Search a number
-
+
14147450880 = 211352320023
BaseRepresentation
bin11010010110100000…
…01111100000000000
31100111221220222011020
431023100033200000
5212433221412010
610255500545440
71010405230323
oct151320174000
940457828136
1014147450880
115aaa95a272
1228a9b52280
131446027714
14982cda7ba
1557c05c470
hex34b40f800

14147450880 has 192 divisors, whose sum is σ = 47231009280. Its totient is φ = 3608444928.

The previous prime is 14147450833. The next prime is 14147450887. The reversal of 14147450880 is 8805474141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147450887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696549 + ... + 716571.

It is an arithmetic number, because the mean of its divisors is an integer number (245994840).

Almost surely, 214147450880 is an apocalyptic number.

14147450880 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 14147450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615504640).

14147450880 is an abundant number, since it is smaller than the sum of its proper divisors (33083558400).

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

14147450880 is a wasteful number, since it uses less digits than its factorization.

14147450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20076 (or 20056 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 14147450880 in words is "fourteen billion, one hundred forty-seven million, four hundred fifty thousand, eight hundred eighty".