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44143133124 = 2231937101103503
BaseRepresentation
bin101001000111001000…
…101100000111000100
311012221102002111200110
4221013020230013010
51210401120224444
632140140313020
73121623304056
oct510710540704
9135842074613
1044143133124
11177a2714302
12867b542770
13421653a41c
1421ca93d8d6
1512355d1cb9
hexa4722c1c4

44143133124 has 192 divisors, whose sum is σ = 113772072960. Its totient is φ = 13272076800.

The previous prime is 44143133119. The next prime is 44143133137. The reversal of 44143133124 is 42133134144.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 44143133091 and 44143133100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87759457 + ... + 87759959.

It is an arithmetic number, because the mean of its divisors is an integer number (592562880).

Almost surely, 244143133124 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 44143133124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56886036480).

44143133124 is an abundant number, since it is smaller than the sum of its proper divisors (69628939836).

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

44143133124 is a wasteful number, since it uses less digits than its factorization.

44143133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 44143133124 its reverse (42133134144), we get a palindrome (86276267268).

The spelling of 44143133124 in words is "forty-four billion, one hundred forty-three million, one hundred thirty-three thousand, one hundred twenty-four".