138348720276715728
138,348,720,276,715,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 138348720276715728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 900 divisors.
138348720276715728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 138348720276715728:
24 × 32 × 133 × 412 × 1274
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 41 × 41 × 127 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138348720276715728 from the Numbermatics database.
Names of 138348720276715728
- Cardinal: 138348720276715728 can be written as One hundred thirty-eight quadrillion, three hundred forty-eight trillion, seven hundred twenty billion, two hundred seventy-six million, seven hundred fifteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38348720276715728 × 1017
Factors of 138348720276715728
Divisors of 138348720276715728
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 127 144 156 164 169 208 234 246 254 312 328 338 369 381 468 492 507 508 533 624 656 676 738 762 936 984 1014 1016 1066 1143 1352 1476 1521 1524 1599 1651 1681 1872 1968 2028 2032 2132 2197 2286 2704 2952 3042 3048 3198 3302 3362 4056 4264 4394 4572 4797 4953 5043 5207 5904 6084 6096 6396 6591 6604 6724 6929 8112 8528 8788 9144 9594 9906 10086 10414 12168 12792 13182 13208 13448 13858 14859 15129 15621 16129 17576 18288 19188 19773 19812 20172 20787 20828 21463 21853 24336 25584 26364 26416 26896 27716 29718 30258 31242 32258 35152 38376 39546 39624 40344 41574 41656 42926 43706 46863 48387 52728 55432 59436 60516 62361 62484 64389 64516 65559 67691 76752 79092 79248 80688 83148 83312 85852 87412 90077 93726 96774 105456 110864 118872 121032 124722 124968 128778 129032 131118 135382 145161 158184 166296 171704 174824 180154 187452 193167 193548 196677 203073 209677 213487 237744 242064 249444 249936 257556 258064 262236 270231 270764 279019 284089 290322 316368 332592 343408 349648 360308 374904 386334 387096 393354 406146 419354 426974 498888 515112 524472 540462 541528 558038 568178 580644 609219 629031 640461 661289 720616 749808 772668 774192 786708 810693 812292 837057 838708 852267 853948 879983 997776 1030224 1048944 1080924 1083056 1116076 1136356 1161288 1218438 1258062 1280922 1322578 1441232 1545336 1573416 1621386 1624584 1674114 1677416 1704534 1707896 1759966 1887093 1921383 1983867 2048383 2161848 2232152 2272712 2322576 2436876 2511171 2516124 2556801 2561844 2639949 2645156 2725801 2775331 3090672 3146832 3242772 3249168 3348228 3354832 3409068 3415792 3519932 3693157 3774186 3842766 3967734 4096766 4323696 4464304 4545424 4873752 5022342 5032248 5113602 5123688 5279898 5290312 5451602 5550662 5951601 6145149 6485544 6696456 6818136 7039864 7386314 7548372 7685532 7919847 7935468 8177403 8193532 8325993 8596757 9747504 10044684 10064496 10227204 10247376 10559796 10580624 10903204 11079471 11101324 11439779 11903202 12290298 12971088 13392912 13636272 14079728 14772628 15096744 15371064 15839694 15870936 16354806 16387064 16651986 17193514 18435447 20089368 20454408 21119592 21806408 22158942 22202648 22879558 23806404 24532209 24580596 24977979 25790271 26628979 27112849 29545256 30193488 30742128 31679388 31741872 32709612 32774128 33238413 33303972 34319337 34387028 35435413 36079303 36870894 40178736 40908816 42239184 43612816 44317884 44405296 45759116 47612808 49064418 49161192 49955958 51580542 53257958 54225698 59090512 63358776 65419224 66476826 66607944 68638674 68774056 70870826 72158606 73741788 77370813 79886937 81338547 83983703 88635768 91518232 95225616 98128836 98322384 99911916 102958011 103161084 106306239 106515916 108237909 108451396 111757841 126717552 130838448 132953652 133215888 137277348 137548112 141741652 144317212 147483576 154741626 159773874 162677094 167967406 177271536 183036464 196257672 199823832 205916022 206322168 212612478 213031832 216475818 216902792 223515682 239660811 244015641 251951109 260144641 265907304 274554696 283483304 288634424 294967152 309483252 318918717 319547748 324713727 325354188 335273523 335934812 346176727 352467037 392515344 399647664 411832044 412644336 425224956 426063664 432951636 433805584 447031364 469030939 479321622 488031282 503902218 520289282 531814608 549109392 566966608 577268848 618966504 637837434 639095496 649427454 650708376 670547046 671869624 692353454 704934074 755853327 780433923 823664088 850449912 865903272 894062728 938061878 958643244 976062564 1005820569 1007804436 1038530181 1040578564 1057401111 1091788139 1237933008 1275674868 1278190992 1298854908 1301416752 1341094092 1343739248 1384706908 1407092817 1409868148 1452851933 1511706654 1560867846 1647328176 1700899824 1731806544 1788125456 1876123756 1917286488 1952125128 2011641138 2015608872 2077060362 2081157128 2114802222 2183576278 2341301769 2551349736 2597709816 2682188184 2769413816 2814185634 2819736296 2905703866 3023413308 3115590543 3121735692 3172203333 3275364417 3381880333 3443331823 3752247512 3834572976 3904250256 4023282276 4031217744 4154120724 4162314256 4221278451 4229604444 4358555799 4367152556 4500297451 4582071481 4682603538 5102699472 5195419632 5364376368 5538827632 5628371268 5639472592 5811407732 6046826616 6231181086 6243471384 6344406666 6550728834 6763760666 6886663646 7504495024 8046564552 8308241448 8442556902 8459208888 8717111598 8734305112 9000594902 9164142962 9365207076 9826093251 10145640999 10329995469 10665930281 11256742536 11622815464 12093653232 12462362172 12486942768 12688813332 13075667397 13101457668 13500892353 13527521332 13746214443 13773327292 14193245807 16093129104 16616482896 16885113804 16918417776 17434223196 17468610224 18001189804 18328285924 18730414152 19652186502 20291281998 20659990938 21331860562 22513485072 23245630928 24924724344 25377626664 26151334794 26202915336 27001784706 27055042664 27492428886 27546654584 28386491614 30436922997 30989986407 31997790843 33770227608 34868446392 36002379608 36656571848 37460828304 39304373004 40502677059 40582563996 41238643329 41319981876 42579737421 42663721124 43964444329 44763313699 49849448688 50755253328 52302669588 52405830672 54003569412 54110085328 54984857772 55093309168 56772983228 59566929253 60873845994 61979972814 63995581686 67540455216 69736892784 72004759216 73313143696 78608746008 81005354118 81165127992 82477286658 82639963752 85159474842 85327442248 87928888658 89526627398 95993372529 104605339176 108007138824 109969715544 113545966456 119133858506 121747691988 123959945628 127739212263 127991163372 131893332987 134289941097 138657093653 157217492016 162010708236 162330255984 164954573316 165279927504 170318949684 170654884496 175857777316 178700787759 179053254796 184512195491 191986745058 209210678352 216014277648 219939431088 227091932912 238267717012 243495383976 247919891256 255478424526 255982326744 263786665974 268579882194 277314187306 324021416472 329909146632 340637899368 351715554632 357401575518 358106509592 369024390982 383973490116 395679998961 402869823291 415971280959 437303141521 476535434024 486990767952 495839782512 510956849052 511964653488 527573331948 536102363277 537159764388 553536586473 554628374612 571537776277 581923078087 648042832944 659818293264 681275798736 703431109264 714803151036 716213019184 738048781964 767946980232 791359997922 805739646582 831942561918 874606283042 953070868048 1021913698104 1055146663896 1072204726554 1074319528776 1107073172946 1109256749224 1143075552554 1163846156174 1247913842877 1311909424563 1429606302072 1476097563928 1535893960464 1582719995844 1611479293164 1660609759419 1663885123836 1714613328831 1745769234261 1749212566084 1802542217489 2043827396208 2110293327792 2144409453108 2148639057552 2214146345892 2218513498448 2286151105108 2327692312348 2495827685754 2623818849126 2859212604144 2952195127856 3165439991688 3222958586328 3321219518838 3327770247672 3429226657662 3491538468522 3498425132168 3605084434978 3935728273689 4288818906216 4428292691784 4572302210216 4655384624696 4991655371508 5143839986493 5237307702783 5247637698252 5407626652467 5684940839773 6330879983376 6445917172656 6642439037676 6655540495344 6858453315324 6983076937044 6996850264336 7210168869956 7565000015131 7871456547378 8577637812432 8856585383568 9144604420432 9310769249392 9983310743016 10287679972986 10474615405566 10495275396504 10815253304934 11369881679546 13284878075352 13716906630648 13966153874088 14420337739912 15130000030262 15742913094756 16222879957401 17054822519319 19966621486032 20575359945972 20949230811132 20990550793008 21630506609868 22695000045393 22739763359092 23433048827357 26569756150704 27433813261296 27932307748176 28840675479824 30260000060524 31485826189512 32445759914802 34109645038638 41150719891944 41898461622264 43261013219736 45390000090786 45479526718184 46866097654714 51164467557957 60520000121048 62971652379024 64891519829604 68085000136179 68219290077276 70299146482071 73904230917049 82301439783888 83796923244528 86522026439472 90780000181572 90959053436368 93732195309428 102328935115914 121040000242096 129783039659208 136170000272358 136438580154552 140598292964142 147808461834098 181560000363144 187464390618856 204657870231828 210897439446213 221712692751147 259566079318416 272340000544716 272877160309104 281196585928284 295616923668196 363120000726288 374928781237712 409315740463656 421794878892426 443425385502294 544680001089432 562393171856568 591233847336392 665138078253441 818631480927312 843589757784852 886850771004588 960755001921637 1089360002178864 1124786343713136 1182467694672784 1330276156506882 1687179515569704 1773701542009176 1921510003843274 2660552313013764 2882265005764911 3374359031139408 3547403084018352 3843020007686548 5321104626027528 5764530011529822 7686040015373096 8646795017294733 10642209252055056 11529060023059644 15372080030746192 17293590034589466 23058120046119288 34587180069178932 46116240092238576 69174360138357864 138348720276715728
- Sum of all divisors σ(n): 433326591048079820
- Sum of proper divisors (its aliquot sum) s(n): 294977870771364092
- 138348720276715728 is an abundant number, because the sum of its proper divisors (294977870771364092) is greater than itself. Its abundance is 156629150494648364
Bases of 138348720276715728
- Binary: 1111010111000001101101101100101110011100100111000110100002
- Hexadecimal: 0x1EB836D973938D0
- Base-36: 11U8J0OQNIS0
Squares and roots of 138348720276715728
- 138348720276715728 squared (1383487202767157282) is 19140368402204933621907914122569984
- 138348720276715728 cubed (1383487202767157283) is 2648045474069938720880258889105405602208914353508352
-
The
square root of 138348720276715728 is 371952577.9944477387 -
The
cube root of 138348720276715728 is 517199.8402824709
Scales and comparisons
How big is 138348720276715728?- 138,348,720,276,715,728 seconds is equal to 4,399,061,364 years, 5 weeks, 5 days, 1 hour, 28 minutes, 48 seconds.
-
To count from 1 to 138,348,720,276,715,728 would take you about thirteen billion, one hundred ninety-seven million, one hundred eighty-four thousand and ninety-two 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 138348720276715728 cubic inches would be around 43100 feet tall.
Recreational maths with 138348720276715728
- 138348720276715728 backwards is 827517672027843831
- The number of decimal digits it has is: 18
- The sum of 138348720276715728's digits is 81
- 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 138348720276715728 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 138348720276715728 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138348720276715728/
Chicago style:
Numbermatics. 2024. "Number 138348720276715728 - Facts about the integer". https://numbermatics.com/n/138348720276715728/
The information we have on file for 138348720276715728 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 138348720276715728, math, Factors of 138348720276715728, curriculum, school, college, exams, university, Prime factorization of 138348720276715728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred forty-eight trillion, seven hundred twenty billion, two hundred seventy-six million, seven hundred fifteen thousand, seven hundred twenty-eight.