13741914368000
13,741,914,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13741914368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13741914368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13741914368000:
211 × 53 × 72 × 13 × 17 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 4957)See below for interesting mathematical facts about the number 13741914368000 from the Numbermatics database.
Names of 13741914368000
- Cardinal: 13741914368000 can be written as Thirteen trillion, seven hundred forty-one billion, nine hundred fourteen million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3741914368 × 1013
Factors of 13741914368000
Divisors of 13741914368000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 119 125 128 130 136 140 160 170 175 182 196 200 208 221 224 238 245 250 256 260 272 280 320 325 340 350 364 392 400 416 425 442 448 455 476 490 500 512 520 544 560 595 637 640 650 680 700 728 784 800 832 833 850 875 884 896 910 952 980 1000 1024 1040 1088 1105 1120 1190 1225 1274 1280 1300 1360 1400 1456 1547 1568 1600 1625 1664 1666 1700 1750 1768 1792 1820 1904 1960 2000 2048 2080 2125 2176 2210 2240 2275 2380 2450 2548 2560 2600 2720 2800 2912 2975 3094 3136 3185 3200 3250 3328 3332 3400 3500 3536 3584 3640 3808 3920 4000 4160 4165 4250 4352 4420 4480 4550 4760 4900 4957 5096 5120 5200 5440 5525 5600 5824 5950 6125 6188 6272 6370 6400 6500 6656 6664 6800 7000 7072 7168 7280 7616 7735 7840 8000 8320 8330 8500 8704 8840 8960 9100 9520 9800 9914 10192 10240 10400 10829 10880 11050 11200 11375 11648 11900 12250 12376 12544 12740 12800 13000 13312 13328 13600 14000 14144 14336 14560 14875 15232 15470 15680 15925 16000 16640 16660 17000 17408 17680 17920 18200 19040 19600 19828 20384 20800 20825 21658 21760 22100 22400 22750 23296 23800 24500 24752 24785 25088 25480 25600 26000 26624 26656 27200 27625 28000 28288 29120 29750 30464 30940 31360 31850 32000 33280 33320 34000 34699 34816 35360 35840 36400 38080 38675 39200 39656 40768 41600 41650 43316 43520 44200 44800 45500 46592 47600 49000 49504 49570 50176 50960 51200 52000 53312 54145 54400 55250 56000 56576 58240 59500 60928 61880 62720 63700 64000 64441 66560 66640 68000 69398 70720 71680 72800 76160 77350 78400 79312 79625 81536 83200 83300 84269 86632 87040 88400 89600 91000 93184 95200 98000 99008 99140 100352 101920 104000 104125 106624 108290 108800 110500 112000 113152 116480 119000 121856 123760 123925 125440 127400 128000 128882 133120 133280 136000 138796 141440 145600 152320 154700 156800 158624 159250 163072 166400 166600 168538 173264 173495 174080 176800 179200 182000 186368 190400 193375 196000 198016 198280 203840 208000 208250 213248 216580 217600 221000 224000 226304 232960 238000 242893 243712 247520 247850 250880 254800 256000 257764 266560 270725 272000 277592 282880 291200 304640 309400 313600 317248 318500 322205 326144 332800 333200 337076 346528 346990 353600 358400 364000 380800 386750 392000 396032 396560 407680 416000 416500 421345 426496 433160 435200 442000 448000 451087 452608 465920 476000 485786 495040 495700 501760 509600 515528 533120 541450 544000 555184 565760 582400 589883 609280 618800 619625 627200 634496 637000 644410 652288 665600 666400 674152 693056 693980 707200 728000 761600 773500 784000 792064 793120 815360 832000 833000 842690 852992 866320 867475 870400 884000 896000 902174 931840 952000 971572 990080 991400 1019200 1031056 1066240 1082900 1088000 1095497 1110368 1131520 1164800 1179766 1214465 1218560 1237600 1239250 1254400 1268992 1274000 1288820 1304576 1332800 1348304 1353625 1386112 1387960 1414400 1456000 1523200 1547000 1568000 1584128 1586240 1611025 1630720 1664000 1666000 1685380 1705984 1732640 1734950 1768000 1792000 1804348 1904000 1943144 1980160 1982800 2038400 2062112 2106725 2132480 2165800 2176000 2190994 2220736 2255435 2263040 2329600 2359532 2428930 2475200 2478500 2508800 2537984 2548000 2577640 2665600 2696608 2707250 2772224 2775920 2828800 2912000 2949415 3046400 3094000 3136000 3157609 3168256 3172480 3222050 3261440 3328000 3332000 3370760 3465280 3469900 3536000 3608696 3808000 3886288 3960320 3965600 4076800 4124224 4129181 4213450 4264960 4331600 4337375 4352000 4381988 4441472 4510870 4659200 4719064 4857860 4950400 4957000 5075968 5096000 5155280 5331200 5393216 5414500 5477485 5544448 5551840 5657600 5824000 5898830 6072325 6092800 6188000 6272000 6315218 6344960 6444100 6522880 6664000 6741520 6930560 6939800 7072000 7217392 7616000 7668479 7772576 7920640 7931200 8055125 8153600 8248448 8258362 8426900 8529920 8663200 8674750 8763976 8882944 9021740 9438128 9715720 9900800 9914000 10151936 10192000 10310560 10533625 10662400 10786432 10829000 10954970 11088896 11103680 11277175 11315200 11648000 11797660 12144650 12376000 12544000 12630436 12689920 12888200 13328000 13483040 13861120 13879600 14144000 14434784 14747075 15232000 15336958 15545152 15788045 15841280 15862400 16110250 16307200 16496896 16516724 16853800 17326400 17349500 17527952 17765888 18043480 18876256 19431440 19801600 19828000 20384000 20621120 20645905 21067250 21324800 21572864 21658000 21909940 22177792 22207360 22554350 23296000 23595320 24289300 24752000 25260872 25379840 25776400 26656000 26966080 27387425 27722240 27759200 28288000 28869568 29494150 30361625 30464000 30673916 31090304 31576090 31724800 32220500 32614400 32993792 33033448 33707600 34652800 34699000 35055904 35531776 36086960 37752512 38342395 38862880 39603200 39656000 40768000 41242240 41291810 42134500 42649600 43145728 43316000 43819880 44414720 45108700 47190640 48578600 49504000 50521744 50759680 51552800 53312000 53679353 53932160 54774850 55444480 55518400 56385875 56576000 57739136 58988300 60723250 61347832 62180608 63152180 63449600 64441000 65987584 66066896 67415200 69305600 69398000 70111808 71063552 72173920 73735375 75505024 76684790 77725760 78940225 79206400 79312000 81536000 82484480 82583620 84269000 86291456 86632000 87639760 88829440 90217400 94381280 97157200 99008000 101043488 103105600 103229525 106624000 107358706 107864320 109549700 110888960 111036800 112771750 115478272 117976600 121446500 122695664 124361216 126304360 126899200 128882000 131975168 132133792 134830400 136937125 138611200 138796000 140223616 144347840 147470750 151010048 153369580 155451520 157880450 158624000 163072000 164968960 165167240 168538000 172582912 173264000 175279520 177658880 180434800 188762560 191711975 194314400 198016000 202086976 206211200 206459050 213248000 214717412 215728640 219099400 222073600 225543500 230956544 235953200 242893000 245391328 248722432 252608720 253798400 257764000 264267584 268396765 269660800 273874250 277222400 277592000 280447232 288695680 294941500 302020096 306739160 310903040 315760900 317248000 329937920 330334480 337076000 346528000 350559040 355317760 360869600 377525120 383423950 388628800 394701125 396032000 404173952 412422400 412918100 429434824 431457280 438198800 444147200 451087000 461913088 471906400 485786000 490782656 497444864 505217440 515528000 516147625 528535168 536793530 539321600 547748500 554444800 555184000 560894464 577391360 589883000 604040192 613478320 621806080 631521800 634496000 659875840 660668960 674152000 693056000 701118080 721739200 755050240 766847900 777257600 789402250 808347904 824844800 825836200 858869648 862914560 876397600 888294400 902174000 923826176 943812800 958559875 971572000 981565312 1010434880 1031056000 1032295250 1057070336 1073587060 1078643200 1095497000 1110368000 1121788928 1154782720 1179766000 1208080384 1226956640 1243612160 1263043600 1268992000 1321337920 1341983825 1348304000 1386112000 1402236160 1443478400 1510100480 1533695800 1554515200 1578804500 1616695808 1649689600 1651672400 1717739296 1752795200 1776588800 1804348000 1887625600 1917119750 1943144000 1963130624 2020869760 2062112000 2064590500 2114140672 2147174120 2157286400 2190994000 2220736000 2243577856 2309565440 2359532000 2453913280 2487224320 2526087200 2642675840 2683967650 2696608000 2772224000 2804472320 2886956800 3020200960 3067391600 3109030400 3157609000 3233391616 3299379200 3303344800 3435478592 3505590400 3608696000 3775251200 3834239500 3886288000 3926261248 4041739520 4124224000 4129181000 4228281344 4294348240 4314572800 4381988000 4441472000 4619130880 4719064000 4907826560 5052174400 5285351680 5367935300 5393216000 5608944640 5773913600 6040401920 6134783200 6218060800 6315218000 6466783232 6606689600 6709919125 6870957184 7011180800 7217392000 7550502400 7668479000 7772576000 7852522496 8083479040 8248448000 8258362000 8456562688 8588696480 8763976000 8882944000 9438128000 9815653120 10104348800 10570703360 10735870600 10786432000 11217889280 11547827200 12269566400 12436121600 12630436000 13213379200 13419838250 13741914368 14022361600 14434784000 15101004800 15336958000 15545152000 15705044992 16166958080 16496896000 16516724000 17177392960 17527952000 18876256000 19631306240 20208697600 21141406720 21471741200 21572864000 23095654400 24539132800 25260872000 26426758400 26839676500 27483828736 28044723200 28869568000 30202009600 30673916000 31090304000 32333916160 33033448000 34354785920 35055904000 37752512000 39262612480 40417395200 42282813440 42943482400 49078265600 50521744000 52853516800 53679353000 54967657472 56089446400 57739136000 61347832000 62180608000 66066896000 68709571840 70111808000 75505024000 78525224960 80834790400 85886964800 98156531200 101043488000 105707033600 107358706000 109935314944 115478272000 122695664000 132133792000 137419143680 140223616000 151010048000 161669580800 171773929600 196313062400 202086976000 211414067200 214717412000 245391328000 264267584000 274838287360 280447232000 343547859200 392626124800 404173952000 429434824000 490782656000 528535168000 549676574720 687095718400 808347904000 858869648000 981565312000 1057070336000 1374191436800 1717739296000 1963130624000 2748382873600 3435478592000 6870957184000 13741914368000
- Sum of all divisors σ(n): 45494659959840
- Sum of proper divisors (its aliquot sum) s(n): 31752745591840
- 13741914368000 is an abundant number, because the sum of its proper divisors (31752745591840) is greater than itself. Its abundance is 18010831223840
Bases of 13741914368000
- Binary: 110001111111100010011110110010101000000000002
- Hexadecimal: 0xC7F89ECA800
- Base-36: 4VCY50BNK
Squares and roots of 13741914368000
- 13741914368000 squared (137419143680002) is 188840210497444839424000000
- 13741914368000 cubed (137419143680003) is 2595026001890981666168118444032000000000
-
The
square root of 13741914368000 is 3707008.8168225335 -
The
cube root of 13741914368000 is 23952.4024060215
Scales and comparisons
How big is 13741914368000?- 13,741,914,368,000 seconds is equal to 436,950 years, 19 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,741,914,368,000 would take you about one million, ninety-two thousand, three hundred seventy-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 13741914368000 cubic inches would be around 1996 feet tall.
Recreational maths with 13741914368000
- 13741914368000 backwards is 00086341914731
- The number of decimal digits it has is: 14
- The sum of 13741914368000's digits is 47
- More coming soon!
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The information we have on file for 13741914368000 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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