138772519110225
138,772,519,110,225 is an odd composite number composed of eight prime numbers multiplied together.
138772519110225 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138772519110225:
32 × 52 × 7 × 112 × 13 × 172 × 19 × 1012
(3 × 3 × 5 × 5 × 7 × 11 × 11 × 13 × 17 × 17 × 19 × 101 × 101)See below for interesting mathematical facts about the number 138772519110225 from the Numbermatics database.
Names of 138772519110225
- Cardinal: 138772519110225 can be written as One hundred thirty-eight trillion, seven hundred seventy-two billion, five hundred nineteen million, one hundred ten thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38772519110225 × 1014
Factors of 138772519110225
Divisors of 138772519110225
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 7 9 11 13 15 17 19 21 25 33 35 39 45 51 55 57 63 65 75 77 85 91 95 99 101 105 117 119 121 133 143 153 165 171 175 187 195 209 221 225 231 247 255 273 275 285 289 303 315 323 325 357 363 385 399 425 429 455 475 495 505 525 561 585 595 605 627 663 665 693 707 715 741 765 819 825 847 855 867 909 935 969 975 1001 1045 1071 1089 1105 1111 1155 1197 1235 1275 1287 1309 1313 1365 1425 1445 1463 1515 1547 1573 1575 1615 1683 1717 1729 1785 1815 1881 1919 1925 1989 1995 2023 2057 2121 2145 2223 2261 2275 2299 2431 2475 2525 2541 2601 2717 2805 2907 2925 2975 3003 3025 3135 3179 3315 3325 3333 3465 3535 3553 3575 3705 3757 3825 3927 3939 4095 4199 4235 4275 4335 4389 4545 4641 4675 4719 4845 5005 5151 5187 5225 5355 5445 5491 5525 5555 5757 5775 5985 6069 6171 6175 6363 6435 6545 6565 6783 6825 6897 7225 7293 7315 7575 7623 7735 7777 7865 8075 8151 8415 8585 8645 8925 9009 9075 9191 9405 9537 9595 9945 9975 9999 10115 10201 10285 10605 10659 10725 11011 11115 11271 11305 11495 11781 11817 12019 12155 12221 12597 12705 13005 13167 13433 13585 13923 14025 14157 14399 14443 14535 15015 15453 15561 15675 15895 16093 16473 16575 16665 17017 17271 17325 17675 17765 18207 18513 18525 18785 18887 19019 19635 19695 20349 20475 20691 20995 21109 21175 21675 21879 21945 22253 22321 22725 23205 23331 23595 24225 24453 24871 24947 25025 25755 25935 26299 26741 26775 27225 27455 27573 27775 28611 28785 29189 29393 29887 29925 30345 30603 30855 31815 31977 32175 32623 32725 32825 33033 33813 33915 34485 34969 36057 36465 36575 36663 37791 38115 38437 38675 38885 39083 39325 40299 40755 41327 42075 42925 43197 43225 43329 45045 45955 46189 47025 47685 47975 48279 49419 49725 49995 50575 51005 51051 51425 53025 53295 55055 55575 56355 56525 56661 57057 57475 58905 59085 60095 60401 60775 61105 62985 63327 63525 65025 65835 66759 66963 67165 67925 69615 69993 70785 71383 71407 71995 72215 72675 74613 74841 75075 77265 77805 78897 79475 80223 80465 82365 82719 83325 85085 85547 86355 87567 88179 88825 89661 91035 91809 92565 93925 94435 95095 97869 98175 98475 99099 101101 101745 103455 104907 104975 105545 108171 109395 109725 109989 111265 111605 112211 115311 116025 116655 117249 117975 120897 122265 123981 124355 124735 128775 129591 129675 129987 131495 132209 132613 133705 137275 137865 138567 143055 143925 144837 145945 146965 147763 149435 151725 153015 153153 154275 156247 158873 159075 159885 163115 165165 169065 169575 169983 171171 172425 173417 174629 174845 180285 181203 182325 183315 187187 188955 189981 190575 192185 193819 194425 195415 200277 200889 201495 203775 204323 206635 207757 209209 214149 214221 215985 216645 223839 224523 225225 228361 229775 230945 232199 236691 238425 240669 241395 244783 245531 247095 249975 255025 255255 256641 262701 264537 266475 268983 273581 274417 275275 281775 283305 285285 289289 293607 294525 295425 300475 302005 303303 305525 314721 314925 316635 321079 323323 329175 333795 334815 335825 336633 345933 348075 349965 351747 353925 356915 357035 358853 359975 361075 371943 373065 374205 379457 386325 389025 394485 396627 397839 401115 402325 411825 413595 415701 422807 424099 425425 427735 431775 437835 440895 443289 448305 454597 455175 459045 462825 468741 472175 475475 476619 489345 495495 499681 505505 508079 508725 517275 520251 523887 524535 527725 540855 543609 546975 549945 554591 556325 558025 561055 561561 576555 581457 583275 586245 604485 611325 612969 619905 621775 623271 623675 627627 642447 642663 647955 649935 657475 661045 663065 664411 668525 685083 689325 692835 696597 715275 724185 729725 734349 734825 736593 738815 747175 765075 765765 769923 781235 785213 785477 794365 799425 815575 820743 823251 825825 845325 849915 855855 867085 867867 873145 874225 901425 906015 909909 916575 928291 935935 944775 949905 960925 963237 969095 969969 977075 1001385 1004445 1007475 1009899 1021615 1033175 1038785 1046045 1070745 1071105 1076559 1079925 1083225 1112111 1119195 1122615 1138371 1141805 1154725 1160995 1183455 1189881 1193517 1203345 1206975 1213919 1223915 1227655 1234321 1235475 1268421 1272297 1276275 1283205 1313505 1322685 1329867 1344915 1356733 1363791 1367905 1372085 1406223 1416525 1426425 1429857 1446445 1454299 1458743 1468035 1499043 1510025 1516515 1524237 1560753 1571661 1573605 1583175 1605395 1616615 1625393 1663773 1668975 1674075 1683165 1684683 1718717 1729665 1744371 1749825 1758735 1784575 1785175 1794265 1838907 1859715 1865325 1869813 1871025 1882881 1897285 1907587 1920919 1972425 1983135 1989195 1993233 2005575 2055249 2067975 2078505 2089791 2114035 2120495 2132009 2138675 2189175 2203047 2204475 2209779 2216445 2241525 2247553 2254421 2272985 2295225 2343705 2355639 2356431 2383095 2446725 2462229 2469753 2477475 2498405 2511971 2519647 2527525 2540395 2601255 2603601 2619435 2622675 2656199 2700841 2704275 2718045 2749725 2772955 2784873 2805275 2807805 2882775 2889711 2907285 2909907 2931225 2948089 2968693 3018587 3022425 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616150601 618077075 619965775 640552605 642509985 647800725 648018525 663320025 667955925 671582835 679182075 681008559 688714455 690792025 692902925 710142615 713758617 715990275 722077785 728177983 730454725 734420995 741357675 757016715 761127213 765840075 769739685 793688805 794670525 800224425 804828297 810724475 816390575 818354823 820823465 840205365 850764915 867952085 872371643 873480825 888161175 899513979 906103825 906921015 914631861 928648035 939156075 944255565 950854905 958128925 964200237 970064095 1001483175 1006582665 1010908899 1037900745 1046447325 1049645025 1055344455 1067587675 1070156307 1070849975 1077635559 1112538735 1115938395 1119304725 1135014265 1147857425 1176287511 1183571025 1189597695 1196057049 1203462975 1236710475 1243425645 1247225265 1261694525 1264730181 1268545355 1282899475 1314818505 1321957791 1322814675 1341380495 1363924705 1372612725 1400342275 1409215731 1413521967 1417941525 1459304055 1469503035 1477482237 1499189965 1511535025 1524386435 1547746725 1562313753 1573759275 1584758175 1607000395 1622178675 1630986885 1665436773 1677637775 1684848165 1724632065 1729834575 1746115371 1758907425 1783593845 1796059265 1848451803 1854231225 1859897325 1909494587 1921657815 1927529955 1943402175 1944055575 1960479185 1982662825 1993428415 2043025677 2066143365 2072376075 2078708775 2107883635 2134141009 2184533949 2191364175 2203262985 2271050145 2283381639 2297520225 2309219055 2348692885 2355869945 2414484891 2432173425 2449171725 2455064469 2462470395 2497031383 2520616095 2603856255 2617114929 2698541937 2718311475 2720763045 2743895583 2775727955 2790799781 2808080275 2874386775 2892600711 2910192285 2951037089 3004449525 3019747995 3080753005 3202763025 3210468921 3212549925 3232906677 3298217923 3357914175 3405042795 3443572275 3528862533 3550713075 3568793085 3588171147 3610388925 3640889915 3672104975 3785083575 3794190543 3805636065 3848698425 3968444025 4024141485 4091774115 4104117325 4201026825 4227647193 4240565901 4253824575 4313054207 4339760425 4361858215 4497569895 4534605075 4573159305 4637343997 4643240175 4721277825 4754274525 4821001185 4850320475 4996310319 5032913325 5054544495 5097245881 5182913879 5189503725 5276722275 5350781535 5388177795 5545355409 5562693675 5579691975 5675071325 5728483761 5881437555 5947988475 5980285245 6106601501 6217128225 6236126325 6323650905 6342726775 6402423027 6553601847 6574092525 6609788955 6706902475 6777656611 6819623525 7046078655 7067609835 7296520275 7347515175 7387411185 7491094149 7495949825 7621932175 7811568765 7851344787 8009957813 8035001975 8154934425 8327183865 8372399343 8424240825 8623160325 8730576855 8853111267 8917969225 8980296325 9242259015 9547472935 9608289075 9637649775 9802395925 9894653769 9967142075 10215128385 10330716825 10539418175 10670705045 10922669745 11016314925 11355250725 11416908195 11546095275 11743464425 11779349725 12072424455 12275322345 12312351975 12485156915 12603080475 12939162621 13019281275 13085574645 13492709685 13603815225 13719477915 13878639775 13912031991 13953998905 14463003555 14550961425 14755185445 15098739975 15291737643 15403765025 15548741637 16052344605 16164533385 16491089615 17025213975 17185451283 17644312665 17843965425 17940855735 18204449575 18319804503 18970952715 19028180325 19207269081 20120707425 20332969833 20458870575 21138235965 21202829505 21565271035 21809291075 22473282447 22487849475 22865796525 23186719985 24029873439 24105005925 24981551595 25117198029 25272722475 25486229405 25914569395 26559333801 26753907675 26940888975 27726777045 28642418805 29407187775 29683961307 29901426225 30533007505 31618254525 32012115135 32461407979 32768009235 33048944775 33888283055 35230393275 35338049175 36280397153 36937055925 37455470745 38817487863 39057843825 39256723935 40049789065 41635919325 41736095973 41861996715 43652884275 44265556335 45875212929 46211295075 46646224911 47443596277 47737364675 49473268845 51075641925 53353525225 54613348725 54959413509 56069704691 57084540975 60362122275 60998909499 61376611725 62425784575 64695813105 65427873225 67463548425 68597389575 69560159955 69769994525 72089620317 72315017775 73775927225 76458688215 77743708185 80261723025 80822666925 82455448075 85927256415 88109535943 88221563325 89704278675 91599022515 94854763575 96036345405 97384223937 101664849165 105691179825 106014147525 107826355175 108841191459 112366412235 115933599925 120149367195 124907757975 125585990145 127431147025 129572846975 132796669005 138633885225 142330788831 143212094025 148419806535 152665037525 160060575675 162307039895 163840046175 168209114073 169441415275 181401985765 187277353725 194087439315 196283619675 200248945325 208680479865 209309983575 221327781675 229376064645 233231124555 237217981385 247366344225 264328607829 274797067545 280348523455 292152671811 304994547495 323479065525 326523574377 347800799775 360448101585 382293441075 388718540925 426992366493 429636282075 440547679715 457995112575 480181727025 486921119685 504627342219 508324245825 544205957295 561832061175 600746835975 616766751601 627929950725 663983345025 711653944155 742099032675 792985823487 811535199475 841045570365 907009928825 970437196575 1043402399325 1146880323225 1166155622775 1186089906925 1321643039145 1373985337725 1401742617275 1460763359055 1524972737475 1632617871885 1802240507925 1850300254803 2134961832465 2202738398575 2434605598425 2523136711095 2721029786475 3083833758005 3558269720775 3964929117435 4205227851825 5550900764409 6608215195725 7303816795275 8163089359425 9251501274015 10674809162325 12615683555475 15419168790025 19824645587175 27754503822045 46257506370075 138772519110225
- Sum of all divisors σ(n): 379757868176960
- Sum of proper divisors (its aliquot sum) s(n): 240985349066735
- 138772519110225 is an abundant number, because the sum of its proper divisors (240985349066735) is greater than itself. Its abundance is 102212829956510
Bases of 138772519110225
- Binary: 111111000110110011111101011010011000110010100012
- Hexadecimal: 0x7E367EB4C651
- Base-36: 1D6V7QVLU9
Squares and roots of 138772519110225
- 138772519110225 squared (1387725191102252) is 19257812060197762825699550625
- 138772519110225 cubed (1387725191102253) is 2672455092144915519822182984862007342640625
-
The
square root of 138772519110225 is 11780174.8336017917 -
The
cube root of 138772519110225 is 51772.7408728445
Scales and comparisons
How big is 138772519110225?- 138,772,519,110,225 seconds is equal to 4,412,536 years, 44 weeks, 3 days, 15 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,772,519,110,225 would take you about eleven million, thirty-one thousand, three hundred forty-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 138772519110225 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138772519110225
- 138772519110225 backwards is 522011915277831
- The number of decimal digits it has is: 15
- The sum of 138772519110225's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138772519110225 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138772519110225 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138772519110225/
Chicago style:
Numbermatics. 2024. "Number 138772519110225 - Facts about the integer". https://numbermatics.com/n/138772519110225/
The information we have on file for 138772519110225 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!
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