420717350144

Names of 420717350144

• Cardinal: 420717350144 can be written as Four hundred twenty billion, seven hundred seventeen million, three hundred fifty thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.20717350144 × 10¹¹

Factors of 420717350144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1187

Divisors of 420717350144

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 31 32 41 52 56 62 64 82 91 104 112 124 128 164 169 182 208 217 224 248 256 287 328 338 364 403 416 434 448 496 533 574 656 676 728 806 832 868 896 992 1066 1093 1148 1183 1271 1312 1352 1456 1612 1664 1736 1792 1984 2132 2186 2296 2366 2542 2624 2704 2821 2912 3224 3328 3472 3731 3968 4264 4372 4592 4732 5084 5239 5248 5408 5642 5824 6448 6929 6944 7462 7651 7936 8528 8744 8897 9184 9464 10168 10478 10496 10816 11284 11648 12896 13858 13888 14209 14924 15302 16523 17056 17488 17794 18368 18928 20336 20956 21632 22568 23296 25792 27716 27776 28418 29848 30604 33046 33883 34112 34976 35588 36673 36736 37856 40672 41912 43264 44813 45136 48503 51584 55432 55552 56836 59696 61208 66092 67766 68224 69952 71176 73346 73472 75712 81344 83824 89626 90272 97006 99463 103168 110864 113672 115661 119392 122416 132184 135532 136448 139904 142352 146692 151424 162688 167648 179252 180544 184717 194012 198926 214799 221728 227344 231322 237181 238784 244832 264368 271064 279808 284704 293384 302848 313691 325376 335296 358504 361088 369434 388024 397852 429598 440479 443456 454688 462644 474362 477568 489664 528736 542128 569408 582569 586768 627382 670592 717008 722176 738868 776048 795704 859196 880958 886912 909376 925288 948724 955136 979328 1057472 1084256 1138816 1165138 1173536 1254764 1293019 1341184 1389203 1434016 1477736 1503593 1552096 1591408 1718392 1761916 1773824 1818752 1850576 1897448 1958656 2114944 2168512 2277632 2330276 2347072 2509528 2586038 2778406 2868032 2955472 3007186 3083353 3104192 3182816 3436784 3523832 3637504 3701152 3794896 4077983 4229888 4337024 4660552 4694144 5019056 5172076 5556812 5726227 5736064 5910944 6014372 6166706 6208384 6365632 6873568 7047664 7402304 7573397 7589792 8155966 8674048 9321104 9388288 9724421 10038112 10344152 11113624 11452454 11472128 11821888 12028744 12333412 12416768 12731264 13747136 14095328 14804608 15146794 15179584 16311932 18059639 18642208 19448842 20076224 20688304 22227248 22904908 23643776 24057488 24666824 25462528 27494272 28190656 29609216 30293588 30359168 32623864 36119278 37284416 38897684 40083589 40152448 41376608 44454496 45809816 47287552 48114976 49333648 53013779 54988544 56381312 60587176 60718336 65247728 72238556 74568832 77795368 80167178 80304896 82753216 88908992 91619632 96229952 98667296 106027558 112762624 121174352 126417473 130495456 144477112 149137664 155590736 160334356 165506432 177817984 183239264 192459904 197334592 212055116 234775307 242348704 252834946 260990912 288954224 311181472 320668712 331012864 355635968 366478528 384919808 394669184 424110232 469550614 484697408 505669892 521981824 577908448 622362944 641337424 732957056 789338368 848220464 939101228 969394816 1011339784 1043963648 1155816896 1244725888 1282674848 1465914112 1643427149 1696440928 1878202456 1938789632 2022679568 2311633792 2489451776 2565349696 3286854298 3392881856 3756404912 4045359136 4623267584 5130699392 6573708596 6785763712 7512809824 8090718272 10261398784 13147417192 13571527424 15025619648 16181436544 26294834384 30051239296 32362873088 52589668768 60102478592 105179337536 210358675072 420717350144
• Sum of all divisors σ(n): 1099964242944
• Sum of proper divisors (its aliquot sum) s(n): 679246892800
• 420717350144 is an abundant number, because the sum of its proper divisors (679246892800) is greater than itself. Its abundance is 258529542656

Bases of 420717350144

• Binary: 110000111110100101101010100110100000000₂
• Hexadecimal: 0x61F4B54D00
• Base-36: 5D9W8WZK

Squares and roots of 420717350144

• 420717350144 squared (420717350144²) is 177003088712189096820736
• 420717350144 cubed (420717350144³) is 74468270450295554287868704911785984
• The square root of 420717350144 is 648627.2813750591
• The cube root of 420717350144 is 7493.1335682389

Scales and comparisons

• 420,717,350,144 seconds is equal to 13,377 years, 26 weeks, 3 days, 18 hours, 35 minutes, 44 seconds.
• To count from 1 to 420,717,350,144 would take you about twenty-six thousand, seven hundred fifty-five 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 420717350144 cubic inches would be around 624.4 feet tall.

Recreational maths with 420717350144

• 420717350144 backwards is 441053717024
• The number of decimal digits it has is: 12
• The sum of 420717350144's digits is 38
• More coming soon!