72138397325188500
72,138,397,325,188,500 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72138397325188500 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
72138397325188500 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 72138397325188500:
22 × 33 × 53 × 71 × 1741 × 3221 × 13421
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 71 × 1741 × 3221 × 13421)See below for interesting mathematical facts about the number 72138397325188500 from the Numbermatics database.
Names of 72138397325188500
- Cardinal: 72138397325188500 can be written as Seventy-two quadrillion, one hundred thirty-eight trillion, three hundred ninety-seven billion, three hundred twenty-five million, one hundred eighty-eight thousand, five hundred.
Scientific notation
- Scientific notation: 7.21383973251885 × 1016
Factors of 72138397325188500
Divisors of 72138397325188500
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 71 75 90 100 108 125 135 142 150 180 213 225 250 270 284 300 355 375 426 450 500 540 639 675 710 750 852 900 1065 1125 1278 1350 1420 1500 1741 1775 1917 2130 2250 2556 2700 3195 3221 3375 3482 3550 3834 4260 4500 5223 5325 6390 6442 6750 6964 7100 7668 8705 8875 9585 9663 10446 10650 12780 12884 13421 13500 15669 15975 16105 17410 17750 19170 19326 20892 21300 26115 26625 26842 28989 31338 31950 32210 34820 35500 38340 38652 40263 43525 47007 47925 48315 52230 53250 53684 57978 62676 63900 64420 67105 78345 79875 80525 80526 86967 87050 94014 95850 96630 104460 106500 115956 120789 123611 130575 134210 144945 156690 159750 161050 161052 173934 174100 188028 191700 193260 201315 217625 228691 235035 239625 241575 241578 247222 261150 268420 289890 313380 319500 322100 335525 347868 362367 370833 391725 402625 402630 434835 435250 457382 470070 479250 483150 483156 494444 522300 579780 603945 618055 652875 671050 686073 724725 724734 741666 783450 805250 805260 869670 870500 914764 940140 952891 958500 966300 1006575 1112499 1143455 1175175 1207875 1207890 1236110 1305750 1342100 1372146 1449450 1449468 1483332 1566900 1610500 1677625 1739340 1811835 1854165 1905782 1958625 2013150 2058219 2174175 2224998 2286910 2350350 2415750 2415780 2472220 2611500 2744292 2858673 2898900 3019725 3090275 3337497 3355250 3430365 3623625 3623670 3708330 3811564 3917250 4026300 4116438 4348350 4449996 4573820 4700700 4764455 4831500 5032875 5562495 5607761 5717275 5717346 5875875 6039450 6174657 6180550 6674994 6710500 6860730 7247250 7247340 7416660 7834500 8232876 8576019 8696700 9059175 9270825 9528910 10065750 10291095 10870875 11124990 11215522 11434550 11434692 11751750 12078900 12349314 12361100 13349988 13721460 14293365 14494500 15098625 15451375 16687485 16823283 17151825 17152038 18118350 18541650 19057820 20131500 20582190 21741750 22249980 22431044 22869100 23365961 23503500 23822275 24698628 25728057 27812475 28038805 28586375 28586730 30197250 30873285 30902750 33374970 33646566 34303650 34304076 36236700 37083300 41164380 42880095 43229041 43483500 45295875 46354125 46731922 47644550 50469849 51455475 51456114 55624950 56077610 57172750 57173460 60394500 61746570 61805500 66749940 67293132 68607300 70097883 71466825 83437425 84116415 85759125 85760190 86458082 90591750 92708250 93463844 95289100 100939698 102910950 102912228 111249900 112155220 114345500 116829805 119111375 123493140 128640285 129687123 139062375 140194025 140195766 142933650 151409547 154366425 166874850 168232830 171518250 171520380 172916164 181183500 185416500 201879396 205821900 210293649 214400475 216145205 233659610 238222750 252349245 257277375 257280570 259374246 278124750 280388050 280391532 285867300 302819094 308732850 333749700 336465660 343036500 350489415 357334125 389061369 398151031 417187125 420582075 420587298 428800950 432290410 467319220 476445500 504698490 514554750 514561140 518748492 556249500 560776100 584149025 605638188 617465700 630880947 643201425 648435615 700970125 700978830 714668250 757047735 771832125 778122738 796302062 834374250 841164150 841174596 857601900 864580820 1009396980 1029109500 1051468245 1072002375 1080726025 1167184107 1168298050 1194453093 1261746225 1261761894 1286402850 1296871230 1401940250 1401957660 1429336500 1514095470 1543664250 1556245476 1592604124 1658983231 1668748500 1682328300 1752447075 1945306845 1990755155 2102910375 2102936490 2144004750 2161452050 2334368214 2336596100 2388906186 2523492450 2523523788 2572805700 2593742460 2803880500 2920745125 3028190940 3069261911 3087328500 3154404735 3216007125 3242178075 3317966462 3504894150 3583359279 3785238675 3890613690 3981510310 4205820750 4205872980 4288009500 4322904100 4668736428 4777812372 4976949693 5046984900 5257341225 5403630125 5835920535 5841490250 5972265465 6138523822 6308731125 6308809470 6432014250 6484356150 6635932924 7009788300 7166718558 7570477350 7781227380 7963020620 8294916155 8411641500 8762235375 9207785733 9726534225 9953775775 9953899386 10514682450 10750077837 10807260250 11671841070 11682980500 11944530930 12277047644 12617462250 12617618940 12864028500 12968712300 14333437116 14930849079 15140954700 15346309555 15772023675 16210890375 16589832310 17524470750 17916796395 18415571466 18926193375 19453068450 19907551550 19907798772 21029364900 21500155674 21614520500 23343682140 23889061860 24884748465 25234924500 26286706125 27623357199 29179602675 29861327325 29861698158 30692619110 31544047350 32421780750 33179664620 35048941500 35833592790 36831142932 37852386750 38906136900 39815103100 41474580775 43000311348 44792547237 46038928665 48632671125 49768878875 49769496930 52573412250 53750389185 55246714398 58359205350 59722654650 59723396316 61385238220 63088094700 64843561500 71667185580 74654245395 75261760381 75704773500 76731547775 78860118375 82870071597 82949161550 89583981975 89585094474 92077857330 97265342250 99537757750 99538993860 105146824500 107500778370 110493428796 116718410700 119445309300 124423742325 138116785995 145898013375 149306636625 149308490790 150523520762 153463095550 157720236750 165740143194 165898323100 179167963950 179170188948 184155714660 194530684500 199075515500 207372903875 215001556740 223962736185 225785281143 230194643325 248847484650 268751945925 276233571990 291796026750 298613273250 298616981580 301047041524 306926191100 315440473500 331480286388 358335927900 373271226975 376308801905 383657738875 414350357985 414745807750 447919909875 447925472370 451570562286 460389286650 497694969300 537503891850 552467143980 583592053500 597226546500 622118711625 677355843429 690583929975 746542453950 752617603810 767315477750 828700715970 829491615500 895839819750 895850944740 903141124572 920778573300 1075007783700 1119813680925 1128926405715 1150973216625 1244237423250 1343759729625 1354711686858 1381167859950 1493084907900 1505235207620 1534630955500 1657401431940 1791679639500 1866356134875 1881544009525 2032067530287 2071751789925 2239627361850 2257852811430 2301946433250 2488474846500 2687519459250 2709423373716 2762335719900 3386779217145 3452919649875 3732712269750 3763088019050 4064135060574 4143503579850 4479254723700 4515705622860 4603892866500 5343584987051 5375038918500 5599068404625 5644632028575 6773558434290 6905839299750 7465424539500 7526176038100 8128270121148 8287007159700 9407720047625 10160337651435 10358758949625 10687169974102 11198136809250 11289264057150 13547116868580 13811678599500 16030754961153 16933896085725 18815440095250 20320675302870 20717517899250 21374339948204 22396273618500 22578528114300 26717924935255 28223160142875 32061509922306 33867792171450 37630880190500 40641350605740 41435035798500 48092264883459 50801688257175 53435849870510 56446320285750 64123019844612 67735584342900 80153774805765 84669480428625 96184529766918 101603376514350 106871699741020 112892640571500 133589624676275 144276794650377 160307549611530 169338960857250 192369059533836 203206753028700 240461324417295 254008441285875 267179249352550 288553589300754 320615099223060 338677921714500 400768874028825 480922648834590 508016882571750 534358498705100 577107178601508 667948123381375 721383973251885 801537748057650 961845297669180 1016033765143500 1202306622086475 1335896246762750 1442767946503770 1603075496115300 2003844370144125 2404613244172950 2671792493525500 2885535893007540 3606919866259425 4007688740288250 4809226488345900 6011533110432375 7213839732518850 8015377480576500 12023066220864750 14427679465037700 18034599331297125 24046132441729500 36069198662594250 72138397325188500
- Sum of all divisors σ(n): 236922358546298880
- Sum of proper divisors (its aliquot sum) s(n): 164783961221110380
- 72138397325188500 is an abundant number, because the sum of its proper divisors (164783961221110380) is greater than itself. Its abundance is 92645563895921880
Bases of 72138397325188500
- Binary: 1000000000100100101111101011110110011101111011101100101002
- Hexadecimal: 0x100497D7B3BDD94
- Base-36: JQAXE896YL0
Squares and roots of 72138397325188500
- 72138397325188500 squared (721383973251885002) is 5203948368646763331416560532250000
- 72138397325188500 cubed (721383973251885003) is 375404495077206730044458413648335997891579125000000
-
The
square root of 72138397325188500 is 268585921.6809185253 -
The
cube root of 72138397325188500 is 416283.1477422109
Scales and comparisons
How big is 72138397325188500?- 72,138,397,325,188,500 seconds is equal to 2,293,777,896 years, 11 weeks, 5 days, 17 hours, 15 minutes.
-
To count from 1 to 72,138,397,325,188,500 would take you about six billion, eight hundred eighty-one million, three hundred thirty-three thousand, six hundred eighty-eight 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 72138397325188500 cubic inches would be around 34690.3 feet tall.
Recreational maths with 72138397325188500
- 72138397325188500 backwards is 00588152379383127
- The number of decimal digits it has is: 17
- The sum of 72138397325188500's digits is 72
- 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 72138397325188500 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 72138397325188500 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/72138397325188500/
Chicago style:
Numbermatics. 2024. "Number 72138397325188500 - Facts about the integer". https://numbermatics.com/n/72138397325188500/
The information we have on file for 72138397325188500 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 72138397325188500, math, Factors of 72138397325188500, curriculum, school, college, exams, university, Prime factorization of 72138397325188500, STEM, science, technology, engineering, physics, economics, calculator, seventy-two quadrillion, one hundred thirty-eight trillion, three hundred ninety-seven billion, three hundred twenty-five million, one hundred eighty-eight thousand, five hundred.