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43144125444 = 22347217159857
BaseRepresentation
bin101000001011100101…
…110001110000000100
311010100210021122210000
4220023211301300010
51201324344003234
631453052201300
73055103005200
oct501345616004
9133323248700
1043144125444
111732a809022
128440a69230
1340b7589b14
142133dadb00
1511c7a49899
hexa0b971c04

43144125444 has 180 divisors, whose sum is σ = 138920118876. Its totient is φ = 11601709056.

The previous prime is 43144125419. The next prime is 43144125467. The reversal of 43144125444 is 44452144134.

It can be written as a sum of positive squares in 2 ways, for example, as 25204737600 + 17939387844 = 158760^2 + 133938^2 .

It is a super-3 number, since 3×431441254443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 43144125399 and 43144125408.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 189964 + ... + 349820.

Almost surely, 243144125444 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 43144125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69460059438).

43144125444 is an abundant number, since it is smaller than the sum of its proper divisors (95775993432).

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

43144125444 is a wasteful number, since it uses less digits than its factorization.

43144125444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159904 (or 159886 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 43144125444 its reverse (44452144134), we get a palindrome (87596269578).

The spelling of 43144125444 in words is "forty-three billion, one hundred forty-four million, one hundred twenty-five thousand, four hundred forty-four".