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14255361450 = 23352116115737
BaseRepresentation
bin11010100011010111…
…11000110110101010
31100210110222101122000
431101223320312222
5213143333031300
610314313511430
71013155400361
oct152153706652
940713871560
1014255361450
116055864060
12291a112576
1314624aaa25
1499338a7d8
15586775c00
hex351af8daa

14255361450 has 192 divisors, whose sum is σ = 43557747840. Its totient is φ = 3398976000.

The previous prime is 14255361437. The next prime is 14255361457. The reversal of 14255361450 is 5416355241.

14255361450 is a `hidden beast` number, since 1 + 4 + 2 + 553 + 61 + 45 + 0 = 666.

It is a super-2 number, since 2×142553614502 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14255361457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897982 + ... + 913718.

It is an arithmetic number, because the mean of its divisors is an integer number (226863270).

Almost surely, 214255361450 is an apocalyptic number.

14255361450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14255361450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778873920).

14255361450 is an abundant number, since it is smaller than the sum of its proper divisors (29302386390).

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

14255361450 is a wasteful number, since it uses less digits than its factorization.

14255361450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 14255361450 in words is "fourteen billion, two hundred fifty-five million, three hundred sixty-one thousand, four hundred fifty".