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44130014402100 = 22352114327232413
BaseRepresentation
bin10100000100010110100011…
…10101010001011000110100
312210020210021120122122211120
422002023101311101120310
521241011232141331400
6233505014310103540
712203200616166624
oct1202132165213064
9183223246578746
1044130014402100
1113074485732330
124b4883864abb0
131b8159a23b173
14ac7c92b92884
15517dc9e32ca0
hex2822d1d51634

44130014402100 has 216 divisors, whose sum is σ = 142605036256032. Its totient is φ = 10449388857600.

The previous prime is 44130014402099. The next prime is 44130014402129. The reversal of 44130014402100 is 120441003144.

It is a super-2 number, since 2×441300144021002 (a number of 28 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2485494 + ... + 9717906.

Almost surely, 244130014402100 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 44130014402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71302518128016).

44130014402100 is an abundant number, since it is smaller than the sum of its proper divisors (98475021853932).

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

44130014402100 is a wasteful number, since it uses less digits than its factorization.

44130014402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232527 (or 7232477 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44130014402100 its reverse (120441003144), we get a palindrome (44250455405244).

The spelling of 44130014402100 in words is "forty-four trillion, one hundred thirty billion, fourteen million, four hundred two thousand, one hundred".