48142136903291043840
48,142,136,903,291,043,840 is an even composite number composed of five prime numbers multiplied together.
48142136903291043840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty divisors.
Prime factorization of 48142136903291043840:
216 × 34 × 5 × 1273 × 9412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 127 × 127 × 127 × 941 × 941)See below for interesting mathematical facts about the number 48142136903291043840 from the Numbermatics database.
Names of 48142136903291043840
- Cardinal: 48142136903291043840 can be written as Forty-eight quintillion, one hundred forty-two quadrillion, one hundred thirty-six trillion, nine hundred three billion, two hundred ninety-one million, forty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.814213690329104384 × 1019
Factors of 48142136903291043840
Divisors of 48142136903291043840
- Number of divisors d(n): 2040
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 127 128 135 144 160 162 180 192 216 240 254 256 270 288 320 324 360 381 384 405 432 480 508 512 540 576 635 640 648 720 762 768 810 864 941 960 1016 1024 1080 1143 1152 1270 1280 1296 1440 1524 1536 1620 1728 1882 1905 1920 2032 2048 2160 2286 2304 2540 2560 2592 2823 2880 3048 3072 3240 3429 3456 3764 3810 3840 4064 4096 4320 4572 4608 4705 5080 5120 5184 5646 5715 5760 6096 6144 6480 6858 6912 7528 7620 7680 8128 8192 8469 8640 9144 9216 9410 10160 10240 10287 10368 11292 11430 11520 12192 12288 12960 13716 13824 14115 15056 15240 15360 16129 16256 16384 16938 17145 17280 18288 18432 18820 20320 20480 20574 20736 22584 22860 23040 24384 24576 25407 25920 27432 27648 28230 30112 30480 30720 32258 32512 32768 33876 34290 34560 36576 36864 37640 40640 40960 41148 41472 42345 45168 45720 46080 48387 48768 49152 50814 51435 51840 54864 55296 56460 60224 60960 61440 64516 65024 65536 67752 68580 69120 73152 73728 75280 76221 80645 81280 81920 82296 82944 84690 90336 91440 92160 96774 97536 98304 101628 102870 103680 109728 110592 112920 119507 120448 121920 122880 127035 129032 130048 135504 137160 138240 145161 146304 147456 150560 152442 161290 162560 163840 164592 165888 169380 180672 182880 184320 193548 195072 196608 203256 205740 207360 219456 221184 225840 239014 240896 241935 243840 245760 254070 258064 260096 271008 274320 276480 290322 292608 294912 301120 304884 322580 325120 327680 329184 331776 338760 358521 361344 365760 368640 381105 387096 390144 406512 411480 414720 435483 438912 442368 451680 478028 481792 483870 487680 491520 508140 516128 520192 542016 548640 552960 580644 585216 589824 597535 602240 609768 645160 650240 658368 663552 677520 717042 722688 725805 731520 737280 762210 774192 780288 813024 822960 829440 870966 877824 884736 885481 903360 956056 963584 967740 975360 983040 1016280 1032256 1040384 1075563 1084032 1097280 1105920 1161288 1170432 1195070 1204480 1219536 1290320 1300480 1306449 1316736 1327104 1355040 1434084 1445376 1451610 1463040 1474560 1524420 1548384 1560576 1626048 1645920 1658880 1741932 1755648 1769472 1770962 1792605 1806720 1912112 1927168 1935480 1950720 2032560 2048383 2064512 2080768 2151126 2168064 2177415 2194560 2211840 2322576 2340864 2390140 2408960 2439072 2580640 2600960 2612898 2633472 2654208 2656443 2710080 2868168 2890752 2903220 2926080 2949120 3048840 3096768 3121152 3226689 3252096 3291840 3317760 3483864 3511296 3541924 3585210 3613440 3824224 3854336 3870960 3901440 4065120 4096766 4129024 4161536 4302252 4336128 4354830 4389120 4423680 4427405 4645152 4681728 4780280 4817920 4878144 5161280 5201920 5225796 5266944 5308416 5312886 5377815 5420160 5736336 5781504 5806440 5852160 6097680 6145149 6193536 6242304 6453378 6504192 6532245 6583680 6635520 6967728 7022592 7083848 7170420 7226880 7648448 7708672 7741920 7802880 7969329 8130240 8193532 8258048 8323072 8604504 8672256 8709660 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331646495293440 348250411626816 350992540852224 355282035240960 370187445430080 373102307205120 378967504257024 391781713080168 394866608458752 399692289646080 402839473029120 426338442289152 435313014533520 438740676065280 464333882169088 467990054469632 473709380321280 489727141350210 493583260573440 497469742940160 522375617440224 526488811278336 532923052861440 568451256385536 580417352711360 584987568087040 587672569620252 592299912688128 596963691528192 631612507095040 639507663433728 652969521800280 658111014097920 696500823253632 701985081704448 710564070481920 734590712025315 740374890860160 746204614410240 783563426160336 789733216917504 799384579292160 852676884578304 870626029067040 877481352130560 928667764338176 935980108939264 947418760642560 979454282700420 987166521146880 994939485880320 1044751234880448 1052977622556672 1065846105722880 1136902512771072 1160834705422720 1169975136174080 1175345139240504 1184599825376256 1279015326867456 1305939043600560 1316222028195840 1393001646507264 1403970163408896 1421128140963840 1469181424050630 1480749781720320 1492409228820480 1567126852320672 1579466433835008 1598769158584320 1705353769156608 1741252058134080 1754962704261120 1857335528676352 1894837521285120 1958908565400840 1974333042293760 2089502469760896 2105955245113344 2131692211445760 2321669410845440 2339950272348160 2350690278481008 2369199650752512 2558030653734912 2611878087201120 2632444056391680 2786003293014528 2807940326817792 2842256281927680 2938362848101260 2961499563440640 2984818457640960 3134253704641344 3158932867670016 3197538317168640 3410707538313216 3482504116268160 3509925408522240 3714671057352704 3917817130801680 3948666084587520 4179004939521792 4211910490226688 4263384422891520 4643338821690880 4679900544696320 4701380556962016 4738399301505024 5116061307469824 5223756174402240 5264888112783360 5572006586029056 5684512563855360 5876725696202520 5922999126881280 6268507409282688 6317865735340032 6395076634337280 6965008232536320 7019850817044480 7429342114705408 7835634261603360 7897332169175040 8358009879043584 8423820980453376 8526768845783040 9286677643381760 9402761113924032 9476798603010048 10232122614939648 10447512348804480 10529776225566720 11144013172058112 11753451392405040 11845998253762560 12537014818565376 12635731470680064 12790153268674560 13930016465072640 14039701634088960 14858684229410816 15671268523206720 15794664338350080 16716019758087168 17053537691566080 18573355286763520 18805522227848064 18953597206020096 20895024697608960 21059552451133440 22288026344116224 23506902784810080 23691996507525120 25074029637130752 25271462941360128 25580306537349120 27860032930145280 29717368458821632 31342537046413440 31589328676700160 33432039516174336 37146710573527040 37611044455696128 37907194412040192 41790049395217920 42119104902266880 44576052688232448 47013805569620160 47383993015050240 50148059274261504 51160613074698240 55720065860290560 59434736917643264 62685074092826880 63178657353400320 66864079032348672 74293421147054080 75222088911392256 75814388824080384 83580098790435840 89152105376464896 94027611139240320 94767986030100480 100296118548523008 111440131720581120 118869473835286528 125370148185653760 126357314706800640 133728158064697344 148586842294108160 150444177822784512 167160197580871680 178304210752929792 188055222278480640 189535972060200960 200592237097046016 222880263441162240 250740296371307520 267456316129394688 297173684588216320 300888355645569024 334320395161743360 356608421505859584 376110444556961280 379071944120401920 401184474194092032 445760526882324480 501480592742615040 534912632258789376 594347369176432640 601776711291138048 668640790323486720 752220889113922560 802368948388184064 891521053764648960 1002961185485230080 1069825264517578752 1203553422582276096 1337281580646973440 1504441778227845120 1604737896776368128 1783042107529297920 2005922370970460160 2407106845164552192 2674563161293946880 3008883556455690240 3209475793552736256 4011844741940920320 4814213690329104384 5349126322587893760 6017767112911380480 8023689483881840640 9628427380658208768 12035534225822760960 16047378967763681280 24071068451645521920 48142136903291043840
- Sum of all divisors σ(n): 174152048285320005120
- Sum of proper divisors (its aliquot sum) s(n): 126009911382028961280
- 48142136903291043840 is an abundant number, because the sum of its proper divisors (126009911382028961280) is greater than itself. Its abundance is 77867774478737917440
Bases of 48142136903291043840
- Binary: 1010011100000110110011101001110010000100001110001100000000000000002
- Hexadecimal: 0x29C1B3A7210E30000
- Base-36: A5RER93TZI800
Squares and roots of 48142136903291043840
- 48142136903291043840 squared (481421369032910438402) is 2317665345615217376189194361556801945600
- 48142136903291043840 cubed (481421369032910438403) is 111577362364621147906627427410944067169425798493166895104000
-
The
square root of 48142136903291043840 is 6938453495.0730226709 -
The
cube root of 48142136903291043840 is 3637824.8714187329
Scales and comparisons
How big is 48142136903291043840?- 48,142,136,903,291,043,840 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,142,136,903,291,043,840 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 48142136903291043840 cubic inches would be around 303152.1 feet tall.
Recreational maths with 48142136903291043840
- 48142136903291043840 backwards is 04834019230963124184
- 48142136903291043840 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 48142136903291043840's digits is 72
- More coming soon!
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"Number 48142136903291043840 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 48142136903291043840 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/48142136903291043840/
Chicago style:
Numbermatics. 2024. "Number 48142136903291043840 - Facts about the integer". https://numbermatics.com/n/48142136903291043840/
The information we have on file for 48142136903291043840 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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