Search a number
-
+
4354520130000 = 243254194359221
BaseRepresentation
bin111111010111011101101…
…000000010000111010000
3120102021202222212021222100
4333113131220002013100
51032321024123130000
613132234450440400
7626414032252005
oct77273550020720
916367688767870
104354520130000
111429818100547
125a3b27b93100
13257824c9b1a1
14110a8d23b8ac
157840ec76a00
hex3f5dda021d0

4354520130000 has 600 divisors, whose sum is σ = 16402944752480. Its totient is φ = 1074487680000.

The previous prime is 4354520129969. The next prime is 4354520130001. The reversal of 4354520130000 is 310254534.

4354520130000 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 520 + 130 + 0 + 0 + 0 = 666.

4354520130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354520130001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73500390 + ... + 73559610.

Almost surely, 24354520130000 is an apocalyptic number.

4354520130000 is a gapful number since it is divisible by the number (40) 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 4354520130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201472376240).

4354520130000 is an abundant number, since it is smaller than the sum of its proper divisors (12048424622480).

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

4354520130000 is a wasteful number, since it uses less digits than its factorization.

4354520130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59317 (or 59293 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 4354520130000 its reverse (310254534), we get a palindrome (4354830384534).

The spelling of 4354520130000 in words is "four trillion, three hundred fifty-four billion, five hundred twenty million, one hundred thirty thousand".