138135732123746500
138,135,732,123,746,500 is an even composite number composed of six prime numbers multiplied together.
What does the number 138135732123746500 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138135732123746500 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138135732123746500:
22 × 53 × 11 × 133 × 193 × 12912
(2 × 2 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 19 × 19 × 19 × 1291 × 1291)See below for interesting mathematical facts about the number 138135732123746500 from the Numbermatics database.
Names of 138135732123746500
- Cardinal: 138135732123746500 can be written as One hundred thirty-eight quadrillion, one hundred thirty-five trillion, seven hundred thirty-two billion, one hundred twenty-three million, seven hundred forty-six thousand, five hundred.
Scientific notation
- Scientific notation: 1.381357321237465 × 1017
Factors of 138135732123746500
Divisors of 138135732123746500
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 125 130 143 169 190 209 220 247 250 260 275 286 325 338 361 380 418 475 494 500 550 572 650 676 715 722 836 845 950 988 1045 1100 1235 1291 1300 1375 1430 1444 1625 1690 1805 1859 1900 2090 2197 2375 2470 2582 2717 2750 2860 3211 3250 3380 3575 3610 3718 3971 4180 4225 4394 4693 4750 4940 5164 5225 5434 5500 6175 6422 6455 6500 6859 7150 7220 7436 7942 8450 8788 9025 9295 9386 9500 10450 10868 10985 12350 12844 12910 13585 13718 14201 14300 15884 16055 16783 16900 17875 18050 18590 18772 19855 20900 21125 21970 23465 24167 24529 24700 25820 26125 27170 27436 28402 30875 32110 32275 33566 34295 35321 35750 36100 37180 39710 41743 42250 43940 45125 46475 46930 48334 49058 51623 52250 54340 54925 56804 61009 61750 64220 64550 67132 67925 68590 70642 71005 71500 75449 79420 80275 83486 83915 84500 89167 90250 92950 93860 96668 98116 99275 103246 104500 109850 117325 120835 122018 122645 123500 129100 135850 137180 141284 142010 150898 160550 161375 166972 167830 171475 176605 178334 180500 184613 185900 198550 206492 208715 218179 219700 232375 234650 241670 244036 245290 258115 269819 271700 274625 284020 301796 305045 318877 321100 322750 335660 339625 342950 353210 355025 356668 369226 377245 397100 401375 417430 419575 436358 445835 459173 464750 466051 469300 483340 490580 496375 516230 539638 549250 586625 604175 610090 613225 637754 645500 671099 679250 685900 706420 710050 738452 754490 793117 802750 834860 839150 857375 872716 883025 891670 918346 923065 929500 932102 980837 992750 1032460 1043575 1079276 1090895 1098500 1159171 1173250 1208350 1220180 1226450 1275508 1290575 1342198 1349095 1358500 1420100 1508980 1525225 1586234 1594385 1605500 1666681 1678300 1714750 1766050 1775125 1783340 1836692 1846130 1864204 1886225 1961674 1985500 2087150 2097875 2181790 2229175 2295865 2318342 2330255 2346500 2399969 2416700 2452900 2581150 2684396 2698190 2836327 3020875 3050450 3066125 3172468 3188770 3333362 3355495 3429500 3507647 3532100 3550250 3692260 3772450 3923348 3965585 4145401 4174300 4195750 4363580 4415125 4458350 4591730 4615325 4636684 4660510 4799938 4904185 5126561 5162300 5217875 5396380 5454475 5672654 5795855 6041750 6058663 6100900 6132250 6377540 6452875 6666724 6710990 6745475 7015294 7100500 7544900 7626125 7931170 7971925 8290802 8333405 8391500 8724287 8830250 8854969 8916700 9183460 9230650 9321020 9431125 9599876 9808370 10253122 10435750 10908950 11145875 11345308 11479325 11591710 11651275 11999845 12083500 12117326 12264500 12750881 12905750 13421980 13490950 14030588 14181635 15069223 15252250 15862340 15943850 16581604 16666810 16777475 17448574 17538235 17660500 17709938 18333491 18461300 18862250 19616740 19827925 20506244 20727005 20871500 21666853 21817900 22291750 22958650 23076625 23183420 23302550 23999690 24234652 24520925 25501762 25632805 25811500 26981900 27272375 28363270 28979275 30138446 30293315 30504500 31199597 31666939 31887700 33333620 33554950 33727375 34897148 35076470 35419876 36666982 37724500 39655850 39859625 41454010 41667025 43333706 43621435 44274845 44583500 45599411 45917300 46153250 46605100 47999380 49041850 51003524 51265610 53890213 54544750 56726540 57396625 57958550 58256375 59999225 60276892 60586630 62399194 63333878 63754405 66645293 67109900 67454750 70152940 70908175 73333964 75346115 78762619 79311700 79719250 82908020 83334050 83887375 86667412 87242870 87691175 88549690 91198822 91667455 92306500 97404659 98083700 99139625 102531220 103635025 107780426 108334265 109089500 114793250 115114597 115917100 116512750 119998450 121173260 122604625 124798388 126667756 127508810 128164025 133290586 134909500 141816350 144896375 150692230 151466575 155997985 157525238 158334695 159438500 165761453 166668100 167774750 174485740 175382350 177099380 182397644 183334910 194809318 198279250 207270050 208335125 215560852 216668530 218107175 221374225 227997055 229586500 230229194 233025500 238335383 239996900 245209250 255017620 256328050 266581172 269451065 281669089 283632700 289792750 299996125 301384460 302933150 311995970 315050476 316669390 318772025 331522906 333226465 335549500 348336329 350764700 354540875 366669820 376730575 389618636 393813095 396558500 411670207 414540100 416670250 433337060 436214350 438455875 442748450 455994110 458337275 460458388 476670766 487023295 490418500 512656100 518175125 538902130 541671325 563338178 575572985 579585500 592792343 599992250 601671841 605866300 623991940 633338780 637544050 640820125 663045812 666452930 696672658 709081750 753461150 757332875 779989925 787626190 791673475 823340414 828807265 833340500 866388809 872428700 876911750 885496900 911988220 916674550 953341532 974046590 1023914047 1036350250 1077804260 1083342650 1090535875 1106871125 1126676356 1139985275 1151145970 1185584686 1191676915 1199984500 1203343682 1266260567 1275088100 1281640250 1332905860 1347255325 1393345316 1408345445 1418163500 1496489761 1506922300 1514665750 1559979850 1575252380 1583346950 1593860125 1646680828 1657614530 1666132325 1732777618 1741681645 1753823500 1833349100 1883652875 1948093180 1969065475 2047828094 2058351035 2072700500 2166685300 2181071750 2213742250 2279970550 2291686375 2302291940 2371169372 2383353830 2406687364 2435116475 2532521134 2563280500 2694510650 2708356625 2816690890 2877864925 2963961715 2992979522 3008359205 3029331500 3098359979 3119959700 3166693900 3187720250 3315229060 3332264650 3465555236 3483363290 3661698157 3767305750 3899949625 3938130950 3958367375 4095656188 4116702070 4144036325 4331944045 4362143500 4427484500 4528372277 4559941100 4583372750 4766707660 4870232950 5065042268 5119570235 5351712691 5389021300 5416713250 5633381780 5699926375 5755729850 5927923430 5958384575 5985959044 6016718410 6196719958 6331302835 6375440500 6618390251 6664529300 6736276625 6966726580 7041727225 7323396314 7482448805 7534611500 7799899250 7821733933 7876261900 7916734750 8233404140 8288072650 8330661625 8663888090 8708408225 9056744554 9166745500 9740465900 9845327375 10239140470 10291755175 10703425382 10833426500 11263054517 11399852750 11431764979 11511459700 11855846860 11916769150 12033436820 12175582375 12393439916 12662605670 13236780502 13472553250 14083454450 14389324625 14646792628 14819808575 14964897610 15041796025 15491799895 15599798500 15643467866 15833469500 16461387371 16576145300 16661323250 17327776180 17416816450 18113489108 18308490785 19454366893 19690654750 20478280940 20583510350 20720181625 21406850764 21659720225 22526109034 22641861385 22799705500 22863529958 23833538300 24351164750 25325211340 25597851175 26473561004 26758563455 26945106500 28166908900 28778649250 29639617150 29791922875 29929795220 30083592050 30983599790 31286935732 31656514175 32922774742 33091951255 33322646500 34833632900 35208636125 36616981570 37412244025 38908733786 39108669665 39381309500 40278679727 41167020700 41440363250 43319440450 43542041125 45052218068 45283722770 45727059916 48702329500 51195702350 51458775875 53517126910 56315272585 57158824895 57557298500 58868839601 59279234300 59583845750 60167184100 61967199580 63313028350 65845549484 66183902510 69572264983 70417272250 73233963140 74099042875 74824488050 75208980125 77458999475 77817467572 78217339330 80557359454 82306936855 82880726500 86039073263 86638880900 87084082250 90567445540 91542453925 97271834465 101682541129 102391404700 102917551750 107034253820 108298601125 112630545170 113209306925 114317649790 117737679202 119167691500 125749414769 126626056700 127989255875 132367805020 133792817275 139144529966 140834544500 148198085750 148612944727 149648976100 150417960250 154917998950 156434678660 158282570875 161114718908 164613873710 165459756275 172078146526 174168164500 183084907850 187061220125 194543668930 195543348325 201393398635 203365082258 205835103500 213998035823 216597202250 225261090340 226418613850 228635299580 235475358404 251498829538 255978511750 267585634550 278289059932 281576362925 285794124475 294344198005 296396171500 297225889454 300835920500 309835997900 316565141750 329227747420 330919512550 344156293052 347861324915 366169815700 374122440250 387294997375 389087337860 391086696650 402786797270 406730164516 411534684275 427996071646 430195366315 433194404500 452837227700 457712269625 486359172325 502997659076 508412705645 511957023500 535171269100 563152725850 566046534625 571588248950 588688396010 594451778908 628747073845 633130283500 661839025100 668964086375 695722649830 743064723635 748244880500 765294914813 774589994750 782173393300 805573594540 823069368550 827298781375 855992143292 860390732630 915424539250 972718344650 977716741625 1006966993175 1016825411290 1069990179115 1118507952419 1126305451700 1132093069250 1143176497900 1177376792020 1257494147690 1321873034677 1337928172750 1391445299660 1407881814625 1428970622375 1471720990025 1486129447270 1530589829626 1549179989500 1634742391997 1646138737100 1654597562750 1720781465260 1739306624575 1830849078500 1931968281451 1945436689300 1955433483250 2013933986350 2033650822580 2057673421375 2139980358230 2150976831575 2237015904838 2264186138500 2431795861625 2514988295380 2542063528225 2643746069354 2675856345500 2815763629250 2857941244750 2943441980050 2972258894540 3061179659252 3143735369225 3269484783994 3309195125500 3478613249150 3715323618175 3826474574065 3863936562902 3910866966500 4027867972700 4115346842750 4279960716460 4301953663150 4474031809676 4863591723250 5034834965875 5084127056450 5287492138708 5349950895575 5592539762095 5631527258500 5715882489500 5886883960100 6287470738450 6538969567988 6609365173385 6957226498300 7358604950125 7430647236350 7652949148130 7727873125804 8173711959985 8230693685500 8603907326300 8696533122875 9659841407255 9727183446500 10069669931750 10168254112900 10699901791150 10754884157875 11185079524190 12574941476900 12710317641125 13218730346770 14540603381447 14717209900250 14861294472700 15305898296260 15718676846125 16347423919970 17393066245750 18576618090875 19132372870325 19319682814510 20139339863500 21251651095961 21399803582300 21509768315750 22370159048380 25115587658863 25420635282250 26437460693540 26749754477875 27962698810475 29081206762894 29434419800500 31437353692250 32694847839940 33046825866925 34786132491500 37153236181750 38264745740650 38639365629020 40868559799925 42503302191922 43019536631500 48299207036275 50231175317726 50841270564500 53499508955750 55925397620950 58162413525788 62874707384500 66093651733850 72703016907235 74306472363500 76529491481300 81737119599850 85006604383844 95661864351625 96598414072550 100462350635452 106258255479805 106999017911500 111850795241900 125577938294315 132187303467700 139813494052375 145406033814470 163474239199700 165234129334625 191323728703250 193196828145100 204342798999625 212516510959610 241496035181375 251155876588630 276271464247493 279626988104750 290812067628940 330468258669250 363515084536175 382647457406500 408685597999250 425033021919220 482992070362750 502311753177260 531291277399025 552542928494986 559253976209500 627889691471575 660936517338500 727030169072350 817371195998500 965984140725500 1062582554798050 1105085856989972 1255779382943150 1381357321237465 1454060338144700 1817575422680875 2125165109596100 2511558765886300 2656456386995125 2762714642474930 3139448457357875 3635150845361750 5312912773990250 5525429284949860 6278896914715750 6906786606187325 7270301690723500 10625825547980500 12557793829431500 13813573212374650 27627146424749300 34533933030936625 69067866061873250 138135732123746500
- Sum of all divisors σ(n): 376624374989990400
- Sum of proper divisors (its aliquot sum) s(n): 238488642866243900
- 138135732123746500 is an abundant number, because the sum of its proper divisors (238488642866243900) is greater than itself. Its abundance is 100352910742497400
Bases of 138135732123746500
- Binary: 1111010101100000110110111011011000000011001000000110001002
- Hexadecimal: 0x1EAC1B76C0640C4
- Base-36: 11S513A3KEDG
Squares and roots of 138135732123746500
- 138135732123746500 squared (1381357321237465002) is 19081480489363450735189196262250000
- 138135732123746500 cubed (1381357321237465003) is 2635834277403204906728312040579657592266519625000000
-
The
square root of 138135732123746500 is 371666156.8178443927 -
The
cube root of 138135732123746500 is 516934.2938765483
Scales and comparisons
How big is 138135732123746500?- 138,135,732,123,746,500 seconds is equal to 4,392,288,999 years, 34 weeks, 2 days, 16 hours, 41 minutes, 40 seconds.
-
To count from 1 to 138,135,732,123,746,500 would take you about thirteen billion, one hundred seventy-six million, eight hundred sixty-six thousand, nine hundred ninety-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 138135732123746500 cubic inches would be around 43077.9 feet tall.
Recreational maths with 138135732123746500
- 138135732123746500 backwards is 005647321237531831
- The number of decimal digits it has is: 18
- The sum of 138135732123746500's digits is 61
- More coming soon!
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"Number 138135732123746500 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138135732123746500 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138135732123746500/
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The information we have on file for 138135732123746500 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 138135732123746500, math, Factors of 138135732123746500, curriculum, school, college, exams, university, Prime factorization of 138135732123746500, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred thirty-five trillion, seven hundred thirty-two billion, one hundred twenty-three million, seven hundred forty-six thousand, five hundred.