138023682771399120
138,023,682,771,399,120 is an even composite number composed of five prime numbers multiplied together.
138023682771399120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty divisors.
Prime factorization of 138023682771399120:
24 × 34 × 5 × 312 × 536
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 31 × 31 × 53 × 53 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 138023682771399120 from the Numbermatics database.
Names of 138023682771399120
- Cardinal: 138023682771399120 can be written as One hundred thirty-eight quadrillion, twenty-three trillion, six hundred eighty-two billion, seven hundred seventy-one million, three hundred ninety-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3802368277139912 × 1017
Factors of 138023682771399120
Divisors of 138023682771399120
- Number of divisors d(n): 1050
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 53 54 60 62 72 80 81 90 93 106 108 120 124 135 144 155 159 162 180 186 212 216 240 248 265 270 279 310 318 324 360 372 405 424 432 465 477 496 530 540 558 620 636 648 720 744 795 810 837 848 930 954 961 1060 1080 1116 1240 1272 1296 1395 1431 1488 1590 1620 1643 1674 1860 1908 1922 2120 2160 2232 2385 2480 2511 2544 2790 2809 2862 2883 3180 3240 3286 3348 3720 3816 3844 4185 4240 4293 4464 4770 4805 4929 5022 5580 5618 5724 5766 6360 6480 6572 6696 7155 7440 7632 7688 8215 8370 8427 8586 8649 9540 9610 9858 10044 11160 11236 11448 11532 12555 12720 13144 13392 14045 14310 14415 14787 15376 16430 16740 16854 17172 17298 19080 19220 19716 20088 21465 22320 22472 22896 23064 24645 25110 25281 25947 26288 28090 28620 28830 29574 32860 33480 33708 34344 34596 38160 38440 39432 40176 42135 42930 43245 44361 44944 46128 49290 50220 50562 50933 51894 56180 57240 57660 59148 65720 66960 67416 68688 69192 73935 75843 76880 77841 78864 84270 85860 86490 87079 88722 98580 100440 101124 101866 103788 112360 114480 115320 118296 126405 129735 131440 133083 134832 138384 147870 148877 151686 152799 155682 168540 171720 172980 174158 177444 197160 200880 202248 203732 207576 221805 224720 227529 230640 236592 252810 254665 259470 261237 266166 295740 297754 303372 305598 311364 337080 343440 345960 348316 354888 379215 389205 394320 404496 407464 415152 435395 443610 446631 455058 458397 505620 509330 518940 522474 532332 591480 595508 606744 611196 622728 665415 674160 691920 696632 709776 744385 758430 763995 778410 783711 814928 870790 887220 893262 910116 916794 1011240 1018660 1037880 1044948 1064664 1137645 1182960 1191016 1213488 1222392 1245456 1306185 1330830 1339893 1375191 1393264 1488770 1516860 1527990 1556820 1567422 1741580 1774440 1786524 1820232 1833588 2022480 2037320 2075760 2089896 2129328 2233155 2275290 2291985 2351133 2382032 2444784 2612370 2661660 2679786 2699449 2750382 2977540 3033720 3055980 3113640 3134844 3483160 3548880 3573048 3640464 3667176 3918555 4019679 4074640 4125573 4179792 4466310 4550580 4583970 4615187 4702266 5224740 5323320 5359572 5398898 5500764 5955080 6067440 6111960 6227280 6269688 6699465 6875955 6966320 7053399 7146096 7334352 7837110 7890481 8039358 8098347 8251146 8932620 9101160 9167940 9230374 9404532 10449480 10646640 10719144 10797796 11001528 11755665 11910160 12059037 12223920 12539376 13398930 13497245 13751910 13845561 14106798 15674220 15780962 16078716 16196694 16502292 17865240 18202320 18335880 18460748 18809064 20098395 20627865 20898960 21438288 21595592 22003056 23075935 23511330 23671443 24118074 24295041 26797860 26994490 27503820 27691122 28213596 31348440 31561924 32157432 32393388 33004584 35266995 35730480 36671760 36921496 37618128 39452405 40196790 40491735 41255730 41536683 43191184 46151870 47022660 47342886 48236148 48590082 53595720 53988980 55007640 55382244 56427192 60295185 62696880 63123848 64314864 64786776 66009168 69227805 70533990 71014329 72885123 73842992 78904810 80393580 80983470 82511460 83073366 92303740 94045320 94685772 96472296 97180164 107191440 107977960 110015280 110764488 112854384 118357215 120590370 121475205 124610049 126247696 129573552 138455610 141067980 142028658 143070797 145770246 157809620 160787160 161966940 165022920 166146732 184607480 188090640 189371544 192944592 194360328 207683415 213042987 215955920 218655369 221528976 236714430 241180740 242950410 244604911 249220098 276911220 282135960 284057316 286141594 291540492 315619240 321574320 323933880 330045840 332293464 355071645 364425615 369214960 373830147 378743088 388720656 415366830 418195493 426085974 429212391 437310738 473428860 482361480 485900820 489209822 498440196 553822440 564271920 568114632 572283188 583080984 623050245 631238480 639128961 647867760 664586928 710143290 715353985 728851230 733814733 747660294 830733660 836390986 852171948 858424782 874621476 946857720 964722960 971801640 978419644 996880392 1065214935 1093276845 1107644880 1136229264 1144566376 1166161968 1223024555 1246100490 1254586479 1278257922 1287637173 1420286580 1430707970 1457702460 1467629466 1495320588 1661467320 1672781972 1704343896 1716849564 1749242952 1869150735 1893715440 1943603280 1956839288 1993760784 2090977465 2130429870 2146061955 2186553690 2201444199 2289132752 2446049110 2492200980 2509172958 2556515844 2575274346 2840573160 2861415940 2915404920 2935258932 2990641176 3195644805 3322934640 3345563944 3408687792 3433699128 3498485904 3669073665 3738301470 3763759437 3862911519 3913678576 4181954930 4260859740 4292123910 4373107380 4402888398 4892098220 4984401960 5018345916 5113031688 5150548692 5681146320 5722831880 5830809840 5870517864 5981282352 6272932395 6391289610 6438185865 6604332597 6691127888 6867398256 7338147330 7476602940 7527518874 7582752241 7725823038 8363909860 8521719480 8584247820 8746214760 8805776796 9784196440 9968803920 10036691832 10226063376 10301097384 11007220995 11291278311 11445663760 11588734557 11741035728 12545864790 12782579220 12876371730 12964060283 13208665194 14676294660 14953205880 15055037748 15165504482 15451646076 16727819720 17043438960 17168495640 17492429520 17611553592 18818797185 19314557595 19568392880 19812997791 20073383664 20602194768 22014441990 22164361129 22582556622 22748256723 23177469114 25091729580 25565158440 25752743460 25928120566 26417330388 29352589320 29906411760 30110075496 30331008964 30903292152 33021662985 33455639440 33873834933 34336991280 35223107184 37637594370 37913761205 38629115190 38892180849 39625995582 44028883980 44328722258 45165113244 45496513446 46354938228 50183459160 51130316880 51505486920 51856241132 52834660776 56456391555 57943672785 58705178640 60220150992 60662017928 61806584304 64820301415 66043325970 66493083387 67747669866 68244770169 75275188740 75827522410 77258230380 77784361698 79251991164 88057767960 88657444516 90330226488 90993026892 92709876456 99064988955 100366918320 103010973840 103712482264 105669321552 110821805645 112912783110 113741283615 115887345570 116676542547 121324035856 129640602830 132086651940 132986166774 135495339732 136489540338 150550377480 151655044820 154516460760 155568723396 158503982328 169369174665 176115535920 177314889032 180660452976 181986053784 185419752912 194460904245 198129977910 199479250161 204734310507 207424964528 221643611290 225825566220 227482567230 231774691140 233353085094 259281205660 264173303880 265972333548 270990679464 272979080676 301100754960 303310089640 309032921520 311137446792 317007964656 332465416935 338738349330 341223850845 350029627641 354629778064 363972107568 388921808490 396259955820 398958500322 401885868773 409468621014 443287222580 451651132440 454965134460 463549382280 466706170188 518562411320 528346607760 531944667096 541981358928 545958161352 583382712735 598437750483 606620179280 614202931521 622274893584 664930833870 677476698660 682447701690 687095194999 700059255282 777843616980 792519911640 797917000644 803771737546 818937242028 886574445160 903302264880 909930268920 927098764560 933412340376 997396250805 1023671552535 1037124822640 1050088882923 1063889334192 1091916322704 1166765425470 1196875500966 1205657606319 1228405863042 1329861667740 1354953397320 1364895403380 1374190389998 1400118510564 1555687233960 1585039823280 1595834001288 1607543475092 1637874484056 1750148138205 1773148890320 1795313251449 1819860537840 1866824680752 1994792501610 2009429343865 2047343105070 2061285584997 2100177765846 2333530850940 2393751001932 2411315212638 2456811726084 2659723335480 2709906794640 2729790806760 2748380779996 2800237021128 2992188752415 3071014657605 3111374467920 3191668002576 3215086950184 3275748968112 3435475974995 3500296276410 3590626502898 3616972818957 3989585003220 4018858687730 4094686210140 4122571169994 4200355531692 4667061701880 4787502003864 4822630425276 4913623452168 5250444414615 5319446670960 5459581613520 5496761559992 5600474042256 5984377504830 6028288031595 6142029315210 6183856754991 6430173900368 6870951949990 7000592552820 7181253005796 7233945637914 7979170006440 8037717375460 8189372420280 8245142339988 8400711063384 8976566257245 9334123403760 9575004007728 9645260850552 9827246904336 10306427924985 10500888829230 10850918456871 10993523119984 11968755009660 12056576063190 12284058630420 12367713509982 13741903899980 14001185105640 14362506011592 14467891275828 15958340012880 16075434750920 16378744840560 16490284679976 16801422126768 17953132514490 18084864094785 18551570264973 19290521701104 20612855849970 21001777658460 21299951044969 21701836913742 23937510019320 24113152126380 24568117260840 24735427019964 27483807799960 28002370211280 28725012023184 28935782551656 30919283774955 32150869501840 32552755370613 32980569359952 35906265028980 36169728189570 37103140529946 41225711699940 42003555316920 42599902089938 43403673827484 47875020038640 48226304252760 49136234521680 49470854039928 54254592284355 54967615599920 55654710794919 57871565103312 61838567549910 63899853134907 65105510741226 71812530057960 72339456379140 74206281059892 82451423399880 84007110633840 85199804179876 86807347654968 92757851324865 96452608505520 98941708079856 106499755224845 108509184568710 111309421589838 123677135099820 127799706269814 130211021482452 143625060115920 144678912758280 148412562119784 162763776853065 164902846799760 170399608359752 173614695309936 185515702649730 191699559404721 212999510449690 217018369137420 222618843179676 247354270199640 255599412539628 260422042964904 278273553974595 289357825516560 296825124239568 319499265674535 325527553706130 340799216719504 371031405299460 383399118809442 425999020899380 434036738274840 445237686359352 494708540399280 511198825079256 520844085929808 556547107949190 575098678214163 638998531349070 651055107412260 742062810598920 766798237618884 851998041798760 868073476549680 890475372718704 958497797023605 1022397650158512 1113094215898380 1150197356428326 1277997062698140 1302110214824520 1484125621197840 1533596475237768 1703996083597520 1725296034642489 1916995594047210 2226188431796760 2300394712856652 2555994125396280 2604220429649040 2875493391070815 3067192950475536 3450592069284978 3833991188094420 4452376863593520 4600789425713304 5111988250792560 5750986782141630 6901184138569956 7667982376188840 8626480173212445 9201578851426608 11501973564283260 13802368277139912 15335964752377680 17252960346424890 23003947128566520 27604736554279824 34505920692849780 46007894257133040 69011841385699560 138023682771399120
- Sum of all divisors σ(n): 504865049437634094
- Sum of proper divisors (its aliquot sum) s(n): 366841366666234974
- 138023682771399120 is an abundant number, because the sum of its proper divisors (366841366666234974) is greater than itself. Its abundance is 228817683894835854
Bases of 138023682771399120
- Binary: 1111010100101101111001110111001100010111000110001110100002
- Hexadecimal: 0x1EA5BCEE62E31D0
- Base-36: 11R1B8IO7H00
Squares and roots of 138023682771399120
- 138023682771399120 squared (1380236827713991202) is 19050537005779818262976282336774400
- 138023682771399120 cubed (1380236827713991203) is 2629425276310553279732817488612999466800115798528000
-
The
square root of 138023682771399120 is 371515386.9914395887 -
The
cube root of 138023682771399120 is 516794.4849599419 - Being both a perfect square and a perfect cube, 138023682771399120 is also a
perfect sixth number .
Scales and comparisons
How big is 138023682771399120?- 138,023,682,771,399,120 seconds is equal to 4,388,726,176 years, 44 weeks, 16 hours, 12 minutes.
-
To count from 1 to 138,023,682,771,399,120 would take you about thirteen billion, one hundred sixty-six million, one hundred seventy-eight thousand, five hundred thirty 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 138023682771399120 cubic inches would be around 43066.2 feet tall.
Recreational maths with 138023682771399120
- 138023682771399120 backwards is 021993177286320831
- 138023682771399120 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138023682771399120's digits is 72
- More coming soon!
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"Number 138023682771399120 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138023682771399120 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138023682771399120/
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The information we have on file for 138023682771399120 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 138023682771399120, math, Factors of 138023682771399120, curriculum, school, college, exams, university, Prime factorization of 138023682771399120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, twenty-three trillion, six hundred eighty-two billion, seven hundred seventy-one million, three hundred ninety-nine thousand, one hundred twenty.