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14260414640 = 2451710485599
BaseRepresentation
bin11010100011111110…
…01010100010110000
31100210211111010022012
431101333022202300
5213201131232030
610315014102052
71013246344613
oct152177124260
940724433265
1014260414640
1160586a564a
12291b94a928
131463559a94
14993d0417a
15586e23095
hex351fca8b0

14260414640 has 40 divisors (see below), whose sum is σ = 35105788800. Its totient is φ = 5368626176.

The previous prime is 14260414633. The next prime is 14260414697. The reversal of 14260414640 is 4641406241.

14260414640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14260414597 and 14260414606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5241440 + ... + 5244159.

It is an arithmetic number, because the mean of its divisors is an integer number (877644720).

Almost surely, 214260414640 is an apocalyptic number.

14260414640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14260414640 is an abundant number, since it is smaller than the sum of its proper divisors (20845374160).

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

14260414640 is a wasteful number, since it uses less digits than its factorization.

14260414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485629 (or 10485623 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 14260414640 in words is "fourteen billion, two hundred sixty million, four hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10485599 20971198 41942396 52427995 83884792 104855990 167769584 178255183 209711980 356510366 419423960 713020732 838847920 891275915 1426041464 1782551830 2852082928 3565103660 7130207320 14260414640