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44242000000 = 2756112011
BaseRepresentation
bin101001001101000001…
…110101100010000000
311020012022010110112121
4221031001311202000
51211101423000000
632154031334024
73124233536512
oct511501654200
9136168113477
1044242000000
1117843501470
1286a8681314
134230b75233
1421d9b17bb2
15123e110b1a
hexa4d075880

44242000000 has 224 divisors, whose sum is σ = 120246898320. Its totient is φ = 16080000000.

The previous prime is 44241999931. The next prime is 44242000007. The reversal of 44242000000 is 24244.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44242000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21998995 + ... + 22001005.

Almost surely, 244242000000 is an apocalyptic number.

44242000000 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 44242000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60123449160).

44242000000 is an abundant number, since it is smaller than the sum of its proper divisors (76004898320).

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

44242000000 is an frugal number, since it uses more digits than its factorization.

44242000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 44242000000 its reverse (24244), we get a palindrome (44242024244).

It can be divided in two parts, 44 and 242000000, that multiplied together give a cube (10648000000 = 22003).

The spelling of 44242000000 in words is "forty-four billion, two hundred forty-two million", and thus it is an aban number.