138017789767133248

Names of 138017789767133248

• Cardinal: 138017789767133248 can be written as One hundred thirty-eight quadrillion, seventeen trillion, seven hundred eighty-nine billion, seven hundred sixty-seven million, one hundred thirty-three thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 1.38017789767133248 × 10¹⁷

Factors of 138017789767133248

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3659

Divisors of 138017789767133248

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 158 196 224 316 343 392 448 553 632 686 784 1106 1264 1372 1568 2212 2528 2744 3136 3571 3871 4424 5056 5488 6241 7142 7742 8848 10976 12482 14284 15484 17696 21952 24964 24997 27097 28568 30968 35392 43687 49928 49994 54194 57136 61936 87374 99856 99988 108388 114272 123872 174748 174979 199712 199976 216776 228544 247744 282109 305809 349496 349958 399424 399952 433552 493039 564218 611618 698992 699916 799904 867104 986078 1128436 1223236 1224853 1397984 1399832 1599808 1734208 1972156 1974763 2140663 2256872 2446472 2449706 2795968 2799664 3451273 3944312 3949526 4281326 4513744 4892944 4899412 5599328 6902546 7888624 7899052 8562652 9027488 9785888 9798824 11198656 12752041 13805092 13823341 15777248 15798104 17125304 18054976 19571776 19597648 22286611 24158911 25504082 27610184 27646682 31554496 31596208 34250608 39195296 44573222 48317822 51008164 55220368 55293364 63192416 68501216 78390592 89146444 89264287 96635644 96763387 102016328 110440736 110586728 126384832 137002432 156006277 169112377 178292888 178528574 193271288 193526774 204032656 220881472 221173456 312012554 338224754 356585776 357057148 386542576 387053548 408065312 442346912 624025108 624850009 676449508 713171552 714114296 773085152 774107096 816130624 884693824 1007411239 1092043939 1248050216 1249700018 1352899016 1426343104 1428228592 1546170304 1548214192 1760642269 2014822478 2184087878 2496100432 2499400036 2705798032 2856457184 3096428384 3521284538 4029644956 4368175756 4373950063 4992200864 4998800072 5411596064 5712914368 6192856768 7042569076 7051878673 7644307573 8059289912 8736351512 8747900126 9984401728 9997600144 10823192128 12324495883 14085138152 14103757346 15288615146 16118579824 17472703024 17495800252 19995200288 24648991766 28170276304 28207514692 30577230292 32237159648 34945406048 34991600504 39990400576 49297983532 49363150711 56340552608 56415029384 61154460584 64474319296 69890812096 69983201008 79585487881 86271471181 98595967064 98726301422 112681105216 112830058768 122308921168 139966402016 159170975762 172542942362 197191934128 197452602844 225660117536 244617842336 279932804032 318341951524 345085884724 345542054977 394383868256 394905205688 451320235072 489235684672 557098415167 603900298267 636683903048 690171769448 691084109954 788767736512 789810411376 1114196830334 1207800596534 1273367806096 1380343538896 1382168219908 1579620822752 2228393660668 2415601193068 2546735612192 2760687077792 2764336439816 3159241645504 3899688906169 4456787321336 4831202386136 5093471224384 5521374155584 5528672879632 6287253542599 7799377812338 8913574642672 9662404772272 11057345759264 12574507085198 15598755624676 17827149285344 19324809544544 22114691518528 25149014170396 27297822343183 31197511249352 35654298570688 38649619089088 44010774798193 50298028340792 54595644686366 62395022498704 88021549596386 100596056681584 109191289372732 124790044997408 176043099192772 201192113363168 218382578745464 249580089994816 308075423587351 352086198385544 402384226726336 436765157490928 616150847174702 704172396771088 873530314981856 1232301694349404 1408344793542176 1747060629963712 2156527965111457 2464603388698808 2816689587084352 4313055930222914 4929206777397616 8626111860445828 9858413554795232 17252223720891656 19716827109590464 34504447441783312 69008894883566624 138017789767133248
• Sum of all divisors σ(n): 323577859710144000
• Sum of proper divisors (its aliquot sum) s(n): 185560069943010752
• 138017789767133248 is an abundant number, because the sum of its proper divisors (185560069943010752) is greater than itself. Its abundance is 47542280175877504

Bases of 138017789767133248

• Binary: 111101010010101100111001011010011110000010010100001000000₂
• Hexadecimal: 0x1EA5672D3C12840
• Base-36: 11QZ81B5MC74

Squares and roots of 138017789767133248

• 138017789767133248 squared (138017789767133248²) is 19048910292204591103190764187029504
• 138017789767133248 cubed (138017789767133248³) is 2629088496002474023030997171816828714244678875348992
• The square root of 138017789767133248 is 371507455.8701793377
• The cube root of 138017789767133248 is 516787.1299046667

Scales and comparisons

• 138,017,789,767,133,248 seconds is equal to 4,388,538,797 years, 28 weeks, 18 hours, 47 minutes, 28 seconds.
• To count from 1 to 138,017,789,767,133,248 would take you about thirteen billion, one hundred sixty-five million, six hundred sixteen thousand, three hundred ninety-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 138017789767133248 cubic inches would be around 43065.6 feet tall.

Recreational maths with 138017789767133248

• 138017789767133248 backwards is 842331767987710831
• The number of decimal digits it has is: 18
• The sum of 138017789767133248's digits is 85
• More coming soon!