42181013407708224

Names of 42181013407708224

• Cardinal: 42181013407708224 can be written as Forty-two quadrillion, one hundred eighty-one trillion, thirteen billion, four hundred seven million, seven hundred eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.2181013407708224 × 10¹⁶

Factors of 42181013407708224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 482

Divisors of 42181013407708224

• Number of divisors d(n): 1323
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 61 63 64 72 84 96 98 112 122 126 144 147 168 183 192 196 224 244 252 288 294 336 343 366 392 409 427 441 448 488 504 549 576 588 672 686 732 784 818 854 882 976 1008 1029 1098 1176 1227 1281 1344 1372 1464 1568 1636 1708 1764 1952 2016 2058 2196 2352 2401 2454 2562 2744 2863 2928 2989 3087 3136 3272 3416 3528 3681 3721 3843 3904 4032 4116 4392 4704 4802 4908 5124 5488 5726 5856 5978 6174 6544 6832 7056 7203 7362 7442 7686 8232 8589 8784 8967 9408 9604 9816 10248 10976 11163 11452 11712 11956 12348 13088 13664 14112 14406 14724 14884 15372 16464 16807 17178 17568 17934 19208 19632 20041 20496 20923 21609 21952 22326 22904 23912 24696 24949 25767 26047 26176 26901 27328 28224 28812 29448 29768 30744 32928 33489 33614 34356 35136 35868 38416 39264 40082 40992 41846 43218 44652 45808 47824 49392 49898 50421 51534 52094 53802 57624 58896 59536 60123 61488 62769 65856 66978 67228 68712 71736 74847 76832 78141 78528 80164 81984 83692 86436 89304 91616 95648 98784 99796 100842 103068 104188 107604 115248 117649 117792 119072 120246 122976 125538 133956 134456 137424 140287 143472 146461 149694 151263 153664 156282 160328 167281 167384 172872 174643 178608 180369 182329 183232 188307 191296 197568 199592 201684 206136 208376 215208 224541 230496 234423 235298 235584 238144 240492 245952 251076 267912 268912 274848 280574 286944 292922 299388 302526 312564 320656 334562 334768 345744 349286 352947 357216 360738 364658 376614 399184 403368 412272 416752 420861 430416 439383 449082 460992 468846 470596 480984 501843 502152 523929 535824 537824 546987 549696 561148 573888 585844 598776 605052 625128 641312 669124 669536 691488 698572 705894 714432 721476 729316 753228 798368 806736 824544 833504 841722 860832 878766 898164 937692 941192 961968 982009 1003686 1004304 1025227 1047858 1058841 1071648 1075648 1093974 1122296 1170967 1171688 1197552 1210104 1222501 1250256 1262583 1276303 1282624 1318149 1338248 1339072 1382976 1397144 1411788 1442952 1458632 1505529 1506456 1521889 1571787 1596736 1613472 1640961 1649088 1667008 1683444 1721664 1757532 1796328 1875384 1882384 1923936 1964018 2007372 2008608 2050454 2095716 2117682 2143296 2187948 2244592 2341934 2343376 2395104 2420208 2445002 2500512 2525166 2552606 2636298 2676496 2794288 2823576 2885904 2917264 2946027 3011058 3012912 3043778 3075681 3143574 3226944 3281922 3366888 3512901 3515064 3592656 3667503 3750768 3764768 3828909 3847872 3928036 4014744 4017216 4100908 4191432 4235364 4375896 4489184 4565667 4683868 4686752 4790208 4840416 4890004 5001024 5050332 5105212 5272596 5352992 5588576 5647152 5771808 5834528 5892054 6022116 6025824 6087556 6151362 6287148 6563844 6733776 6874063 7025802 7030128 7176589 7185312 7335006 7501536 7529536 7657818 7856072 8029488 8196769 8201816 8382864 8470728 8557507 8751792 8838081 8934121 8978368 9131334 9227043 9367736 9373504 9680832 9780008 10100664 10204141 10210424 10538703 10545192 10653223 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21090506703854112 42181013407708224
• Sum of all divisors σ(n): 143756559888524271
• Sum of proper divisors (its aliquot sum) s(n): 101575546480816047
• 42181013407708224 is an abundant number, because the sum of its proper divisors (101575546480816047) is greater than itself. Its abundance is 59394533073107823

Bases of 42181013407708224

• Binary: 10010101110110110110100010000000011011101011010001000000₂
• Hexadecimal: 0x95DB68806EB440
• Base-36: BJBX61PGGG0

Squares and roots of 42181013407708224

• 42181013407708224 squared (42181013407708224²) is 1779237892101260959727819917234176
• 42181013407708224 cubed (42181013407708224³) is 75050057382225806920780382441678683747660889063424
• 42181013407708224 is a perfect square number. Its square root is 205380168
• The cube root of 42181013407708224 is 348101.3197727603

Scales and comparisons

• 42,181,013,407,708,224 seconds is equal to 1,341,225,751 years, 48 weeks, 7 hours, 50 minutes, 24 seconds.
• To count from 1 to 42,181,013,407,708,224 would take you about four billion, twenty-three million, six hundred seventy-seven thousand, two 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 42181013407708224 cubic inches would be around 29008.4 feet tall.

Recreational maths with 42181013407708224

• 42181013407708224 backwards is 42280770431018124
• The number of decimal digits it has is: 17
• The sum of 42181013407708224's digits is 54
• More coming soon!