138827316157425
138,827,316,157,425 is an odd composite number composed of seven prime numbers multiplied together.
138827316157425 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138827316157425:
34 × 52 × 73 × 53 × 61 × 211 × 293
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 53 × 61 × 211 × 293)See below for interesting mathematical facts about the number 138827316157425 from the Numbermatics database.
Names of 138827316157425
- Cardinal: 138827316157425 can be written as One hundred thirty-eight trillion, eight hundred twenty-seven billion, three hundred sixteen million, one hundred fifty-seven thousand, four hundred twenty-five.
Scientific notation
- Scientific notation: 1.38827316157425 × 1014
Factors of 138827316157425
Divisors of 138827316157425
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 49 53 61 63 75 81 105 135 147 159 175 183 189 211 225 245 265 293 305 315 343 371 405 427 441 477 525 549 567 633 675 735 795 879 915 945 1029 1055 1113 1225 1281 1323 1325 1431 1465 1477 1525 1575 1647 1715 1855 1899 2025 2051 2135 2205 2385 2597 2637 2745 2835 2989 3087 3165 3233 3339 3675 3843 3969 3975 4293 4395 4431 4575 4725 4941 5145 5275 5565 5697 6153 6405 6615 7155 7325 7385 7791 7911 8235 8575 8967 9261 9275 9495 9699 10017 10255 10339 10675 11025 11183 11529 11925 12871 12985 13185 13293 13725 14175 14357 14945 15435 15529 15825 16165 16695 17091 17873 18179 18459 19215 19845 20923 21465 21975 22155 22631 23373 23733 24705 25725 26901 27783 27825 28485 29097 30051 30765 31017 32025 33075 33549 34587 35775 36925 38613 38955 39555 39879 41175 43071 44835 46305 46587 47475 48495 50085 51275 51695 53619 54537 55377 55915 57645 61823 62769 64355 64925 65925 66465 67893 70119 71785 72373 74725 77175 77645 78281 80703 80825 83475 85455 87291 89365 90097 90895 92295 93051 96075 99225 100499 100647 104615 107325 108703 110775 113155 115839 116865 118665 119637 123525 125111 129213 134505 138915 139761 142425 145485 150255 153825 155085 158417 160857 163611 166131 167745 172935 185469 188307 193065 194775 197775 199395 203679 210357 215355 217119 224175 231525 232935 234843 242109 242475 250425 258475 261873 268095 270291 272685 276885 279153 279575 288225 301497 301941 309115 313845 321775 326109 332325 339465 347517 350595 358925 361865 375333 387639 388225 391405 403515 419283 427275 432761 436455 446825 450485 454475 461475 465255 475251 482571 490833 502495 503235 523075 543515 547967 556407 564921 565775 579195 584325 593325 598185 611037 625555 630679 646065 651357 672525 682163 694575 698805 704529 727425 751275 760921 775425 792085 804285 810873 818055 830655 837459 838725 864675 875777 904491 905823 927345 941535 947269 965325 978327 996975 1018395 1042551 1051785 1076775 1085595 1108919 1125999 1162917 1164675 1174215 1210545 1257849 1298283 1309365 1340475 1351455 1363425 1384425 1395765 1425753 1447713 1472499 1507485 1509705 1545575 1569225 1630545 1643901 1669221 1694763 1697325 1737585 1752975 1809325 1833111 1876665 1892037 1938195 1954071 1957025 2017575 2046489 2096415 2113587 2163805 2182275 2252425 2282763 2326275 2376255 2412855 2432619 2454165 2512475 2516175 2627331 2713473 2717575 2739835 2782035 2824605 2841807 2895975 2934981 2990925 3029327 3055185 3127775 3153395 3230325 3256785 3276619 3326757 3377997 3410815 3494025 3522645 3771203 3804605 3835769 3894849 3960425 4021425 4054365 4090275 4153275 4187295 4277259 4378885 4414753 4522455 4529115 4636725 4707675 4736345 4775141 4891635 4931703 5007663 5091975 5212755 5258925 5326447 5427975 5544595 5629995 5676111 5814585 5862213 5871075 6052725 6130439 6139467 6289245 6340761 6491415 6546825 6630883 6757275 6848289 6978825 7128765 7238565 7297857 7362495 7537425 7548525 7881993 8140419 8152725 8219505 8346105 8473815 8525421 8687925 8804943 9087981 9165555 9383325 9460185 9690975 9770355 9829857 9980271 10133991 10232445 10482075 10567935 10819025 11313609 11413815 11507307 11684547 11881275 12064275 12163095 12270825 12831777 13136655 13244259 13567365 13699175 13910175 14123025 14209035 14325423 14674905 14795109 15146635 15275925 15766975 15979341 16283925 16383095 16633785 16889985 17028333 17054075 17613225 18391317 18418401 18856015 19023025 19178845 19474245 19892649 20271825 20544867 20936475 21205289 21386295 21894425 22073765 22612275 22645575 22936333 23645979 23681725 23875705 24458175 24658515 25038315 25576263 26063775 26398421 26632235 27263943 27722975 28149975 28380555 29072925 29311065 29489571 29940813 30652195 30697335 31446225 31703805 32457075 33154415 33425987 33940827 34241445 34521921 35053641 35643825 36192825 36489285 36812475 39409965 39732777 40702095 41097525 41730525 42369075 42627105 42976269 44024715 44385327 45439905 45827775 46416181 47300925 47938023 48851775 49149285 49901355 50669955 51084999 51162225 52839675 55173951 55255203 56568045 57069075 57536535 58422735 59677947 60815475 61634601 63615867 64158885 65683275 66221295 67836825 68808999 70937937 71045175 71627115 73374525 73975545 75733175 76728789 79195263 79896705 81791829 81915475 83168925 84449925 85141665 88468713 89822439 91956585 92092005 94280075 95894225 97371225 99463245 100277961 101822481 102724335 103565763 106026445 106931475 110368825 114681665 118229895 119198331 119378525 123292575 125191575 127881315 128928807 131992105 133161175 136319715 139248543 141902775 143814069 146555325 147447855 149704065 153260975 153486675 158519025 160554331 165521853 165772075 167129935 169704135 171207225 172609605 175268205 179033841 182446425 184788947 190847601 197049825 198663885 199873759 203510475 206426997 213135525 214881345 220123575 221926635 227199525 232080905 233981909 237585789 239690115 245375487 245746425 249506775 253349775 255424995 265406139 275869755 276276015 282840225 287682675 292113675 298389735 300833883 305467443 308173005 310697289 318079335 320794425 324913267 331106475 344044995 354689685 357594993 358135575 369877725 383643945 386786421 395976315 399483525 408959145 417745629 425708325 431442207 442343565 449112195 459782925 460460025 481662993 496565559 497316225 501389805 509112405 513621675 517828815 530132225 537101523 554366841 572542803 573408325 591149475 595991655 599621277 619280991 639406575 644644035 659960525 681598575 696242715 701945727 712757367 719070345 737239275 748520325 802771655 827609265 835649675 848520675 863048025 876341025 895169205 902501649 923944735 954238005 974739801 993319425 999368795 1032134985 1074406725 1109633175 1123880317 1160404525 1169909545 1187928945 1198450575 1226877435 1253236887 1277124975 1293522629 1327030695 1379348775 1381380075 1399116313 1444988979 1491948675 1504169415 1527337215 1540865025 1553486445 1590396675 1624566335 1663100523 1717628409 1720224975 1773448425 1787974965 1798863831 1857842973 1918219725 1933932105 1979881575 2044795725 2088728145 2105837181 2138272101 2157211035 2211717825 2245560975 2408314965 2482827795 2506949025 2545562025 2589144075 2685507615 2707504947 2771834205 2862714015 2924219403 2979958275 2998106385 3096404955 3223220175 3371640951 3481213575 3509728635 3563786835 3595351725 3759710661 3880567887 4013858275 4138046325 4197348939 4334966937 4475846025 4512508245 4619723675 4771190025 4873699005 4989301569 4996843975 5160674925 5396591493 5619401585 5849547725 5939644725 6134387175 6266184435 6317511543 6467613145 6635153475 6995581565 7224944895 7520847075 7636686075 7767432225 8122831675 8315502615 8588142045 8772658209 8939874825 8994319155 9289214865 9669660525 9793814191 10114922853 10443640725 10529185905 10691360505 10786055175 11641703661 12041574825 12414138975 12592046817 13004900811 13427538075 13537524735 13859171025 14313570075 14621097015 14967904707 14990531925 15482024775 16189774479 16858204755 17548643175 17818934175 18798553305 18952534629 19402839435 20986744695 21674834685 22562541225 24368495025 24946507845 26317974627 26982957465 28097007925 29381442573 30344768559 31330922175 31587557715 32338065725 34925110983 34977907825 36124724475 37776140451 41577513075 42940710225 43863291045 44971595775 46446074325 48969070955 50574614265 52645929525 53456802525 58208518305 62960234085 65024504055 67687623675 68556699337 73105485075 74839523535 80948872395 84291023775 88144327719 91034305677 93992766525 94762673145 97014197175 104775332949 104933723475 108374173425 113328421353 124732539225 131589873135 134914787325 146907212865 151723842795 157937788575 174625554915 188880702255 205670098011 219316455225 244845354775 252873071325 264432983157 291042591525 314801170425 325122520275 342783496685 374197617675 404744361975 440721638595 455171528385 473813365725 523876664745 566642106765 617010294033 657949365675 734536064325 758619213975 793298949471 873127774575 944403511275 1028350490055 1322164915785 1713917483425 1851030882099 2203608192975 2275857641925 2619383323725 2833210533825 3085051470165 3966494747355 5141752450275 5553092646297 6610824578925 9255154410495 15425257350825 19832473736775 27765463231485 46275772052475 138827316157425
- Sum of all divisors σ(n): 313094685657600
- Sum of proper divisors (its aliquot sum) s(n): 174267369500175
- 138827316157425 is an abundant number, because the sum of its proper divisors (174267369500175) is greater than itself. Its abundance is 35440053342750
Bases of 138827316157425
- Binary: 111111001000011010000001101110101011011111100012
- Hexadecimal: 0x7E4340DD5BF1
- Base-36: 1D7KDZMI29
Squares and roots of 138827316157425
- 138827316157425 squared (1388273161574252) is 19273023711473636467382630625
- 138827316157425 cubed (1388273161574253) is 2675622156102299113305189375565863126140625
-
The
square root of 138827316157425 is 11782500.4204296551 -
The
cube root of 138827316157425 is 51779.5544696845
Scales and comparisons
How big is 138827316157425?- 138,827,316,157,425 seconds is equal to 4,414,279 years, 12 weeks, 17 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,827,316,157,425 would take you about eleven million, thirty-five thousand, six 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 138827316157425 cubic inches would be around 4315 feet tall.
Recreational maths with 138827316157425
- 138827316157425 backwards is 524751613728831
- 138827316157425 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138827316157425's digits is 63
- More coming soon!
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The information we have on file for 138827316157425 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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