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44111142000 = 243453277983
BaseRepresentation
bin101001000101001110…
…101001110001110000
311012212011220012010000
4221011032221301300
51210314423021000
632133034510000
73121054343352
oct510516516160
9135764805100
1044111142000
1117786653962
128670895300
13420ca19073
1421c65b30d2
1512328b3000
hexa453a9c70

44111142000 has 400 divisors, whose sum is σ = 160070594112. Its totient is φ = 11708582400.

The previous prime is 44111141929. The next prime is 44111142011. The reversal of 44111142000 is 24111144.

44111142000 is a `hidden beast` number, since 441 + 11 + 14 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44873509 + ... + 44874491.

Almost surely, 244111142000 is an apocalyptic number.

44111142000 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 44111142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80035297056).

44111142000 is an abundant number, since it is smaller than the sum of its proper divisors (115959452112).

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

44111142000 is a wasteful number, since it uses less digits than its factorization.

44111142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 44111142000 its reverse (24111144), we get a palindrome (44135253144).

It can be divided in two parts, 4411 and 1142000, that added together give a palindrome (1146411).

The spelling of 44111142000 in words is "forty-four billion, one hundred eleven million, one hundred forty-two thousand".