13742244517068900
13,742,244,517,068,900 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742244517068900 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
13742244517068900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13742244517068900:
22 × 37 × 52 × 72 × 433 × 1272
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 43 × 43 × 43 × 127 × 127)See below for interesting mathematical facts about the number 13742244517068900 from the Numbermatics database.
Names of 13742244517068900
- Cardinal: 13742244517068900 can be written as Thirteen quadrillion, seven hundred forty-two trillion, two hundred forty-four billion, five hundred seventeen million, sixty-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 1.37422445170689 × 1016
Factors of 13742244517068900
Divisors of 13742244517068900
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 43 45 49 50 54 60 63 70 75 81 84 86 90 98 100 105 108 126 127 129 135 140 147 150 162 172 175 180 189 196 210 215 225 243 245 252 254 258 270 294 300 301 315 324 350 378 381 387 405 420 430 441 450 486 490 508 516 525 540 567 588 602 630 635 645 675 700 729 735 756 762 774 810 860 882 889 900 903 945 972 980 1050 1075 1134 1143 1161 1204 1215 1225 1260 1270 1290 1323 1350 1458 1470 1505 1524 1548 1575 1620 1701 1764 1778 1806 1849 1890 1905 1935 2025 2100 2107 2150 2187 2205 2268 2286 2322 2430 2450 2540 2580 2646 2667 2700 2709 2835 2916 2940 3010 3150 3175 3225 3402 3429 3483 3556 3612 3645 3675 3698 3780 3810 3870 3969 4050 4214 4300 4374 4410 4445 4515 4572 4644 4725 4860 4900 5103 5292 5334 5418 5461 5547 5670 5715 5805 6020 6075 6223 6300 6321 6350 6450 6615 6804 6858 6966 7290 7350 7396 7525 7620 7740 7938 8001 8100 8127 8428 8505 8748 8820 8890 9030 9245 9450 9525 9675 10206 10287 10449 10535 10668 10836 10922 10935 11025 11094 11340 11430 11610 11907 12150 12446 12642 12700 12900 12943 13230 13335 13545 13716 13932 14175 14580 14700 15050 15309 15876 16002 16129 16254 16383 16641 17010 17145 17415 17780 18060 18225 18490 18669 18900 18963 19050 19350 19845 20412 20574 20898 21070 21844 21870 22050 22188 22225 22575 22860 23220 23814 24003 24300 24381 24892 25284 25515 25886 26460 26670 27090 27305 27735 28350 28575 29025 30100 30618 30861 31115 31347 31605 32004 32258 32508 32766 33075 33282 34020 34290 34830 35721 36450 36980 37338 37926 38100 38227 38700 38829 39690 40005 40635 41148 41796 42140 42525 43740 44100 44450 45150 46225 47628 48006 48387 48762 49149 49923 51030 51435 51772 52245 52675 53340 54180 54610 54675 55470 56007 56700 56889 57150 58050 59535 61236 61722 62230 62694 63210 64516 64715 65532 66150 66564 66675 67725 68580 69660 71442 72009 72900 73143 74676 75852 76454 76545 77658 79380 79507 80010 80645 81270 81915 83205 85050 85725 87075 88900 90300 90601 92450 92583 93345 94041 94815 96012 96774 97524 98298 99225 99846 102060 102870 104490 105350 107163 109220 109350 110940 112014 112903 113778 114300 114681 116100 116487 119070 120015 121905 123444 124460 125388 126420 127575 129430 132300 133350 135450 136525 138675 142884 144018 145161 146286 147447 149769 152908 153090 154305 155316 155575 156735 158025 159014 160020 161290 162540 163830 166410 168021 170100 170667 171450 174150 178605 181202 184900 185166 186690 188082 189630 191135 193548 194145 196596 198450 199692 200025 203175 205740 208980 210700 214326 216027 218700 219429 224028 225806 227556 229362 232974 234823 238140 238521 240030 241935 243810 245745 249615 255150 257175 258860 261225 266700 267589 270900 271803 273050 277350 277749 280035 284445 288036 290322 292572 294894 297675 299538 306180 308610 311150 313470 316050 318028 322580 323575 327660 332820 336042 338709 341334 342900 344043 348300 349461 357210 360045 362404 365715 370332 373380 376164 379260 382270 382725 388290 396900 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265437775575 267176912940 269297364630 275268804300 279603746100 281822823450 284006954700 286260978150 288532890675 297290308644 304368649326 309161856402 311615521929 314180258735 323156837556 326109267135 328793294025 333971141175 338187388140 343513173780 346239468810 353917034100 355096757547 359490530700 360688832469 362343630150 368049829050 371612885805 377016310482 384710520900 394551952830 400765369410 403946046945 412903206450 415487362572 419405619150 422734235175 426010432050 429391467225 434812356180 438391058700 441659794860 445294854900 448828941050 456552973989 473462343396 480918443292 484735256334 495483847740 503286742980 507281082210 515269760670 519359203215 530875551150 538594729260 543515445225 552074743575 563645646900 565524465723 572521956300 577065781350 591827929245 601148054115 608737298652 618323712804 619354809675 623231043858 628360517470 629108428725 652218534270 657586588050 667942282350 673243411575 692478937620 710193515094 721377664938 724687260300 727102884501 736099658100 743225771610 754032620964 760921623315 772904641005 789103905660 801530738820 807892093890 825806412900 838811238300 845468470350 852020864100 858782934450 865598672025 897657882100 913105947978 934846565787 942540776205 969470512668 986379882075 1001913423525 1014562164420 1030539521340 1038718406430 1061751102300 1065290272641 1082066497407 1087030890450 1104149487150 1131048931446 1154131562700 1183655858490 1202296108230 1211838140835 1238709619350 1246462087716 1256721034940 1258216857450 1268202705525 1288174401675 1304437068540 1315173176100 1335884564700 1346486823150 1420387030188 1442755329876 1454205769002 1486451543220 1521843246630 1545809282010 1558077609645 1570901293675 1615784187780 1630546335675 1690936940700 1696573397169 1717565868900 1731197344050 1775483787735 1803444162345 1826211895956 1858064429025 1869693131574 1885081552410 1972759764150 2003826847050 2019730234725 2077436812860 2130580545282 2164132994814 2174061780900 2181308653503 2208298974300 2262097862892 2282764869945 2367311716980 2404592216460 2423676281670 2477419238700 2516433714900 2536405411050 2576348803350 2596796016075 2692973646300 2804539697361 2827622328615 2908411538004 2959139646225 3005740270575 3043686493260 3091618564020 3116155219290 3141802587350 3195870817923 3261092671350 3393146794338 3462394688100 3550967575470 3606888324690 3635514422505 3716128858050 3739386263148 3770163104820 3804608116575 3864523205025 3945519528300 4007653694100 4039460469450 4261161090564 4328265989628 4362617307006 4565529739890 4674232828935 4712703881025 4847352563340 5072810822100 5089720191507 5152697606700 5193592032150 5326451363205 5410332487035 5609079394722 5655244657230 5918279292450 6011480541150 6059190704175 6232310438580 6283605174700 6391741635846 6522185342700 6543925960509 6786293588676 7101935150940 7213776649380 7271028845010 7432257716100 7609216233150 7729046410050 7790388048225 8078920938900 8482866985845 8725234614012 8877418938675 9017220811725 9131059479780 9348465657870 9425407762050 10179440383014 10387184064300 10652902726410 10820664974070 10906543267515 11218158789444 11310489314460 11413824349725 11836558584900 12022961082300 12118381408350 12783483271692 13087851921018 14022698486805 14138111643075 14542057690020 15218432466300 15269160574521 15458092820100 15580776096450 15979354089615 16965733971690 17754837877350 18034441623450 18177572112525 18696931315740 18850815524100 19631777881527 20358880766028 21305805452820 21641329948140 21813086535030 22827648699450 23371164144675 24236762816700 25448600957535 26175703842036 26632256816025 27051662435175 28045396973610 28276223286150 30538321149042 31161552192900 31958708179230 32719629802545 33931467943380 35509675754700 36068883246900 36355144225050 39263555763054 42414334929225 43626173070060 45655297398900 45807481723563 46742328289350 50897201915070 53264513632050 54103324870350 54532716337575 56090793947220 56552446572300 61076642298084 63917416358460 65439259605090 70113492434025 72710288450100 76345802872605 78527111526108 79896770448075 84828669858450 91614963447126 93484656578700 98158889407635 101794403830140 106529027264100 108206649740700 109065432675150 127243004787675 130878519210180 137422445170689 140226984868050 152691605745210 159793540896150 163598149012725 169657339716900 183229926894252 196317778815270 218130865350300 229037408617815 254486009575350 274844890341378 280453969736100 305383211490420 319587081792300 327196298025450 381729014363025 392635557630540 458074817235630 490794447038175 508972019150700 549689780682756 654392596050900 687112225853445 763458028726050 916149634471260 981588894076350 1145187043089075 1374224451706890 1526916057452100 1963177788152700 2290374086178150 2748448903413780 3435561129267225 4580748172356300 6871122258534450 13742244517068900
- Sum of all divisors σ(n): 53687507748336000
- Sum of proper divisors (its aliquot sum) s(n): 39945263231267100
- 13742244517068900 is an abundant number, because the sum of its proper divisors (39945263231267100) is greater than itself. Its abundance is 26203018714198200
Bases of 13742244517068900
- Binary: 1100001101001001111111101000101101101101000000011001002
- Hexadecimal: 0x30D27FA2DB4064
- Base-36: 3RB7VZ78290
Squares and roots of 13742244517068900
- 13742244517068900 squared (137422445170689002) is 188849284366910244583447347210000
- 13742244517068900 cubed (137422445170689003) is 2595213042643557840550888372006617269792769000000
-
The
square root of 13742244517068900 is 117227319.8408498121 -
The
cube root of 13742244517068900 is 239525.9422306181
Scales and comparisons
How big is 13742244517068900?- 13,742,244,517,068,900 seconds is equal to 436,960,868 years, 4 weeks, 4 days, 14 hours, 15 minutes.
-
To count from 1 to 13,742,244,517,068,900 would take you about one billion, three hundred ten million, eight hundred eighty-two thousand, six hundred four 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 13742244517068900 cubic inches would be around 19960.5 feet tall.
Recreational maths with 13742244517068900
- 13742244517068900 backwards is 00986071544224731
- 13742244517068900 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13742244517068900's digits is 63
- More coming soon!
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Cite this page
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"Number 13742244517068900 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 13742244517068900 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/13742244517068900/
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Numbermatics. 2024. "Number 13742244517068900 - Facts about the integer". https://numbermatics.com/n/13742244517068900/
The information we have on file for 13742244517068900 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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