23742985808704048000
23,742,985,808,704,048,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 23742985808704048000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
23742985808704048000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 23742985808704048000:
27 × 53 × 43 × 127 × 307 × 19531 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 43 × 127 × 307 × 19531 × 45319)See below for interesting mathematical facts about the number 23742985808704048000 from the Numbermatics database.
Names of 23742985808704048000
- Cardinal: 23742985808704048000 can be written as Twenty-three quintillion, seven hundred forty-two quadrillion, nine hundred eighty-five trillion, eight hundred eight billion, seven hundred four million, forty-eight thousand.
Scientific notation
- Scientific notation: 2.3742985808704048 × 1019
Factors of 23742985808704048000
Divisors of 23742985808704048000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 127 128 160 172 200 215 250 254 307 320 344 400 430 500 508 614 635 640 688 800 860 1000 1016 1075 1228 1270 1376 1535 1600 1720 2000 2032 2150 2456 2540 2752 3070 3175 3200 3440 4000 4064 4300 4912 5080 5375 5461 5504 6140 6350 6880 7675 8000 8128 8600 9824 10160 10750 10922 12280 12700 13201 13760 15350 15875 16000 16256 17200 19531 19648 20320 21500 21844 24560 25400 26402 27305 27520 30700 31750 34400 38375 38989 39062 39296 40640 43000 43688 45319 49120 50800 52804 54610 61400 63500 66005 68800 76750 77978 78124 81280 86000 87376 90638 97655 98240 101600 105608 109220 122800 127000 132010 136525 137600 153500 155956 156248 172000 174752 181276 194945 195310 196480 203200 211216 218440 226595 245600 254000 264020 273050 307000 311912 312496 330025 344000 349504 362552 389890 390620 406400 422432 436880 453190 488275 491200 508000 528040 546100 614000 623824 624992 660050 682625 688000 699008 725104 779780 781240 839833 844864 873760 906380 974725 976550 982400 1016000 1056080 1092200 1132975 1228000 1247648 1249984 1320100 1365250 1450208 1559560 1562480 1650125 1676527 1679666 1689728 1747520 1812760 1948717 1949450 1953100 2032000 2112160 2184400 2265950 2441375 2456000 2480437 2495296 2499968 2640200 2730500 2900416 3119120 3124960 3300250 3353054 3359332 3495040 3625520 3897434 3898900 3906200 4199165 4224320 4368800 4531900 4873625 4882750 4912000 4960874 4990592 5280400 5461000 5664875 5755513 5800832 5996017 6238240 6249920 6600500 6706108 6718664 7251040 7794868 7797800 7812400 8382635 8398330 8448640 8737600 9063800 9743585 9747250 9765500 9921748 10560800 10922000 11329750 11511026 11992034 12402185 12476480 12499840 13201000 13412216 13437328 13912933 14502080 15589736 15595600 15624800 16765270 16796660 17475200 18127600 19487170 19494500 19531000 19843496 20995825 21121600 21844000 22659500 23022052 23984068 24804370 24952960 26402000 26824432 26874656 27825866 28777565 29004160 29980085 31179472 31191200 31249600 33530540 33593320 36255200 38974340 38989000 39062000 39686992 41913175 41991650 42243200 43688000 45319000 46044104 47968136 48717925 49608740 52804000 53648864 53749312 55651732 57555130 59960170 62010925 62358944 62382400 62499200 67061080 67186640 69564665 72510400 77948680 77978000 78124000 79373984 83826350 83983300 87376000 90638000 92088208 95936272 97435850 99217480 104979125 105608000 106658791 107297728 107498624 111303464 115110260 119920340 124021850 124717888 124764800 134122160 134373280 139129330 143887825 145020800 149900425 155897360 155956000 156248000 158747968 167652700 167966600 181276000 184176416 191872544 194871700 198434960 209565875 209958250 211216000 213317582 214595456 222606928 230220520 239840680 243589625 247487059 248043700 249435776 257828731 268244320 268746560 278258660 287775650 299800850 310054625 311794720 311912000 312496000 317495936 335305400 335933200 347823325 362552000 368352832 383745088 389743400 396869920 419131750 419916500 426635164 445213856 460441040 479681360 487179250 494974118 496087400 515657462 533293955 536488640 537493120 556517320 575551300 598256119 599601700 620109250 623589440 623824000 670610800 671866400 695646650 719439125 725104000 736705664 749502125 761494159 767490176 779486800 793739840 838263500 839833000 853270328 885125389 890427712 920882080 959362720 974358500 989948236 992174800 1031314924 1066587910 1072977280 1113034640 1151102600 1196512238 1199203400 1237435295 1240218500 1247178880 1289143655 1341221600 1343732800 1391293300 1438878250 1499004250 1522988318 1558973600 1587479680 1676527000 1679666000 1706540656 1739116625 1766942491 1770250778 1780855424 1841764160 1918725440 1948717000 1979896472 1984349600 2062629848 2133175820 2226069280 2302205200 2393024476 2398406800 2474870590 2480437000 2578287310 2666469775 2682443200 2687465600 2782586600 2877756500 2991280595 2998008500 3045976636 3117947200 3353054000 3359332000 3413081312 3478233250 3533884982 3540501556 3683528320 3807470795 3837450880 3897434000 3959792944 3968699200 4125259696 4266351640 4425626945 4452138560 4604410400 4786048952 4796813600 4949741180 4960874000 5156574620 5332939550 5364886400 5565173200 5755513000 5982561190 5996017000 6091953272 6187176475 6235894400 6445718275 6706108000 6718664000 6826162624 6956466500 7067769964 7081003112 7614941590 7794868000 7919585888 7937398400 8250519392 8532703280 8834712455 8851253890 8904277120 9208820800 9572097904 9593627200 9899482360 9921748000 10313149240 10665879100 11130346400 11511026000 11965122380 11992034000 12183906544 12374352950 12891436550 13332348875 13412216000 13437328000 13652325248 13912933000 14135539928 14162006224 14956402975 15229883180 15589736000 15839171776 16501038784 17065406560 17669424910 17702507780 18417641600 19037353975 19144195808 19187254400 19798964720 19843496000 20626298480 21331758200 22128134725 22260692800 23022052000 23930244760 23984068000 24367813088 24748705900 25782873100 26664697750 26824432000 27825866000 28271079856 28324012448 29912805950 30459766360 30935882375 31179472000 31678343552 32228591375 32744248837 33002077568 34130813120 35338849820 35405015560 38060391727 38074707950 38288391616 39597929440 39686992000 41252596960 42663516400 44173562275 44256269450 44521385600 46044104000 47860489520 47968136000 48735626176 49497411800 51565746200 53329395500 55651732000 56542159712 56648024896 59825611900 60919532720 61871764750 64457182750 65488497674 68261626240 70677699640 70810031120 74782014875 75978527113 76120783454 76149415900 76576783232 79195858880 82505193920 85327032800 88347124550 88512538900 92088208000 95186769875 95720979040 95936272000 97471252352 98994823600 103131492400 106658791000 110640673625 111303464000 112410924403 113084319424 113296049792 119651223800 121839065440 123743529500 128914365500 130976995348 141355399280 141620062240 149564029750 151957054226 152241566908 152298831800 158391717760 163721244185 165010387840 170654065600 176694249100 177025077800 190301958635 190373539750 191441958080 197989647200 206262984800 213317582000 220867811375 221281347250 222606928000 224821848806 226168638848 239302447600 243678130880 247487059000 257828731000 261953990696 271733494423 282710798560 283240124480 299128059500 303914108452 304483133816 304597663600 327442488370 341308131200 353388498200 354050155600 379892635565 380603917270 380747079500 382883916160 395979294400 412525969600 426635164000 441735622750 442562694500 449643697612 478604895200 487356261760 494974118000 515657462000 523907981392 543466988846 562054622015 565421597120 566480248960 598256119000 607828216904 608966267632 609195327200 654884976740 706776996400 708100311200 759785271130 761207834540 761494159000 791958588800 818606220925 825051939200 853270328000 883471245500 885125389000 899287395224 951509793175 957209790400 989948236000 1031314924000 1047815962784 1086933977692 1124109244030 1130843194240 1196512238000 1215656433808 1217932535264 1218390654400 1309769953480 1358667472115 1413553992800 1416200622400 1519570542260 1522415669080 1522988318000 1637212441850 1706540656000 1766942491000 1770250778000 1798574790448 1899463177825 1903019586350 1914419580800 1979896472000 2062629848000 2095631925568 2173867955384 2248218488060 2393024476000 2431312867616 2435865070528 2436781308800 2619539906960 2717334944230 2810273110075 2827107985600 2832401244800 3039141084520 3044831338160 3045976636000 3274424883700 3533884982000 3540501556000 3597149580896 3798926355650 3806039172700 3959792944000 4093031104625 4125259696000 4191263851136 4347735910768 4496436976120 4757548965875 4786048952000 4833669749329 4862625735232 4871730141056 5239079813920 5434669888460 5620546220150 5654215971200 6078282169040 6089662676320 6091953272000 6548849767400 6793337360575 7067769964000 7081003112000 7194299161792 7597852711300 7612078345400 8186062209250 8695471821536 8992873952240 9497315889125 9515097931750 9572097904000 9667339498658 9725251470464 10478159627840 10869339776920 11241092440300 11684540260189 12156564338080 12179325352640 12183906544000 13097699534800 13586674721150 14051365550375 14135539928000 14162006224000 14388598323584 15195705422600 15224156690800 16372124418500 17390943643072 17985747904480 18994631778250 19030195863500 19334678997316 20956319255680 21738679553840 22482184880600 23369080520378 24168348746645 24313128676160 24358650705280 26195399069600 27173349442300 28102731100750 28271079856000 30391410845200 30448313381600 32744248837000 33966686802875 34510153791721 34781887286144 35971495808960 37989263556500 38060391727000 38669357994632 43477359107680 44964369761200 46738161040756 48336697493290 48626257352320 52390798139200 54346698884600 56205462201500 58422701300945 60782821690400 60896626763200 65488497674000 67933373605750 69020307583442 71942991617920 75978527113000 76120783454000 77338715989264 86954718215360 89928739522400 93476322081512 96673394986580 104781596278400 108693397769200 112410924403000 116845402601890 120841743733225 121565643380800 121793253526400 130976995348000 135866747211500 138040615166884 151957054226000 152241566908000 154677431978528 172550768958605 173909436430720 179857479044800 186952644163024 193346789973160 217386795538400 224821848806000 233690805203780 241683487466450 243131286761600 261953990696000 271733494423000 276081230333768 292113506504725 303914108452000 304483133816000 309354863957056 345101537917210 359714958089600 373905288326048 386693579946320 434773591076800 449643697612000 467381610407560 483366974932900 523907981392000 543466988846000 552162460667536 584227013009450 604208718666125 607828216904000 608966267632000 618709727914112 690203075834420 747810576652096 773387159892640 862753844793025 869547182153600 899287395224000 934763220815120 966733949865800 1086933977692000 1104324921335072 1168454026018900 1208417437332250 1215656433808000 1380406151668840 1460567532523625 1483936613044003 1495621153304192 1546774319785280 1725507689586050 1798574790448000 1869526441630240 1933467899731600 2173867955384000 2208649842670144 2336908052037800 2416834874664500 2760812303337680 2921135065047250 2967873226088006 3093548639570560 3451015379172100 3739052883260480 3866935799463200 4313769223965125 4347735910768000 4417299685340288 4673816104075600 4833669749329000 5521624606675360 5842270130094500 5935746452176012 6902030758344200 7419683065220015 7478105766520960 7733871598926400 8627538447930250 9347632208151200 9667339498658000 11043249213350720 11684540260189000 11871492904352024 13804061516688400 14839366130440030 15467743197852800 17255076895860500 18695264416302400 19334678997316000 22086498426701440 23369080520378000 23742985808704048 27608123033376800 29678732260880060 34510153791721000 37098415326100075 37390528832604800 38669357994632000 46738161040756000 47485971617408096 55216246066753600 59357464521760120 69020307583442000 74196830652200150 77338715989264000 93476322081512000 94971943234816192 110432492133507200 118714929043520240 138040615166884000 148393661304400300 185492076630500375 186952644163024000 189943886469632384 237429858087040480 276081230333768000 296787322608800600 370984153261000750 474859716174080960 552162460667536000 593574645217601200 741968306522001500 949719432348161920 1187149290435202400 1483936613044003000 2374298580870404800 2967873226088006000 4748597161740809600 5935746452176012000 11871492904352024000 23742985808704048000
- Sum of all divisors σ(n): 61082212314886963200
- Sum of proper divisors (its aliquot sum) s(n): 37339226506182915200
- 23742985808704048000 is an abundant number, because the sum of its proper divisors (37339226506182915200) is greater than itself. Its abundance is 13596240697478867200
Bases of 23742985808704048000
- Binary: 101001001100000000000011111001100000110101111001000001011100000002
- Hexadecimal: 0x1498007CC1AF20B80
- Base-36: 50DYY1AG77R0G
Squares and roots of 23742985808704048000
- 23742985808704048000 squared (237429858087040480002) is 563729375112321816208797251586304000000
- 23742985808704048000 cubed (237429858087040480003) is 13384618553241457827263337459221192646558466158592000000000
-
The
square root of 23742985808704048000 is 4872677478.4202625285 -
The
cube root of 23742985808704048000 is 2874165.5371273049
Scales and comparisons
How big is 23742985808704048000?- 23,742,985,808,704,048,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 23,742,985,808,704,048,000 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 23742985808704048000 cubic inches would be around 239513.8 feet tall.
Recreational maths with 23742985808704048000
- 23742985808704048000 backwards is 00084040780858924732
- The number of decimal digits it has is: 20
- The sum of 23742985808704048000's digits is 79
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 23742985808704048000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 23742985808704048000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/23742985808704048000/
Chicago style:
Numbermatics. 2024. "Number 23742985808704048000 - Facts about the integer". https://numbermatics.com/n/23742985808704048000/
The information we have on file for 23742985808704048000 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!
Keywords: Divisors of 23742985808704048000, math, Factors of 23742985808704048000, curriculum, school, college, exams, university, Prime factorization of 23742985808704048000, STEM, science, technology, engineering, physics, economics, calculator, twenty-three quintillion, seven hundred forty-two quadrillion, nine hundred eighty-five trillion, eight hundred eight billion, seven hundred four million, forty-eight thousand.