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5432113422144 = 2632292511295611
BaseRepresentation
bin100111100001100001100…
…1100001101111101000000
3201020022020022202100221100
41033003003030031331000
51202444432014002034
615315251202454400
71100312556150453
oct117030314157500
921208208670840
105432113422144
111804823459262
12738943964400
133053278a4936
1414acb693549a
159647d55d099
hex4f0c330df40

5432113422144 has 168 divisors, whose sum is σ = 16171258914720. Its totient is φ = 1741299840000.

The previous prime is 5432113422139. The next prime is 5432113422157. The reversal of 5432113422144 is 4412243112345.

5432113422144 is a `hidden beast` number, since 5 + 4 + 3 + 211 + 3 + 422 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5432113422099 and 5432113422108.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3544899 + ... + 4840509.

It is an arithmetic number, because the mean of its divisors is an integer number (96257493540).

Almost surely, 25432113422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5432113422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085629457360).

5432113422144 is an abundant number, since it is smaller than the sum of its proper divisors (10739145492576).

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

5432113422144 is a wasteful number, since it uses less digits than its factorization.

5432113422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295909 (or 1295896 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 5432113422144 its reverse (4412243112345), we get a palindrome (9844356534489).

The spelling of 5432113422144 in words is "five trillion, four hundred thirty-two billion, one hundred thirteen million, four hundred twenty-two thousand, one hundred forty-four".