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14178380640 = 2535198231889
BaseRepresentation
bin11010011010001100…
…01110101101100000
31100121010010100210220
431031012032231200
5213014131140030
610302523523040
71011232150464
oct151506165540
940533110726
1014178380640
116016365256
1228b8389480
13144c566958
1498706c4a4
1557eb1ba10
hex34d18eb60

14178380640 has 192 divisors, whose sum is σ = 47094566400. Its totient is φ = 3575660544.

The previous prime is 14178380597. The next prime is 14178380641. The reversal of 14178380640 is 4608387141.

It is a junction number, because it is equal to n+sod(n) for n = 14178380592 and 14178380601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14178380641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7504816 + ... + 7506704.

It is an arithmetic number, because the mean of its divisors is an integer number (245284200).

Almost surely, 214178380640 is an apocalyptic number.

14178380640 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 14178380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23547283200).

14178380640 is an abundant number, since it is smaller than the sum of its proper divisors (32916185760).

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

14178380640 is a wasteful number, since it uses less digits than its factorization.

14178380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 14178380640 in words is "fourteen billion, one hundred seventy-eight million, three hundred eighty thousand, six hundred forty".