137048129204777136

Names of 137048129204777136

• Cardinal: 137048129204777136 can be written as One hundred thirty-seven quadrillion, forty-eight trillion, one hundred twenty-nine billion, two hundred four million, seven hundred seventy-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.37048129204777136 × 10¹⁷

Factors of 137048129204777136

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1221197

Divisors of 137048129204777136

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 243 324 398 432 486 597 648 729 796 972 1194 1296 1458 1592 1791 1944 2187 2388 2916 3184 3582 3888 4374 4776 5373 5832 6561 7164 8748 9552 10746 11664 13122 14328 16119 17496 19683 21492 26244 28656 32238 34992 39366 39601 42984 48357 52488 59049 64476 78732 79202 85968 96714 104976 118098 118803 128952 145071 157464 158404 177147 193428 236196 237606 257904 290142 314928 316808 354294 356409 386856 435213 472392 475212 580284 633616 708588 712818 773712 870426 944784 950424 1069227 1160568 1220993 1305639 1417176 1425636 1740852 1900848 2138454 2321136 2441986 2611278 2834352 2851272 3207681 3481704 3662979 3916917 4276908 4883972 5222556 5702544 6415362 6963408 7325958 7833834 8553816 9623043 9767944 10445112 10988937 11750751 12830724 14651916 15667668 17107632 19246086 19535888 20890224 21977874 23501502 25661448 28869129 29303832 31335336 32966811 35252253 38492172 43955748 47003004 51322896 57738258 58607664 62670672 65933622 70504506 76984344 86607387 87911496 94006008 98900433 115476516 131867244 141009012 153968688 173214774 175822992 188012016 197800866 230953032 242977607 259822161 263734488 282018024 296701299 346429548 395601732 461906064 485955214 519644322 527468976 564036048 593402598 692859096 728932821 779466483 791203464 890103897 971910428 1039288644 1186805196 1385718192 1457865642 1558932966 1582406928 1780207794 1943820856 2078577288 2186798463 2338399449 2373610392 2670311691 2915731284 3117865932 3560415588 3887641712 4157154576 4373596926 4676798898 4747220784 5340623382 5831462568 6235731864 6560395389 7015198347 7120831176 8010935073 8747193852 9353597796 10681246764 11662925136 12471463728 13120790778 14030396694 14241662352 16021870146 17494387704 18707195592 19681186167 21362493528 24032805219 26241581556 28060793388 32043740292 34988775408 37414391184 39362372334 42724987056 48065610438 48352543793 52483163112 56121586776 59043558501 64087480584 72098415657 78724744668 96131220876 96705087586 104966326224 112243173552 118087117002 128174961168 144196831314 145057631379 157449489336 177130675503 192262441752 193410175172 216295246971 236174234004 288393662628 290115262758 314898978672 354261351006 384524883504 386820350344 432590493942 435172894137 472348468008 531392026509 576787325256 580230525516 708522702012 773640700688 865180987884 870345788274 944696936016 1062784053018 1153574650512 1160461051032 1305518682411 1417045404024 1594176079527 1730361975768 1740691576548 2125568106036 2320922102064 2611037364822 2834090808048 3188352159054 3460723951536 3481383153096 3916556047233 4251136212072 4782528238581 5222074729644 6376704318108 6962766306192 7833112094466 8502272424144 9565056477162 10444149459288 11749668141699 12753408636216 14347584715743 15666224188932 19130112954324 20888298918576 23499336283398 25506817272432 28695169431486 31332448377864 35249004425097 38260225908648 43042754147229 46998672566796 57390338862972 62664896755728 70498008850194 76520451817296 86085508294458 93997345133592 105747013275291 114780677725944 140996017700388 172171016588916 187994690267184 211494026550582 229561355451888 281992035400776 317241039825873 344342033177832 422988053101164 563984070801552 634482079651746 688684066355664 845976106202328 951723119477619 1268964159303492 1691952212404656 1903446238955238 2537928318606984 2855169358432857 3806892477910476 5075856637213968 5710338716865714 7613784955820952 8565508075298571 11420677433731428 15227569911641904 17131016150597142 22841354867462856 34262032301194284 45682709734925712 68524064602388568 137048129204777136
• Sum of all divisors σ(n): 400307245902280080
• Sum of proper divisors (its aliquot sum) s(n): 263259116697502944
• 137048129204777136 is an abundant number, because the sum of its proper divisors (263259116697502944) is greater than itself. Its abundance is 126210987492725808

Bases of 137048129204777136

• Binary: 111100110111001001000110000100010011000011111000010110000₂
• Hexadecimal: 0x1E6E48C2261F0B0
• Base-36: 11HFI9EAOR00

Squares and roots of 137048129204777136

• 137048129204777136 squared (137048129204777136²) is 18782189718529287743490763428362496
• 137048129204777136 cubed (137048129204777136³) is 2574063963293638535317114732870646787883597100691456
• The square root of 137048129204777136 is 370200120.4818511887
• The cube root of 137048129204777136 is 515574.0345165819

Scales and comparisons

• 137,048,129,204,777,136 seconds is equal to 4,357,706,591 years, 5 days, 8 hours, 45 minutes, 36 seconds.
• To count from 1 to 137,048,129,204,777,136 would take you about thirteen billion, seventy-three million, one hundred nineteen thousand, seven hundred seventy-three 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 137048129204777136 cubic inches would be around 42964.5 feet tall.

Recreational maths with 137048129204777136

• 137048129204777136 backwards is 631777402921840731
• 137048129204777136 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137048129204777136's digits is 72
• More coming soon!