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14398504640 = 265132941271
BaseRepresentation
bin11010110100011011…
…11011111011000000
31101011110022211011122
431122031323323000
5213442004122030
610340425531412
71016544161432
oct153215737300
941143284148
1014398504640
116119642713
12295a043b68
131486048940
149a83ac652
155940ed8e5
hex35a37bec0

14398504640 has 336 divisors, whose sum is σ = 39702882240. Its totient is φ = 4937318400.

The previous prime is 14398504613. The next prime is 14398504649. The reversal of 14398504640 is 4640589341.

It is a junction number, because it is equal to n+sod(n) for n = 14398504591 and 14398504600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14398504649) 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 47 ways as a sum of consecutive naturals, for example, 202795805 + ... + 202795875.

It is an arithmetic number, because the mean of its divisors is an integer number (118163340).

Almost surely, 214398504640 is an apocalyptic number.

14398504640 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 14398504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19851441120).

14398504640 is an abundant number, since it is smaller than the sum of its proper divisors (25304377600).

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

14398504640 is a wasteful number, since it uses less digits than its factorization.

14398504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 14398504640 in words is "fourteen billion, three hundred ninety-eight million, five hundred four thousand, six hundred forty".