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14050305504 = 2532232121121
BaseRepresentation
bin11010001010111011…
…01010010111100000
31100021012010110202100
431011131222113200
5212233334234004
610242110450400
71005115424544
oct150535522740
940235113670
1014050305504
115a60038534
122881503a00
13142bb73351
1497404da24
1557376d739
hex34576a5e0

14050305504 has 72 divisors (see below), whose sum is σ = 41692774032. Its totient is φ = 4479805440.

The previous prime is 14050305431. The next prime is 14050305509. The reversal of 14050305504 is 40550305041.

14050305504 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 (72).

It is a super-2 number, since 2×140503055042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14050305509) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1053937 + ... + 1067184.

It is an arithmetic number, because the mean of its divisors is an integer number (579066306).

Almost surely, 214050305504 is an apocalyptic number.

It is an amenable number.

14050305504 is an abundant number, since it is smaller than the sum of its proper divisors (27642468528).

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

14050305504 is a wasteful number, since it uses less digits than its factorization.

14050305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121160 (or 2121149 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 14050305504 in words is "fourteen billion, fifty million, three hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 2121121 4242242 6363363 8484484 12726726 16968968 19090089 25453452 33937936 38180178 48785783 50906904 67875872 76360356 97571566 101813808 146357349 152720712 195143132 203627616 292714698 305441424 390286264 439072047 585429396 610882848 780572528 878144094 1170858792 1561145056 1756288188 2341717584 3512576376 4683435168 7025152752 14050305504