42517238120448

Names of 42517238120448

• Cardinal: 42517238120448 can be written as Forty-two trillion, five hundred seventeen billion, two hundred thirty-eight million, one hundred twenty thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.2517238120448 × 10¹³

Factors of 42517238120448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 128

Divisors of 42517238120448

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 103 104 112 128 147 156 168 182 192 196 206 208 224 256 273 294 309 312 336 364 384 392 412 416 448 512 546 588 618 624 637 672 721 728 768 784 824 832 896 1024 1092 1176 1236 1248 1274 1339 1344 1442 1456 1536 1568 1648 1664 1792 1911 2048 2163 2184 2352 2472 2496 2548 2678 2688 2884 2912 3072 3136 3296 3328 3584 3822 4017 4096 4326 4368 4704 4944 4992 5047 5096 5356 5376 5768 5824 6144 6272 6592 6656 7168 7644 8034 8192 8652 8736 9373 9408 9888 9984 10094 10192 10609 10712 10752 11536 11648 12288 12544 13184 13312 14336 15141 15288 16068 16384 17304 17472 18746 18816 19776 19968 20188 20384 21218 21424 21504 23072 23296 24576 25088 26368 26624 28119 28672 30282 30576 31827 32136 32768 34608 34944 37492 37632 39552 39936 40376 40768 42436 42848 43008 46144 46592 49152 50176 52736 53248 56238 57344 60564 61152 63654 64272 65536 65611 69216 69888 74263 74984 75264 79104 79872 80752 81536 84872 85696 86016 92288 93184 98304 100352 105472 106496 112476 114688 121128 122304 127308 128544 131072 131222 137917 138432 139776 148526 149968 150528 158208 159744 161504 163072 169744 171392 172032 184576 186368 196608 196833 200704 210944 212992 222789 224952 229376 242256 244608 254616 257088 262144 262444 275834 276864 279552 297052 299936 301056 316416 319488 323008 326144 339488 342784 344064 369152 372736 393216 393666 401408 413751 421888 425984 445578 449904 458752 484512 489216 509232 514176 519841 524288 524888 551668 553728 559104 594104 599872 602112 632832 638976 646016 652288 678976 685568 688128 738304 745472 786432 787332 802816 827502 843776 851968 891156 899808 917504 965419 969024 978432 1018464 1028352 1039682 1048576 1049776 1103336 1107456 1118208 1188208 1199744 1204224 1265664 1277952 1292032 1304576 1357952 1371136 1376256 1476608 1490944 1559523 1572864 1574664 1605632 1655004 1687552 1703936 1782312 1799616 1835008 1930838 1938048 1956864 2036928 2056704 2079364 2097152 2099552 2206672 2214912 2236416 2376416 2399488 2408448 2531328 2555904 2584064 2609152 2715904 2742272 2752512 2896257 2953216 2981888 3119046 3145728 3149328 3211264 3310008 3375104 3407872 3564624 3599232 3670016 3861676 3876096 3913728 4073856 4113408 4158728 4199104 4413344 4429824 4472832 4752832 4798976 4816896 5062656 5111808 5168128 5218304 5431808 5484544 5505024 5792514 5906432 5963776 6238092 6291456 6298656 6422528 6620016 6750208 6757933 6815744 7129248 7198464 7340032 7723352 7752192 7827456 8147712 8226816 8317456 8398208 8826688 8859648 8945664 9505664 9597952 9633792 10125312 10223616 10336256 10436608 10863616 10969088 11010048 11585028 11812864 11927552 12476184 12597312 12845056 13240032 13500416 13515866 13631488 14258496 14396928 14680064 15446704 15504384 15654912 16295424 16453632 16634912 16796416 17653376 17719296 17891328 19011328 19195904 19267584 20250624 20273799 20447232 20672512 20873216 21727232 21938176 22020096 23170056 23625728 23855104 24952368 25194624 25690112 26480064 27000832 27031732 27262976 28516992 28793856 30893408 31008768 31309824 32590848 32907264 33269824 33592832 35306752 35438592 35782656 38022656 38391808 38535168 40501248 40547598 40894464 41345024 41746432 43454464 43876352 44040192 46340112 47251456 47710208 49904736 50389248 51380224 52960128 54001664 54063464 57033984 57587712 61786816 62017536 62619648 65181696 65814528 66539648 67185664 70613504 70877184 71565312 76045312 76783616 77070336 81002496 81095196 81788928 82690048 83492864 86908928 87752704 92680224 94502912 95420416 99809472 100778496 102760448 105920256 108003328 108126928 114067968 115175424 123573632 124035072 125239296 130363392 131629056 133079296 134371328 141227008 141754368 143130624 152090624 153567232 154140672 162004992 162190392 165380096 166985728 173817856 175505408 185360448 189005824 190840832 199618944 201556992 211840512 216006656 216253856 228135936 230350848 247147264 248070144 250478592 260726784 263258112 266158592 268742656 282454016 283508736 286261248 304181248 307134464 308281344 324009984 324380784 330760192 333971456 347635712 351010816 370720896 378011648 399237888 403113984 423681024 432507712 456271872 460701696 494294528 496140288 500957184 521453568 526516224 532317184 537485312 564908032 567017472 572522496 608362496 614268928 648019968 648761568 661520384 667942912 695271424 702021632 741441792 756023296 798475776 806227968 847362048 865015424 912543744 921403392 988589056 992280576 1001914368 1042907136 1053032448 1064634368 1074970624 1129816064 1134034944 1216724992 1228537856 1297523136 1323040768 1335885824 1390542848 1404043264 1482883584 1512046592 1596951552 1612455936 1694724096 1730030848 1825087488 1842806784 1977178112 1984561152 2003828736 2085814272 2106064896 2129268736 2149941248 2259632128 2268069888 2433449984 2457075712 2595046272 2646081536 2781085696 2808086528 2965767168 3193903104 3224911872 3389448192 3460061696 3650174976 3685613568 3954356224 3969122304 4007657472 4171628544 4212129792 4258537472 4299882496 4519264256 4536139776 4866899968 4914151424 5190092544 5292163072 5562171392 5931534336 6387806208 6449823744 6778896384 6920123392 7300349952 7371227136 7908712448 7938244608 8343257088 8424259584 8517074944 8599764992 9038528512 9733799936 9828302848 10380185088 10584326144 11124342784 11863068672 12775612416 12899647488 13557792768 13840246784 14600699904 14742454272 15817424896 15876489216 16686514176 17034149888 17199529984 18077057024 19467599872 19656605696 20760370176 22248685568 23726137344 25551224832 25799294976 27115585536 27680493568 29201399808 29484908544 31634849792 31752978432 33373028352 34068299776 34399059968 36154114048 38935199744 41520740352 47452274688 51102449664 51598589952 54231171072 55360987136 58402799616 58969817088 63269699584 66746056704 68136599552 68798119936 72308228096 77870399488 83041480704 94904549376 102204899328 103197179904 108462342144 110721974272 116805599232 126539399168 136273199104 137596239872 144616456192 155740798976 166082961408 189809098752 204409798656 206394359808 216924684288 221443948544 233611198464 253078798336 272546398208 289232912384 332165922816 379618197504 408819597312 412788719616 433849368576 442887897088 467222396928 506157596672 545092796416 664331845632 759236395008 817639194624 867698737152 885775794176 1012315193344 1090185592832 1328663691264 1518472790016 1635278389248 1771551588352 2024630386688 2657327382528 3036945580032 3270556778496 3543103176704 5314654765056 6073891160064 7086206353408 10629309530112 14172412706816 21258619060224 42517238120448
• Sum of all divisors σ(n): 143427949180488
• Sum of proper divisors (its aliquot sum) s(n): 100910711060040
• 42517238120448 is an abundant number, because the sum of its proper divisors (100910711060040) is greater than itself. Its abundance is 58393472939592

Bases of 42517238120448

• Binary: 1001101010101101010000111000000000000000000000₂
• Hexadecimal: 0x26AB50E00000
• Base-36: F2K5DTBEO

Squares and roots of 42517238120448

• 42517238120448 squared (42517238120448²) is 1807715537390876579755720704
• 42517238120448 cubed (42517238120448³) is 76859071957281519617756261311912599355392
• The square root of 42517238120448 is 6520524.3746533147
• The cube root of 42517238120448 is 34902.3777934147

Scales and comparisons

• 42,517,238,120,448 seconds is equal to 1,351,916 years, 34 weeks, 1 day, 10 hours, 20 minutes, 48 seconds.
• To count from 1 to 42,517,238,120,448 would take you about three million, three hundred seventy-nine thousand, seven hundred ninety-one 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 42517238120448 cubic inches would be around 2908.5 feet tall.

Recreational maths with 42517238120448

• 42517238120448 backwards is 84402183271524
• The number of decimal digits it has is: 14
• The sum of 42517238120448's digits is 51
• More coming soon!