σ(n): 42390187178976
- Sum of proper divisors (its aliquot sum) s(n): 29200597674976
- 13189589504000 is an abundant number, because the sum of its proper divisors (29200597674976) is greater than itself. Its abundance is 16011008170976
Bases of 13189589504000
- Binary: 101111111110111100001100110000010000000000002
- Hexadecimal: 0xBFEF0CC1000
- Base-36: 4OB7P1N28
Squares and roots of 13189589504000
- 13189589504000 squared (131895895040002) is 173965271284026966016000000
- 13189589504000 cubed (131895895040003) is 2294530516188314673817598296064000000000
-
The
square root of 13189589504000 is 3631747.4449636501 -
The
cube root of 13189589504000 is 23627.1003820755
Scales and comparisons
How big is 13189589504000?- 13,189,589,504,000 seconds is equal to 419,388 years, 7 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 13,189,589,504,000 would take you about one million, forty-eight thousand, four hundred seventy 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 13189589504000 cubic inches would be around 1968.9 feet tall.
Recreational maths with 13189589504000
- 13189589504000 backwards is 00040598598131
- The number of decimal digits it has is: 14
- The sum of 13189589504000's digits is 53
- More coming soon!
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The information we have on file for 13189589504000 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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