Search a number
-
+
4454534134050 = 2352711131719531733
BaseRepresentation
bin100000011010010011011…
…1011001011100100100010
3120202211221010212010011120
41000310212323023210202
51040440341214242200
613250215033553110
7636554336254440
oct100644673134442
916684833763146
104454534134050
111468180431040
125bb39a575796
132640a3671b40
1411585a0a5b90
157ad1532a9a0
hex40d26ecb922

4454534134050 has 1536 divisors, whose sum is σ = 16853401313280. Its totient is φ = 747026841600.

The previous prime is 4454534134027. The next prime is 4454534134073. The reversal of 4454534134050 is 504314354544.

It is an interprime number because it is at equal distance from previous prime (4454534134027) and next prime (4454534134073).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4454534133993 and 4454534134011.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 2570416984 + ... + 2570418716.

It is an arithmetic number, because the mean of its divisors is an integer number (10972266480).

Almost surely, 24454534134050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454534134050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426700656640).

4454534134050 is an abundant number, since it is smaller than the sum of its proper divisors (12398867179230).

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

4454534134050 is a wasteful number, since it uses less digits than its factorization.

4454534134050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 4454534134050 its reverse (504314354544), we get a palindrome (4958848488594).

The spelling of 4454534134050 in words is "four trillion, four hundred fifty-four billion, five hundred thirty-four million, one hundred thirty-four thousand, fifty".