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14378451048 = 233313341739
BaseRepresentation
bin11010110010000010…
…11100000001101000
31101010001120222211000
431121001130001220
5213421340413143
610334432035000
71016211550233
oct153101340150
941101528730
1014378451048
1161092960a5
122953392a60
131481b47000
149a586c41a
1559248bbd3
hex35905c068

14378451048 has 256 divisors, whose sum is σ = 44382240000. Its totient is φ = 4310392320.

The previous prime is 14378451041. The next prime is 14378451067. The reversal of 14378451048 is 84015487341.

14378451048 is a `hidden beast` number, since 14 + 3 + 7 + 84 + 510 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14378450994 and 14378451012.

It is not an unprimeable number, because it can be changed into a prime (14378451041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19456263 + ... + 19457001.

It is an arithmetic number, because the mean of its divisors is an integer number (173368125).

Almost surely, 214378451048 is an apocalyptic number.

14378451048 is a gapful number since it is divisible by the number (18) 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 14378451048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191120000).

14378451048 is an abundant number, since it is smaller than the sum of its proper divisors (30003788952).

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

14378451048 is a wasteful number, since it uses less digits than its factorization.

14378451048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 14378451048 in words is "fourteen billion, three hundred seventy-eight million, four hundred fifty-one thousand, forty-eight".