138307064168448

Names of 138307064168448

• Cardinal: 138307064168448 can be written as One hundred thirty-eight trillion, three hundred seven billion, sixty-four million, one hundred sixty-eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.38307064168448 × 10¹⁴

Factors of 138307064168448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 564

Divisors of 138307064168448

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 73 84 96 112 126 128 144 146 168 192 219 224 252 256 288 292 336 384 438 448 479 504 511 512 576 584 657 672 768 876 896 958 1008 1022 1024 1152 1168 1314 1344 1437 1533 1536 1752 1792 1916 2016 2044 2048 2304 2336 2628 2688 2874 3066 3072 3353 3504 3584 3832 4032 4088 4096 4311 4599 4608 4672 5256 5376 5748 6132 6144 6706 7008 7168 7664 8064 8176 8192 8622 9198 9216 9344 10059 10512 10752 11496 12264 12288 13412 14016 14336 15328 16128 16352 16384 17244 18396 18432 18688 20118 21024 21504 22992 24528 24576 26824 28032 28672 30177 30656 32256 32704 32768 34488 34967 36792 36864 37376 40236 42048 43008 45984 49056 49152 53648 56064 57344 60354 61312 64512 65408 65536 68976 69934 73584 73728 74752 80472 84096 86016 91968 98112 98304 104901 107296 112128 114688 120708 122624 129024 130816 131072 137952 139868 147168 147456 149504 160944 168192 172032 183936 196224 196608 209802 214592 224256 229376 229441 241416 244769 245248 258048 261632 275904 279736 294336 294912 299008 314703 321888 336384 344064 367872 392448 393216 419604 429184 448512 458752 458882 482832 489538 490496 516096 523264 551808 559472 588672 589824 598016 629406 643776 672768 688128 688323 734307 735744 784896 839208 858368 897024 917504 917764 965664 979076 980992 1032192 1046528 1103616 1118944 1177344 1179648 1196032 1258812 1287552 1345536 1376256 1376646 1468614 1471488 1569792 1606087 1678416 1716736 1794048 1835528 1931328 1958152 1961984 2064384 2064969 2093056 2202921 2207232 2237888 2354688 2392064 2517624 2575104 2691072 2752512 2753292 2937228 2942976 3139584 3212174 3356832 3433472 3588096 3671056 3862656 3916304 3923968 4128768 4129938 4186112 4405842 4414464 4475776 4709376 4784128 4818261 5035248 5150208 5382144 5506584 5874456 5885952 6279168 6424348 6713664 6866944 7176192 7342112 7725312 7832608 7847936 8257536 8259876 8372224 8811684 8828928 8951552 9418752 9568256 9636522 10070496 10300416 10764288 11013168 11748912 11771904 12558336 12848696 13427328 13733888 14352384 14454783 14684224 15450624 15665216 15695872 16519752 16744448 16749193 17623368 17657856 17903104 18837504 19273044 20140992 20600832 21528576 22026336 23497824 23543808 25116672 25697392 26854656 27467776 28704768 28909566 29368448 30901248 31330432 31391744 33039504 33488896 33498386 35246736 35315712 35806208 37675008 38546088 40281984 41201664 43057152 44052672 46995648 47087616 50233344 50247579 51394784 53709312 54935552 57819132 58736896 61802496 62660864 62783488 66079008 66977792 66996772 70493472 70631424 71612416 75350016 77092176 80563968 82403328 86114304 88105344 93991296 94175232 100466688 100495158 102789568 107418624 109871104 115638264 117244351 117473792 123604992 125321728 132158016 133993544 140986944 141262848 143224832 150700032 150742737 154184352 161127936 164806656 176210688 187982592 188350464 200933376 200990316 205579136 214837248 219742208 231276528 234488702 234947584 247209984 250643456 264316032 267987088 281973888 282525696 286449664 301400064 301485474 308368704 322255872 329613312 351733053 352421376 375965184 401980632 411158272 429674496 439484416 462553056 468977404 469895168 494419968 501286912 528632064 535974176 563947776 565051392 572899328 602800128 602970948 616737408 644511744 659226624 703466106 704842752 751930368 803961264 822316544 859348992 925106112 937954808 939790336 988839936 1002573824 1055199159 1057264128 1071948352 1127895552 1145798656 1205941896 1233474816 1289023488 1318453248 1406932212 1409685504 1503860736 1607922528 1644633088 1718697984 1850212224 1875909616 1879580672 1977679872 2005147648 2110398318 2114528256 2143896704 2255791104 2291597312 2411883792 2466949632 2578046976 2813864424 2819371008 3007721472 3215845056 3289266176 3437395968 3700424448 3751819232 3759161344 3955359744 4010295296 4220796636 4229056512 4287793408 4511582208 4583194624 4823767584 4933899264 5156093952 5627728848 5638742016 6015442944 6431690112 6578532352 6874791936 7400848896 7503638464 7518322688 8020590592 8441593272 8458113024 8575586816 9023164416 9647535168 9867798528 10312187904 11255457696 11277484032 12030885888 12863380224 13157064704 13749583872 14801697792 15007276928 15036645376 16041181184 16883186544 16916226048 17151173632 18046328832 19295070336 19735597056 20624375808 22510915392 22554968064 24061771776 25726760448 26314129408 29603395584 30014553856 30073290752 32082362368 33766373088 33832452096 34302347264 36092657664 38590140672 39471194112 41248751616 45021830784 45109936128 48123543552 51453520896 52628258816 59206791168 60029107712 67532746176 67664904192 68604694528 72185315328 77180281344 78942388224 90043661568 90219872256 96247087104 102907041792 105256517632 118413582336 120058215424 135065492352 135329808384 137209389056 144370630656 154360562688 157884776448 180087323136 205814083584 210513035264 236827164672 240116430848 270130984704 270659616768 274418778112 288741261312 308721125376 315769552896 360174646272 411628167168 473654329344 480232861696 540261969408 548837556224 617442250752 631539105792 720349292544 823256334336 947308658688 960465723392 1080523938816 1097675112448 1234884501504 1440698585088 1646512668672 1894617317376 1920931446784 2161047877632 2195350224896 2469769003008 2881397170176 3293025337344 3841862893568 4322095755264 4939538006016 5762794340352 6586050674688 7683725787136 8644191510528 9879076012032 11525588680704 15367451574272 17288383021056 19758152024064 23051177361408 34576766042112 46102354722816 69153532084224 138307064168448
• Sum of all divisors σ(n): 463854702690288
• Sum of proper divisors (its aliquot sum) s(n): 325547638521840
• 138307064168448 is an abundant number, because the sum of its proper divisors (325547638521840) is greater than itself. Its abundance is 187240574353392

Bases of 138307064168448

• Binary: 11111011100101000011111011011100000000000000000₂
• Hexadecimal: 0x7DCA1F6E0000
• Base-36: 1D0XDZ0U80

Squares and roots of 138307064168448

• 138307064168448 squared (138307064168448²) is 19128843998895192661718728704
• 138307064168448 cubed (138307064168448³) is 2645654254423428854682559974343961468731392
• The square root of 138307064168448 is 11760402.3812303293
• The cube root of 138307064168448 is 51714.7926309387

Scales and comparisons

• 138,307,064,168,448 seconds is equal to 4,397,736 years, 43 weeks, 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,307,064,168,448 would take you about ten million, nine hundred ninety-four 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 138307064168448 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138307064168448

• 138307064168448 backwards is 844861460703831
• 138307064168448 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138307064168448's digits is 63
• More coming soon!