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424432324343100 = 2235217112207741683
BaseRepresentation
bin110000010000001001101100…
…1111011000111010100111100
32001122210100000102221110102010
41200200103121323013110330
5421112344400012434400
64102405303522131220
7155254136443156623
oct14040233173072474
92048710012843363
10424432324343100
11113267813189037
123b7299b27b0b10
13152a9a47a49988
1476b48c3dba6ba
1534106d3571450
hex18204d9ec753c

424432324343100 has 144 divisors (see below), whose sum is σ = 1300274250121728. Its totient is φ = 106523098229760.

The previous prime is 424432324343039. The next prime is 424432324343149. The reversal of 424432324343100 is 1343423234424.

It is a happy number.

It is a super-2 number, since 2×4244323243431002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571884859 + ... + 572626541.

It is an arithmetic number, because the mean of its divisors is an integer number (9029682292512).

Almost surely, 2424432324343100 is an apocalyptic number.

It is an amenable number.

424432324343100 is an abundant number, since it is smaller than the sum of its proper divisors (875841925778628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424432324343100 is a wasteful number, since it uses less digits than its factorization.

424432324343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853924 (or 853917 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 424432324343100 its reverse (1343423234424), we get a palindrome (425775747577524).

The spelling of 424432324343100 in words is "four hundred twenty-four trillion, four hundred thirty-two billion, three hundred twenty-four million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 112207 224414 336621 448828 561035 673242 741683 1122070 1346484 1483366 1683105 1907519 2225049 2244140 2805175 2966732 3366210 3708415 3815038 4450098 5610350 5722557 6732420 7416830 7630076 8415525 8900196 9537595 11125245 11220700 11445114 12608611 14833660 16831050 18542075 19075190 22250490 22890228 25217222 28612785 33662100 37084150 37825833 38150380 44500980 47687975 50434444 55626225 57225570 63043055 74168300 75651666 95375950 111252450 114451140 126086110 143063925 151303332 189129165 190751900 222504900 252172220 286127850 315215275 378258330 572255700 630430550 756516660 945645825 1260861100 1891291650 3782583300 83222024381 166444048762 249666073143 332888097524 416110121905 499332146286 832220243810 998664292572 1248330365715 1414774414477 1664440487620 2080550609525 2496660731430 2829548828954 4161101219050 4244323243431 4993321462860 5659097657908 6241651828575 7073872072385 8322202438100 8488646486862 12483303657150 14147744144770 16977292973724 21221616217155 24966607314300 28295488289540 35369360361925 42443232434310 70738720723850 84886464868620 106108081085775 141477441447700 212216162171550 424432324343100