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14424304430140 = 225111671991972889
BaseRepresentation
bin1101000111100110101110…
…0010101010110000111100
31220001221122120120022002121
43101321223202222300330
53342311433413231030
650402233423332324
73016056465452353
oct321715342526074
956057576508077
1014424304430140
1146613498a0090
12174b63a4510a4
1380828a97a9a7
1437c1d647499a
151a03213be47a
hexd1e6b8aac3c

14424304430140 has 96 divisors (see below), whose sum is σ = 33409708416000. Its totient is φ = 5187590622720.

The previous prime is 14424304430101. The next prime is 14424304430149. The reversal of 14424304430140 is 4103440342441.

It is a junction number, because it is equal to n+sod(n) for n = 14424304430096 and 14424304430105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424304430149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6324816 + ... + 8297704.

It is an arithmetic number, because the mean of its divisors is an integer number (348017796000).

Almost surely, 214424304430140 is an apocalyptic number.

14424304430140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424304430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704854208000).

14424304430140 is an abundant number, since it is smaller than the sum of its proper divisors (18985403985860).

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

14424304430140 is a wasteful number, since it uses less digits than its factorization.

14424304430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973275 (or 1973273 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14424304430140 its reverse (4103440342441), we get a palindrome (18527744772581).

The spelling of 14424304430140 in words is "fourteen trillion, four hundred twenty-four billion, three hundred four million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 199 220 334 398 668 796 835 995 1670 1837 1990 2189 3340 3674 3980 4378 7348 8756 9185 10945 18370 21890 33233 36740 43780 66466 132932 166165 332330 365563 664660 731126 1462252 1827815 1972889 3655630 3945778 7311260 7891556 9864445 19728890 21701779 39457780 43403558 86807116 108508895 217017790 329472463 392604911 434035580 658944926 785209822 1317889852 1570419644 1647362315 1963024555 3294724630 3624197093 3926049110 4318654021 6589449260 7248394186 7852098220 8637308042 14496788372 17274616084 18120985465 21593270105 36241970930 43186540210 65565020137 72483941860 86373080420 131130040274 262260080548 327825100685 655650201370 721215221507 1311300402740 1442430443014 2884860886028 3606076107535 7212152215070 14424304430140